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9 | 1939-1942 | 40 kg m s
−
−
×
= 2 76 × 10–34 m
This wavelength is so small that it is beyond any measurement This
is the reason why macroscopic objects in our daily life do not show wave-
like properties On the other hand, in the sub-atomic domain, the wave
character of particles is significant and measurable |
9 | 1940-1943 | 76 × 10–34 m
This wavelength is so small that it is beyond any measurement This
is the reason why macroscopic objects in our daily life do not show wave-
like properties On the other hand, in the sub-atomic domain, the wave
character of particles is significant and measurable Example 11 |
9 | 1941-1944 | This
is the reason why macroscopic objects in our daily life do not show wave-
like properties On the other hand, in the sub-atomic domain, the wave
character of particles is significant and measurable Example 11 3 What is the de Broglie wavelength associated with (a) an
electron moving with a speed of 5 |
9 | 1942-1945 | On the other hand, in the sub-atomic domain, the wave
character of particles is significant and measurable Example 11 3 What is the de Broglie wavelength associated with (a) an
electron moving with a speed of 5 4´106 m/s, and (b) a ball of mass 150 g
travelling at 30 |
9 | 1943-1946 | Example 11 3 What is the de Broglie wavelength associated with (a) an
electron moving with a speed of 5 4´106 m/s, and (b) a ball of mass 150 g
travelling at 30 0 m/s |
9 | 1944-1947 | 3 What is the de Broglie wavelength associated with (a) an
electron moving with a speed of 5 4´106 m/s, and (b) a ball of mass 150 g
travelling at 30 0 m/s Solution
(a) For the electron:
Mass m = 9 |
9 | 1945-1948 | 4´106 m/s, and (b) a ball of mass 150 g
travelling at 30 0 m/s Solution
(a) For the electron:
Mass m = 9 11´10–31 kg, speed v = 5 |
9 | 1946-1949 | 0 m/s Solution
(a) For the electron:
Mass m = 9 11´10–31 kg, speed v = 5 4´106 m/s |
9 | 1947-1950 | Solution
(a) For the electron:
Mass m = 9 11´10–31 kg, speed v = 5 4´106 m/s Then, momentum
p = m v = 9 |
9 | 1948-1951 | 11´10–31 kg, speed v = 5 4´106 m/s Then, momentum
p = m v = 9 11´10–31 (kg) ´ 5 |
9 | 1949-1952 | 4´106 m/s Then, momentum
p = m v = 9 11´10–31 (kg) ´ 5 4 ´ 106 (m/s)
p = 4 |
9 | 1950-1953 | Then, momentum
p = m v = 9 11´10–31 (kg) ´ 5 4 ´ 106 (m/s)
p = 4 92 ´ 10–24 kg m/s
de Broglie wavelength, l = h/p
= |
9 | 1951-1954 | 11´10–31 (kg) ´ 5 4 ´ 106 (m/s)
p = 4 92 ´ 10–24 kg m/s
de Broglie wavelength, l = h/p
= –34
–24
6 63 10
J s
4 92 10
kg m/s
×
×
l = 0 |
9 | 1952-1955 | 4 ´ 106 (m/s)
p = 4 92 ´ 10–24 kg m/s
de Broglie wavelength, l = h/p
= –34
–24
6 63 10
J s
4 92 10
kg m/s
×
×
l = 0 135 nm
(b) For the ball:
Mass m ’ = 0 |
9 | 1953-1956 | 92 ´ 10–24 kg m/s
de Broglie wavelength, l = h/p
= –34
–24
6 63 10
J s
4 92 10
kg m/s
×
×
l = 0 135 nm
(b) For the ball:
Mass m ’ = 0 150 kg, speed v ’ = 30 |
9 | 1954-1957 | –34
–24
6 63 10
J s
4 92 10
kg m/s
×
×
l = 0 135 nm
(b) For the ball:
Mass m ’ = 0 150 kg, speed v ’ = 30 0 m/s |
9 | 1955-1958 | 135 nm
(b) For the ball:
Mass m ’ = 0 150 kg, speed v ’ = 30 0 m/s Then momentum p’ = m’ v’ = 0 |
9 | 1956-1959 | 150 kg, speed v ’ = 30 0 m/s Then momentum p’ = m’ v’ = 0 150 (kg) ´ 30 |
9 | 1957-1960 | 0 m/s Then momentum p’ = m’ v’ = 0 150 (kg) ´ 30 0 (m/s)
p ’= 4 |
9 | 1958-1961 | Then momentum p’ = m’ v’ = 0 150 (kg) ´ 30 0 (m/s)
p ’= 4 50 kg m/s
de Broglie wavelength l’ = h/p’ |
9 | 1959-1962 | 150 (kg) ´ 30 0 (m/s)
p ’= 4 50 kg m/s
de Broglie wavelength l’ = h/p’ – |
9 | 1960-1963 | 0 (m/s)
p ’= 4 50 kg m/s
de Broglie wavelength l’ = h/p’ – 6 63 1034
Js
4 50
kg m/s
×
=
×
l’= 1 |
9 | 1961-1964 | 50 kg m/s
de Broglie wavelength l’ = h/p’ – 6 63 1034
Js
4 50
kg m/s
×
=
×
l’= 1 47 ´10–34 m
The de Broglie wavelength of electron is comparable with X-ray
wavelengths |
9 | 1962-1965 | – 6 63 1034
Js
4 50
kg m/s
×
=
×
l’= 1 47 ´10–34 m
The de Broglie wavelength of electron is comparable with X-ray
wavelengths However, for the ball it is about 10–19 times the size of
the proton, quite beyond experimental measurement |
9 | 1963-1966 | 6 63 1034
Js
4 50
kg m/s
×
=
×
l’= 1 47 ´10–34 m
The de Broglie wavelength of electron is comparable with X-ray
wavelengths However, for the ball it is about 10–19 times the size of
the proton, quite beyond experimental measurement SUMMARY
1 |
9 | 1964-1967 | 47 ´10–34 m
The de Broglie wavelength of electron is comparable with X-ray
wavelengths However, for the ball it is about 10–19 times the size of
the proton, quite beyond experimental measurement SUMMARY
1 The minimum energy needed by an electron to come out from a metal
surface is called the work function of the metal |
9 | 1965-1968 | However, for the ball it is about 10–19 times the size of
the proton, quite beyond experimental measurement SUMMARY
1 The minimum energy needed by an electron to come out from a metal
surface is called the work function of the metal Energy (greater than
the work function (fo) required for electron emission from the metal
surface can be supplied by suitably heating or applying strong electric
field or irradiating it by light of suitable frequency |
9 | 1966-1969 | SUMMARY
1 The minimum energy needed by an electron to come out from a metal
surface is called the work function of the metal Energy (greater than
the work function (fo) required for electron emission from the metal
surface can be supplied by suitably heating or applying strong electric
field or irradiating it by light of suitable frequency 2 |
9 | 1967-1970 | The minimum energy needed by an electron to come out from a metal
surface is called the work function of the metal Energy (greater than
the work function (fo) required for electron emission from the metal
surface can be supplied by suitably heating or applying strong electric
field or irradiating it by light of suitable frequency 2 Photoelectric effect is the phenomenon of emission of electrons by metals
when illuminated by light of suitable frequency |
9 | 1968-1971 | Energy (greater than
the work function (fo) required for electron emission from the metal
surface can be supplied by suitably heating or applying strong electric
field or irradiating it by light of suitable frequency 2 Photoelectric effect is the phenomenon of emission of electrons by metals
when illuminated by light of suitable frequency Certain metals respond
to ultraviolet light while others are sensitive even to the visible light |
9 | 1969-1972 | 2 Photoelectric effect is the phenomenon of emission of electrons by metals
when illuminated by light of suitable frequency Certain metals respond
to ultraviolet light while others are sensitive even to the visible light Photoelectric effect involves conversion of light energy into electrical
energy |
9 | 1970-1973 | Photoelectric effect is the phenomenon of emission of electrons by metals
when illuminated by light of suitable frequency Certain metals respond
to ultraviolet light while others are sensitive even to the visible light Photoelectric effect involves conversion of light energy into electrical
energy It follows the law of conservation of energy |
9 | 1971-1974 | Certain metals respond
to ultraviolet light while others are sensitive even to the visible light Photoelectric effect involves conversion of light energy into electrical
energy It follows the law of conservation of energy The photoelectric
emission is an instantaneous process and possesses certain special
features |
9 | 1972-1975 | Photoelectric effect involves conversion of light energy into electrical
energy It follows the law of conservation of energy The photoelectric
emission is an instantaneous process and possesses certain special
features Rationalised 2023-24
287
Dual Nature of Radiation
and Matter
3 |
9 | 1973-1976 | It follows the law of conservation of energy The photoelectric
emission is an instantaneous process and possesses certain special
features Rationalised 2023-24
287
Dual Nature of Radiation
and Matter
3 Photoelectric current depends on (i) the intensity of incident light, (ii)
the potential difference applied between the two electrodes, and (iii)
the nature of the emitter material |
9 | 1974-1977 | The photoelectric
emission is an instantaneous process and possesses certain special
features Rationalised 2023-24
287
Dual Nature of Radiation
and Matter
3 Photoelectric current depends on (i) the intensity of incident light, (ii)
the potential difference applied between the two electrodes, and (iii)
the nature of the emitter material 4 |
9 | 1975-1978 | Rationalised 2023-24
287
Dual Nature of Radiation
and Matter
3 Photoelectric current depends on (i) the intensity of incident light, (ii)
the potential difference applied between the two electrodes, and (iii)
the nature of the emitter material 4 The stopping potential (Vo) depends on (i) the frequency of incident
light, and (ii) the nature of the emitter material |
9 | 1976-1979 | Photoelectric current depends on (i) the intensity of incident light, (ii)
the potential difference applied between the two electrodes, and (iii)
the nature of the emitter material 4 The stopping potential (Vo) depends on (i) the frequency of incident
light, and (ii) the nature of the emitter material For a given frequency
of incident light, it is independent of its intensity |
9 | 1977-1980 | 4 The stopping potential (Vo) depends on (i) the frequency of incident
light, and (ii) the nature of the emitter material For a given frequency
of incident light, it is independent of its intensity The stopping potential
is directly related to the maximum kinetic energy of electrons emitted:
e V0 = (1/2) m v2
max = Kmax |
9 | 1978-1981 | The stopping potential (Vo) depends on (i) the frequency of incident
light, and (ii) the nature of the emitter material For a given frequency
of incident light, it is independent of its intensity The stopping potential
is directly related to the maximum kinetic energy of electrons emitted:
e V0 = (1/2) m v2
max = Kmax 5 |
9 | 1979-1982 | For a given frequency
of incident light, it is independent of its intensity The stopping potential
is directly related to the maximum kinetic energy of electrons emitted:
e V0 = (1/2) m v2
max = Kmax 5 Below a certain frequency (threshold frequency) n 0, characteristic of
the metal, no photoelectric emission takes place, no matter how large
the intensity may be |
9 | 1980-1983 | The stopping potential
is directly related to the maximum kinetic energy of electrons emitted:
e V0 = (1/2) m v2
max = Kmax 5 Below a certain frequency (threshold frequency) n 0, characteristic of
the metal, no photoelectric emission takes place, no matter how large
the intensity may be 6 |
9 | 1981-1984 | 5 Below a certain frequency (threshold frequency) n 0, characteristic of
the metal, no photoelectric emission takes place, no matter how large
the intensity may be 6 The classical wave theory could not explain the main features of
photoelectric effect |
9 | 1982-1985 | Below a certain frequency (threshold frequency) n 0, characteristic of
the metal, no photoelectric emission takes place, no matter how large
the intensity may be 6 The classical wave theory could not explain the main features of
photoelectric effect Its picture of continuous absorption of energy
from radiation could not explain the independence of Kmax on
intensity, the existence of no and the instantaneous nature of the
process |
9 | 1983-1986 | 6 The classical wave theory could not explain the main features of
photoelectric effect Its picture of continuous absorption of energy
from radiation could not explain the independence of Kmax on
intensity, the existence of no and the instantaneous nature of the
process Einstein explained these features on the basis of photon
picture of light |
9 | 1984-1987 | The classical wave theory could not explain the main features of
photoelectric effect Its picture of continuous absorption of energy
from radiation could not explain the independence of Kmax on
intensity, the existence of no and the instantaneous nature of the
process Einstein explained these features on the basis of photon
picture of light According to this, light is composed of discrete
packets of energy called quanta or photons |
9 | 1985-1988 | Its picture of continuous absorption of energy
from radiation could not explain the independence of Kmax on
intensity, the existence of no and the instantaneous nature of the
process Einstein explained these features on the basis of photon
picture of light According to this, light is composed of discrete
packets of energy called quanta or photons Each photon carries an
energy E (= h n) and momentum p (= h/l), which depend on the
frequency (n ) of incident light and not on its intensity |
9 | 1986-1989 | Einstein explained these features on the basis of photon
picture of light According to this, light is composed of discrete
packets of energy called quanta or photons Each photon carries an
energy E (= h n) and momentum p (= h/l), which depend on the
frequency (n ) of incident light and not on its intensity Photoelectric
emission from the metal surface occurs due to absorption of a photon
by an electron |
9 | 1987-1990 | According to this, light is composed of discrete
packets of energy called quanta or photons Each photon carries an
energy E (= h n) and momentum p (= h/l), which depend on the
frequency (n ) of incident light and not on its intensity Photoelectric
emission from the metal surface occurs due to absorption of a photon
by an electron 7 |
9 | 1988-1991 | Each photon carries an
energy E (= h n) and momentum p (= h/l), which depend on the
frequency (n ) of incident light and not on its intensity Photoelectric
emission from the metal surface occurs due to absorption of a photon
by an electron 7 Einstein’s photoelectric equation is in accordance with the energy
conservation law as applied to the photon absorption by an electron in
the metal |
9 | 1989-1992 | Photoelectric
emission from the metal surface occurs due to absorption of a photon
by an electron 7 Einstein’s photoelectric equation is in accordance with the energy
conservation law as applied to the photon absorption by an electron in
the metal The maximum kinetic energy (1/2)m v2
max is equal to
the photon energy (hn ) minus the work function f0 (= hn0) of the
target metal:
1
2 m v2
max = V0 e = hn – f0 = h (n – n0)
This photoelectric equation explains all the features of the photoelectric
effect |
9 | 1990-1993 | 7 Einstein’s photoelectric equation is in accordance with the energy
conservation law as applied to the photon absorption by an electron in
the metal The maximum kinetic energy (1/2)m v2
max is equal to
the photon energy (hn ) minus the work function f0 (= hn0) of the
target metal:
1
2 m v2
max = V0 e = hn – f0 = h (n – n0)
This photoelectric equation explains all the features of the photoelectric
effect Millikan’s first precise measurements confirmed the Einstein’s
photoelectric equation and obtained an accurate value of Planck’s
constant h |
9 | 1991-1994 | Einstein’s photoelectric equation is in accordance with the energy
conservation law as applied to the photon absorption by an electron in
the metal The maximum kinetic energy (1/2)m v2
max is equal to
the photon energy (hn ) minus the work function f0 (= hn0) of the
target metal:
1
2 m v2
max = V0 e = hn – f0 = h (n – n0)
This photoelectric equation explains all the features of the photoelectric
effect Millikan’s first precise measurements confirmed the Einstein’s
photoelectric equation and obtained an accurate value of Planck’s
constant h This led to the acceptance of particle or photon description
(nature) of electromagnetic radiation, introduced by Einstein |
9 | 1992-1995 | The maximum kinetic energy (1/2)m v2
max is equal to
the photon energy (hn ) minus the work function f0 (= hn0) of the
target metal:
1
2 m v2
max = V0 e = hn – f0 = h (n – n0)
This photoelectric equation explains all the features of the photoelectric
effect Millikan’s first precise measurements confirmed the Einstein’s
photoelectric equation and obtained an accurate value of Planck’s
constant h This led to the acceptance of particle or photon description
(nature) of electromagnetic radiation, introduced by Einstein 8 |
9 | 1993-1996 | Millikan’s first precise measurements confirmed the Einstein’s
photoelectric equation and obtained an accurate value of Planck’s
constant h This led to the acceptance of particle or photon description
(nature) of electromagnetic radiation, introduced by Einstein 8 Radiation has dual nature: wave and particle |
9 | 1994-1997 | This led to the acceptance of particle or photon description
(nature) of electromagnetic radiation, introduced by Einstein 8 Radiation has dual nature: wave and particle The nature of experiment
determines whether a wave or particle description is best suited for
understanding the experimental result |
9 | 1995-1998 | 8 Radiation has dual nature: wave and particle The nature of experiment
determines whether a wave or particle description is best suited for
understanding the experimental result Reasoning that radiation and
matter should be symmetrical in nature, Louis Victor de Broglie
attributed a wave-like character to matter (material particles) |
9 | 1996-1999 | Radiation has dual nature: wave and particle The nature of experiment
determines whether a wave or particle description is best suited for
understanding the experimental result Reasoning that radiation and
matter should be symmetrical in nature, Louis Victor de Broglie
attributed a wave-like character to matter (material particles) The waves
associated with the moving material particles are called matter waves
or de Broglie waves |
9 | 1997-2000 | The nature of experiment
determines whether a wave or particle description is best suited for
understanding the experimental result Reasoning that radiation and
matter should be symmetrical in nature, Louis Victor de Broglie
attributed a wave-like character to matter (material particles) The waves
associated with the moving material particles are called matter waves
or de Broglie waves 9 |
9 | 1998-2001 | Reasoning that radiation and
matter should be symmetrical in nature, Louis Victor de Broglie
attributed a wave-like character to matter (material particles) The waves
associated with the moving material particles are called matter waves
or de Broglie waves 9 The de Broglie wavelength (l) associated with a moving particle is
related to its momentum p as: l = h/p |
9 | 1999-2002 | The waves
associated with the moving material particles are called matter waves
or de Broglie waves 9 The de Broglie wavelength (l) associated with a moving particle is
related to its momentum p as: l = h/p The dualism of matter is
inherent in the de Broglie relation which contains a wave concept
(l) and a particle concept (p) |
9 | 2000-2003 | 9 The de Broglie wavelength (l) associated with a moving particle is
related to its momentum p as: l = h/p The dualism of matter is
inherent in the de Broglie relation which contains a wave concept
(l) and a particle concept (p) The de Broglie wavelength is
independent of the charge and nature of the material particle |
9 | 2001-2004 | The de Broglie wavelength (l) associated with a moving particle is
related to its momentum p as: l = h/p The dualism of matter is
inherent in the de Broglie relation which contains a wave concept
(l) and a particle concept (p) The de Broglie wavelength is
independent of the charge and nature of the material particle It is
significantly measurable (of the order of the atomic-planes spacing
in crystals) only in case of sub-atomic particles like electrons,
protons, etc |
9 | 2002-2005 | The dualism of matter is
inherent in the de Broglie relation which contains a wave concept
(l) and a particle concept (p) The de Broglie wavelength is
independent of the charge and nature of the material particle It is
significantly measurable (of the order of the atomic-planes spacing
in crystals) only in case of sub-atomic particles like electrons,
protons, etc (due to smallness of their masses and hence, momenta) |
9 | 2003-2006 | The de Broglie wavelength is
independent of the charge and nature of the material particle It is
significantly measurable (of the order of the atomic-planes spacing
in crystals) only in case of sub-atomic particles like electrons,
protons, etc (due to smallness of their masses and hence, momenta) However, it is indeed very small, quite beyond measurement, in case
of macroscopic objects, commonly encountered in everyday life |
9 | 2004-2007 | It is
significantly measurable (of the order of the atomic-planes spacing
in crystals) only in case of sub-atomic particles like electrons,
protons, etc (due to smallness of their masses and hence, momenta) However, it is indeed very small, quite beyond measurement, in case
of macroscopic objects, commonly encountered in everyday life Rationalised 2023-24
Physics
288
POINTS TO PONDER
1 |
9 | 2005-2008 | (due to smallness of their masses and hence, momenta) However, it is indeed very small, quite beyond measurement, in case
of macroscopic objects, commonly encountered in everyday life Rationalised 2023-24
Physics
288
POINTS TO PONDER
1 Free electrons in a metal are free in the sense that they move inside the
metal in a constant potential (This is only an approximation) |
9 | 2006-2009 | However, it is indeed very small, quite beyond measurement, in case
of macroscopic objects, commonly encountered in everyday life Rationalised 2023-24
Physics
288
POINTS TO PONDER
1 Free electrons in a metal are free in the sense that they move inside the
metal in a constant potential (This is only an approximation) They are
not free to move out of the metal |
9 | 2007-2010 | Rationalised 2023-24
Physics
288
POINTS TO PONDER
1 Free electrons in a metal are free in the sense that they move inside the
metal in a constant potential (This is only an approximation) They are
not free to move out of the metal They need additional energy to get
out of the metal |
9 | 2008-2011 | Free electrons in a metal are free in the sense that they move inside the
metal in a constant potential (This is only an approximation) They are
not free to move out of the metal They need additional energy to get
out of the metal 2 |
9 | 2009-2012 | They are
not free to move out of the metal They need additional energy to get
out of the metal 2 Free electrons in a metal do not all have the same energy |
9 | 2010-2013 | They need additional energy to get
out of the metal 2 Free electrons in a metal do not all have the same energy Like molecules
in a gas jar, the electrons have a certain energy distribution at a given
temperature |
9 | 2011-2014 | 2 Free electrons in a metal do not all have the same energy Like molecules
in a gas jar, the electrons have a certain energy distribution at a given
temperature This distribution is different from the usual Maxwell’s
distribution that you have learnt in the study of kinetic theory of gases |
9 | 2012-2015 | Free electrons in a metal do not all have the same energy Like molecules
in a gas jar, the electrons have a certain energy distribution at a given
temperature This distribution is different from the usual Maxwell’s
distribution that you have learnt in the study of kinetic theory of gases You will learn about it in later courses, but the difference has to do
with the fact that electrons obey Pauli’s exclusion principle |
9 | 2013-2016 | Like molecules
in a gas jar, the electrons have a certain energy distribution at a given
temperature This distribution is different from the usual Maxwell’s
distribution that you have learnt in the study of kinetic theory of gases You will learn about it in later courses, but the difference has to do
with the fact that electrons obey Pauli’s exclusion principle 3 |
9 | 2014-2017 | This distribution is different from the usual Maxwell’s
distribution that you have learnt in the study of kinetic theory of gases You will learn about it in later courses, but the difference has to do
with the fact that electrons obey Pauli’s exclusion principle 3 Because of the energy distribution of free electrons in a metal, the energy
required by an electron to come out of the metal is different for different
electrons |
9 | 2015-2018 | You will learn about it in later courses, but the difference has to do
with the fact that electrons obey Pauli’s exclusion principle 3 Because of the energy distribution of free electrons in a metal, the energy
required by an electron to come out of the metal is different for different
electrons Electrons with higher energy require less additional energy to
come out of the metal than those with lower energies |
9 | 2016-2019 | 3 Because of the energy distribution of free electrons in a metal, the energy
required by an electron to come out of the metal is different for different
electrons Electrons with higher energy require less additional energy to
come out of the metal than those with lower energies Work function is
the least energy required by an electron to come out of the metal |
9 | 2017-2020 | Because of the energy distribution of free electrons in a metal, the energy
required by an electron to come out of the metal is different for different
electrons Electrons with higher energy require less additional energy to
come out of the metal than those with lower energies Work function is
the least energy required by an electron to come out of the metal 4 |
9 | 2018-2021 | Electrons with higher energy require less additional energy to
come out of the metal than those with lower energies Work function is
the least energy required by an electron to come out of the metal 4 Observations on photoelectric effect imply that in the event of matter-
light interaction, absorption of energy takes place in discrete units of hn |
9 | 2019-2022 | Work function is
the least energy required by an electron to come out of the metal 4 Observations on photoelectric effect imply that in the event of matter-
light interaction, absorption of energy takes place in discrete units of hn This is not quite the same as saying that light consists of particles,
each of energy hn |
9 | 2020-2023 | 4 Observations on photoelectric effect imply that in the event of matter-
light interaction, absorption of energy takes place in discrete units of hn This is not quite the same as saying that light consists of particles,
each of energy hn 5 |
9 | 2021-2024 | Observations on photoelectric effect imply that in the event of matter-
light interaction, absorption of energy takes place in discrete units of hn This is not quite the same as saying that light consists of particles,
each of energy hn 5 Observations on the stopping potential (its independence of intensity
and dependence on frequency) are the crucial discriminator between
the wave-picture and photon-picture of photoelectric effect |
9 | 2022-2025 | This is not quite the same as saying that light consists of particles,
each of energy hn 5 Observations on the stopping potential (its independence of intensity
and dependence on frequency) are the crucial discriminator between
the wave-picture and photon-picture of photoelectric effect 6 |
9 | 2023-2026 | 5 Observations on the stopping potential (its independence of intensity
and dependence on frequency) are the crucial discriminator between
the wave-picture and photon-picture of photoelectric effect 6 The wavelength of a matter wave given by
λ =ph
has physical
significance; its phase velocity vp has no physical significance |
9 | 2024-2027 | Observations on the stopping potential (its independence of intensity
and dependence on frequency) are the crucial discriminator between
the wave-picture and photon-picture of photoelectric effect 6 The wavelength of a matter wave given by
λ =ph
has physical
significance; its phase velocity vp has no physical significance However,
the group velocity of the matter wave is physically meaningful and
equals the velocity of the particle |
9 | 2025-2028 | 6 The wavelength of a matter wave given by
λ =ph
has physical
significance; its phase velocity vp has no physical significance However,
the group velocity of the matter wave is physically meaningful and
equals the velocity of the particle Physical
Symbol
Dimensions
Unit
Remarks
Quantity
Planck’s
h
[ML2T –1]
J s
E = hn
constant
Stopping
V0
[ML2T –3A–1]
V
e V0= Kmax
potential
Work
f0
[ML2T –2]
J; eV
Kmax = E –f0
function
Threshold
n0
[T –1]
Hz
n0 = f0/h
frequency
de Broglie
l
[L]
m
= h/p
wavelength
EXERCISES
11 |
9 | 2026-2029 | The wavelength of a matter wave given by
λ =ph
has physical
significance; its phase velocity vp has no physical significance However,
the group velocity of the matter wave is physically meaningful and
equals the velocity of the particle Physical
Symbol
Dimensions
Unit
Remarks
Quantity
Planck’s
h
[ML2T –1]
J s
E = hn
constant
Stopping
V0
[ML2T –3A–1]
V
e V0= Kmax
potential
Work
f0
[ML2T –2]
J; eV
Kmax = E –f0
function
Threshold
n0
[T –1]
Hz
n0 = f0/h
frequency
de Broglie
l
[L]
m
= h/p
wavelength
EXERCISES
11 1
Find the
(a) maximum frequency, and
(b) minimum wavelength of X-rays produced by 30 kV electrons |
9 | 2027-2030 | However,
the group velocity of the matter wave is physically meaningful and
equals the velocity of the particle Physical
Symbol
Dimensions
Unit
Remarks
Quantity
Planck’s
h
[ML2T –1]
J s
E = hn
constant
Stopping
V0
[ML2T –3A–1]
V
e V0= Kmax
potential
Work
f0
[ML2T –2]
J; eV
Kmax = E –f0
function
Threshold
n0
[T –1]
Hz
n0 = f0/h
frequency
de Broglie
l
[L]
m
= h/p
wavelength
EXERCISES
11 1
Find the
(a) maximum frequency, and
(b) minimum wavelength of X-rays produced by 30 kV electrons Rationalised 2023-24
289
Dual Nature of Radiation
and Matter
11 |
9 | 2028-2031 | Physical
Symbol
Dimensions
Unit
Remarks
Quantity
Planck’s
h
[ML2T –1]
J s
E = hn
constant
Stopping
V0
[ML2T –3A–1]
V
e V0= Kmax
potential
Work
f0
[ML2T –2]
J; eV
Kmax = E –f0
function
Threshold
n0
[T –1]
Hz
n0 = f0/h
frequency
de Broglie
l
[L]
m
= h/p
wavelength
EXERCISES
11 1
Find the
(a) maximum frequency, and
(b) minimum wavelength of X-rays produced by 30 kV electrons Rationalised 2023-24
289
Dual Nature of Radiation
and Matter
11 2
The work function of caesium metal is 2 |
9 | 2029-2032 | 1
Find the
(a) maximum frequency, and
(b) minimum wavelength of X-rays produced by 30 kV electrons Rationalised 2023-24
289
Dual Nature of Radiation
and Matter
11 2
The work function of caesium metal is 2 14 eV |
9 | 2030-2033 | Rationalised 2023-24
289
Dual Nature of Radiation
and Matter
11 2
The work function of caesium metal is 2 14 eV When light of
frequency 6 ×1014Hz is incident on the metal surface, photoemission
of electrons occurs |
9 | 2031-2034 | 2
The work function of caesium metal is 2 14 eV When light of
frequency 6 ×1014Hz is incident on the metal surface, photoemission
of electrons occurs What is the
(a) maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) maximum speed of the emitted photoelectrons |
9 | 2032-2035 | 14 eV When light of
frequency 6 ×1014Hz is incident on the metal surface, photoemission
of electrons occurs What is the
(a) maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) maximum speed of the emitted photoelectrons 11 |
9 | 2033-2036 | When light of
frequency 6 ×1014Hz is incident on the metal surface, photoemission
of electrons occurs What is the
(a) maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) maximum speed of the emitted photoelectrons 11 3
The photoelectric cut-off voltage in a certain experiment is 1 |
9 | 2034-2037 | What is the
(a) maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) maximum speed of the emitted photoelectrons 11 3
The photoelectric cut-off voltage in a certain experiment is 1 5 V |
9 | 2035-2038 | 11 3
The photoelectric cut-off voltage in a certain experiment is 1 5 V What is the maximum kinetic energy of photoelectrons emitted |
9 | 2036-2039 | 3
The photoelectric cut-off voltage in a certain experiment is 1 5 V What is the maximum kinetic energy of photoelectrons emitted 11 |
9 | 2037-2040 | 5 V What is the maximum kinetic energy of photoelectrons emitted 11 4
Monochromatic light of wavelength 632 |
9 | 2038-2041 | What is the maximum kinetic energy of photoelectrons emitted 11 4
Monochromatic light of wavelength 632 8 nm is produced by a
helium-neon laser |
Subsets and Splits