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toppr \( E \)
Q Type your question.
0
\( A \)
\( \begin{array}{lll}A & B & Y \\ 0 & 0 & 1\end{array} \)
010
101
в. \( A B \cdot Y \)
\( 0 \quad 0 \quad 1 \)
0.11
101
c.
\( A B Y \)
00
011
101
110
D. \( A B Y \)
00.1
011 | 3 | Physics |
Triangle PAB is formed by three
tangents to circle 0 and \( \angle A P B=40^{\circ} \)
then angle AOB
A . \( 45^{\circ} \)
B. \( 50^{\circ} \)
\( c \cdot 60^{\circ} \)
D. 70 | 2 | Maths |
Area of a square 625 sq m Then the measure of its side is
A. \( 15 \mathrm{m} \)
B. 25
\( c \cdot 20 m \)
D. 24 | 2 | Maths |
A boat moves with a speed of \( 5 k m / h \) relative to water in a river flowing with a speed of \( 3 k m / h \) and a width of \( 1 k m \) The minimum time taken around a
round trio is
\( \mathbf{A} \cdot 5 \) minutes
B. 20 minutes
c. 30 minutes
D. 60 minutes | 3 | Physics |
Hydrogen halide with the highest boiling point is:
\( \mathbf{A} \cdot H F \)
в. \( H B r \)
c. \( H C l \)
D. \( H I \) | 1 | Chemistry |
In a right angled triangle, if one of the
other two angles is \( 35^{\circ} \), find the
remaining angle. | 2 | Maths |
Polysaccharide monomers are linked by
A. Peptide bonds
B. Glycosidic bonds
c. Hydrogen bonds
D. Phosphodiester bonds | 0 | Biology |
Controlled oxidation of methanol gives?
A. methanoic acid
B. methanal
c. carbon dioxide and water
D. methane | 1 | Chemistry |
A body starts from rest with uniform
acceleration. If its velocity after \( n \)
seconds is \( v \) then assuming straight line motion, its displacement in the last two seconds is:
A . \( v n \)
B. \( \frac{2 v(n-1)}{n} \)
c. \( \frac{2 v(n+1)}{n} \)
D. \( \frac{v}{n} \) | 3 | Physics |
The highest boiling point is for:
A. \( C_{2} H_{5} O H \)
в. \( C_{2} H_{5} C l \)
\( \mathbf{c} \cdot C_{2} H_{6} \)
D. \( C H_{3} O C C H_{3} \) | 1 | Chemistry |
Partial roasting of chalcopyrite
produces
A \( \cdot C u_{2} S \) and Feo
B. \( C u_{2} O \) and FeO
c. cus and \( F e_{2} O_{3} \)
D. \( C u_{2} O \) and \( F e_{2} O_{3} \) | 1 | Chemistry |
Calculate the electrostatic force of
attraction between a proton and an electron in a hydrogen atom. The radius of the electron orbit is \( 0.05 \mathrm{nm} \) and
charge on the electron is \( 1.6 \times 10^{-9} C \) | 3 | Physics |
The molecular mass of \( K_{2} C O_{3} \) is :
\( A \cdot 1284 \)
B. 112
\( c \cdot 116 u \)
D. 122 u
E. None of these | 1 | Chemistry |
Insert five numbers between 4 and 8 so
that the resulting sequence is an \( \boldsymbol{A} . \boldsymbol{P} \) | 2 | Maths |
\( \int\left(\frac{x^{6}-1}{x^{2}+1}\right) d x \) | 2 | Maths |
Which are the scientific names of
cockroaches?
A. Periplaneta americana and Blatta indica
B. Periplaneta orientalis and Blatta americana
C. Periplaneta americana and Blatta orientalis
D. Both A and B | 0 | Biology |
Match the following with correct
answers.
(a) Toucan bird I Modified teeth
(b) Siberian bird II Silver white
mane
(c) Macaque \( \quad \) II Long beak
(d) Macaque \( \quad \) IV Migrate to India during winter
A . a- -II, b- -I, c- II, d- -IV
B. a- III, b- -IV, c-1, d- -I
c. a-।, b- II, c- -II, d-IV
D. a- -V, b- |II, c- ||, d- | - | 0 | Biology |
Differentiate with respect to \( x \) :
\( \log \left\{\cot \left(\frac{\pi}{4}+\frac{x}{2}\right)\right\} \) | 2 | Maths |
Which of the following cannot be ferromagnetic?
This question has multiple correct options
A . alloys
B. solids
c. liquids
D. gases | 3 | Physics |
A solid compound 'X' on heating gives
\( C O_{2} \) gas and a residue. The residue
mixed with water forms 'Y'. On passing
an excess of \( C O_{2} \) through 'Y' in water, a clear solution 'Z' is obtained. On boiling
Z', compound 'X' is reformed. The compound 'X' is :
A \( \cdot C a\left(H C O_{3}\right)_{2} \)
в. \( C a C O_{3} \)
c. \( N a_{2} C O_{3} \)
D. \( K_{2} C O_{3} \) | 1 | Chemistry |
Which of the following possesses potential energy?
A. Moving vehicle on the road
B. A running athlete
c. Stone on the road
D. A stretched rubber band | 3 | Physics |
Express the following angles in radian
measure:
i) \( 520^{\circ} \)
ii) \( -310^{\circ} \)
iii) \( 630^{\circ} \)
iv) \( -22^{\circ} 30^{\prime} \) | 2 | Maths |
Bauxite is an oxide mineral of:
A. barium
B. boron
C. bismuth
D. aluminium | 1 | Chemistry |
The binding energy of an electron in the ground state of an atom is equal to \( 24.6 e V . \) Find the energy required to
remove both the electrons from the
atom.
\( \mathbf{A} \cdot 79 e V \)
B. 89 eV
\( \mathbf{c} \cdot 99 e V \)
\( \mathbf{D} \cdot 69 \mathrm{eV} \) | 1 | Chemistry |
Find the value of:
\( \left(\frac{1+i}{1-i}\right)^{40} \) | 2 | Maths |
Let \( A, B, C, D \) be (not necessarily square) real matrices such that \( \boldsymbol{A}^{\boldsymbol{T}}= \)
\( \boldsymbol{B} \boldsymbol{C} \boldsymbol{D} ; \boldsymbol{B}^{T}=\boldsymbol{C} \boldsymbol{D} \boldsymbol{A} ; \boldsymbol{C}^{T}=\boldsymbol{D} \boldsymbol{A} \boldsymbol{B} \) and
\( D^{T}=A B C \)
for the matrix \( S=A B C D \), consider the
two statements.
\( \boldsymbol{S}^{3}=\boldsymbol{S} \)
\( \| S^{2}=S^{4} \)
A. II is true but not
B. I is true but not I
c. Both I and II are true
D. Both I and II are false. | 2 | Maths |
Name 2 Fungi causing food poisoning? | 0 | Biology |
Solve the equation \( \frac{2}{2-x}+\frac{1}{2}- \) \( \frac{4}{x(2-x)}=0 \) | 2 | Maths |
Assertion
Parallax method is used for measuring
distances of nearby stars only.
Reason
With increase of distance of star,
parallactic angle becomes too small to be measured accurately.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 3 | Physics |
The major greenhouse gas is
A. сFC
в. \( C O_{2} \)
c. \( \mathrm{c} \)
D. NO | 0 | Biology |
The oxidation number of phosphorus in \( \boldsymbol{B} \boldsymbol{a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{2}\right)_{2} \) is:
\( A \cdot+3 \)
B. +2
\( c \cdot+1 \)
D. - | 1 | Chemistry |
A light ray passing through a thin prism suffers a deviation \( \delta \). Now the prism is
cut into two halves symmetrically in the vertical direction. The deviation for the
same ray will be
\( A \cdot \frac{\delta}{2} \)
B.
c. \( 2 \delta \)
D. | 3 | Physics |
The equation of an incident wave travelling along +X direction is given by \( \boldsymbol{y}=\boldsymbol{A} \sin (\boldsymbol{2} \boldsymbol{t}-\mathbf{5} \boldsymbol{x}) . \) This wave gets
reflected at a rigid boundary. The equation of the reflected wave is
A \( . y=\operatorname{Asin}(2 t-5 x) \)
B. \( y=\operatorname{Asin}(2 t-5 x+\pi) \)
c. \( y=\operatorname{Asin}(2 t+5 x+\pi) \)
D. \( y=\operatorname{Asin}(2 t-5 x+\pi / 2) \) | 3 | Physics |
For a series LCR circuit at resonance,
the statement which is not true is
A. Peak energy stored by a capacitor = peak energy stored by an inductor
B. Average power = apparent power
C. Wattless current is zero
D. Power factor is zero | 3 | Physics |
The surface area of a sphere is given by the formula
A \( \cdot 4 \pi r^{2} \)
в. \( 4 \pi r \)
\( \mathrm{c} \cdot 2 \pi r^{2} \)
D. \( \frac{1}{2} \pi r^{2} \) | 2 | Maths |
Enzymes increase the rate of reactions
by
A. Increasing the free energy of activation.
B. Decreasing the energy of activation.
C. Changing the equilibrium constant of the reaction.
D. Increasing the free energy change of the reaction. | 0 | Biology |
Rolling friction varies with velocity. This
statement is :
A . True
B. False | 3 | Physics |
Two positive point charges of unequal magnitude are placed at a certain distance apart. A samll positive test charge is placed at null point, then:
A. Charge is in equilibrium.
B. A test charge is in stable equilibrium
c. The test charge is in neutral equilibrium
D. The test charge is in unstable equilibrium | 3 | Physics |
In the galvanic cell :
\( Z n / Z n^{2+}\left(C_{1}\right) \| C u^{2+}\left(C_{2}\right) / C u \)
\( \boldsymbol{E}_{c e l l}-\boldsymbol{E}_{c e l l}^{o}=+\mathbf{0 . 0 5 9 1} \boldsymbol{V} . \) The value of
\( \frac{C_{1}}{C_{2}} \) at \( 298 K \) is:
A \( \cdot 10^{-1} \)
B. \( 10^{2} \)
\( c \cdot 10^{-2} \)
D. 10 | 1 | Chemistry |
A small circular loop of conducting wire
has radius \( a \) and carries current \( I \). It is
placed in a uniform magnetic field \( \boldsymbol{B} \) perpendicular to its plane such that
when rotated slightly about its
diameter and replaced, it starts performing simple harmonic motion of time period \( T . \) If the mass of the loop is
\( m \) then:
\( ^{\mathbf{A}} \cdot_{T}=\sqrt{\frac{2 m}{I B}} \)
в. \( T=\sqrt{\frac{\pi m}{I B}} \)
\( ^{\mathrm{c}} \cdot T=\sqrt{\frac{2 \pi m}{I B}} \)
D \( \cdot T=\sqrt{\frac{\pi m}{2 I B}} \) | 3 | Physics |
Given \( \frac{\pi}{2}<\alpha<\pi, \) then the expression \( \sqrt{\frac{1-\sin \alpha}{1+\sin \alpha}}+\sqrt{\frac{1+\sin \alpha}{1-\sin \alpha}}= \)
A \( \frac{1}{\cos \alpha} \)
B. \( -\frac{2}{\cos \alpha} \)
c. \( \frac{2}{\cos \alpha} \)
D. None of these | 2 | Maths |
The term phylum in taxonomy was given by
A. John Roy
B. G. L. Cuvier
c. c. L. Linnaeus
D. Lamark | 0 | Biology |
Find \( \int \frac{x^{4}+1}{x\left(x^{2}+1\right)^{2}} \) | 2 | Maths |
In air, a charged soap bubble of radius 'r' is in equilibrium having outside and inside pressures being equal. The charge on the bubble is
\( (\epsilon= \) permittivity of free space Tesurface tension of soap solution)
A \( \cdot 4 \pi r^{2} \sqrt{\frac{2 T \epsilon_{0}}{r}} \)
В. \( 4 \pi r^{2} \sqrt{\frac{4 T \epsilon_{0}}{r}} \)
c. \( _{4 \pi r^{2}} \sqrt{\frac{6 T \epsilon_{0}}{r}} \)
D. \( 4 \pi r^{2} \sqrt{\frac{8 T \epsilon_{0}}{r}} \) | 3 | Physics |
A rectangular copper coil is placed in uniform magnetic field of induction
\( 40 m T \) with its plane perpendicular to
the field. The area of the coil is
shrinking at a constant rate of \( 0.5 m^{2} s^{-1} \). The emf induced in the coil is
A . \( 10 \mathrm{mV} \)
в. \( 20 \mathrm{mV} \)
c. \( 80 m V \)
D. \( 40 \mathrm{mV} \) | 3 | Physics |
A mixture of sand and sulphur is
seprated by
A. Fractional crystallization from aqueous medium
B. Dissolving in \( C S_{2} \) and filtering.
c. Sublimation
D. Fractional distillation | 1 | Chemistry |
An isolated parallel plate capacitor is charged upto a certain potential difference. When a \( 3 m m \) thick slab is
introduced between the plates then in order to maintain the same potential difference, the distance between the
plates is increased by \( 2.4 m m \). Find the dielectric constant of the slab. (Assume
charge remains constant)
A. 5
в. 10
\( c \cdot 2.5 \)
D. 7.5 | 3 | Physics |
An experiment can result in only 3 mutually exclusive events \( A, B \) and \( C \)
If \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{2} \boldsymbol{P}(\boldsymbol{B})=\mathbf{3} \boldsymbol{P}(\boldsymbol{C}), \) then
\( \boldsymbol{P}(\boldsymbol{A})= \)
\( A \cdot \frac{6}{11} \)
B. \( \frac{5}{11} \)
\( c \cdot \frac{9}{11} \)
D. None | 2 | Maths |
Foreman ovale
A. Connects the two atria in the foetal heart.
B. Is a condition in which the heart valves do not
completely close.
C. Is a shallow depression in the inter ventricular septum.
D. Is a connection between the pulmonary trunk and the aorta in the foetus. | 0 | Biology |
Which of the following statements
is/are not correct?
This question has multiple correct options
A. The covalency of \( \mathrm{N} \) in \( \mathrm{HNO}_{3} \) is +5
B. \( H N O_{3} \) in the gaseous state has a trigonal planar structure
C. The oxidation state of \( \mathrm{N} \) in \( \mathrm{H} \mathrm{NO}_{3} \) is +4
D. Gold dissolves in \( H N O_{3} \) to form gold nitrate | 1 | Chemistry |
Find the min. value of \( \frac{\boldsymbol{a}^{2}}{\cos ^{2} \boldsymbol{x}}+\frac{\boldsymbol{b}^{2}}{\sin ^{2} \boldsymbol{x}} \)
A. \( (a+b)^{2} \)
2) \( a+b+b^{-2} b+b^{-2} \)
B . \( (a-b)^{2} \)
\( \mathbf{c} \cdot a^{2}+b^{2} \)
D. \( a^{2}-b^{2} \) | 2 | Maths |
In electrolysis of \( A l_{2} O_{3} \) by Hall-
Heroult process,
A. cryolite \( N a_{3}\left[A l F_{6}\right] \) lowers the \( m . p . \) of \( A l_{2} O_{3} \) and increases its electrical conductivity
B. Al is obtained at cathode and probably \( C O_{2} \) at anode
c. Both (a) and
(b) are correct
D. None of the above | 1 | Chemistry |
An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
A \( \cdot \frac{25 m}{24 h R} \)
B . \( \frac{24 m}{24 h R} \)
\( \mathrm{c} \cdot \frac{24 h R}{25 m} \)
D. \( \frac{25 m}{14 h R} \) | 3 | Physics |
A bus travelling the first one third distance at a speed of \( 10 k m / h \), the next one third at20km/ \( h \) and the last
one third at \( 60 k m / h . \) The average speed of the bus is
\( \mathbf{A} \cdot 9 k m / h \)
в. \( 16 k m / h \)
c. \( 18 k m / h \)
D. \( 48 k m / h \) | 3 | Physics |
A saturated solution of iodine in water
contains \( 0.33 \mathrm{g} \) iodine/L. More than this can dissolve in a \( K I \) solution because
of the following equilibrium: \( \boldsymbol{I}_{2}(\boldsymbol{a} \boldsymbol{q})+ \) \( \boldsymbol{I}^{-} \rightarrow \boldsymbol{I}_{3}-(\boldsymbol{a} \boldsymbol{q}) \cdot \mathbf{A} \mathbf{0} \cdot \mathbf{1} \boldsymbol{M} \boldsymbol{K} \boldsymbol{I} \) solution
\( \left(0.1 M I^{-}\right) \) actually dissolves 12.5 g of lodine/L, most of which is converted to
\( I_{3}^{-} . \) Assuming that the concentration of
\( I_{2} \) in all saturated solutions is the
same, calculate the equilibrium constant for the above reaction: (Mol. wt
of \( I=258 g m o l^{-1} \)
A. 709.3
B . 465.6
c. 287.4
D. 687.4 | 1 | Chemistry |
Continuous spectrum is produced by
This question has multiple correct options
A. Incandescent electric bulb
B. Sun
C . Hydrogen molecules
D. Sodium vapor lamp | 3 | Physics |
The mole fraction of water in \( 20 \% \) (wt. \( / \)
wt.) aqueous solution of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is:
A \( \cdot \frac{77}{68} \)
в. \( \frac{68}{77} \)
c. \( \frac{20}{80} \)
D. \( \frac{80}{20} \) | 1 | Chemistry |
The phase difference between the velocity and displacement of a particle executing SHM is
A \( \cdot \pi / 2 \) radian
B. \( \pi \) radian
\( c \cdot 2 \pi \) radian
D. zero | 3 | Physics |
State whether the resistivity of a wire changes with the change in the thickness of the wire. | 3 | Physics |
The resultant of two forces \( P \) and \( Q \)
acting at an angle a is equal to \( (2 m+1) \sqrt{P^{2}+Q^{2}} . \) When the forces
act at an angle \( (90-\alpha), \) the resultant
is \( (2 m-1) \sqrt{P^{2}+Q^{2}} . \) Then value of
tan\alpha is: | 2 | Maths |
Which of the following compounds is optically active?
A. \( C H_{2} C H_{2} C O O H \)
в. НООС\( - \)СН\( _{2}- \)СООН
с. \( C H_{3} C H(O H) \)СООН
D. \( C l_{2} \) СНСООН | 1 | Chemistry |
For a reaction \( \boldsymbol{P}+\boldsymbol{Q} \rightarrow \mathbf{2} \boldsymbol{R}+\boldsymbol{S} . \) Which
of the following statements is incorrect?
A. Rate of disappearance of \( P= \) Rate of appearance of
B. Rate of disappearance of \( P=2 \times \) Rate of appearance of \( R \)
c. Rate of disappearance of \( P= \) Rate of disappearance of \( Q \)
D. Rate of disappearance of \( Q=\frac{1}{2} \times \) Rate of appearance
of \( R \) | 1 | Chemistry |
In which of the following mixtures, the London dispersion force acts as a major intermolecular force of attraction?
A. Sodium chloride and water
B. Cyclohexane and carbon tetrachloride
c. water and ethyl alcohol
D. Benzene and acetone | 1 | Chemistry |
Explain why:
Acetaldehyde undergoes aldol condensation, but formaldehyde does
not | 1 | Chemistry |
\( \int \sin \theta \cos \theta d \theta \) | 2 | Maths |
Consider the following reactions Meso-butan- \( 2,3- \) diol is formed
in:
A \( \cdot(I),(I I),(V) \)
B. \( (I I I),(I V),(V I) \)
c. \( (I),(I I),(I V) \)
D. \( (I I I),(I V),(V) \) | 1 | Chemistry |
The mass of a box measured by a
grocer's balance is 2.3 kg.two gold pieces of masses \( 20.15 g \) and \( 20.17 g \)
are added to the box. The total mass of
the box is:
A . \( 2.30 \mathrm{kg} \)
в. \( 2.340 \mathrm{kg} \)
c. \( 2.34 \mathrm{kg} \)
D. \( 2.3 \mathrm{kg} \) | 3 | Physics |
Find the value of \( \boldsymbol{x} \)
If \( , \tan ^{-1}(x-1)+\tan ^{-1} x+\tan ^{-1}(x+ \)
1) \( =\tan ^{-1} 3 x \) | 2 | Maths |
Glycolate accumulates in chloroplast at
A. Low temparature
в. \( \operatorname{Low} C O_{2} \)
c. Visible light illumination
D. High \( C O_{2} \) | 0 | Biology |
When a proton is released vest in a room. it starts with an initial
acceleration \( a_{0} \) towards west. When it
is projected towards north with a speed
\( v_{0} \) it moves with an initial acceleration
\( 3 a_{0} \) toward west. The electric and
magnetic fields in the room are
\( \mathbf{A} \cdot \frac{m a_{0}}{e} \) east \( , \frac{3 m a_{0}}{e v_{0}} u p \)
B. \( \frac{m a_{0}}{e} \) east, \( \frac{3 m a_{0}}{e_{e 0}} \) down
\( \mathbf{C} \cdot \frac{m a_{0}}{e} \) west \( , \frac{2 m a_{0}}{e v_{0}} u p \)
D. \( \frac{m a_{0}}{e} \) west \( , \frac{2 m a_{0}}{e_{e v}} d o w n \) | 3 | Physics |
Identify the parts as \( A, B, C, D \) in the
given diagram
A . A- Oviduct, B- Uterus, C- Oviduct, D- Ovary
B. A- Cervix, B- Uterus, C- - Ovary, D- Tumor
C. A- Uterus, B- Uterine cavity, C- Oviducal funnel, D Ovary
D. A- Cervix, B- Uterine cavity, C- Fallopian tube, D- Ovary | 0 | Biology |
Correct order of radius of the 1 st orbit of \( \boldsymbol{H}, \boldsymbol{H} \boldsymbol{e}^{+}, \boldsymbol{L} \boldsymbol{i}^{2+} \) and \( \boldsymbol{B} \boldsymbol{e}^{\boldsymbol{3}+} \) is:
A \( \cdot H>H e^{+}>L i^{2+}>B e^{3} \)
в. \( B e^{3+}>L i^{2+}>H e^{+}>H \)
\( \mathbf{c} \cdot H e^{+}>B e^{3+}>L i^{2+}>H \)
D. \( H e^{+}>H>L i^{2+}>B e^{3} \) | 1 | Chemistry |
A stone of mass \( 10 \mathrm{kg} \) is lying at the bed of a lake 5 m deep. If the relative density
of the stone is \( 2, \) the amount of work
done to bring it to the top of the lake will
be
\( \mathbf{A} \cdot 250 J \)
B. \( 258 J \)
c. \( 345 J \)
D. \( 385 J \) | 3 | Physics |
Find the equation of the normal to the curve \( x^{2}=4 y \) which passes through
the point (1,2) | 2 | Maths |
What is silver mirror test? Explain with
reaction. | 1 | Chemistry |
Identify the gate used in the following
diagram.
\( A \cdot A N D \)
B. OR
c. NAND
NOR | 3 | Physics |
A small sphere of mass \( m \) and electric
charge \( \boldsymbol{q}, \) is suspended by a light thread. A second sphere carrying a
charge \( q_{2} \) is placed directly below the
first sphere at a distance \( ^{\prime} d^{\prime} \) away. Then
A. tension in thread may reduce to zero if the spheres are positively charged
B. tension in thread may reduce to zero if the spheres are oppositely charged
c. tension in thread can never be zero
D. tension in thread is independent of the nature of the charges | 3 | Physics |
If a star converts all of its Helium into
Oxygen nucleus, find the amount of
energy released per nucleus of Oxygen. \( (H e=4.0026 a m u \)
\( \boldsymbol{O}=\mathbf{1 5 . 9 9 9 4} \boldsymbol{a m u} \)
A. \( 7.26 \mathrm{MeV} \)
B. 7 MeV
c. 10.24 MeV
D. \( 5.12 \mathrm{MeV} \) | 3 | Physics |
two blocks of masses \( m_{1}=2 k g \) and
\( \boldsymbol{m}_{2}=4 k g \) are moving in the same
direction with speeds \( \nu_{1}=6 m / s \) and
\( \nu_{2}=3 m / s, \) respectively on a
frictioneless surface as shown in the
figure. An ideal spring with spring
constant \( k=30000 N / m \) is attached
to the back side of \( m_{2} \). Then the
maximum compression of the spring
after collision will be:
\( \mathbf{A} \cdot 0.06 m \)
B. \( 0.04 m \)
c. \( 0.02 m \)
D. none of these | 3 | Physics |
A particle of charge q is moving with
velocity v in the presence of crossed
electric field E and magnetic field B as shown. Write the condition under which
the particle will continue moving along x-axis. How would the trajectory of the
particle be affected if the electric field is suddenly switched off? | 3 | Physics |
Two particles of equal mass have initial velocities \( 2 \hat{i} m s^{-1} \) and \( 2 \hat{j} m s^{-1} . \) First
particle has a constant acceleration \( (\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}) \boldsymbol{m} \boldsymbol{s}^{-1} \) while the acceleration of
the second particle is always zero. The centre of mass of the two particles moves in:
A . Circle
B. Parabola
c. Ellipse
D. Straight line | 3 | Physics |
Naked seeds of gymnosperms meant for absence of which of the following?
A. Seed coat
B. Integument
c. Embry
D. None of the above | 0 | Biology |
sweetener \( A, B, C \) and \( D . \) To identify
these samples, he performed certain experiments and noted the following observations.
(i) \( A \) and \( D \) both form a blue-violet
colour with ninhydrin.
(ii) Lassaigne extract of \( \mathrm{C} \) gives positive
\( A g N O_{3} \) test and negative
\( \boldsymbol{F} \boldsymbol{e}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right]_{3} \) test.
(iii) Lassaigne extract of \( \mathrm{B} \) and \( \mathrm{D} \) gives positive sodium nitroprusside test.
Based on these observations which
option is correct?
A. A: Alitame; B: Saccharin;
C: Aspartame; D: Sucralose
B. A: Aspartame; B: Saccharine;
C: Sucralose; D: Alitame
C. A: Aspartame; B: Alitame;
c: Saccharin; D: Sucralose
D. A: Saccharin; B: Alitame;
C: Sucralose; D: Aspartame | 1 | Chemistry |
The mean value of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{2}{e^{x}+1} \) on the interval [0,2] is
\( ^{A} \cdot_{2-\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
B. \( _{2+\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
\( ^{\mathrm{c}} 2+\log _{e}\left(\frac{2}{e^{2}-1}\right) \)
D. \( _{-2+\log _{e}}\left(\frac{2}{e^{2}-1}\right) \) | 2 | Maths |
If \( \frac{\boldsymbol{a}-\boldsymbol{x}}{\boldsymbol{p} \boldsymbol{x}}=\frac{\boldsymbol{a}-\boldsymbol{y}}{\boldsymbol{q} \boldsymbol{y}}=\frac{\boldsymbol{a}-\boldsymbol{z}}{\boldsymbol{r} \boldsymbol{z}} \) and \( \boldsymbol{p}, \boldsymbol{q}, \boldsymbol{r} \)
be in A.P. then \( x, y, z \) are in?
A. A.P
в. G.P.
c. н.P
D. A.G.P. | 2 | Maths |
Animal charcoal is used in decolorising colour of liquids because it is a good:
A. adsorbate
B. adsorbent.
c. oxidising agent.
D. reducing agent. | 1 | Chemistry |
Assertion
The -As=As- linkage present in arsphenamine (a sulpha drugs) resemles the -N=N-linkage present is
azo dyes.
Reason
The first antibacterial agent, prontosil resembles in structure to the
compound salvarsan.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 1 | Chemistry |
State the rule to determine the
direction of a Magnetic field produced around a straight conductor carrying
current | 3 | Physics |
Addition of \( H C l \) will not suppress the ionization of:
A . acetic acid
B. benzoic acid
\( \mathrm{c} \cdot \mathrm{H}_{2} \)
D. sulphuric acid | 1 | Chemistry |
The graph is shown in the figure is a
plot of the temperature of the body in
\( ^{o} C \) and \( ^{o} F . \) The value of \( \sin \theta \) is
4
\( \overline{\mathrm{q}} \)
B. \( \frac{5}{\sqrt{86}} \)
c. \( \frac{9}{\sqrt{86}} \)
D. \( \frac{5}{\sqrt{106}} \) | 3 | Physics |
Which of the following statements
support the fact that sound requires a
material medium to pass through?
A. We do not hear the sound of explosions occurring in Sun
B. Rings of an electric bell put within a vacuumized jar can not be heard
C. If we put one ear on an iron rod and hit on it, we hear two sounds simultanneously
D. All of these | 3 | Physics |
If \( \sin ^{-1} x+4 \cos ^{-1} x=\pi, \) then \( x= \)
A. \( 1 / 2 \)
в. \( \frac{1}{\sqrt{2}} \)
c. \( \frac{\sqrt{3}}{2} \)
D. | 2 | Maths |
Find the mean deviation about the
median for the data
\( \mathbf{3 6}, \mathbf{7 2}, \mathbf{4 6}, \mathbf{4 2}, \mathbf{6 0}, \mathbf{4 5}, \mathbf{5 3}, \mathbf{4 6}, \mathbf{5 1}, \mathbf{4 9} \) | 2 | Maths |
The sum of two integers is \( -35 . \) If one of them is \( 40, \) then the other is.
A . 5
B. -75
c. 75
D. -5 | 2 | Maths |
How many mole of \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \) will be required to prepare one litre buffer solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{1 0 . 4} \) using \( \mathbf{0 . 0 1} \) mol
NaC N?
(Given: \( \left.\boldsymbol{K}_{\boldsymbol{a}}(\boldsymbol{H} \boldsymbol{C N})=\boldsymbol{4} \times \mathbf{1 0}^{-10}\right) \)
\( \mathbf{A} \cdot 2 \times 10^{-2} \mathbf{M} \)
В. \( 9 \times 10^{-4} \) М
\( \mathbf{c} \cdot 4 \times 10^{-4} \mathrm{M} \)
D. \( 9 \times 10^{-3} \mathrm{M} \) | 1 | Chemistry |
The energy released per fission of Uranium is \( 200 \mathrm{MeV} \). Determine the
number of fission per second required to generate 2MW power.
\( \mathbf{A} \cdot 6.25 \times 10^{16} \)
B. \( 0.25 \times 10^{16} \)
C. \( 1.25 \times 10^{16} \)
D \( .25 \times 10^{16} \) | 3 | Physics |
Twp angles form a linear pair. If one of these is one-fourth of the other, find the positive difference between the two
angles.( in degrees ) | 2 | Maths |
The legume fruit develops from
A. Inferior ovary
B. Monocarpellary
C. Bicarpellary ovary
D. Multicarpellary ovary | 0 | Biology |
Can a current carrying straight electric wires attract the nearby iron objects
towards them? | 3 | Physics |
From the following data estimate the order for decomposition of an aqueous solution of hydrogen peroxide:
Time \( \quad \) o \( \quad \mathbf{1 0} \quad \mathbf{2 0} \)
(minutes)
\[
V(m l)
\]
\( \begin{array}{lll}46.1 & 29.8 & 19.6\end{array} \)
where \( V \) is the volume of potassium
permanganate solution in \( m L \) required to decompose a definite volume of the
peroxide solution.
A .
B. 1
\( c \cdot 2 \)
D. \( 1 / 2 \) | 1 | Chemistry |
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