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An object is placed at a distance of 1.5 \( \mathrm{m} \) from a screen and a convex lens is interposed between them. The
magnification produced is 4. The focal length of the lens is then
\( A \cdot 1 m \)
B. 0.5 \( m \)
c. \( 0.24 \mathrm{m} \)
D. \( 2 \mathrm{m} \) | 3 | Physics |
When the free ends of a tester are
dipped into a solution, the magnetic needle shows deflection due to:
A . electrical effect
B. mechanical effect
c. magnetic effect
D. lighting effect | 1 | Chemistry |
Which one of the following is called maidenhair fern?
A. Dryopteris
B. Pteris
c. Adiantum
D. Lycopodium
E. Selaginella | 0 | Biology |
The metal whose hydroxide does not decompose on heating but its nitrate decomposes is:
A. \( C a \)
в. \( A l \)
c. \( N a \)
D. \( F e \) | 1 | Chemistry |
If the lines \( 3 x-4 y+4=0 \) and \( 6 x- \)
\( 8 y-7=0 \) are tangents to a circle,
then find the radius of the circle.
\( A \cdot 3 / 4 \)
в. \( 4 / 3 \)
\( c \cdot 1 / 4 \)
D. \( 7 / 4 \) | 2 | Maths |
Evaluate:
\( \lim _{x \rightarrow \infty}\left(\frac{2 x-3}{\sqrt{x^{2}-1}}\right) \) | 2 | Maths |
What is the maximum number of
emission lines when the excited
electron of a \( \boldsymbol{H}-\boldsymbol{a} \boldsymbol{t o m} \) in \( \boldsymbol{n}=\boldsymbol{6} \) drops
to the ground state? | 1 | Chemistry |
U is the PE of an oscillating particle and Fis the force acting on it at a given instant. Which of the following is true?
A \( \cdot \frac{U}{F}+x=0 \)
B. \( \frac{2 U}{F}+x=0 \)
c. \( \frac{F}{U}+x=0 \)
D. \( \frac{F}{2 U}+x=0 \) | 3 | Physics |
The radius of the sphere is \( 1.41 \mathrm{cm} . \) The volume of sphere to an appropriate number of significant figures will be:
A \( \cdot 11.7 c m^{3} \)
B. \( 11.74 \mathrm{cm}^{3} \)
\( \mathbf{c} \cdot 12 c m^{3} \)
D. \( 11.736 \mathrm{cm}^{3} \) | 3 | Physics |
In the sulphar estimation, 0.157 g of an organic compound gave 0.4813 g of barium sulphate. What is the percentage of Sulphur in the compound?
A . \( 42.10 \% \)
B. 36.45\%
c. \( 51.95 \% \)
D. \( 48.33 \% \) | 1 | Chemistry |
Male part of a flower is called
A. Stamen
B. stigma
\( c . \) Egg
D. Pollen tube | 0 | Biology |
The work function for a certain metal is
4.2 eV. Will this metal give photoelectric emission for incident radiation of
wavelength 330 nm? | 1 | Chemistry |
If distance between the directrices be
thrice the distance between the foci
then eccentricity of ellipse is
A \( \cdot \frac{1}{2} \)
B. \( \frac{2}{3} \)
c. \( \frac{1}{\sqrt{3}} \)
D. \( \frac{4}{5} \) | 2 | Maths |
The magnitude of the force (in Newton)
acting on a body varies with time \( t \) (in
microseconds) as shown in the figure. \( A B, B C \) and \( C D \) are straight line
segments. The magnitude of the total
impulse of the force in the body from
\( \boldsymbol{t}=\mathbf{4} \boldsymbol{\mu} \boldsymbol{s} \) to \( \boldsymbol{t}=\mathbf{1 6} \boldsymbol{\mu} \boldsymbol{s} \) is
Ns.
\( \mathbf{A} \cdot 1.005 \)
B. 0.005
c. 2.005
D. 4.005 | 3 | Physics |
Define coelom. Explain the two types of coelom formation in animals. | 0 | Biology |
A particle is constrained to move along
a straight line. The graph in the
adjoining figure shows the distance \( s \)
moved by the particle in time \( t \)
measured from the starting time. The
shape of the curve indicates that
A. Acceleration of the particle is increasing at \( X \)
B. The speed of the particle is maximum at the point \( Z \)
C. The speed of the particle \( X \) is greater than that \( Z \)
D. The particle is at rest at the point \( Y \) | 3 | Physics |
Explain Haber's process and
manufacture of ammonium | 1 | Chemistry |
If a molecule \( M X_{3} \) has zero dipole
moment, the \( \sigma \) - bonding orbitals used by M (atomic number \( <21 \) ) is:
A . pure \( p \)
B. \( s p \) - hybridized
c. \( s p^{2} \) - hybridized
D. \( s p^{3} \) - hybridized | 1 | Chemistry |
\( \mathbf{F}_{2} \) is a stronger oxidizing agent than
\( \mathrm{Cl}_{2} \) in aqueous solution. This is
attributed to many factors except:
A. heat of dissociation
B. electron affinity
c. ionisation potential
D. heat of hydration | 1 | Chemistry |
Find the mode of the following
frequency table:
\( \begin{array}{ll}\text { Class Interval } & \text { Frequency } \\ 140-150 & 4 \\ 150-160 & 6 \\ 160-170 & 10 \\ 170-180 & 12 \\ 180-190 & 9 \\ 190-200 & 3\end{array} \) | 2 | Maths |
Combustion of a fuel produces heat
because:
A. of breaking of bonds of hydrocarbons
B. of formation of bonds of byproducts \( \left(C O_{2}, H_{2} O\right) \)
C. of formation of bonds of hydrocarbons.
D. of nuclear fission in hydrocarbons. | 3 | Physics |
To get output 1 for the following circuit, the correct choice for the input is.
A . \( A=0, B=1, C=0 \)
B. \( A=1, B=0, C=0 \)
C. \( A=1, B=1, C=0 \)
D. \( A=1, B=0, C=1 \) | 3 | Physics |
Two lines intersecting each other, prove that vertically opposite angles are equal. | 2 | Maths |
The energy released due to loss in mass
during the process of nuclear fission and fusion is called:
A. hydro energy
B. electrical energy
c. nuclear energy
D. geothermal energy | 3 | Physics |
Two electric lamps \( A \) and \( B \) radiate the
same power. Their filaments have the
same dimensions, and have
emissivities \( e_{A} \) and \( e_{B} . \) Their surface
temperatures are \( \boldsymbol{T}_{\boldsymbol{A}} \) and \( \boldsymbol{T}_{\boldsymbol{B}} \). The ratio \( \frac{\boldsymbol{T}_{\boldsymbol{A}}}{\boldsymbol{T}_{\boldsymbol{B}}} \) will be equal to
\( ^{\mathbf{A}} \cdot\left(\frac{e_{B}}{e_{A}}\right)^{1 / 4} \)
\( ^{\mathrm{B}} \cdot\left(\frac{e_{B}}{e_{A}}\right)^{1 / 2} \)
\( ^{\mathbf{c}}\left(\frac{e_{A}}{e_{B}}\right)^{1 / 2} \)
\( ^{\mathrm{D}} \cdot\left(\frac{e_{A}}{e_{B}}\right)^{1 / 4} \) | 3 | Physics |
A conducting circular loop made of a thin wire, has area \( 3.5 \times 10^{-3} m^{2} \) and
resistance \( 10 \Omega \). It is placed perpendicular to a time dependent magnetic field \( B(t)=(0.4 T) \sin (50 \pi t) \)
The field is uniform in space. Then the net charge flowing through the loop during \( t=0 s \) and \( t=10 m s \) is close to:
A. \( 0.14 m C \)
В. \( 0.21 \mathrm{mC} \)
\( c \cdot 6 m C \)
D. \( 7 m C \) | 3 | Physics |
Let \( A \) be the set of all \( 3 \times 3 \) skew
symmetric matrices whose entries are
either \( -1,0, \) or \( 1 . \) If there are exactly
three 0 s, three 1 s, and three (-1) s, then the number of such matrices is | 2 | Maths |
Duct of Bellini is connected with
A . Collecting duct
в. DcT
c. Ureter
D. Papilla | 0 | Biology |
Assertion
The solubility of salts of weak acids like phosphates decreases at lower pH.
Reason
This is because at lower \( \mathrm{pH} \), the
concentration of cations increases.
A. If both the assertion and reason are true and reason is the correct explanation of assertion.
B. If both the assertion and reason are true but reason is not the correct explanation of assertion
c. If assertion is true but reason is false.
D. If both assertion and reason are false | 1 | Chemistry |
Divide
\( 4 \sqrt{2} y^{3} \) by \( 3 \sqrt{2} y^{2} \) The answer is \( \frac{m y}{3} \)
Then \( m= \) | 2 | Maths |
Carbon-carbon bond length in ethene is
to that in \( \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H O C H}_{3} \)
A. shorter
B. longer
c. equal
D. none of the above | 1 | Chemistry |
The height of water in a capillary tube of
radius \( 2 c m \) is \( 4 c m . \) What should be the
radius of capillary, if the water rises to \( 8 c m \) in tube?
A \( .1 \mathrm{cm} \)
в. \( 0.1 \mathrm{cm} \)
\( c .2 c m \)
D. \( 4 c m \) | 3 | Physics |
Solve:
\( \int 3^{3^{x^{x}}} 3^{3^{x}} 3^{x} d x= \) | 2 | Maths |
The gas estimated in Duma's method is nitrogen.
A . True
B. False | 1 | Chemistry |
\( 10 \mathrm{mL} \) of gaseous organic compound
containing \( C, H \) and \( O \) only was mixed
with \( 100 \mathrm{mL} \) of \( \mathrm{O}_{2} \) and exploded under
identical conditions and then cooled.
The volume left after cooling was \( 90 \mathrm{mL} \)
On treatment with \( K O H, \) a contraction
of \( 20 \mathrm{mL} \) was observed. If vapour density of the compound is \( 23, \) derive molecular formula of the compound.
This question has multiple correct options
A \( \cdot C_{2} H_{6} O \)
B \( . C_{2} H_{6} O H \)
\( \mathbf{c} \cdot C_{2} H_{5} O \)
\( \mathbf{D} \cdot C_{2} H_{5} O H \) | 1 | Chemistry |
\( \operatorname{Let} \vec{a}=\vec{i}+2 \vec{j}+\vec{k}, \vec{b}=\vec{i}-\vec{j}+\vec{k} \) and
\( \vec{c}=\vec{i}+\vec{j}-\vec{k} . A \) vector in the plane of \( \vec{a} \)
and \( \vec{b} \) has projection \( \frac{1}{\sqrt{3}} \) on \( \vec{c} \). Then, one
such vector is
A \( \cdot 4 \vec{i}+\vec{j}-4 \vec{k} \)
B. \( 3 \vec{i}+\vec{j}-3 \vec{k} \)
c. \( 4 \vec{i}-\vec{j}+4 \vec{k} \)
D. \( 2 \vec{i}+\vec{j}-2 \vec{k} \) | 2 | Maths |
Rutherford's atomic model does not
obey:
A. faraday's law of electrodynamics
B. maxwell theory of electrodynamics
c. newton's law
D. none of these | 1 | Chemistry |
S.I unit of Heat Capacity is | 3 | Physics |
All reactions involving chemical decomposition:
A. are reversible
B. are reversible and endothermic
c. are exothermic
D. may be reversible or irreversible and endothermic or exothermic. | 1 | Chemistry |
In the field of electromagnetism, the term 'EMI' stands for:
A. Electromotive Impact
B. Electromagnetic Induction
c. Electromotive inertia
D. none of these | 3 | Physics |
The food is kept at low temperatures in a
refrigerator because it:
A. saves money
B. makes food more tastier
C. kills bacteria present in the food
D. is fashionable to keep the food in the refrigerator | 1 | Chemistry |
Why is plastic a poor conductor?
A. They are non-reactive
B. They can melt
C. They have high number of free electrons
D. They do not have free electrons | 1 | Chemistry |
Given that \( \boldsymbol{E}=\left(\left(\mathbf{3} \boldsymbol{x}^{2}+\boldsymbol{y}\right) \hat{\boldsymbol{i}}+\right. \)
\( \boldsymbol{x} \hat{\boldsymbol{y}}) \boldsymbol{k} \boldsymbol{V} / \boldsymbol{m}, \) find the work done in
moving a \( -2 \mu C \) charge from (0,5,0) to (2,-1,0) by taking the path:
\( \boldsymbol{y}=\mathbf{5}-\mathbf{3} \boldsymbol{x} \)
A . \( 12 J \)
в. \( 12 m J \)
\( \mathbf{c} \cdot 12 k J \)
D. \( 12 \mu J \) | 3 | Physics |
Shape of \( C O_{2} \) is:
A. pyramidal
B. triangular
c. linear
D. spherical | 1 | Chemistry |
In cyanide method, silver metal is
obtained as given in the following
reaction:
\( \mathbf{2} \boldsymbol{K}\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right]+\boldsymbol{Z} \boldsymbol{n} \longrightarrow \)
\( \boldsymbol{K}_{2}\left[\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{C} \boldsymbol{N})_{4}\right]+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g} \)
In this :
A. \( A g \) has been oxidised and \( Z n \) has been reduced
B. \( A g^{+} \) has been reduced and \( Z n \) has been oxidised
c. both the metals have been oxidised
D. both the metals have been reduced | 1 | Chemistry |
\( \tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right) \) | 2 | Maths |
\( \boldsymbol{x}^{2}-(\boldsymbol{m}-\mathbf{3}) \boldsymbol{x}+\boldsymbol{m}=\mathbf{0}(\boldsymbol{m} \in \boldsymbol{R}) \) be a
quadratic equation. Find the value of \( \boldsymbol{m} \)
for which, both the roots lie in the
interval of (1,2)
A. \( (10, \infty) \)
)
в. \( (-\infty, 0) \)
\( c \cdot(-\infty, \infty) \)
D. None of the above | 2 | Maths |
The aqueous solution of the salt will
colored in the case of:
This question has multiple correct options
\( \mathbf{A} \cdot Z n\left(N O_{3}\right)_{2} \)
в. \( \operatorname{LiNO}_{3} \)
\( \mathrm{c} \cdot \mathrm{Co}\left(\mathrm{NO}_{3}\right)_{2} \)
D. \( C r C l_{3} \) | 1 | Chemistry |
A plane area of \( 100 \mathrm{cm}^{2} \) is placed in uniform electric field of \( 100 N / C \) such that the angle between area vector and
electric field is \( 60^{\circ} . \) The electric flux
over the surface is
A . \( 0.5 \mathrm{wb} \)
B. \( 5 \mathrm{Wb} \)
\( c \cdot 1 w b \)
D. | 3 | Physics |
2-iodo cyclohexyl acrylate undergoes
acetolysis.Which of the following
statement(s) is/are true?
This question has multiple correct options
A. Trans-isomer of the substrate undergoes acetolysis 670 times faster than that of its cis-isomer.
B. Cis-isomer of the substrate undergoes cytolysis 670 times faster than that of its trans-isomer.
C. Both isomers undergo cytolysis with the same rate.
D. The enhanced rate of this nucleophilic substitution is due to neighbouring group participation. | 1 | Chemistry |
Indicate the following compound as
\( 1^{\circ}, 2^{\circ} \) and \( 3^{\circ} \)
\( \boldsymbol{E} \boldsymbol{t}_{3} \boldsymbol{N} \)
\( \mathbf{A} \cdot 1^{\circ} \)
B. \( 2^{\circ} \)
\( c \cdot 3^{\circ} \)
D. Non of the above | 1 | Chemistry |
n the given figure, \( \angle \boldsymbol{A}+\angle \boldsymbol{B}+\angle \boldsymbol{C}+ \)
\( \angle D+\angle E \) is equal to
2
\( c \cdot \frac{3 \pi}{\pi} \)
2
22 | 2 | Maths |
What is the effect on self inductance of
a solenoid, if a core of soft iron is placed in it? | 3 | Physics |
If \( y=\cot ^{-1}(\sqrt{\cos x})- \)
\( \tan ^{-1}(\sqrt{\cos x}) P . T \sin y=\tan ^{2} x / 2 \) | 2 | Maths |
The equivalent weights of a metal are
18.66 and \( 28, \) then atomic weight of
metal may be?
\( \mathbf{A} \cdot 18.66 \)
B. 28
c. 56
D. 25 | 3 | Physics |
Which of the following is the CORRECT
electron configuration for the
potassium ion \( \left(\boldsymbol{K}^{+1}\right) \) ?
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} \)
B . \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} \) | 1 | Chemistry |
Prove that:
\[
\begin{array}{l}
{\left[\begin{array}{lll}
\mathbf{x} \mathbf{y} & \mathbf{z}
\end{array}\right]\left[\begin{array}{lll}
\boldsymbol{a} & \boldsymbol{h} & \boldsymbol{g} \\
\boldsymbol{h} & \boldsymbol{b} & \boldsymbol{f} \\
\boldsymbol{g} & \boldsymbol{f} & \boldsymbol{c}
\end{array}\right]\left[\begin{array}{l}
\boldsymbol{x} \\
\boldsymbol{y} \\
\boldsymbol{z}
\end{array}\right]} \\
= & {\left[\boldsymbol{a x}^{2}+\boldsymbol{b} \boldsymbol{y}^{2}+\boldsymbol{c} \boldsymbol{z}^{2}+\boldsymbol{c f} \boldsymbol{z}+\boldsymbol{2 g} \boldsymbol{z} \boldsymbol{x}+\boldsymbol{t}\right.}
\end{array}
\]
\( 2 h x y \) | 2 | Maths |
Mark the correct option
A. Force can be seen
B. When an inflated balloon is pressed between the two hands,only its shape changes
C. Force is a push,pull or squeeze
D. All | 3 | Physics |
A long solenoid has 200 turns per cm
and carries a current i.The magnetic field at its centre is \( 6.28 \times \) \( 10^{-2} W b / m^{2} . \) Another long solenoid
has 100 turns per \( \mathrm{cm} \) and it carries a
current i/3.The value of magnetic field
at its centre is:
A \( \cdot 1.05 \times 10^{-2} \mathrm{Wb} / \mathrm{m}^{2} \)
в. \( 1.05 \times 10^{-5} \mathrm{Wb} / \mathrm{m}^{2} \)
c. \( 1.05 \times 10^{-3} \mathrm{Wb} / \mathrm{m}^{2} \)
D. \( 1.05 \times 10^{-4} \mathrm{Wb} / \mathrm{m}^{2} \) | 3 | Physics |
The heat capacity at constant volume of a sample of a monoatomic gas is \( \mathbf{3 1 . 8 6 7} J / K . \) Find the internal energy at
\( 300^{\circ} \mathrm{C} \)
A. \( 8.88 k J \)
J
в. \( 9.56 k J \)
\( c .3 .56 k J \)
D. \( 8.96 k J \) | 1 | Chemistry |
In which of the following equilibrium, equilibrium can not be identified by observing variation in pressure?
A. Decomposition of \( H I \)
B. Decomposition of \( C a C O_{3} \)
c. Decomposition of \( N H_{4} H S \)
D. None of the above | 1 | Chemistry |
Find the volume of a cube of side \( 9 \mathrm{cm} \)
in cubic metres | 2 | Maths |
The initial mass of a radioactive
isotope was 128 g. Find the mass of a material if 4 half lives occured.
\( A \cdot 8 g \)
в. 7.5
\( c .7 g \)
D. \( 6.5 \mathrm{g} \) | 2 | Maths |
Integrate \( \int \frac{d x}{(x+1)(x+5)} \) | 2 | Maths |
Refractive indices of water and glass
are \( 4 / 3 \) and \( 3 / 2 \) respectively. A ray of light travelling in water is incident on
the water-glass interface at \( 30^{\circ} \) Calculate the angle of refraction. | 3 | Physics |
The internal resistance of a primary cell
depends on
A. the concentration of solution
B. the current drawn from the cell
c. the distance between the electrodes of the cell
D. all of the above | 3 | Physics |
The following reaction is used for the
preparation of oxygen gas in the laboratory \( 2 K C l O_{3}(s) \frac{\text {Heat}}{\text {Catalyst}} 2 K C l(s)+3 O_{2}(g) \)
Which of the following statement is correct about the reaction?
A. It is a decomposition reaction and endothermic in nature
B. It is a combination reaction
c. It is a decomposition reaction and accompanied by release of heat
D. It is a photochemical decomposition reaction and exothermic in nature | 1 | Chemistry |
The values of colligative properties of colloidal solution are of small order in
comparison to those shown by true solutions of same concentration
because of colloidal particles:
A. exhibit enormous surface area
B. remain suspended in the dispersion medium
c. form lyophilic colloids
D. are comparatively less in number | 1 | Chemistry |
Evaluate \( (-6) \times(-2) \)
A . -8
B. +8
c. -12
D. +12 | 2 | Maths |
A block of mass \( 15 \mathrm{kg} \) is resting on a rough inclined plane as shown in figure The block is tied up by a horizontal string
which has a tension of 50N. Calculate the
coefficient of friction between the block
and inclined plane. | 3 | Physics |
Find the arguments of each of the complex numbers.
1. \( \boldsymbol{z}=-\mathbf{1}-\boldsymbol{i} \sqrt{\mathbf{3}} \)
2. \( z=-\sqrt{3}+i \)
3. \( \boldsymbol{z}=\mathbf{1}+\boldsymbol{i} \sqrt{\mathbf{3}} \) | 2 | Maths |
Anaphase differs from metaphase in
having
A. Same number of chromosomes and half number of chromatids
B. Half number of chromosomes and half number of
chromatids
C. Half number of chromosomes and same number of
chromatids
D. Same number of chromosomes and same number of
chromatids | 0 | Biology |
A charged oil drop is moving downward
with a velocity \( V_{1} . \) As it acquires an
additional charge it moves up with the velocity \( V_{2} \) in the same electric field. It
fall freely with a velocity \( V \) in the absence of electric field. The ratio of the
charges before and after acquiring additional charge is
A. \( \frac{V_{1}+V}{V_{2}-V_{1}} \)
B. \( \frac{V_{1}+V_{2}}{2 V} \)
c. \( \frac{V-V_{1}}{V+V_{2}} \)
D. \( \frac{V_{2}-2 V_{1}}{2 V_{1}+V} \) | 3 | Physics |
The soap molecule has a:
A. hydrophilic head and a hydrophobic tail
B. hydrophobic head and a hydrophilic tail
C. hydrophobic head and hydrophobic tail
D. hydrophilic head and a hydrophilic tail | 1 | Chemistry |
(a) Explain the following.
(i) Roasting
(ii) Calcination.
(b) What are amphoteric oxides? Write the name of such one oxide.
(c) By which two metals is brass alloy formed? | 1 | Chemistry |
Which of the following processes keeps the plant cool?
A. Photosynthesis
B. Transpiration
c. Respiration
D. Translocation | 0 | Biology |
How is it that ionic compounds in the solid state do not conduct electricity and they do so when in molten state? | 1 | Chemistry |
\( \int x \cos ^{2} 2 x d x \) | 2 | Maths |
Which of the following has lowest boiling point?
A \( \cdot \mathrm{H}_{2} \mathrm{O} \)
в. \( \mathrm{H}_{2} \mathrm{s} \)
c. \( \mathrm{H}_{2} \mathrm{Se} \)
D. \( \mathrm{H}_{2} \mathrm{Te} \) | 1 | Chemistry |
Which is correct with respect to 'p' orbitals?
A. They are spherical
B. They have a strong directional character
c. They are five fold degenerate
D. They have no directional character | 1 | Chemistry |
The neutral temperature of a
thermocouple is \( 275^{\circ} \mathrm{C} \) and the
temperature of inversion is \( 600^{\circ} \mathrm{C} \). The
temperature of the cold junction is
\( A \cdot 50^{\circ} C \)
B . \( 25^{\circ} \mathrm{C} \)
\( c \cdot-25^{\circ} C \)
D. \( -50^{\circ} \mathrm{C} \) | 3 | Physics |
Condensed structural formula of
propane is:
A. \( C H_{3}-C H_{2}-C H_{3} \)
в. \( C H_{2}-C H_{3}-C H_{3} \)
c. \( C H_{2}-C H_{4}-C H_{2} \)
D. none of the above | 1 | Chemistry |
The principal argument of
\( \sqrt{2}\left[\cos \frac{5 \pi}{3}+i \sin \frac{5 \pi}{3}\right] \) is
A \( \cdot \frac{5 \pi}{3} \)
B. \( \frac{\pi}{3} \)
\( c \cdot-\frac{\pi}{3} \)
D. \( -\frac{\pi}{2} \) | 2 | Maths |
If \( u, v, w \) are non-coplanar vector and
\( \boldsymbol{p}, \boldsymbol{q} \) are real numbers, then the equality \( [\mathbf{3 u} \boldsymbol{p v} \boldsymbol{p w}]-[\boldsymbol{p v} \boldsymbol{w} \boldsymbol{q} \boldsymbol{w}]-[\mathbf{2 w} \boldsymbol{q} \boldsymbol{v} \boldsymbol{q} \boldsymbol{u}]= \)
\( \mathbf{0} \) holds for
A. Exactly two values of \( (p, q) \)
B. More than but not all values of \( (p, q) \)
c. All values of \( (p, q) \)
D. Exactly one values of \( (p, q) \) | 2 | Maths |
The mass of an atom resides in :
A. nucleus
B. protons
c. electrons
D. all of the above | 1 | Chemistry |
Integrate the rational function \( \frac{2 x}{\left(x^{2}+1\right)\left(x^{2}+3\right)} \) | 2 | Maths |
In a harbor, wind is blowing at the speed of \( 72 \mathrm{km} / \mathrm{h} \) and the flag on the mast of a boat anchored in the harbor flutters
along the N-E direction. If the boat starts moving at as speed of \( 51 \mathrm{km} / \mathrm{h} \) to the north, what is the direction of the
flag on the mast of the boat? | 3 | Physics |
Members of hominidae are
A. Man, Lemur, Ape
B. Man, Chimpanzee, Gorilla
C. Monkey, Ape, Lemur
D. Chimpanzee, Lemur, Ape | 0 | Biology |
Assertion
Acraniata is a group of organisms which do not have distinct cranium.
Reason
It includes small marine forms without
head
A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
c. If the assertion is true but the reason is false
D. If both the assertion and reason are false | 0 | Biology |
Choose incorrect statement about
photosynthesis.
A. It is a physico- chemical process
B. Oxygen is evolved as a by product in all photosynthetic organisms
C. Occurs in unicellular and multicellular
photoautotrophs
D. Anabolic and reductive process | 0 | Biology |
If \( A \) and \( B \) are two perpendicular vectors given by \( \bar{A}=5 \bar{i}+7 \bar{j}+3 \bar{k}, \) and \( 4 \bar{B}= \)
\( 2 \bar{i}+2 \bar{j}+c \bar{k}, \) then the value of \( c \) is:
\( A \cdot-2 \)
B. 8
\( c .-7 \)
\( D \cdot-8 \) | 3 | Physics |
The \( \left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{3-} \) complex ion:
A. exhibits planar geometry
B. is diamagnetic
c. should be very stable
D. has 2 unpaired electrons | 1 | Chemistry |
Assertion
Projectile motion is called a two dimensional motion, although it takes
place in space.
Reason
In space it takes place in a plane.
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 is incorrect but Reason is correct. | 3 | Physics |
If the length and area of cross-section of a conductor are doubled, then its
resistance will be
A. unchanged
B. halvedd
c. doubled
D. quadrupled | 3 | Physics |
\( 24 \mathrm{J} \) of heat are added to a gas in a container, and then the gas does 6 J of work on the walls of the container. What
is the change in internal energy for the gas?
A . - 30
B . - 18 J
c. 4 J
D. 18 J
E. 30 | 3 | Physics |
A postage stamp is \( 12 \mathrm{mm} \) in breadth and \( 20 \mathrm{mm} \) in length. Find the area of
\( \operatorname{stamp} \operatorname{in} c m^{2} \)
A . 0.24
в. 240
c. 24
D. 2.4 | 2 | Maths |
If two resistors of resistance \( 30 \Omega \) and
\( 40 \Omega \) are connected in parallel across a battery. The ratio of the potential difference across them is
A . 1: 1
B . 2: 1
\( c .3: 4 \)
D. 4: 3 | 3 | Physics |
The arm PQ can revolve with uniform
speed continuously about P round the
circular uniform potentiometer track
XYZ. The voltage between RS will vary
with respect to time:
A. sinusoidally
B. Linearly
c. Rectangularly
D. Like saw tooth | 3 | Physics |
A concave lens of focal length \( 5 \mathrm{cm} \) is used as a simple microscope. The image is formed at the least distance of
distinct vision. Calculated the angular magnification.
\( A \cdot 6 \)
B. 5
\( c \cdot 0.5 \)
D. 4 | 3 | Physics |
Find the integral value of \( x, \) if \( \left|\begin{array}{ccc}\boldsymbol{x}^{2} & \boldsymbol{x} & \mathbf{1} \\ \mathbf{0} & \boldsymbol{2} & \mathbf{1} \\ \boldsymbol{3} & \boldsymbol{1} & \boldsymbol{4}\end{array}\right|=\mathbf{2} \mathbf{8} \) | 2 | Maths |
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