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Assertion
The solubility of a substance changes
with temperature.
Reason
Heat is required to break the bonds
holding molecules together so solubility is dependent on temperature.in dissolution, energy, in the form of heat, is required to break the bonds joining
the molecules in the solid together.
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
|
\begin{tabular}{|ccc}
if \( \boldsymbol{f}(\boldsymbol{x})= \) & \\
\( \mathbf{1} \) & \( \boldsymbol{x} \) & \( \boldsymbol{x}+ \) \\
\( \boldsymbol{2} \boldsymbol{x} \) & \( \boldsymbol{x}(\boldsymbol{x}-\mathbf{1}) \) & \( (\boldsymbol{x}+ \) \\
\( \boldsymbol{3} \boldsymbol{x}(\boldsymbol{x}-\mathbf{1}) \) & \( \boldsymbol{x}(\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}-\mathbf{2}) \) & \( (\boldsymbol{x}+\mathbf{1}) \boldsymbol{x} \)
\end{tabular}
then \( f(100) \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
\( c .100 \)
D. -
| 2 |
Maths
|
In A.C generator increasing no. of turns
in coil :
A. decreases the EMF
B. EMF remains same
c. increases the EMF
D. EMF becomes zero
| 3 |
Physics
|
Assertion
An alternating current does not show
any magnetic effect.
Reason
Alternating current does not vary with time
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
|
Wires \( A \) and \( B \) are made from the same
material. Wire A has length 12m and weight 50 g, while wire \( B \) is 18 m long and weighs 40 g. Then the ratio \( \left(R_{A} / R_{8}\right) \) of their resistances will be
\( A \cdot 16 / 45 \)
B. 415
\( c \cdot 8 / 15 \)
D. 419
| 3 |
Physics
|
Which of the following is better nucleophile?
A. \( H_{2} O \)
B. \( H O^{-} \)
\( \mathbf{c} \cdot C_{2} H_{5} O^{-} \)
D. \( C H_{3} C O O^{-} \)
| 1 |
Chemistry
|
Lower aldehyde and ketones attributed to the formation of \( _{--}-_{-}- \) bonding with water molecules.
A. Sigma bonding
B. pii bonding
c. covalent bonding
D. Hydrogen bonding
| 1 |
Chemistry
|
A current of \( 3.14 A \) flows in an infinitely long wire with cross section in the form of a semicircular ring of radius \( 5 \mathrm{cm} \) The magnitude of magnetic induction on its axis is :
A . \( 8.0 \times 10^{-6} T \)
В. \( 1.6 \times 10^{-5} T \)
c. \( 2.0 \times 10^{-5} T \)
D. \( 4.0 \times 10^{-6} T \)
| 3 |
Physics
|
Evaluate
\( \int \frac{d x}{(2 x-7) \sqrt{(x-3)(x-4)}} \)
| 2 |
Maths
|
The volume of oxygen at \( S T P \) required
to burn \( 2.4 g \) of carbon completely is:
\( \mathbf{A} \cdot 1.12 L \)
B. \( 8.96 L \)
c. \( 2.24 L \)
D. 4.48L
| 1 |
Chemistry
|
If \( f(x)=\frac{\tan x}{\sqrt{1+\tan ^{2} x}}, \lim _{x \rightarrow(\pi / 2)^{-}} f(x)= \)
\( \boldsymbol{a} \) and \( \lim _{\boldsymbol{x} \rightarrow(\boldsymbol{\pi} / \mathbf{2})^{+}} \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{b} \) then
\( \mathbf{A} \cdot a=b \)
B . \( a=1+b \)
\( \mathbf{c} \cdot a+b=0 \)
D. \( a+b=2 \)
| 2 |
Maths
|
left of a thin convex lens of focal length
\( 30 \mathrm{cm} . \) A convex spherical mirror of
radius of curvature \( 100 \mathrm{cm} \) is placed to
the right of the lens at a distance of
\( 50 \mathrm{cm} . \) The mirror is titled such that the
axis of the mirror is at a angle \( \boldsymbol{\theta}=\mathbf{3 0}^{\circ} \)
to the axis of the lens, as shown in the
figure.
If the origin of the coordinate system is
taken to be at the centre of the lens, the
coordinates \( (\text { in } c m) \) of the point \( (x, y) \)
at which the image is formed are:
\( \mathbf{A} \cdot(125 / 3,25 / \sqrt{3}) \)
B \( \cdot(50-25 \sqrt{3}, 25) \)
c. (0,0)
D. \( (25,25 \sqrt{3}) \)
| 3 |
Physics
|
In a recent survey, \( 40 \% \) houses contained two or more people. Of those houses containing only one person, \( 25 \% \) were having only a male What is the percentage of all houses, which contain exactly one female and no males?
A . 15
B. 45
c. 75
D. Can't be determined
| 2 |
Maths
|
Given the reaction: \( N_{2}(g)+3 H_{2}(g) \rightleftharpoons \)
\( 2 N H_{3}(g)+22 k c a l \)
When 6 moles of \( N H_{3} \) are consumed to
produce nitrogen gas and hydrogen gas, determine the value of \( \Delta H \) for the
reverse reaction?
\( \mathbf{A} \cdot+22 k c a l \)
B . +66 kcal
c. -22 kcal
D. - 66 kcal
E . +33 kcal
| 1 |
Chemistry
|
If \( \boldsymbol{L} \boldsymbol{M} \| \boldsymbol{Q} \boldsymbol{R}, \frac{\boldsymbol{P} \boldsymbol{L}}{\boldsymbol{L} \boldsymbol{Q}}=\frac{\boldsymbol{3}}{\mathbf{5}}, \boldsymbol{P} \boldsymbol{R}=\mathbf{5 . 6} \boldsymbol{c m} \)
then \( P M \) is
A \( .2 .4 \mathrm{cm} \)
B. 2.3 ст
\( c .2 .1 \mathrm{cm} \)
D. 2.2 cm
| 2 |
Maths
|
Complete the reactions with
appropriate products.
(i) \( C H_{3} C H O+N H_{2} O H \rightarrow X \)
(ii) \( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{P d C l}_{2}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \stackrel{\boldsymbol{C u C l}_{2}}{\longrightarrow} \boldsymbol{Y} \)
(iii) \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O H} \frac{C r \boldsymbol{O}_{3}-\boldsymbol{H}_{2} \boldsymbol{S O}_{4}}{\boldsymbol{\lambda}} \boldsymbol{Z} \)
A. \( X=C H_{3} C H=N O H, Y=C H_{3} C H O, Z= \)
\( C H_{3} C H_{2} C H_{2} C O O H \)
B. \( X=C H_{3} C H_{2} N H_{2}, Y=C H_{3} C H_{2} C H O, Z= \)
\( C H_{3} C H_{2} C H_{2} C O O H \)
c. \( X=C H_{3} C O N H_{2}, Y=H C H O, Z=C H_{3} C O C H_{3} \)
| 1 |
Chemistry
|
Inside water, an air bubble behaves
A. Always like a flat plate
B. Always like a concave lens
C. Always like a convex lens
D. Always like a concave mirror
| 3 |
Physics
|
Blood of Pheretima is
A. Red
в. Вlue
c. colourless
D. None of the above
| 0 |
Biology
|
In the matrix, write:
\( A=\left[\begin{array}{ccc}2 & 5 & 19-7 \\ 35-2 & \frac{5}{2} & 12 \\ \sqrt{3} & 1 & -517\end{array}\right] \)
(i) The order of the matrix
(ii) The number of elements
(iii) Write the elements \( a_{13}, a_{21}, a_{33}, a_{24}, a_{23} \)
| 2 |
Maths
|
A toroid has a core(non-ferromagnetic) of inner radius \( 25 \mathrm{cm} \) and outer radius
\( 26 \mathrm{cm}, \) around which 3500 turns of a
wire are wound. If the current in the wire
is \( 11 A \), the magnetic field inside the core of the toroid is?
| 3 |
Physics
|
The maximum safe speed for a vehicle taking a turn on a curved banked road, does not depend upon
A. acceleration due to gravity
B. mass of the vehicle
c. angle of inclination with the horizontal
D. radius of curvature of the track
| 3 |
Physics
|
The ratio of value of gravitational constant \( G \) between Earth and Moon
system and Earth and Sun system is-
\( A \cdot>1 \)
в. \( <1 \)
c. 1
D. can't be calculated
| 3 |
Physics
|
An electric oven of \( 2 \mathrm{kW} \) power rating is operated in a domestic electric circuit
that has a current rating of 5A. If the supply voltage is \( 220 \mathrm{V} \), what result do you expect?
A . circuit will be breaked
B. fuse will blow
\( c . \) both
D. none
| 3 |
Physics
|
On increasing temperature from \( 200 \mathrm{K} \) to \( 220 \mathrm{K} \) rate of reaction \( \boldsymbol{A} \) increases by
3 times and rate of reaction \( B \)
increases by 9 times then correct relationship between activation energy of \( A \) and \( B \) is:
A. \( E_{A}=3 E_{B} \)
B \( .3 E_{A}=E_{B} \)
\( \mathbf{c} \cdot E_{B}=2 E_{A} \)
D. \( E_{A}=2 E_{B} \)
| 1 |
Chemistry
|
In a square box, a glass is to be surrounded by a \( 2 \mathrm{cm} \) glass border. If
the total area of the square is \( 121 \mathrm{cm}^{2} \) Find the dimension of the glass box.
A. \( 5 \mathrm{cm} \)
в. \( 6 \mathrm{cm} \)
\( c \cdot 7 \mathrm{cm} \)
D. \( 8 \mathrm{cm} \)
| 2 |
Maths
|
Account for the following:
(i) \( B i(V) \) is a stronger oxidizing agent
\( \operatorname{than} \boldsymbol{S b}(\boldsymbol{V}) \)
(ii) \( N-N \) single bond is weaker than
\( \boldsymbol{P}-\boldsymbol{P} \operatorname{single} \) bond
(iii) Noble gases have very low boiling points.
| 1 |
Chemistry
|
By dissolving 0.35 mole of sodium
chloride in water, \( 1.30 l \) of salt solution
is obtained. The molarity of the resulting solution should be reported
as:
A . 0.3
B. 0.269
c. 0.27
D. 0.2692
| 1 |
Chemistry
|
The flux of magnetic field through closed conducting loop of resistance 0.4 Whanges with time according to the
equation \( \phi=0.20 t^{2}+0.40 t+0.60 \) where
is time in seconds. Find
(i) the induced
emf at \( t=2 s . \) (ii) the average induced emf in \( t=0 \) to \( t=5 \) s. (iii) change passed through the loop in \( t=0 \) to \( t=5 s . \) (iv) average current in time interval \( t=0 \) to
\( t=5 s \)
(v) heat produced in \( t=0 \) to \( t=5 s \)
| 3 |
Physics
|
When is the virtual image formed?
A. when the rays of light after reflection or refraction appear to meet at a point
B. when the rays of light after reflection or refraction meet at a point
C. when the rays of light after deflection appear to meet at a point
D. when the lens rays after reflection or refraction meet at a point
| 3 |
Physics
|
\( A B C D \) is a quadrilateral in which \( A B \)
and \( C D \) are smallest and longest sides
respectively.
Prove that \( \angle A>\angle C a n d \angle B>\angle D \)
| 2 |
Maths
|
On a planet where \( \boldsymbol{g}_{\text {planet}}=\mathbf{0 . 2} \boldsymbol{g}_{\text {earth}} \)
What will be the difference in the height of column filled with mercury in a closed end manometer when the gas is
filled withe pressure of \( 2 a t m \) on earth (Assuming:outside pressure to be 1 atm on both planet; Volume of gas remain constant)
A . \( 30.4 \mathrm{cm} \)
в. \( 760 \mathrm{cm} \)
c. \( 380 c m \)
D. 152 ст
| 3 |
Physics
|
The material for making permanent magnets should have
A. high retentivity, high coercivity
B. high retentivity, low coercivity
c. low retentivity, high coercivity
D. low retentivity, low coercivity
| 3 |
Physics
|
Which metabolite is common in
respiration mediated breakdown of fats, carbohydrates and proteins?
A. Acetyl CoA
B. Glucose 6-phosphate
c. Fructose 1, 6-biphosphate
D. Pyruvic acid
| 0 |
Biology
|
The variable in the quadratic
polynomial \( t^{2}+4 t+5 \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B. 4
\( c \cdot t \)
D. 5
| 2 |
Maths
|
initial speed of \( 25 \mathrm{m} / \mathrm{s} \) at an angle \( \boldsymbol{\theta} \)
with the horizontal as shown in figure. Write down the equation of the
projectile of the football when the ball is
7 m (along x-axis) away from the
footballer.
A \( \cdot y=7 \tan \theta-\frac{49 g}{1350 \cos ^{2} \theta} \)
B. \( y=\tan \theta-\frac{9 g}{1350 \cos \theta} \)
c. \( y=7 \cot \theta-\frac{49 g}{1350 \cos ^{2} \theta} \)
D. \( y=7 \tan \theta-\frac{41 g}{1350 \cos 2 \theta} \)
| 3 |
Physics
|
\( \int e^{x}\left[f(x)+f^{\prime}(x)\right] d x \) is equal to
\( \mathbf{A} \cdot e^{x} f(x)+c \)
B \( \cdot e^{x}+c \)
\( \mathbf{c} \cdot e^{x} f^{\prime}(x)+c \)
D. None of these
| 2 |
Maths
|
Figure shows equi-potential surfaces
for a two charges system. At which of
the labeled points point will an electron
have the highest potential energy?
A. Point \( A \)
B. Point \( B \)
\( c . \) Point \( C \)
D. Point \( D \)
| 3 |
Physics
|
The conductivity of \( 0.20 \mathrm{M} \) solution of
\( K C l \) at \( 298 \mathrm{K} \) is \( 0.0248 S c m^{-1} \)
Calculate its molar conductivity.
A \( \cdot 112 \operatorname{Scm}^{2} m o l^{-1} \)
B. \( 124 S c m^{2} m o l^{-1} \)
\( \mathbf{c} \cdot 136 S c m^{2} m o l^{-1} \)
D. 148 Scm \( ^{2} \) mol \( ^{-1} \)
| 1 |
Chemistry
|
Let \( \boldsymbol{A}=\boldsymbol{R} \times \boldsymbol{R} \) and \( * \) be a binary
operation on \( A \) defined by \( (a, b) * \) \( (c, d)=(a+c, b+d) . \) Show that \( * \) is
commutative and associative. Find the
identity element for \( * \) on \( A, \) if any
| 2 |
Maths
|
The difference between the wavelengths of the Stokes line and Anti-Stokes lines
in the Raman spectrum of \( \boldsymbol{H}-\boldsymbol{B} \boldsymbol{r} \)
molecule is \( 100 \dot{A} \). If the wavelength of the Anti-Stokes line is \( 5000 A \) the
wavelength of the incident radiation is:
В . \( 4950 \AA \)
c. \( 5100 \hat{h} \)
D. 4900 音
| 3 |
Physics
|
Water absorbs light. As depth increases intensity of light decreases linearly. At
13.5 feet, water absorbs 50 percent of
light which strikes the surface. At what depth would the light at noon be
reduced by \( \frac{1}{3.00,000} \) of the noon light.
| 2 |
Maths
|
A photon of wavelength \( 300 \mathrm{nm} \) interacts with a stationary hydrogen atom in ground state. During the interaction,whole energy of the photon is transferred to the electron of the
atom. State which possibility is correct (Consider,Plancks constant \( =\mathbf{4} \times \mathbf{1 0}^{-1 \mathbf{1}} \)
\( \mathrm{eVs}, \) velocity of light \( =3 \times 108 \mathrm{m} / \mathrm{s} \)
ionization energy of hydrogen \( =13.6 \mathrm{e} \)
A. Electron will be knocked out of the atom
B. Electron will go to any excited state of the atom
c. Electron will go only to first excited state of the atom
D. Electron will keep orbiting in the ground state of ato
| 3 |
Physics
|
Solve \( : 3^{1} \times^{10} C_{1}+3^{2} \times^{10} C_{2}+3^{3} \times^{10} \)
\( C_{3}+\ldots .+3^{10} \times^{10} C_{10}=? \)
| 2 |
Maths
|
An equilateral triangle has area \( A \sqrt{3} \) Three circles are drawn with their
centres at the vertices of the triangle. Diameter of each circle is equal to the
length of each side of the triangle. The area of the triangle NOT included in any
of the three circles is
A \( \cdot A\left(\sqrt{3}-\frac{\pi}{6}\right) \)
B . \( A(\pi-\sqrt{3}) \)
c. \( A(3 \pi-\sqrt{3}) \)
D. \( A\left(\sqrt{3}-\frac{\pi}{2}\right) \)
| 2 |
Maths
|
The atomic masses of three elements \( \boldsymbol{A} \)
\( B \) and \( C \) having similar chemical
properties are 7,23 and 39 respectively.
(a) Calculate the average atomic mass of elements \( A \) and \( C \)
(b) Compare the average atomic mass with atomic mass of \( \boldsymbol{B} \)
(c) What could the elements \( A, B \) and \( C \)
be?
| 1 |
Chemistry
|
In the figure given above, the position
time graph of a particle of mass \( 0.1 k g \)
is shown. The impulse at \( t=2 \sec \) is:
A \( .0 .2 k g m s e c^{-} \)
B. - \( 0.2 k g m \) sec \( ^{-1} \)
c. \( 0.1 k \) gmsec \( ^{-1} \)
D. - \( 0.4 k g \) msec\( ^{-} \)
| 3 |
Physics
|
ATP was discovered by
A. Lipmann
B. Lohmann
c. Blackman
D. Bowman
| 0 |
Biology
|
A satellite moves in a circular orbit
around the earth at height \( \boldsymbol{R} / 2 \) from
earth's surface where \( R_{e} \) is the radius
of the earth. Calculate its period of
revolution. Given \( \boldsymbol{R}_{e}=\mathbf{6 . 3 8} \times \mathbf{1 0}^{\mathbf{6}} \mathbf{m} \)
| 3 |
Physics
|
Is \( 1.0 \mathrm{M} \boldsymbol{H}^{+} \) solution under \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) at
1.0atm capable of oxidising silver metal
in the prescence of \( 1.0 \mathrm{M} A g^{+} \) ion?
| 1 |
Chemistry
|
Among the Lanthanoids, the one obtained by synthetic method is:
A . \( L u \)
в. \( P r \)
c. \( P m \)
D. \( G d \)
| 1 |
Chemistry
|
The total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of \( 1 d m^{3} \) at \( 27^{\circ} C \) is :
\( \left(R=0.083 \text { bar } d m^{3} K^{-1} m o l^{-1}\right) \)
A . 44.02 bar
B . 35.35 bar
c. 56.025 bar
D. 42.39 bar
| 1 |
Chemistry
|
Standard electrode potential for \( \mathrm{Fe} \)
electrode are given as \( F e^{++}+2 e^{-} \rightarrow F e \)
\( E^{0}=-0.44 V F e^{3+}+e^{-} \rightarrow F e^{++} E^{0}= \)
\( +0.77 V F e^{++}, F e^{+++} \) and Fe block are
kept together then:
A \( \cdot\left[F e^{+++}\right] \) decreases
B . \( \left[F e^{+++}\right] \) increases
C \( \cdot\left[F e^{++} F e^{+++}\right] \) remains unchanged
D. \( \left[F e^{++}\right] \) decreases
| 1 |
Chemistry
|
tood
yo
| 1 |
Chemistry
|
What is the systematic position of funaria?
| 0 |
Biology
|
A 5 m \( 60 \mathrm{cm} \) high vertical pole casts a
shadow \( 3 m 20 \mathrm{cm} \) long. Find at the
same time (i) the length of the shadow cast by another pole 10 m \( 50 \mathrm{cm} \) high
(ii) the height of a pole which casts a shadow 5 m long.
| 2 |
Maths
|
Hydroboration-oxidation of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C} \boldsymbol{H}= \)
\( \boldsymbol{C H}_{2} \) produces:
A. \( C H_{3} C H_{2} C H_{2} O H \)
в. \( C H_{3} C H(O H) C H_{3} \)
c. \( C H_{3} C H(O H) C H_{2} O H \)
D. \( C H_{3} C O C H_{3} \)
| 1 |
Chemistry
|
\( \left[\boldsymbol{P T B r} \boldsymbol{C l}\left(\boldsymbol{N O}_{2}\right)\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)\right] \boldsymbol{I} \) complex on
ionization gives the ion?
A \( \cdot C l^{-} \)
B. \( B r \)
\( c \cdot I^{-} \)
D. \( N O_{2}^{-} \)
| 1 |
Chemistry
|
Starting from rest,a car moves with
uniform acceleration and attains a
velocity of \( 72 k m / h r \) in \( 2 s . \) It then
moves with uniform speed for \( 25 s \) and
is then brought to rest in \( 10 s \) under
uniform retardation.Find the total
distance travelled using velocity time graph.
| 3 |
Physics
|
Describe any two types of cartilaginous joints giving examples.
| 0 |
Biology
|
According to the Arrhenius equation,
This question has multiple correct options
A. A high activation energy usually implies a fast reaction.
B. Rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy.
C. Higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant
D. The pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.
| 1 |
Chemistry
|
A closed box made of steel of uniform
thickness has length, breadth and
height \( 12 \mathrm{dm}, 10 \mathrm{dm} \) and \( 8 \mathrm{dm} \)
respectively. If the thickness of the steel sheet is \( 1 \mathrm{dm}, \) then the inner
surface area is
\( \mathbf{A} \cdot 456 \mathrm{dm}^{2} \)
B. \( 376 \mathrm{dm}^{2} \)
\( \mathbf{c} \cdot 264 \mathrm{dm}^{2} \)
D. \( 696 \mathrm{dm}^{2} \)
| 2 |
Maths
|
The set of all points of discontinuities of
fofofof, \( g \) where \( f \) and \( g \) are given by
| 2 |
Maths
|
Two proton beams are moving in the
parallel direction. Which of the following
statements are correct.
This question has multiple correct options
A. Force between the proton beams will be attractive
B. Magnetic force between proton beams will be attractive
C. Repulsive force will be greater than attractive forces
D. Magnetic and electrostatic forces will cancel each other
| 3 |
Physics
|
Prove that \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}-\mathbf{1}|+|\boldsymbol{x}-\mathbf{1}|+ \)
\( |x-3| \) is continuous on \( R \) but not
differentiable at \( x=1,2 \) and 3 only.
| 2 |
Maths
|
Evaluate the integral \( \int_{0}^{1} \cos ^{-1} x d x \)
A .
B. -
c. \( \frac{\pi}{2} \)
D.
| 2 |
Maths
|
Which of the following orbital overlapping will form Pi bond?
\( \underbrace{1}_{s}+\underbrace{\bigcup_{s}}_{s} \)
в.
\( c \)
\( \underbrace{S_{p_{v}}}^{y}+\underbrace{V_{p_{y}}}_{V_{V}} \)
D.
| 1 |
Chemistry
|
A \( 200 M e V \) proton enters a region of the magnetic field of intensity 5 T. The
magnetic field points from south to north and the proton in moving along the vertical. The value of the force
acting on the proton will be
A. zero
В. \( 1.8 \times 10^{-10} N \)
c. \( 3.2 \times 10^{-18} N \)
D. \( 1.6 \times 10^{-6} N \)
| 3 |
Physics
|
The cost of an article is decreased by 15
\%. If the original cost is Rs. \( 80, \) find the
new cost.
\( \mathbf{A} \cdot 68 \)
B. 65
c. 57
D. 55
| 2 |
Maths
|
\( \int_{0}^{\pi}|\cos x| d x=? \)
\( A \cdot 2 \)
B. \( \frac{3}{2} \)
c. 1
D.
| 2 |
Maths
|
An object of mass \( 1 k g \) is dropped from
a height of 20 m. It hits the ground and
rebounds with the same speed. Find the change in momentum. (Take \( \boldsymbol{g}= \)
\( \left.10 m / s^{2}\right) \)
| 3 |
Physics
|
Ohm's law is true:
A. For metallic conductor at low temperature
B. For metallic conductor at high temperature
C. For electrolytes, when current passes through them
D. For diode when current flows
| 3 |
Physics
|
In the figure, \( \angle A C B=90^{0} \) and radius
of big circle \( =2 c m, \) then the radius of
small circle is (in \( c m) \)
\( A \cdot 3-2 \sqrt{2} \)
B. \( 4-2 \sqrt{2} \)
c. \( 7-4 \sqrt{2} \)
D. \( 6-4 \sqrt{2} \)
| 2 |
Maths
|
Assertion
The focal length of a lens does not
depend on the medium in which it is submerged
Reason \( \frac{1}{\boldsymbol{f}}=\frac{\boldsymbol{\mu}_{2}-\boldsymbol{\mu}_{1}}{\boldsymbol{\mu}_{1}}\left(\frac{1}{\boldsymbol{R}_{1}}-\frac{1}{\boldsymbol{R}_{2}}\right) \)
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. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
Find the mean variance and standard
deviation using short-cut method
\( \begin{array}{ll}\begin{array}{l}\text { Height } \\ \text { in cms }\end{array} & \text { No. of children } \\ \text { 70-75 } & 3 \\ \text { 75-80 } & 4 \\ 80-85 & 7 \\ \text { 85-90 } & \text { 7 } \\ \text { 90-95 } & 15 \\ \text { 95-100 } & 9 \\ \text { 100-105 } & 6 \\ \text { 105-110 } & 6 \\ \text { 110-115 } & \text { 3 }\end{array} \)
| 2 |
Maths
|
Q Type your question.
1811 Iclicucu ny a pian
4
B
\( c \)
\( D \)
| 3 |
Physics
|
Recall that two circles are congruent if
they have the same radius then equal chords of congruent circles subtend equal angles at their centres.
A . True
B. False
| 2 |
Maths
|
Identify if the given Lewis structure is
correct
If correct enter 1 , else enter 0 .
| 1 |
Chemistry
|
The pKa values for the three groups
\( P, Q, R \) are 4.3,9.7 and 2.2 respectively Calculate the isoelectric point of the
amino acid rounded to the nearest
integer?
| 1 |
Chemistry
|
Coulomb of charge contains
\( \overline{\mathbf{2 5}} \)
electrons
\( \mathbf{A} \cdot 10^{15} \)
В. \( 10^{18} \)
\( c \cdot 10^{20} \)
D. None of these
| 3 |
Physics
|
Two wires of different material and
radius have their length in ratio of 1: 2
if these were stretched by the same force, the strain produced will be in the
ratio.
A . 4: 1
B. 1: 1
c. 2: 1
D. 1: 2
| 3 |
Physics
|
Solve the equation:cos \( ^{-1}\left(\frac{x^{2}-1}{x^{2}+1}\right)+ \)
\( \sin ^{-1}\left(\frac{2 x}{x^{2}+1}\right)+\tan ^{-1}\left(\frac{2 x}{x^{2}-1}\right)= \)
3
A \( \cdot \frac{1}{\sqrt{3}} \)
B. \( \cot 20^{\circ} \)
\( c \cdot \frac{-1}{\sqrt{3}} \)
D. \( \tan 20 \)
| 2 |
Maths
|
IR region lies between.
A. Radio waves and microwave regions
B. Microwave and visible
C. Visible and UV region
D. UV rays and X-ray region
| 3 |
Physics
|
Which of the following weights less when weighted in magnetic field?
A. \( S r C l_{3} \)
в. \( F e C l_{3} \)
c. \( T i C l_{3} \)
D. \( V C l_{3} \)
| 1 |
Chemistry
|
A full-wave p-n diode rectifier uses a load resistor of \( 1500 \Omega \). No filter is used.
The forward bias resistance of the diode
is \( 10 \Omega . \) the efficiency of the rectifier is
A . \( 81.2 \% \)
B . \( 40.6 \% \)
c. \( 80.4 \% \)
D. \( 40.2 \% \)
| 3 |
Physics
|
Fill in the blank:
charges collect near the upper edges of the clouds.
A. Negative
B. Positive
c. Neutral
D. No
| 3 |
Physics
|
A neutron breaks into a proton and an electron. Calculate the energy produced in this reaction is MeV. Mass of an
electron \( =9 \times 10^{-31} k g, \) mass of proton
\( =1.6725 \times 10^{-27} k g, \) mass of neutron
\( =1.6747 \times 10^{-27} k g, \) and speed of light
\( =3 \times 10^{8} m s^{-1} \)
| 3 |
Physics
|
Water flows out through a circular pipe whose internal diameter is \( 2 \mathrm{cm} \), at the
rate of 6 metre per second into a cylindrical tank, the radius of whose base is \( 60 \mathrm{cm} \). By how much will the
level of water rise in 30 minutes?
A \( .2 m \)
в. \( 3 m \)
\( c .4 m \)
D. \( 5 m \)
| 2 |
Maths
|
During an \( \alpha \) -decay, the atomic number of parent element
and mass number
4
| 3 |
Physics
|
Q Type your question
by \( \boldsymbol{S}_{N} \mathbf{1} \) IS \( \boldsymbol{3}^{v}>\boldsymbol{Z}^{v} \mathbf{1}^{v} \boldsymbol{K} \boldsymbol{X} \) and \( \mathbf{b} \mathbf{y} \boldsymbol{\nabla} \boldsymbol{V}^{-} \)
path is \( 1^{\circ}>2^{\circ}>3^{\circ} R X \)
Which of the following statements are
correct for the above energy diagras of
\( \boldsymbol{S}_{N} \mathbf{1} \) and \( \boldsymbol{S}_{N} \mathbf{2} \) reactions?
\( (a) \)
Fig. \( (\mathbf{b}) \)
This question has multiple correct options
\( \mathbf{A} \cdot(I) \) is Fig (a) and \( (I V) \) in Fig. (b) represent \( S_{N} 1 \) reaction
B. \( (I I) \) is Fig (a) and \( (I I I) \) in Fig. (b) represent \( S_{N} 2 \) reaction
\( \mathbf{C} \cdot \) Fig.
(a) and Fig. (b) are the energy diagrams for \( 1^{\circ} R X \)
and \( 3^{\circ} R X \) respectively
\( D \cdot F i g \)
(a) and Fig. (b) are the energy diagrams for \( 3^{\circ} \) RX
and \( 1^{\circ} R X \) respectively
| 1 |
Chemistry
|
Mohan lends Rs.4,800 to John for \( 4 \frac{1}{2} \) years and Rs.2,500 to Shyam for 6 years and receives a total sum of Rs.2,196 as
interest. Find the rate per cent per annum, it being the same in both the
cases.
A . २\%
B. 5\%
c. \( 6 \% \)
D. 9\%
| 2 |
Maths
|
The D.E whose solution is \( y=c \sin x \) is:
This question has multiple correct options
A \( \cdot \frac{d y}{d x}=y \cot x \)
\( \mathbf{B} \cdot y_{2}+y=0 \)
C \( \cdot \frac{d y}{d x}=y \cos x \)
D. \( \frac{d y}{d x}=y \csc x \)
| 2 |
Maths
|
Commercial silk is obtained from
A. Cocoon or pupa
B. Caterpillar
c. Adult moth
D. Both egg and adult moth
| 1 |
Chemistry
|
Which of the following quantities do not change when a resistor connected to a
battery is heated due to the current?
A . Resistance
B. Resistivity
c. Drift velocity
D. Free electron density
| 3 |
Physics
|
Calculate the weight of \( F e O \) produced
from 6.7 g of \( V O \) and 4.8 g of \( F e_{2} O_{3} \) \( 2 V O+3 F e_{2} O_{3} \rightarrow 6 F e O+V_{2} O_{5} \)
(Given that the atomic weight of \( V \) is 51
amu and of \( F e \) is 56 amu.
A .4 .32
B. 7.755
c. 2.585
D. 0.0718
| 1 |
Chemistry
|
Stars, in a constellation form:
A. no shape
B. any arbitrary shape
c. a recognisable shape
D. a straight line always
| 3 |
Physics
|
While opening a tap with two fingers, the forces applied are :
A. Equal in magnitude
B. Parallel to each other
c. opposite in direction
D. All the above
| 3 |
Physics
|
A variable line is such that its distance
from origin always remains 2 units. Minimum value of the length of
intercept made by it between coordinate axis is
A \( \cdot 12 \)
B. 4
\( c \cdot 8 \)
D. 16
| 3 |
Physics
|
Solve: \( (\boldsymbol{x}+\boldsymbol{y})(\boldsymbol{d} \boldsymbol{x}-\boldsymbol{d} \boldsymbol{y})=\boldsymbol{d} \boldsymbol{x}+\boldsymbol{d} \boldsymbol{y} \)
| 2 |
Maths
|
Calculate the angle of minimum deviation of ray of light passing through an equilateral prism of refractive index \( \mathbf{1 . 7 3 2} \)
| 3 |
Physics
|
Sum of atomic masses of all atoms in a
formula unit of an ionic compound is known as:
A. molecular mass
B. formula mass unit
c. atomic mass
D. None of the above
| 1 |
Chemistry
|
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