AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A wire of resistance 18 ohm is drawn until its radius reduce \( \frac{1}{2} t h \) of its original radius then resistance of the wire is:
\( \mathbf{A} \cdot 188 \Omega \)
B. \( 72 \Omega \)
c. \( 288 \Omega \)
D. \( 388 \Omega \)
Subject: Maths
\( x=\frac{\sin ^{3} p}{\cos ^{2} p}, y=\frac{\cos ^{3} p}{\sin ^{2} p} \) and \( \sin p+\cos p \)
\( =\frac{1}{2} \) then \( x+y= \)
A \( \cdot \frac{75}{18} \)
в. \( \frac{44}{9} \)
c. \( \frac{79}{18} \)
D. \( \frac{48}{9} \)
Subject: Maths
Kyle bought 2 snack boxes. Box A has a measure of 2 in \( \times 3 \) in \( \times 5 \) in. Box B
has a measure of 11 in \( \times 4 \) in \( \times 3 \) in.
Find the surface area of the boxes and
their difference.
A \( \cdot 116 i n^{2} \)
B. \( 201 i n^{2} \)
\( \mathbf{c} \cdot 279 i n^{2} \)
D. \( 198 i n^{2} \)
Subject: Physics
Two particles on a wave having wavelength \( 2 \mathrm{m} \) are at the distances of 5
\( \mathrm{m} \) and \( 9 \mathrm{m} \) respectively from origin. The phase difference between the particles
is
A \( \cdot \frac{\pi}{2} \) rad
B. \( \pi \) rad
\( c \cdot 2 \pi \) rad
D. \( 4 \pi \) rad
Subject: Physics
The voltage across the electrodes of a cathode ray tube is 500 V. Then the speed of the electron is
A \( \cdot 2.6 \times 10^{7} m s^{-1} \)
B. \( 1.33 \times 10^{7} m s^{-1} \)
\( \mathbf{c} \cdot 2.8 \times 10^{7} m s^{-1} \)
D. \( 1.9 \times 10^{7} \mathrm{ms}^{-1} \)
Subject: Chemistry
Which of the following is not a characteristic of alcohol?
A. They are lighter than water.
B. Their boiling points rise fairly uniformly with rising molecular weight
C. Lower members are insoluble in water and organic solvents but the solubility regularly increases with molecular mass.
D. Lower members have a pleasant smell and burning taste, higher members are colourless and tasteless.
E. Higher members have a pleasant smell and burning taste, lower members are colourless and tasteless.
Subject: Physics
Q Type your question_
sornetıries consider a thingy aldacried
to a horizontal spring and moving horizontally on a frictionless surface,
instead of the hanging thingy that we have been looking at. Suppose that the
two springs and the two thingies are
identical. Think about whether these
two systems are significantly different
in other respects and decide which one
of the following statements is true.
A. The systems have different periods because their motions are aligned differently with the gravitational field.
B. The hanging system has a slightly smaller period because the weight of the spring has to be accounted for.
C. The hanging system has a slightly larger period because the weight of the spring has to be accounted for.
D. The two systems have identical periods, no matter what the weight of the spring is.
Subject: Physics
If velocity ' \( V \) ', kinetic energy ' \( k \) ' and
time 'T" are taken as fundamental
quantities, then the dimensional
formula of surface tension is:
A \( \cdot K V^{2} T^{2} \)
B. \( K V^{-2} T^{-2} \)
c. \( K^{2} V^{2} T^{-2} \)
D. \( K^{2} V^{-2} T^{-2} \)
Subject: Chemistry
Assertion
Colloidal solutions are stable but
colloidal particles do not settle down.
Reason

Brownian movement counters the force
of gravity actively on colloidal particles.
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
Subject: Physics
A uniform disc is acted by two equal forces of magnitude \( F . \) One of them, acts tangentially to the disc, while other one is acting at the central point of the disc. The friction between disc surface and ground surface is nF. If \( r \) be the radius of
the disc, then the value of n would be?
(in \( N) \)
\( \mathbf{A} \cdot \mathbf{0} \)
в. 1.2
c. 2.0
D. 3.2
Subject: Chemistry
A solution contains \( A g^{+} \) ion of
concentration \( 2 \times 10^{-18} M . \) What is the
concentration of \( N a_{2} S \) solution to be used in order to just start precipitation? \( \left(\boldsymbol{K}_{s p}\left(\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}\right)=\boldsymbol{4} \times \mathbf{1 0}^{-48}\right) \)
A \( \cdot 1 \times 10^{-30} M \)
В. \( 1 \times 10^{-24} M \)
c. \( 1 \times 10^{-18} \mathrm{M} \)
D. \( 1 \times 10^{-12} M \)
Subject: Maths
Which of the following is/are true regarding the following linear equation:
\( \boldsymbol{y}=\mathbf{2} \boldsymbol{x}+\mathbf{3} \)
A \( \cdot \) It passes through (3,0) and \( m=\frac{1}{2} \)
B. It passes through (3,0) and \( m=-2 \)
c. It passes through (0,3) and \( m=2 \)
D. It passes through
(0,3) and \( m=\frac{1}{2} \)
Subject: Physics
A uniformly charged solid sphere of
radius R has potential \( V_{0} \) (measured
with respect to \( \infty \) ) on its surface. For
this sphere the equipotential surfaces with potentials \( \frac{3 V_{0}}{2}, \frac{5 V_{0}}{4}, \frac{3 V_{0}}{4} \) and \( \frac{V_{0}}{4} \)
have radius \( \boldsymbol{R}_{1}, \boldsymbol{R}_{2}, \boldsymbol{R}_{3} \) and \( \boldsymbol{R}_{4} \)
respectively. Then :
A \( . R_{1}=0 \) and \( R_{2}>\left(R_{4}-R_{3}\right) \)
B . \( R_{1} \neq 0 \) and \( \left(R_{2}-R_{1}\right)>\left(R_{4}-R_{3}\right) \)
\( \mathbf{c} \cdot 2 R<R_{4} \)
D. None of the above
Subject: Physics
The distances traversed during equal intervals of time by a freely falling body from rest are in the ratio
A. \( 1: 3: 5: 7 . \)
B. \( 2: 4: 6: 8 . . \)
c. \( 1: 4: 9: 25 . . \)
D. \( 1: 9: 25: 49 \ldots \)
E. 1: 2: 3: 4
Subject: Chemistry
The electronegativites of the following
elements \( H, O, F, S \) and \( C l \) increase in
the order:
A. \( H<O<F<S<C l \)
в. \( S<H<C l<O<F \)
c. \( H<S<O<C l<F \)
D. \( H<S<C l<O<F \)
Subject: Chemistry
At a certain temperature, the reaction
\( \boldsymbol{P C l}_{5}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \) has an
equilibrium constant \( \boldsymbol{K}_{c}=\mathbf{5} \cdot \mathbf{8} \times \mathbf{1 0}^{-\mathbf{2}} \)
Calculate the equilibrium
concentrations of \( \boldsymbol{P C l}_{5}, \boldsymbol{P C l}_{3} \) and \( \boldsymbol{C l}_{2} \) if
only \( P C l_{5} \) is present initially at a
concentration of \( \mathbf{0 . 1 6 0 M} \)
A \( \cdot\left[P C l_{3}\right]=\left[C l_{2}\right]=0.071 M,\left[P C l_{5}\right]=0.089 M \)
B . \( \left[P C l_{3}\right]=0.034 M,\left[C l_{2}\right]=0.071 M,\left[P C l_{5}\right]=0.056 M \)
c. \( \left[P C l_{3}\right]=0.075 M\left[C l_{2}\right]=0.088 M,\left[P C l_{5}\right]=0.099 M \)
D \( \cdot\left[P C l_{3}\right]=\left[C l_{2}\right]=0.043 M,\left[P C l_{5}\right]=0.089 M \)
Subject: Physics
50 g of copper is heated to increase its
temperature by \( 10^{\circ} \mathrm{C} \). If the same quantity of heat is given to 10 g of water, the rise in temperature is (specificheat of copper \( = \)
\( 420 J k g^{-1} K^{-1}, \) specificheat of water
\( \left.4200 J k g^{-1} K^{-1}\right) \)
\( \mathbf{A} \cdot 5^{\circ} C \)
B . \( 6^{\circ} \mathrm{C} \)
\( \mathrm{c} \cdot 7^{\circ} \mathrm{C} \)
D. \( 8^{\circ} \mathrm{C} \)
Subject: Physics
Relation between displacement, \( x \) and
time, \( t \) is \( x=2-5 t+t^{2}, \) the initial
acceleration will be
\( \mathbf{A} \cdot-3 m / s^{2} \)
в. \( 12 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 2 m / s^{2} \)
D. \( -5 ~ m / s^{2} \)
Subject: Physics
Four metallic plate each with a surface
area of \( A \) are placed at a distance \( d \)
from each other. The plates are
connected as shown in the circuit
diagram. Then the capacitance of the
system between a and b is-
\( \mathbf{A} \cdot \frac{3 \epsilon_{0} A}{d} \)
В. \( \frac{2 \epsilon_{0} A}{d} \)
\( \mathbf{c} \cdot \frac{2 \epsilon_{0} A}{3 d} \)
D. \( \frac{3 \epsilon_{0} A}{2 d} \)
Subject: Physics
The current in an ideal, long solenoid is varied at a uniform rate of \( 0.01 A / s . \) The solenoid has 2000 turns/m and its
radius is \( 6.0 \mathrm{cm} \)
(a) Consider a circle of
radius \( 1.0 \mathrm{cm} \) inside the solenoid with its axis coinciding with the axis of the solenoid. Write the change in the magnetic flux through this circle in 2.0 seconds.
(b) Find the electric field
induced at a point on the circumference of the circle.
(c) Find the electric field
induced at a point outside the solenoid
at a distance \( 8.0 \mathrm{cm} \) from its axis.
Subject: Physics
Q Type your question
over a trictionless light tixed pulley by an inextensible string of negligible
mass. The other end of the string is
pulled by a constant force \( \boldsymbol{F} \) in the
vertically downward direction. The
linear momentum of the block
increases by \( 2 k g m s^{-1} \) in \( 1 s \) after the
block starts from rest. Then:
\( \left(\text { Given } g=10 m s^{-2}\right) \)
This question has multiple correct options
A. The tension in the string is \( F \)
B. The tension in the string is \( 3 N \)
c. The work done by the tension on the block is \( 20 \mathrm{J} \) during this \( 1 s \)
D. The work done against the force of gravity is 10
Subject: Biology
Match the following
\begin{tabular}{lll|l} 
& Column I & & Column II \\
a. & Adrenaline & 1. & Myxoederna \\
b. & Hyperparathyroidism & 2. & Accelerates heartbeat \\
c. & Oxytocin & 3. & Water balan \\
d. & Hypothyroidism & 4. & Childbirth \\
e. & Aldosterone & 5. & Demineraliz
\end{tabular}
\( \mathbf{A} \)
\( a-2, b-5, c-4, d-1, e-3 \)
B. \( a-5, b-3, c-2, d-4, e-1 \)
\( 3, b-4, c-5, d-1, e-2 \)
\( C \cdot a-3 \)
D. \( a-2, b-3, c-4, d-5, e-1 \)
Subject: Physics
The radius of curvature of the convex
surface of a plano-convex lens is \( 10 \mathrm{cm} \)
What is the focal length of the plano-
convex lens? (Here \( \mu=1.5) \)
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 20 \mathrm{cm} \)
\( \mathbf{c} \cdot 15 \mathrm{cm} \)
D. \( 5 \mathrm{cm} \)
Subject: Physics
Assertion
Kepler's second law can be understood by conservation of angular momentum principle.
Reason
Kepler's second law is related with areal
velocity which can further be proved to
be based on conservation of angular
momentum as \( (\boldsymbol{d A} / \boldsymbol{d t})=\left(\boldsymbol{r}^{2} \boldsymbol{\omega}\right) / 2 \)
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 and Reason is correct
Subject: Maths
If \( f(x)=x^{3} \) sgn \( x \) then
A. \( f \) is differentiable at \( x=0 \)
B. \( f \) is continous but not differentiable at \( x=0 \)
\( \mathbf{C} \cdot f^{\prime}\left(0^{-}\right)=1 \)
D. none of these
Subject: Physics
A charged oil drop is held stationary in an electric field. The space surrounding the drop is exposed to a radioactive source and the drop moves with different terminal velocities \( \mathbf{v}, 2 \mathbf{v} \)
\( 3 v \) etc. It is inferred that
A. Charge is conserved.
B. Drop carries negative charge.
c. charge is quantized.
D. Drop carries positive charge.
Subject: Maths
If the position vectors of \( A, B, C, D \) are \( \vec{a}, \vec{b} \cdot 2 \vec{a}+3 \vec{b}, \vec{a}-2 \vec{b} \) respectively, then
\( \overrightarrow{\boldsymbol{A C}}, \overrightarrow{\boldsymbol{D B}}, \overrightarrow{\boldsymbol{B A}}, \overrightarrow{\boldsymbol{D A}} \) are?
A \( \cdot \vec{a}+3 \vec{b}, 3 \vec{b}-\vec{a}, \vec{a}-\vec{b}, 2 \vec{b} \vec{b} \)
B . \( 2 \vec{b}, \vec{b}-2 \vec{a}, 3 \vec{b}+\vec{a}, \vec{b}-\vec{a} \)
c. \( \vec{a}-3 \vec{b}, 3 \vec{b}-\vec{a}, \vec{a}+\vec{b}, 2 \vec{b} \)
D. \( -2 \vec{b}, \vec{b}-2 \vec{a}, 3 \vec{b}-\vec{a}, \vec{b}-\vec{a} \)
Subject: Maths
If the latus rectum of an ellipse \( \boldsymbol{x}^{2} \tan ^{2} \varphi+\boldsymbol{y}^{2} \sec ^{2} \varphi=1 \) is \( 1 / 2, \) then \( \varphi \)
is
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 6 \)
c. \( \pi / 3 \)
D. \( 5 \pi / 12 \)
Subject: Physics
A body of mass \( 3 \mathrm{kg} \) is under a constant force which causes a displacement s in
metres in it,given by the relation \( s= \) \( \frac{1}{2} t^{2}, \) where \( t \) is in seconds. Work done
by the force in 2 seconds is:-
A \( \cdot \frac{5}{19} \)
в. \( \frac{3}{8} \) 」
\( c \cdot \frac{8}{3} \)
D. \( \frac{19}{5} \)
Subject: Maths
\( \left(4 l^{5}-6 l^{4}+8 l^{3}\right) \div 2 l^{2} \)
A \( \cdot\left(2 l^{2}-3 l+4\right) \)
B \( \cdot l\left(2 l^{2}-3 l+4\right) \)
c. \( l\left(2 l^{2}-3 l+3\right) \)
D. None
Subject: Chemistry
One gram of ice (at \( 0^{\circ} \mathrm{C} \) ) is mixed with
one gram of steam (at \( 100^{\circ} \mathrm{C} \) ). After
thermal equilibrium, the temperature of the mixture is
\( \mathbf{A} \cdot 0^{\circ} C \)
B . \( 100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 55^{\circ} C \)
D. \( 80^{\circ} \mathrm{C} \)
Subject: Biology
Which one of the following organisms is
correctly matched with its three
characteristics?
A. Pea- \( C_{3} \) -pathway, endospermic seed, vexillary aestivation
B. Tomato- twisted aestivation, axile placentation, berry
C. Onion- Bulb, Imbricate aestivation, axile placentation
D. Maize- \( C_{3} \) -pathWay, closed vascular bundle, scutellum
Subject: Maths
If a A.P. \( \& \) an H.P. have the same first
term, the same last term \& the same
number of terms; then the product of
the \( r^{t h} \) term from the beginning in one
series \( \& \) the \( r^{t h} \) term from the end in
the other is independent of \( r \)
If true enter 1 else enter 0
Subject: Maths
The distance between the lines \( 3 x+ \)
\( \mathbf{4} \boldsymbol{y}=\mathbf{9} \) and \( \mathbf{6} \boldsymbol{x}+\mathbf{8} \boldsymbol{y}-\mathbf{1 5}=\mathbf{0} \) is
\( A \cdot \frac{3}{10} \)
в. \( \frac{33}{10} \)
\( c \cdot \frac{33}{5} \)
D. none of these
Subject: Physics
Variation of resistance of the conductor
with temperature is as shown

The temperature co-efficient \( (\alpha) \) of the
conductor is
\( A \cdot \frac{R_{0}}{m} \)
В \( \cdot m R_{o} \)
\( \mathbf{c} \cdot m^{2} R_{o} \)
D. \( \frac{m}{R_{n}} \)
Subject: Chemistry
2 moles of \( A \& 3 \) moles of \( B \) are mixed in
litre vessel and the reaction is carried
at \( 400^{\circ} \mathrm{C} \) according to the equation; \( A+B \rightleftharpoons 2 C . \) The equilibrium constant
of the reaction is \( 4 . \) Find the number of
moles of \( C \) at equilibrium.
A. 2.4 mole
B. 2.8 mole
c. 3.2 mole
D. 3.7 mole
Subject: Physics
A boy can jump to a height \( h \) from ground on earth. What should be the
radius of a sphere of density \( \delta \) such that on jumping on it, he escapes out of the gravitational field of the sphere?
A. \( \sqrt{\frac{4 \pi G \delta}{3 g h}} \)
B. \( \sqrt{\frac{4 \pi g h}{3 G \delta}} \)
c. \( \sqrt{\frac{3 g h}{4 \pi G \delta}} \)
D. \( \sqrt{\frac{3 G \delta}{4 \pi g h}} \)
Subject: Physics
Select correct alternative:
Statement -1: Photoelectric effects
supports quantum nature of light because electronic charge of
the photoelectron is quantized.
Statement - 2 : The number of \( \boldsymbol{\alpha} \) and \( \boldsymbol{\beta} \)
238
particles emitted when \( \mathbf{9 2} \)
\( \mathbf{2 0 6} \)
into \( \quad P b \) is 6 and 8 \( \mathbf{8 2} \)
Statement - 3: If the angular
momentum of a system is constant in
magnitude then the torque (if any) acting on the system must be perpendicular to the angular momentum.
A. FFF
B. TFT
c. TFF
D. FFT
Subject: Chemistry
Column-
Column-II
(Atomic number of elements)
(IUPAC name)
(A) 105
(P) Uun
(В) 107
(Q) Uns
(C) 109
(R) Unp
(D) 110
(h)
(S) Une
The correct match for \( A, B, C, D \) are
respectively:
A \( . \) R, P, s,
в. Р, R, s,
c. R, Q, s, p
D. Q, R, s,
Subject: Physics
The mass \( 100 g \) and \( 300 g \) at a given time have velocities \( 10 \hat{i}-7 \hat{j}-3 \hat{k} \) and \( \mathbf{7} \hat{\mathbf{i}}-\mathbf{9} \hat{\mathbf{j}}+\mathbf{6} \hat{\boldsymbol{k}} \) respectively. Determine
velocity of \( \boldsymbol{C O} \boldsymbol{M} \)
Subject: Chemistry
\( p H \) of a dilute solution of \( H C l \) is 6.95
Calculate molarity of \( H C l \) solution. \( \left[\begin{array}{c}10^{-6.95}=11.22 \times 10^{-8} \\ 10^{-7.05}=8.90 \times 10^{-8}\end{array}\right] \)
Subject: Physics
The magnetic flux linked with a coil, in webers, is given by the equation \( \phi= \)
\( 8 t^{2}-3 t+5 . \) Then the magnitude of
induced emf at 4 sec will be
A . 15 v
B . \( -61 \mathrm{v} \)
c. 13 v
D. 21 v
Subject: Maths
Figure shows a square with total area of
121 square units. Calculate the value of
\( \boldsymbol{x} \)
\begin{tabular}{|c|c|}
\hline & \\
\( 7 x \) & 49 \\
\hline\( x^{2} \) & \( 7 x \) \\
\hline
\end{tabular}
\( A \)
B.
\( c \)
D. 1
\( E \)
Subject: Maths
A printer can print 54,000 pages in 24 hours. then the function \( f(x)=2,250 x \)
represents
A. The number of pages the printer can print in \( x \) days
B. The number of pages the printer can print in \( x \) hours
c. The number of days it takes the printer to print \( x \) pages
D. The number of hours it takes the printer to print \( x \) pages
Subject: Biology
Green house effect means
A. Increase in the temperature of earth due to high
concentration of \( \mathrm{NO}_{2} \)
B. Increase in the temperature of earth due to high concentration of \( \mathrm{SO}_{2} \)
C. Increase in the temperature of earth due to high concentration of CO
D. Increase in the temperature of earth due to high concentration of \( \mathrm{CO}_{2} \)
Subject: Physics
Calculate the pressure inside a small air bubble of radius \( r \) situated at a
depth \( h \) below the free surface of liquids
of densities \( \rho_{1} \) and \( \rho_{2} \) and surface
tension \( T_{1} \) and \( T_{2} . \) The thickness of the
first and second liquids are \( h_{1} \) and \( h_{2} \)
respectively. Take atmosphere pressure
\( =\boldsymbol{P}_{0} \)
\( ^{\mathrm{A}} \cdot P_{0}+\rho_{1} g h_{1}+\rho_{2} g\left(h-h_{1}\right)-\frac{2 T_{2}}{r} \)
в. \( P_{0}+\rho_{1} g h_{1}+\rho_{2} g\left(h-h_{1}\right)+\frac{2 T_{2}}{r} \)
c. \( \quad P_{0}-\rho_{1} g h_{1}+\rho_{2} g\left(h-h_{1}\right)+\frac{2 T_{2}}{r} \)
D. None of these
Subject: Maths
Solve in positive integers:
\( 5 x+2 y=53 \)
A. \( x=1,3,5,7,9 ; y=24,19,14,9,4 \)
В. \( x=2,4,6,8,10 ; y=23,20,13,8,3 \)
c. \( x=11,13,15,17,19 ; y=1,3,4,6,9 \)
D. None of these
Subject: Physics
Force between two identical bar
magnets whose centres are \( r \) metre
apart is \( 4.8 N \), when their axes are in
the same line. If separation is increased
to \( 2 r, \) the force between them is
reduced to.

This question has multiple correct options
A . \( 0.3 N \)
B. \( 0.6 N \)
c. \( 2.4 N \)
D. \( 1.2 N \)
Subject: Chemistry
In chemistry lab class, your teacher asks you to find magnesium oxide, \( M g O, \) to use in the experiment. When you go to the stockroom, you realized there is no magnesium oxide available. Which of the following would be the
most suitable replacement?
A. Sodium oxide, \( N a_{2} O \)
B. Calcium oxide, \( C a O \)
c. carbon dioxide, \( C O_{2} \)
D. silicon dioxide, \( S i O_{2} \)
Subject: Chemistry
Acetylene is a linear molecule is shown
by:
\( A \cdot \) its \( C \equiv C \) bond distance being \( 1.21 A^{0} \)
B. its \( C \) - H bond distance being \( 1.08 A^{0} \)
C . its \( \mathrm{H}-\mathrm{C} \) - \( \mathrm{C} \) bond angle being \( 180^{\circ} \)
D. All of the above
Subject: Chemistry
For the reaction; \( \mathbf{4} \boldsymbol{N} \boldsymbol{H}_{\boldsymbol{3}(\boldsymbol{g})}+\mathbf{5} \boldsymbol{O}_{\boldsymbol{2}(\boldsymbol{g})} \rightarrow \)
\( 4 N O_{(g)}+6 H_{2} O_{(g)}, \) the rate of reaction
in terms of disappearance of \( N H_{3} \) is \( -\frac{\boldsymbol{d}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]}{\boldsymbol{d} t}, \) then write the rate
expression in terms of concentration of
\( O_{2}, N O \) and \( H_{2} O \)
Subject: Physics
A ball is thrown vertically upwards from the top of a tower with a velocity of 10 \( \mathrm{m} / \mathrm{sec} . \) If the ball falls on the ground after 5 seconds, the height of the tower will be
\( \left(\text { use } g=10 m / s^{2}\right) \)
\( A \cdot 25 \mathrm{m} \)
B. 50 \( m \)
\( c \cdot 75 m \)
D. 100 \( m \)
Subject: Chemistry
According to the Bohr Theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon?
A \( n=5 \) to \( n=3 \)
3
в. \( n=6 \) to \( n=1 \)
c. \( n=5 \) to \( n=4 \)
D. \( n=6 \) to \( n=5 \)
Subject: Physics
A voltage of \( 1.1 \mathrm{V} \) is needed to stop the
photocurrent generated when a monochromatic light of wavelength
\( \lambda=4000 A \) is incident on it. Find the
work function of metal
\( A \cdot 2.3 \mathrm{ev} \)
B. 2 ev
c. 4.2 ev
D. None pf these
Subject: Biology
The delay in transmission from the
dorsal to the ventral root across the
spinal cord for the reflex pathways' \( A \) ', B', 'D' and 'C' respectively is 0.5 ms,1.0 \( \mathrm{ms}, 1.5 \mathrm{ms}, \) and \( 2.0 \mathrm{ms} \). Identify the correct option: (Average synaptic delay \( =0.5 \mathrm{ms} \)
A. A=monosynaptic, B=bisynaptic, C=trisynaptic
B. A=monosynaptic, B= trisynaptic, D=bisynaptic
c. A=monosynaptic, C=trisynap tic, D=quadrisynaptic
D. A=monosynaptic, D=trisynaptic, C=quadrisynaptic
Subject: Chemistry
Which of the following is diamagnetic?
\( A \)
\( \left[M n\left(H_{2} O\right)_{6}\right]^{2+} \)
в. \( \left[C u\left(H_{2} O\right)_{6}\right]^{3+} \)
c. \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+} \)
D. \( \left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+} \)
Subject: Chemistry
Which of the following reaction is correct for gaseous and reversible
reaction?
A \( \cdot \frac{K_{p}}{K_{c}}=(R T)^{\Delta n_{g}} \)
в. \( \frac{K_{p}}{K_{x}}=(p)^{\Delta n_{9}} \)
c. \( \frac{K_{C}}{K_{x}}=(p)^{-\Delta n_{g}} \)
D. None of the above
Subject: Maths
MN and MQ are tangents from a point \( \mathrm{M} \)
outside the given circle with center \( \boldsymbol{O} \)
If \( \angle N O Q=120^{\circ} \) then which of the
following rlations holds true:
A \( . N Q=M N=M Q \)
в. \( N Q=O M \)
c. \( O Q=O M \)
D. \( O N=M N \)
Subject: Physics
A rectangular coil of 500 turns and of
\( \operatorname{area} 6 \times 10^{-4} m^{2} \) is suspended inside a
radial magnetic field of induction
\( 10^{-4} T \) by a suspension wire of torsional constant \( 5 \times 10^{-10} N m \) per degree
Calculate the current required to
produce a deflection of \( 10^{\circ} \)
Subject: Physics
Add \( 3.8 \times 10^{-6} \) to \( 4.2 \times 10^{-5} \) with due
regard to significant figures.
\begin{tabular}{ll} 
A. \( 4.6 \times 10^{-5} \) & 5 \\
\hline
\end{tabular}
в. \( 4.6 \times 10^{-6} \)
c. \( 5.6 \times 10^{-6} \)
D. \( 6.6 \times 10^{-5} \)
Subject: Physics
A long solenoid with 40 turns per \( \mathrm{cm} \)
carries a current of \( 1 A . \) The magnetic
energy stored per unit volume is
\( \boldsymbol{J} / \boldsymbol{m}^{3} \)
A . \( 3.2 \pi \)
B. \( 32 \pi \)
c. \( 1.6 \pi \)
D. \( 6.4 \pi \)
Subject: Physics
Two plano-concave lenses of glass of refractive index 1.5 have radii of
curvatures \( 20 \mathrm{cm}, 30 \mathrm{cm} . \) They are placed in contact with curved surface towards each other and the space between them is filled with a liquid of
refractive index \( 4 / 3 . \) The focal length of
the system is :
\( \mathbf{A} \cdot 48 \mathrm{cm} \)
в. \( 72 \mathrm{cm} \)
\( \mathbf{c} \cdot 12 c m \)
D. \( 24 c m \)
Subject: Physics
A \( 1 \mu F \) capacitor is charged to 200 V and then connected in parallel (+ve to +ve) with a \( 4 \mu F \) capacitor charged to \( 100 \mathrm{V} \) The resultant potential difference is :
A. \( 120 \mathrm{V} \)
B. 60
c. \( 180 v \)
D. \( 150 \mathrm{v} \)
Subject: Chemistry
Given that for the reaction,
\( A g\left(N H_{3}\right)_{2}^{+} \rightleftharpoons A g^{+}+2 N H_{3}, \quad K_{c}= \)
\( 6.2 \times 10^{-8} \) and \( K_{s p} \) of \( A g C l=1.8 \times \)
\( 10^{-10} \) at \( 298 K . \) The concentration of the
complex ion in \( 1.0 ~ M \) aqueous ammonia is:
A. \( 0.0539 M \)
B. \( 0.0589 M \)
c. \( 0.0639 M \)
D. None of these