AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Given that mass of earth is \( M \) and its
radius \( R \) body is dropped from a height equal to the radius of the earth above
the surface of the earth. When it
reaches the ground velocity of body will be
\( ^{A} \cdot \frac{G M}{R} \)
\( ^{\text {В. }}\left(\frac{G M}{R}\right)^{1 / 2} \)
c. \( \frac{2 G M}{R} \)
\( ^{\mathrm{D} \cdot}\left(\frac{2 G M}{R}\right)^{1 / 2} \)
Subject: Physics
A block is placed on a rough floor and a
horizontal force \( \boldsymbol{F} \) is applied on it. The
force of friction \( \boldsymbol{f} \) by the floor on the
block is measured for different values
of \( F \) and a graph is plotted between
them.
This question has multiple correct options
A. The graph is a straight line of slope \( 45^{\circ} \)
B. The graph is a straight line parallel to the \( F \) -axis.
C. The graph is a straight line of slope \( 45^{\circ} \) for small \( F \) and a straight line parallel to the \( F \) -axis for large \( F \)
D. There is a small kink on the graph.
Subject: Physics
A glass slab has a length of \( 6 \mathrm{cm} \) and
refractive index \( 1.5 . \) One of the outer
surfaces of the slab is silvered and
object is placed at a distance of \( 10 \mathrm{cm} \)
from the other end. The image formed in
the mirror will be at a distance of
from the object
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 32 \mathrm{cm} \)
\( \mathbf{c} \cdot 28 c m \)
D. \( 38 c m \)
Subject: Chemistry
Froth floatation process used for the
concentration of sulphide ore:
This question has multiple correct options
\( \mathbf{A} \cdot \) is based on the difference in wettability of different minerals
B. uses sodium ethyl xanthate \( \left(C_{2} H_{5} O C S_{2} N a\right) \) as a collector
C. uses \( N a C N \) as depressant in the mixture of \( Z n S \) and \( P b S \) when \( Z n S \) forms soluble complex and \( P b S \) forms froth
D. uses pine oil as frothing agent
Subject: Chemistry
The hybridization of the central atom will change when:
A . \( N H_{3} \) combines with \( H^{+} \)
B. \( H_{3} B O_{3} \) combines with \( O H^{-} \)
c. \( N H_{3} \) forms \( N H^{\overline{2}} \)
D. \( H_{2} O \) combines with \( H^{+} \)
Subject: Chemistry
The species that can have a transisomer is:
\( (e n=\text { ethane }-1,2-\text { diamine, ox }= \) oxalate)
A \( \cdot\left(P t(e n) C l_{2}\right] \)
\( \mathbf{B} \cdot\left[C r(e n)_{2}(o x)\right]^{+} \)
c. \( \left[\left[Z n(e n) C l_{2}\right]\right. \)
D. \( \left[P t(e n)_{2} C l_{2}\right]^{2+} \)
Subject: Chemistry
How many \( N a^{+} \) ions are present in
\( 100 m L \) of \( 0.25 M \) of \( N a C l \) solution?
A. \( 0.25 \times 10^{23} \)
В. \( 1.505 \times 10^{22} \)
C. \( 15 \times 10^{22} \)
D. \( 2.5 \times 10^{23} \)
Subject: Physics
Two large vertical and parallel metal
plates having a separation of \( 1 \mathrm{cm} \) are
connected to a \( D C \) voltage source of
potential difference \( X . \) A proton is released at rest midway between the
two plates. It is found to move at \( 45^{\circ} \) to
the vertical JUST after release. Then \( \boldsymbol{X} \)
is nearly
A. \( 1 \times 10^{-5} V \)
В . \( 1 \times 10^{-7} V \)
c. \( 1 \times 10^{-9} V \)
D. \( 1 \times 10^{-10} V \)
Subject: Physics
The displacement \( x \) of a particle at time t is given by \( \boldsymbol{x}=\boldsymbol{A} \boldsymbol{t}^{2}+\boldsymbol{B} \boldsymbol{t}+\boldsymbol{C} \) where \( \boldsymbol{A} \)
B, \( C \) are constants and \( v \) is velocity of a particle, then the value of \( 4 A x-v^{2} \) is:
\( \mathbf{A} \cdot 4 A C+B^{2} \)
В. \( 4 A C-B^{2} \)
c. \( 2 A C-B^{2} \)
D. \( 2 A C+B^{2} \)
Subject: Maths
\( \operatorname{Given} \mathbf{3}\left[\begin{array}{cc}\boldsymbol{x} & \boldsymbol{y} \\ \boldsymbol{z} & \boldsymbol{w}\end{array}\right]=\left[\begin{array}{cc}\boldsymbol{x} & \boldsymbol{6} \\ -\mathbf{1} & \boldsymbol{2} \boldsymbol{w}\end{array}\right]+ \)
\( \left[\begin{array}{cc}4 & x+y \\ z+w & 3\end{array}\right], \) find the values of
\( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \) and \( \boldsymbol{w} \)
Subject: Physics
Assertion
On a vibrating bell, the bell will ring
continuously until the power is cut off.
Reason
These have to be mechanically
controlled
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
An infinite number of electric charges each equal to 2 nano coulombs in
magnitude are placed along \( x \) -axis at \( x=1 \mathrm{cm}, x=3, \quad x=9 \mathrm{cm}, x=27 \mathrm{cm} \)
and so on. In these setup if the consecutive charges have oppsoite \( \operatorname{sign}, \) then the electric potential at \( x=0 \) will be?
Subject: Maths
Calculate the amount and compound interest on
(a) \( R s \cdot 10,800 \) for 3 years at \( 12 \frac{1}{2} \% \) per annum compounded annually.
(b) \( R s .18,000 \) for \( 2 \frac{1}{2} \) years at \( 10 \% \) per annum compounded annually.
(c) \( R s .62,500 \) for \( 1 \frac{1}{2} \) years at \( 8 \% \) per annum compounded half yearly.
(d) \( R s .8,000 \) for 1 year at \( 9 \% \) per annum
compounded half yearly. (You could use the year by year calculating using SI formula to verify).
(e) \( R s .10,000 \) for 1 year at \( 8 \% \) per
annum compounded half yearly.
Subject: Physics
If the r.m.s. value of A.C. is \( l_{r m s} \) then peak
value is -
A \( \cdot \sqrt{2} l_{r m s} \)
B \( \cdot l_{r m s} / \sqrt{2} \)
\( \mathrm{c} \cdot 2 \sqrt{2} l_{m s} \)
D \( \cdot 2 l_{m s} \)
Subject: Physics
An infinite parallel plane sheet of a metal is charged to charge density \( \sigma \) coulomb per square metre in a medium of dielectric constant \( K . \) Intensity of electric field near the metallic surface
will be :
\( ^{\mathrm{A}} \cdot_{E}=\frac{\sigma}{\varepsilon_{0} K} \)
в. \( _{E}=\frac{\sigma}{2 \varepsilon_{0}} \)
\( ^{\mathrm{c}}=_{E}=\frac{\sigma}{2 \varepsilon_{\varepsilon} K} \)
D. \( _{E}=\frac{K \sigma}{2 \varepsilon_{0}} \)
Subject: Maths
Let \( \boldsymbol{A}=\{\boldsymbol{x}: \boldsymbol{x} \in \boldsymbol{N}, \mathbf{1}<\boldsymbol{x} \leq \mathbf{3}\} \) and
\( \boldsymbol{B}=\left\{\boldsymbol{y}: \boldsymbol{y}^{2}-\mathbf{5} \boldsymbol{y}+\boldsymbol{6}=\mathbf{0}\right\}, \) then
A \( . A \subset B \)
в. \( B \subset A \)
\( \mathbf{c} \cdot A=B \)
D. \( A \neq B \)
Subject: Chemistry
Which of the following hydrocarbons has the lowest dipole moment?
A. \( C H_{3} H C=C H C H_{3} \)
B. \( C H_{3} C \equiv C C H_{3} \)
c. \( C H_{3} C H_{2} C \equiv C H \)
D. \( C H_{2}=C H-C \equiv C H \)
Subject: Chemistry
\( O H^{-} \) lon concentration in a acidic
buffer solution is:
\( ^{\text {A } \cdot} \frac{K w[A]}{K a[S]} \)
в. \( \frac{K a[A]}{K w[S]} \)
c. \( \frac{K w[S]}{K a[A]} \)
D. \( \frac{K a[S]}{K w[A]} \)
Subject: Chemistry
Which one of the following statements is incorrect about rock salt type?
A . It has fcc arrangement of \( \mathrm{Na}^{-} \)
B. Nat and Cl-ions have a co-ordination number of 6: 6
c. A unit cell of \( N a C l \) consists of four \( N a C l \) units
D. All halides of alkali metals have rock-salt type structure
Subject: Maths
The median of a set of 9 distinct
observations is \( 20.5 . \) If each of the
largest 4 observations of the set is
increased by \( 2, \) then the median of new
set :
A. is increased by 2 .
B. is decreased by 2.
c. is two times the original median.
D. remains the same as that of the original set.
Subject: Physics
A uniform electric field of magnitude \( \mathbf{1 0 0} V / \boldsymbol{m} \) in space is directed along the
line \( y=3+x . \) Find the electric
potential difference between (1,3) and (3,1)
A. \( 100 V \)
в. \( 200 \sqrt{2} V \)
c. \( 200 V \)
D.
Subject: Chemistry
When \( \mathrm{CO}_{2} \) is passed into aqueous
This question has multiple correct options
\( \mathbf{A} \cdot \mathrm{Na}_{2} \mathrm{CrO}_{4} \) solution, its yellow colour changes to orange
B. \( \mathrm{K}_{2} \mathrm{MnO}_{4} \) solution, it disproportionates to \( \mathrm{KMnO}_{4} \) and
\( \mathrm{MnO}_{2} \)
\( \mathrm{C} \cdot \mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \) solution, its orange colour changes to green
D. \( \mathrm{KMnO}_{4} \) solution, its pink colour changes to green
Subject: Physics
\( \operatorname{Given} \overrightarrow{\boldsymbol{F}}=(4 \hat{\boldsymbol{i}}+10 \hat{\boldsymbol{j}}) \) and \( \overrightarrow{\boldsymbol{r}}=(5 \hat{\boldsymbol{i}}- \)
\( 3 \widehat{j}) . \) Then torque \( \tau \) is :
A. \( -62 \hat{j} \)
В. \( 62 \bar{k} \)
\( c .48 \hat{i} \)
\( \mathbf{D} \cdot-48 \widehat{k} \)
Subject: Maths
In the expression \( x y^{2}, \) the values of \( x \)
and \( y \) are each decreased \( 25 \% \); the
value of the expression is
A . Decreased 50\%
B. Decreased 75\%
c. Decreased \( 37 / 64 \) of its value
D. Decreased \( 77 / 64 \) of its value
E. None of these
Subject: Physics
If force \( \overrightarrow{\boldsymbol{F}}=4 \hat{\hat{\boldsymbol{i}}}+5 \hat{\boldsymbol{j}} \) and displacement
\( \vec{S}=3 \hat{i}+6 \hat{j} \) then the work done is
A \( .4 \times 3 J \)
B. \( 5 \times 6 \)
\( c \cdot 6 \times 3 \)
D. \( 4 \times 6 \)
Subject: Physics
Four different radioactive elements are
kept in separate containers. In the beginning the container \( A \) has 200 gatom with half-life of 2 days, \( B \) has 20
g-atom with half-life of 20 days, \( C \) has 2
g-atom with half-life 200 days and \( D \)
has 100 g-atoms with half-life of 10 days. In the beginning the maximum activity exhibited by the container is:
A. \( a \)
B. \( b \)
\( c \)
D. \( d \)
Subject: Chemistry
When \( H_{2} O_{2} \) is added to ice cold
solution of acidified potassium
dichromate in ether and the contents
are shaken and allowed to stand:
A. a blue colour is obtained in ether because of formation of \( C r O_{5} \)
B. a blue colour is obtained in ether because of formation of \( \mathrm{CrO}_{3} \)
c. a blue colour is obtained in ether because of formation \( \operatorname{of} C r_{2}\left(S O_{4}\right)_{3} \)
D. chromyl chloride is formed
Subject: Maths
Solve:det \( \left|\begin{array}{lll}\boldsymbol{x} & \boldsymbol{x}^{2} & \boldsymbol{y} \boldsymbol{z} \\ \boldsymbol{y} & \boldsymbol{y}^{2} & \boldsymbol{z} \boldsymbol{x} \\ \boldsymbol{z} & \boldsymbol{z}^{2} & \boldsymbol{x} \boldsymbol{y}\end{array}\right| \)
Subject: Physics
State what is meant by refraction of light. State Snell's law for refraction of
light and also express it mathematically. The refractive index of air with respect to glass is \( 2 / 3 \) and the refractive index
of water with respect to air is \( 4 / 3 . \) If the
speed of light in glass is \( 2 \times 10^{8} \mathrm{m} / \mathrm{s} \)
find the speed of light in (a) air, (b)
water
Subject: Physics
Suppose you want to negotiate a curve
with a radius of 50 meters and a bank
angle of 15 degrees. If the coefficient of friction between your tires and the
pavement is \( 0.50, \) what is the
maximum speed that you can safely use?
A. \( 30 \mathrm{m} / \mathrm{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( 21 \mathrm{m} / \mathrm{s} \)
D. \( 10 \mathrm{m} / \mathrm{s} \)
Subject: Physics
What will be the value of the magnetic field at the centre in the given figure? The coil is made of a uniform wire and
is connected with two long straight
wires. Assumes r is the radius of coil.
A \( \cdot \frac{\mu_{0}}{4 \pi}\left[\frac{i}{r}\right] \)
в. \( \frac{\mu_{0}}{4 \pi}\left[\frac{2 \pi i}{r}\right] \)
c. \( \frac{\mu_{0}}{4 \pi}\left[\frac{2 i}{r}+\frac{2 \pi i}{r}\right] \)
\( D \)
Subject: Chemistry
Two faraday of electricity is passed
through a solution of \( C u S O_{4} \). The mass
of copper deposited at the cathode is :
(at mass of \( \boldsymbol{C u}=\mathbf{6 3 . 5} \boldsymbol{u} \) ).
A. \( 127 g \)
в. \( 0 g \)
c. \( 63.5 g \)
D. \( 2 g \)
Subject: Maths
If the diagonals of a rhombus are \( 24 \mathrm{dm} \) and \( 10 \mathrm{dm}, \) then the perimeter of the rhombus will be
A. \( 68 \mathrm{dm} \)
B. 60 dm
\( c .52 \mathrm{dm} \)
D. 50 dm
Subject: Physics
The isothermal elasticity of a medium
is \( E_{i} \) and the adiabatic elasticity is \( E_{a} \)
The velocity of the sound in the medium is proportional to:
A \( \cdot \sqrt{E_{i}} \)
в. \( E_{a} \)
\( \mathrm{c} \cdot \sqrt{E_{a}} \)
D. \( E_{i} \)
Subject: Chemistry
\( o \)
The molecules \( \boldsymbol{C} \boldsymbol{H}_{3}-\stackrel{\|}{\boldsymbol{C}}-\boldsymbol{C} \boldsymbol{H}_{2}-\stackrel{\boldsymbol{V}}{\boldsymbol{C}}- \)
\( \boldsymbol{O}-\boldsymbol{C}_{2} \boldsymbol{H}_{3} \)
\( \begin{array}{cc}\boldsymbol{O H} & \boldsymbol{o} \\ \text { and } \boldsymbol{C H}_{3}-\dot{\boldsymbol{C}}=\boldsymbol{C H}-\stackrel{\|}{\boldsymbol{C}}-\boldsymbol{O}-\end{array} \)
\( C_{2} H_{5} \) are:
A. geometrical isomers
B. tautomers
c. diastereomers
D. metamers
Subject: Physics
Assertion
In case of bullet fired from gun, the ratio of kinetic energy of gun and bullet is equal to ratio of mass of bullet and gun.
Reason
In firing, momentum is conserved.
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: Chemistry
If an electron jumps from orbit \( A \) to
orbit \( B \) it loses energy while when it jumps from \( C \) to \( B \) it gains energy.
Arrange the orbits in the increasing order of distance from the nucleus.
A. \( A<B<C \)
B. \( C<A<B \)
c. \( C<B<A \)
D. \( A<C<B \)
Subject: Maths
\( P(x, y) \) is a point on a straight line which makes intercepts a and b on the
\( x, y \) axes respectively, then the minimum value of \( x^{2}+y^{2}= \)
A \( \cdot \frac{a^{2}+b^{2}}{a^{2} b^{2}} \)
B. \( \frac{a^{2}-b^{2}}{a^{2}+b^{2}} \)
c. \( \frac{a^{2}-b^{2}}{2\left(a^{2}+b^{2}\right)} \)
D. \( \frac{\mathrm{a}^{2} b^{2}}{\left(\mathrm{a}^{2}+b^{2}\right)} \)
Subject: Maths
Find the value of \( \lim _{x \rightarrow 0} \frac{\sqrt{2+x}-\sqrt{2-x}}{x} \)
\( ^{\mathrm{A}} \cdot \frac{1}{2 \sqrt{2}} \)
B. \( \sqrt{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D.
Subject: Physics
If 'n' identical water drops assumed spherical each charged to a potential energy U coalesce to a single drop, the potential energy of the single drop is:
(Assume that drops are uniformly charged).
A \( \cdot n^{2 / 3} U \)
B . \( n^{3 / 2} U \)
c. \( n^{4 / 3} U \)
\( \mathbf{D} \cdot n^{5 / 3} U \)
Subject: Chemistry
The correct statement(s) pertaining to
the adsorption of a gas on a solid surface is(are):
(i) adsorption is always exothermic.
(ii) physisorption may transform into chemisorption at high temperature.
(iii) physisorption increases with increasing temperature but chemisorption decreases with increasing temperature
(iv) chemisorption is more exothermic than physisorption, however, it is very slow due to the higher energy of
activation.
A. (i) and (iv) only
B. (ii) and (iii) only
c. (i), (ii) and (iv) only
D. All of these
Subject: Chemistry
Assertion
A \( 30 \% \) solution of \( H_{2} O_{2} \) is marketed as
100 volume' hydrogen peroxide.
Reason
1 L of \( 30 \% \) H \( _{2} \) O \( _{2} \) will give 100 mL of
oxygen at STP.
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
An object placed at a distance of \( 16 \mathrm{cm} \) from first principal focus of convex lens, produces a real image at a distance of \( 36 \mathrm{cm} \) from its second principal focus
Then the focal length of the lens is :
\( \mathbf{A} \cdot 9 c m \)
B. \( 25 \mathrm{cm} \)
\( \mathbf{c} \cdot 24 c m \)
D. \( 17 \mathrm{cm} \)
Subject: Chemistry
1.0 \( \mathrm{ml} \) of a solution of \( \mathrm{H} C l \) with a \( p H \) of
4.0 is added it to \( 9.0 \mathrm{ml} \) of distilled
water, the \( p H \) of the final solution will
be:
A. The pH would remain unchanged.
B. The pH would rise to 5.5
c. The pH would rise to 5.0
D. The pH would be unmeasurable due to the amount of dilution
E. The pH would rise to 7.0
Subject: Chemistry
\( \boldsymbol{F} \boldsymbol{e}_{2}(\boldsymbol{C} \boldsymbol{O})_{9} \) is diamagnetic. Which of the
following reason is correct?
A. Presence one \( C O \) as bridge group
B. Presence of monodenate ligand
c. Metal-metal (Fe - Fe) bond in molecular
D. Resonance of \( C O \)
Subject: Physics
Which of the following is NOT true for
supernova?
A. A supernova is stellar explosion.
B. Supernova can produce elements like titanium, iron, cobalt and nickel.
C. The Sun is likely to become a supernova.
D. The core collapse that causes some supernovas may result in the formation of a black hole remnant.
E. Supernovas can outshine an entire galaxy for a brief period of time.
Subject: Physics
A mass of \( 10 \mathrm{kg} \) is suspended vertically by a rope from the roof. when a horizontal force is applied on the rope at same points, the rope deviated at an
angle of \( 45^{0} \) at the roof point. if the
suspended mass is at equilibrium, the
magnitude of the force applied is \( (g= \)
\( \left.10 m s^{-2}\right) \)
A . 200 N
B. 100 N
c. 70
D. 140 N
Subject: Chemistry
Given:
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) ; K_{1} \)
\( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g), K_{2} \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) ; \boldsymbol{K}_{3} \)
The equilibrium constant for \( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g})+\frac{5}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}(\boldsymbol{g})+ \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{g}) \) will be:
A. \( K_{1} \)К 2 Кз
B. \( \frac{K_{1} K_{2}}{K_{3}} \)
c. \( \frac{K_{K} K_{3}^{2}}{K_{2}} \)
D. \( \frac{K_{2} K_{3}^{3}}{K_{1}} \)
Subject: Maths
A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 seconds after it is dropped.
Assume that the stone falls \( 16 t^{2} m \) in \( t \)
seconds and that the velocity of sound
is 1,120 per second. The depth of the well is:
\( \mathbf{A} \cdot 784 \mathrm{m} \)
в. \( 342 \mathrm{m} \)
\( c .1568 \mathrm{m} \)
D. \( 156.8 \mathrm{m} \)
E. none of these
Subject: Maths
If \( x \) belongs to a set of integers, \( A \) is the
solution set of \( 2(x-1)<3 x-1 \) and \( B \)
is the solution set of \( 4 x-3 \leq 8+x \)
then find \( A \cap B \)
A \( \cdot\{0,1,2\} \)
в. \{1,2,3\}
\( \mathbf{c} \cdot\{0,1,2,3\} \)
D \cdot \{0,2,4\}
Subject: Chemistry
Assertion
Positive catalysts lower the activation energy of the reaction whereas heat of reaction remains same.
Reason
Heat of reaction is equal to the difference between activation energies for forward and the backward reactions.
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
Subject: Chemistry
At low pressure, the graph of \( \boldsymbol{P} \boldsymbol{V} \boldsymbol{v} \boldsymbol{s} \frac{\mathbf{1}}{\boldsymbol{V}} \)
for a given amount at a constant temperature for a real gas is
A. straight line parallel to x-axis
B. straight line having positive intercept and negative slope
c. straight line passing through origin having positive slope
D. none of the above
Subject: Physics
Which is the correct formula for
calculating the power lost due to eddy currents per unit mass for a thin sheet
or wire?? Where \( P \) is the power lost per
unit mass \( (W / k g), B_{p} \) is the peak
magnetic field \( (T), d \) is the thickness of the sheet or diameter of the wire \( (\boldsymbol{m}), \boldsymbol{f} \)
is the frequency \( (H z), k \) is a constant equal to 1 for a thin sheet and 2 for a
thin wire
\( ^{\mathrm{A}} \cdot_{P}=\frac{\pi^{2} B_{p}^{2} d^{2} f^{2}}{6 k \rho D} \)
в. \( \quad P=\frac{\pi^{2} B_{p}^{2} d^{2} f}{k \rho D} \)
\( ^{\mathrm{C}} P=\frac{\pi^{2} B_{p}^{2} d^{2} f^{2}}{6 k \rho D^{3}} \)
D. \( P=\frac{\pi^{2} B_{p}^{2} d^{2} f}{6 k \rho D^{2}} \)
Subject: Biology
What correctly defines mycorrhiza?
A. Plants that have no vascular tissue.
B. Nitrogen fixing bacteria that live in nodules on the roots of legumes.
C. Primitive plants like mosses, which show a dominant gametophyte stage.
D. Vascular bundles in the stems of tracheophytes.
E. Symbiotic structures living in the roots of plants that increase uptake of nutrients from the soil.
Subject: Physics
Two cohorent monochromatic light beams of intensities \( 4 \mid \) and 9 I interfere
in a Young's double slit experimental setup to produce a fringe pattern on the screen. The phase difference between
the beams at two points \( P \) and \( Q \) on the
screen are \( \pi / 2 \) and \( \pi / 3 \) respectively.
Then the ratio of the two intensities
\( \boldsymbol{I}_{\boldsymbol{P}} / \boldsymbol{I}_{Q} \) is
A. 0
в. \( \frac{6}{19} \)
c. \( \frac{13}{19} \)
D. \( \frac{6}{13} \)
Subject: Physics
At \( t=0, \) when the magnetic field is
switched on tehe conducting rod is moved to the left at constant speed
\( 5 c m / s \) by some external means. At \( t= \)
\( 2 s, \) net induced emf has magnitude
A . \( 0.12 V \)
B. \( 0.08 V \)
c. \( 0.04 V \)
D. \( 0.02 V \)
Subject: Chemistry
The electron configuration for \( C u \) is \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} 3 d^{10} \)
How many inner core electrons does
copper contain?
\( \mathbf{A} \cdot \mathbf{1} \)
B . 10
c. 18
D. 28
Subject: Physics
A charged dust particle of radius \( 5 \times \) \( 10^{-7} \mathrm{m} \) is located in a horizontal
electric field having an intensity of \( 6.28 \times 10^{5} v / m . \) The surrounding
medium is air with coefficient of
viscosity \( \boldsymbol{\eta}=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{5}} \mathbf{N S} / \mathbf{m}^{2} . \) If the
particle has a charge of \( 7.2 \times 10^{-15} \)
then it moves with a uniform horizontal
speed of
A . 10
в. 20
\( c .30 \)
D. 40
Subject: Chemistry
How will you distinguish between fire
extinguishing action of water and \( C O_{2} \)
\( ? \)
A. Water helps to extinguish a fire in two ways: (1) It brings the temperature of the combustible material below its ignition temperature.
(2) The water vapour formed due to the heat of fire cuts the supply of oxygen.
B. Carbon dioxide is highly volatile. So, it immediately vaporises to cut off the supply of air. In the absence of supporter of combustion, fire is extinguished.
\( c . \) Both \( A \) and \( B \)
D. None of the above
Subject: Physics
Thread is massless. On applying force \( F \)
KE increases by \( 20 \mathrm{J} \) in \( 1 \mathrm{s} \)
A. tension in the string is \( \mathrm{Mg} \)
B. the tension in the string is \( F \)
c. work done by the tension in 1 s is 20 J
D. the work done by the force of gravity is 20 Jin
Subject: Maths
Let \( A, G \) and \( H \) be the \( A M, G M \) and \( H M \)
of two positive numbers a and b. The
quadratic equation whose roots are \( \boldsymbol{A} \)
and \( H \) is
This question has multiple correct options
\( \mathbf{A} \cdot A x^{2}-\left(A^{2}+G^{2}\right) x+A G^{2}=0 \)
B \( \cdot A x^{2}-\left(A^{2}+H^{2}\right) x+A H^{2}=0 \)
\( \mathbf{C} \cdot H x^{2}-\left(H^{2}+G^{2}\right) x+H G^{2}=0 \)
D. \( G x^{2}-\left(H^{2}+G^{2}\right) x+G H^{2}=0 \)
Subject: Physics
If two balls each of mass \( 0.06 \mathrm{Kg} \)
moving in opposite directions with speed \( 4 \mathrm{m} / \mathrm{sec} \) collides and rebound
with the same speed,then coefficient of restitution for the collision will be:-
\( A \cdot \frac{1}{4} \)
B.
\( c \)
D.
Subject: Physics
The magnetic field in the cylindrical region shown in figure increases at a
constant rate of \( 10.0 m T s^{-1} \). Each side
of the square loop abcd and defa has a
length of \( 20.0 \mathrm{cm} \) and a resistance of
\( 2.00 \Omega . \) Correctly match the current in
the wire \( a d \) in four different situations
as listed in column I with the values
given in column II.