AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
An object moves with constant acceleration a. Which of the following expressions are also constant?
A \( \cdot \frac{d v \mid}{d t} \)
в. \( \mid \frac{d v}{d t} \)
c. \( \frac{d\left(v^{2}\right)}{d t} \)
D. \( \frac{d\left(\frac{v}{|v|}\right)}{d t} \)
Subject: Chemistry
The standard reduction potential of
\( E_{B i^{3+} / B i}^{o} \) and \( E_{C u^{2+} / C u}^{o} \) are \( 0.226 \mathrm{V} \) and
\( 0.344 \mathrm{V} \) respectively. A mixture of salts of Bi and Cu at unit concentration each
is electrolysed at \( 25^{\circ} \mathrm{C} \). To what value
\( \operatorname{can}\left[C u^{2+}\right] \) be brought down before bismuth starts to deposit during electrolysis?
В. \( 10^{-3} M \)
c. \( 10^{-5} M \)
D. \( 10^{-2} M \)
E \( \cdot 10^{-6} M \)
F. \( 10^{-1} M \)
G. \( 10^{-7} M \)
Subject: Maths
If \( \tan ^{2} \theta=\left(1-e^{2}\right) \) then \( \sec \theta+ \)
\( \tan ^{3} \theta \operatorname{cosec} \theta \) is equal to
A \( \cdot\left(2+e^{2}\right)^{\frac{3}{2}} \)
B. \( \left(2-e^{2}\right)^{\frac{3}{2}} \)
c. \( \left(1-e^{2}\right)^{\frac{3}{2}} \)
D. \( \left(1+e^{2}\right)^{\frac{3}{2}} \)
Subject: Physics
A uniform plate of area \( 10 \mathrm{cm}^{2} \) is placed on a horizontal surface coated with an
oil layer of thickness \( 5 \mathrm{mm} \). The force
that must be applied horizontally on the plate to move it with a speed of \( 5 \mathrm{cm} / \mathrm{s} \) is
\( \mathbf{A} \cdot 3 \times 10^{-2} N \)
В. \( 2.5 \times 10^{-2} N \)
c. \( 2 \times 10^{-2} N \)
D. \( 1.5 \times 10^{-2} N \)
Subject: Physics
The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If
the relative errors in measuring the mass and length are respectively \( 1.5 \% \) and \( 1 \% \), the maximum error in
determining the density is?
A . \( 2.5 \% \)
в. \( 3.5 \% \)
c. \( 4.5 \% \)
D. \( 6 \% \)
Subject: Maths
If \( c \) is the middle point of \( A B \) and \( P \) is any point outside \( A B \) then
\( \mathbf{A} \cdot \overrightarrow{P A}+\overrightarrow{P B}=\overrightarrow{P C} \)
в . \( \overrightarrow{P A}+\overrightarrow{P B}=2 \overrightarrow{P C} \)
c. \( \overrightarrow{P A}+\overrightarrow{P B}+\overrightarrow{P C}=0 \)
D \( \cdot \overrightarrow{P A}+\overrightarrow{P B}+2 \overrightarrow{P C}=0 \)
Subject: Physics
A sphere of mass m moving with a constant velocity hits another
stationary sphere of the same mass. If \( e \) is the coefficient of restitution, then ratio of velocities of the two spheres after collision will be:
A \( \cdot \frac{(1-e)}{(1+e)} \)
в. \( \frac{(1+e)}{(1-e)} \)
c. \( \frac{(e-1)}{(e-1)} \)
D. \( \frac{(e+1)}{(e-1)} \)
Subject: Physics
A disc of radius \( 0.1 ~ m \) rolls without
sliding on a horizontal surface with a velocity of \( 6 m / s^{-1} \). Then, it ascends a
smooth continuous track as shown in
the figure. Given, \( g=10 m s^{-1}, \) the
height up to which it will ascend is
\( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
A \( .2 .4 n \)
в. 0.9 т
\( c .2 .7 m \)
D. \( 1.8 \mathrm{m} \)
Subject: Physics
Two cars are moving in the same
direction with the same speed of
\( 30 k m / h r . \) They are separated by \( 5 k m \) What is the speed of car moving in the opposite direction if it meets the two
cars at an interval of 4 minute:
A. \( 45 k m / h r \)
в. \( 60 k m / h r \)
c. \( 105 k m / h r \)
D. None
Subject: Physics
A particle is falling freely under gravity.
In first \( t \) second it covers distance \( x_{1} \)
and in the next \( t \) second it covers
distance \( x_{2}, \) then \( t \) is given by
A. \( \sqrt{\frac{x_{2}-x_{1}}{g}} \)
B. \( \sqrt{\frac{x_{2}+x_{1}}{g}} \)
c. \( \sqrt{\frac{\left(x_{2}-x_{1}\right)}{2 g}} \)
D. \( \sqrt{\frac{\left(x_{2}+x_{1}\right)}{g}} \)
Subject: Maths
The point on the curve \( x y^{2}=1 \) which is
nearest to the origin is
A. (1,1)
) 1
в. (1,-1)
c. \( \left(4, \frac{1}{2}\right) \)
D. \( \left(\frac{1}{2^{\frac{1}{3}}}, 2^{\frac{1}{6}}\right) \)
Subject: Physics
The electric potential at a point
situated at a distance r on the axis of a
short electric dipole of moment p will be
\( \mathbf{1} / \mathbf{4}\left(\boldsymbol{\pi} \varepsilon_{\mathbf{0}}\right) \) times
\( A \cdot p / r^{3} \)
B. plre
\( c \cdot p / r \)
D. none of the above
Subject: Chemistry
The amount of energy when a million atoms of iodine are completely
converted into \( I^{-} \) ions in the vapor
state according to the equation, \( \boldsymbol{I}_{(g)}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{I}_{(g)}^{-} \) is \( 4.9 \times 10^{-13} \mathrm{J} . \) What
would be the electron gain enthalpy of
iodine in terms of \( k J \) mol \( ^{-1} \) and \( e V \) per
atom?
\( \mathbf{A} \cdot 295,3.06 \)
в. -295,-3.06
C .439,5.09
D. -356,-7.08
Subject: Physics
A convex lens of focal length \( 30 \mathrm{cm} \). is
made of a material of refractive index 3
When it is placed in a liquid its focal length is increased by \( 50 \mathrm{cm} . \) The refractive index of the liquid is
A \( \cdot \frac{5}{4} \)
B. \( \frac{4}{3} \)
\( c \cdot \frac{7}{4} \)
D. \( \frac{6}{5} \)
Subject: Chemistry
A volume of 50 lof dry \( N_{2} \) is passed
through \( 36 g \) of water at 300 K. After
passage of gas, there is a loss of 1.20 g in water. The vapour pressure of water at \( 300 \mathrm{K} \) is?
в. \( 24.96 \mathrm{mm} \) Н \( \mathrm{g} \)
c. \( 16.05 \mathrm{mm} \) нв
D. \( 38.73 \mathrm{mm} \) Hg
Subject: Physics
In outer space there are 10 molecules
per \( \mathrm{cm}^{3} \) on an average and the
temperature there is 3 K. The average
pressure of this light gas is
\( \mathbf{A} \cdot 10^{5} N m^{-2} \)
В. \( 5 \times 10^{-14} \mathrm{Nm}^{-2} \)
c. \( 0.4 \times 10^{-16} N m^{-2} \)
D. \( 4.14 \times 10^{-16} \mathrm{Nm}^{-2} \)
Subject: Chemistry
Which one is the correct statement?
\( \mathbf{A} \cdot(+) \) tartaric acid and meso tartaric acid are tautomers
B. \( (+) \) tartaric acid and meso tartaric acid are diastereoisomers
C. \( (+) \) tartaric acid and \( (-) \) tartaric acid are diastereoisomers
D. \( (+) \) tartaric acid and meso tartaric acid are
enantiomers
Subject: Chemistry
Which of the following is the correct
form of Schrodinger wave equation?
A \( \cdot \frac{\partial^{2} \Psi}{\partial^{2} x}+\frac{\partial^{2} \Psi}{\partial^{2} y}+\frac{\partial^{2} \Psi}{\partial^{2} z}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \)
B \( \cdot \frac{\partial^{2} \Psi}{\partial x^{2}}+\frac{\partial^{2} \Psi}{\partial y^{2}}+\frac{\partial^{2} \Psi}{\partial z^{2}}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \)
C \( \cdot \frac{\partial \Psi^{2}}{\partial x^{2}}+\frac{\partial \Psi^{2}}{\partial y^{2}}+\frac{\partial \Psi^{2}}{\partial z^{2}}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \)
D \( \cdot \frac{\partial^{2} \Psi}{\partial x^{2}}+\frac{\partial^{2} \Psi}{\partial y^{2}}+\frac{\partial^{2} \Psi}{\partial z^{2}}+\frac{8 \pi^{2} m^{2}}{h^{2}}(E-V) \Psi=0 \)
Subject: Biology
The following diagram shows a protein coding DNA and specifies the positions of its translational start and stop
signals
\( 5^{\prime} . . . . . . . . \mathrm{G} \mathrm{AT} \ldots . . . . . . . \)
Which of the following statements with
regard to template strand for the RNA
polymerase and the C-terminus of the
resulting protein is true?
A. Upper is template strand, carboxy terminus of protein to right.
B. Upper is template strand, carboxy terminus of protein to left
C. Lower is temperate stand, carboxy terminus of protein to right.
D. Lower is template strand, carboxy terminus of protein to left.
E. Either strand could be a template on basis of this information
Subject: Chemistry
Assertion
Alkali metals cannot be prepared by electrolysis of their chlorides in
aqueous solution.
Reason
Reduction potentials of alkali metal
cations is much lower than that of \( \boldsymbol{H}^{+} \)
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
Compound with the geometry square pyramidal and \( s p^{3} d^{2} \) hybridisation is:
A \( . \quad X e O F_{2} \)
в. \( X e O F_{4} \)
\( \mathbf{c} \cdot X e O_{4} \)
D. \( X e O_{2} F_{2} \)
Subject: Physics
The field \( B \) at the centre of a circular coil
of radius \( r \) is \( \pi \) times that due to a long
straight wire at a distance \( r \) from it for
equal currents. The figure shows three cases. In all cases the circular part has
radius \( r \) and straight ones are infinitely
long. For same current, the field \( B \) at the centre \( P \) in cases 1,2,3 has the ratio:
\( ^{\mathbf{A}} \cdot\left(-\frac{\pi}{2}\right): \frac{\pi}{2}:\left(\frac{3 \pi}{4}-\frac{1}{2}\right) \)
B \( \cdot\left(-\frac{\pi}{2}+1\right):\left(\frac{\pi}{2}+1\right):\left(\frac{3 \pi}{4}-\frac{1}{2}\right) \)
\( \mathbf{C} \cdot-\frac{\pi}{2}: \frac{\pi}{2}: \frac{3 \pi}{4} \)
D \( \cdot\left(-\frac{\pi}{2}-1\right):\left(\frac{\pi}{4}+\frac{1}{4}\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right) \)
Subject: Physics
Let a star be much brighter than our
sun but its mass is same as that of sun
If our earth has average life span of a man as 70 years, then on earth like
planet of this star system at double the distance between our earth and sun will
have an average life span of a man as
A. 25 planet years
B. 20 planet years
c. 70 planet years
D. 15 planet years
Subject: Chemistry
Which of the following statements is
not correct for the periodic
classification of elements?
A. The properties of elements are the periodic functions of their atomic numbers.
B. Non - metallic elements are lesser in number than
metalic elements
C. The first ionization energies of elements along a period do not vary in regular manner with increase in atomic number
D. For transition elements, the d-sub shells are filled with electrons monotonically with increase in atomic number.
Subject: Maths
Divide the polynomial \( p(x) \) by the
polynomial \( p(g) \) and find the quotient
an in each of the following:
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{5} \boldsymbol{x}-\boldsymbol{3}, \boldsymbol{g}(\boldsymbol{x})= \)
\( x^{2}-2 \)
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{4}-\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{4} \boldsymbol{x}+\mathbf{5}, \boldsymbol{g}(\boldsymbol{x})= \)
\( \boldsymbol{x}^{2}+\mathbf{1}-\boldsymbol{x} \)
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{4}-\boldsymbol{5} \boldsymbol{x}+\boldsymbol{6}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{2}-\boldsymbol{x}^{2} \)
Subject: Physics
An elliptical cavity is carved out in a
perfect conductor. A positive charge q is placed at the centre of the cavity. The points \( A \) and \( B \) are shown in figure. Then
This question has multiple correct options
A. electric field near A in the cavity = electric field near in the cavity
B. charge density at \( A= \) charge density at \( B \)
C. potential at \( A= \) potential at \( B \)
D. total electric field flux through the surface of the cavity \( =\frac{q}{\varepsilon_{0}} \)
Subject: Maths
\( \int_{0}^{\frac{\pi}{2}} \frac{\sin ^{3} x}{\sin x+\cos x} d x \) is equal to?
A \( \cdot \frac{\pi}{4}-\frac{1}{4} \)
B. \( \frac{\pi}{4}+\frac{1}{4} \)
c. \( \frac{\pi}{4}+\frac{1}{2} \)
D. \( \frac{\pi}{4}-\frac{1}{2} \)
Subject: Maths
Positive integer \( y \) is 50 percent of 50
percent of positive integer \( \boldsymbol{x}, \) and \( \boldsymbol{y} \)
percent of \( x \) equals 100 . What is the
value of \( x ? \)
A . 50
в. 100
\( c \cdot 200 \)
D. 1000
E . 2000
Subject: Chemistry
The lonisation potential of Hydrogen is \( 2.17 \times 10^{-11} \) erg/atom. The energy of
the electron in the second orbit of the
hydrogen atom is?
A. \( -\frac{2.17 \times 10^{-11}}{2} \)
В. \( -\frac{2.17 \times 10^{-11}}{2^{2}} \)
c. \( -\frac{2.17 \times 10^{-7}}{2^{2}} \)
D. \( -\frac{2.17 \times 10^{11}}{2^{2}} \)
Subject: Maths
The maximum value of \( \left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \cos 2 x \\ \sin ^{2} x & 1+\cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & \cos ^{2} x & 1+4 \sin 2 x\end{array}\right| \)
\( A \)
B.
\( c .5 \)
\( D \)
Subject: Physics
The internal energy of a diatomic gas us
given as \( U=U_{0} V, \) where \( U_{0} \) is a
constant. Molar heat capacity of gas is
A \( \cdot \frac{5}{2} R \)
в. \( \frac{7}{2} R \)
c. \( \frac{9}{2} R \)
D. \( \frac{3}{2} R \)
Subject: Physics
Assertion
In meter bridge experiment, a high resistance is always connected in
series with a galvanometer.
Reason
As resistance increases, current
through the circuit increases.
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 machine gun is mounted on an armored car moving with a speed of \( 20 \mathrm{ms}^{-1} . \) The gun can point aqainst
the direction of motion of car.

The muzzle speed of bullet is equal to
speed of sound in air i.e., \( 340 \mathrm{ms}^{-1} \). The
time difference between bullet actually reaching and sound of firing reaching at a target \( 544 \mathrm{m} \) away from car at the instant of firing is:
A . \( 1.2 \mathrm{s} \)
B. \( 0.1 \mathrm{s} \)
\( c \cdot 1 s \)
D. 10 s
Subject: Physics
The measured mass and volume of a
body are \( 53.63 g \) and \( 5.8 \mathrm{cm}^{3} \) respectively, with possible errors of \( 0.01 g \) and \( 0.1 \mathrm{cm}^{3} . \) The
maximum percentage error in density is about:
A . \( 0.2 \% \)
в. \( 1.74 \% \)
c. \( 5 \% \)
D. \( 10 \% \)
Subject: Maths
If \( \boldsymbol{x}=\mathbf{9}^{\frac{1}{3}} \mathbf{9}^{\frac{1}{9}} \mathbf{9}^{\frac{1}{27}} \dots \dots \infty, \boldsymbol{y}= \)
\( \mathbf{4}^{\frac{1}{3}} \mathbf{4}^{\frac{-1}{9}} \mathbf{4}^{\frac{1}{27}} \ldots . \infty, \) and \( \boldsymbol{z}=\sum_{r=1}^{\infty}(\mathbf{1}+\boldsymbol{i})^{-\boldsymbol{r}} \)
then \( \arg (x+y z) \) is equal to
A.
B・tan" \( ^{-1}\left(\frac{\sqrt{2}}{3}\right) \)
c. \( -\tan ^{-1}\left(\frac{\sqrt{2}}{3}\right) \)
\( D \cdot-\tan ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
Subject: Maths
Fill up the table on finding complementary angle of given angle:
\( \begin{array}{ll}\text { Angle }-1 & \text { Angle }-2 \\ \text { 500 }\end{array} \)
(1)
\( 50^{\circ} \) 1
一较 - (1) and
(2) , a \( - \) \( - \) \( 63^{\circ} \)
(3) an \( 47^{\circ} \) and \( - \) (4) (i)
(5)
(6) " \begin{tabular}{ll}
\( 47^{\circ} \) & \( - \) \\
\( 56^{\circ} \) & \( 12^{\circ} \) \\
\hline & \\
\( 67^{\circ} \) & \\
\hline
\end{tabular} "of
Subject: Chemistry
Which of the following pair of species is not isostructural?
A. \( K r F_{2}, I C l_{2} \)
в. \( S O_{3}, S O_{3}^{2} \)
c. \( C O_{3}^{2-}, B O_{3}^{3} \)
D. \( \operatorname{si} O_{4}^{4-}, I O_{4} \)
Subject: Chemistry
The equilibrium mixture for the
reaction \( \boldsymbol{C O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \rightleftharpoons \boldsymbol{C} \boldsymbol{O}_{2(g)}+ \)
\( \boldsymbol{H}_{2(g)} \) contains 2,3,4,6 moles
respectively at \( 500 \mathrm{K} \) in a 2 litre vessel. Now this mixture is transferred in a 4 lit
vessel. What is the new equilibrium constant?
\( A \cdot 4 \)
B. 2
c. 8
D. 6
Subject: Maths
In the figure 0 is the centre of the circle. The tangents at \( \mathrm{B} \) and \( \mathrm{D} \) intersect each other at point P. If AB is parallel to CD and \( \angle A B C=55^{\circ} \) Find (i) \( \angle B O D \) (ii)
\( \angle B P D \)
Subject: Physics
A capacitor of capacitance \( C \) has initial
charge \( Q_{0} \) and connected to an
inductance \( L . \) At \( t=0 \) switch \( S \) is
closed. The current through the inductor when energy in the capacitor is three times the energy of the inductor is :
A \( \cdot \frac{Q_{0}}{2 \sqrt{L C}} \)
в. \( \frac{Q_{0}}{\sqrt{L C}} \)
c. \( \frac{2 Q_{0}}{\sqrt{L C}} \)
D. \( \frac{4 Q_{0}}{\sqrt{L C}} \)
Subject: Physics
Match the elements of the List-I to the
elements of List-II.
List - List - II
a) static friction
e) less friction
b) angle of repose
f) self-adjusting force
c) lubrication
g) non-conservative force
d) frictional force
h) angle of friction
\( A \cdot a-f ; b-h ; c-e ; d-g \)
B. a-e;b-g;c-h;d-f
c. \( a-g ; b-h ; c-e ; d-f \)
D. a-g ;b-h;c-f;d-e
Subject: Chemistry
\( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a q})+\boldsymbol{Z n}(\boldsymbol{s}) \rightarrow \boldsymbol{Z n l}_{2}(\boldsymbol{a q})+ \)
\( \boldsymbol{H}_{2}(\boldsymbol{g}) \)
In the above reaction \( \boldsymbol{H} \boldsymbol{C l} \) (aq) play a
role as:
A. bronsted acid
B. oxidizing agent
c. reducing agemt
D. precipitate
E. cathode
Subject: Biology
Match Column - I with Column-II and
select the correct option from the codes
given below.
Column - I
P. Brown algae
(i) Anabaena
Q. Blue-green algae
(ii) Gelidilum
R. Green algae
(iii) Sargassum
S. Red algae
(iv) Chlamydomonas
A. P- (ii), Q- (i), R- (iii), S- (iv)
B. P- (iii), Q- (iv), R- (ii), S- (i)
c. P- (ii), Q- (iii), R- (iv), s- - (i)
D. P-(iii), Q- (i), R- (iv), S- (ii)
Subject: Chemistry
The critical density of the \( \operatorname{gas} C O_{2} \) is
\( 0.44 g c m^{-3} \) at a certain temperature. If
\( r \) is the radius of the molecule, \( r^{3} \) in
\( c m^{3} \) is approximately: (N is Avogadro number)
A \( \cdot \frac{25}{\pi N} \)
в. \( \frac{100}{\pi N} \)
c. \( \frac{6.25}{\pi N} \)
D. \( \frac{25}{\pi} \)
Subject: Physics
A coil of 30 turns of wire each of \( 10 c m^{2} \)
area is placed with its plane perpendicular to a magnetic field of 0.1 \( T . \) When the coil is suddenly withdrawn from the field, a
galvanometer connected in series with
the coil indicated that a \( 10 \mu C \)
charge passes around the circuit. The combined resistance of the coil and
galvanometer is:
A . \( 3 \Omega \)
в. \( 30 \Omega \)
\( c .300 \Omega \)
D. 3000\Omega
Subject: Physics
A hemisphere and a solid cone have a common base. The centre of mass of the
common structure coincides with the
centre of the common base. If \( \mathrm{R} \) is the
radius of hemisphere and h is the height of the cone, then :
A \( \cdot \frac{h}{R}=\sqrt{3} \)
в. \( \frac{h}{R}=\frac{1}{\sqrt{3}} \)
c. \( \frac{h}{R}=3 \)
D. \( \frac{h}{R}=\frac{1}{3} \)
Subject: Physics
A stone us dropped into a well of \( 20 m \)
deep. Another stone is thrown downward
with velocity \( v \) one second later. If both
stones reach the water surface in the
well simultaneously \( v \) is equal to \( (g= \) \( \left.10 m s^{-2}\right) \)
A \( \cdot 30 m s^{-1} \)
B. \( 15 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 20 \mathrm{ms}^{-1} \)
D. \( 10 \mathrm{ms}^{-1} \)
Subject: Physics
The mass of hydrogen molecule us \( 3.32 x \) \( 10^{-27} \) kg.If \( 10^{23} \) hydrogen molecules
strike per second at \( 2 \mathrm{cm}^{2} \) area of a rigid
wall at an angle \( 45^{0} \) from the normal and
rebound back with speed of \( 1000 \mathrm{m} / \mathrm{s} \)
then the pressure exerted on the wall is
A. 2 Pascal
B. 2.34 \times 10 \( ^{3} \) Pascal
c. \( 0.23 \times 10^{3} \) Pascal
D. 23.4 x 10 \( ^{3} \) Pascal
Subject: Physics
The focal lengths of the objective and
eyepiece of a telescope are \( 60 \mathrm{cm} \) and 5cm respectively.The telescope is focused on an object \( 360 \mathrm{cm} \) from the objective and the final image is formed at a distance of \( 30 \mathrm{cm} \) from the eye of
the observer. The length of the telescope is
A. \( 66.3 \mathrm{cm} \)
B. 86.3 cm
\( c .76 .3 \mathrm{cm} \)
D. \( 96.3 \mathrm{cm} \)
Subject: Physics
Given solid sphere is in pure rolling on a rough surface. Pick correct statement
(s) (take \( \pi=22 / 7) \)
This question has multiple correct options
A. There are two points in sphere having velocity in vertical direction
B. There is no point in sphere having velocity in vertical direction
C . Ratio of distance travelled by A and O is \( \frac{14}{11} \) in one
complete round
D. Ratio of distance travelled by A and O is 1 in one complete round
Subject: Maths
\( 6 x-1=2 x+9 \) value of \( x \)
A \( \cdot 1 \frac{1}{2} \)
в. \( -2 \frac{1}{2} \)
c. \( \frac{4}{10} \)
D. \( _{2} \frac{1}{2} \)
Subject: Physics
toppr LoGin
Q Type your question
\( r \)
larger without changing anything else.
If the plate area is made larger after the
capacitor has been disconnected, what
will happen to the charge on the plates,
the voltage across the plates, and the
value of capacitance for this capacitor?
Value after Plate Area is
A . capacitor Property increased Charge on Plates smaller Voltage Across smaller Plates
Capacitance smaller
B. Value after Plate Area is Capacitor Property increased
Charge on Plates larger Voltage Across smaller Plates Capacitance \( \quad \) large
\( c \)
Value after Plates Area is Capacitor Property increased
Change on Plates same Voltage Across larger Plates Capacitance smaller
Value after Plates Area is
D. capacitor Property increased
Change on Plates Same Voltage Across same Plates Capacitance larger
Value after Plates Area is
E. capacitor Property increased Change on Plates same Voltage Across smaller Plates

Capacitance larger
Subject: Chemistry
When zinc is treated with conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \)
an oxide of nitrogen is formed. The change in oxidation state of nitrogen during this reaction is:
A . +5 to 0
B. +5 to +2
\( \mathbf{c} \cdot+5 \) to +4
D. +5 to +1
Subject: Maths
The imaginary roots of the equation \( \left(x^{2}+2\right)^{2}+8 x^{2}=6 x\left(x^{2}+2\right) \) are
A. \( 1+i \)
в. \( 2 \pm i \)
c. \( -1 \pm i \)
D. noneofthese
Subject: Maths
Suppose \( A \) and \( B \) are independent events with \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 6}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 7} \)
.Then compute:
a) \( P(A \cap B) \)
b) \( P(A \cup B) \)
\( \mathbf{c}) \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) \)
d) \( P\left(A^{c} \cap B^{c}\right) \)
Subject: Maths
\( \lim _{x \rightarrow 0} \frac{(27+x)^{1 / 3}-3}{9-(27+x)^{2 / 3}} \) equals:
A . \( -1 / 6 \)
в. \( 1 / 6 \)
\( c \cdot 1 / 3 \)
D. \( -1 / 3 \)
Subject: Maths
Arrange the steps marked
(i) to (v) in
CORRECT order while constructing a line parallel to a given line, through a point not on the line using ruler and
compasses only. Step 1. Take a line 'I' and a point 'A' outside 'I'.
Step 2. Take any point B on I and join B to A.
(i) Now with \( A \) as centre and the same
radius as in previous step, draw an arc EF cutting \( A B \) at \( G \)
(ii) With the same opening as in previous step and with \( \mathrm{G} \) as centre, draw an arc cutting the arc EF at H.
(iii) With \( \mathrm{B} \) as centre and a convenient
radius, draw an arc cutting I at \( \mathrm{C} \) and BA at D.
(iv) Now, join AH to draw a line 'm'.
\( \mathbf{A} \cdot(\mathbf{i}) \rightarrow(\mathbf{i} \mathbf{i}) \rightarrow(\mathbf{i} \mathbf{v}) \rightarrow \) (iii)
B. (iii) \( \rightarrow(\mathrm{i}) \rightarrow(\mathrm{ii}) \rightarrow(\mathrm{iv}) \)
c. (iii) \( \rightarrow(\text { ii) } \rightarrow(i) \rightarrow \) (iv)
D. (i) \( \rightarrow \) (ii) \( \rightarrow \) (iii) \( \rightarrow \) (iv)
Subject: Maths
A horse is placed for grazing inside a
rectangular field \( 70 m \) by \( 52 \mathrm{m} \) and is
tethered to one corner by a rope \( 21 \mathrm{m} \)
long. On how much area can it graze?
A \( .346 .5 \mathrm{cm}^{2} \)
В. \( 360 \mathrm{cm}^{2} \)
c. \( 350.5 \mathrm{cm}^{2} \)
D. \( 380 c m^{2} \)
Subject: Physics
Q Type your question-
body of mass \( \mathrm{m} \) and charge \( \mathrm{q} \) is placed
perpendicular to the centre of sqaure at
a distance \( h \) from the centre. Take the
distance between centre and vertices of
the sqaure to be ' \( a \) '. What should be the
value of \( Q \) in order that this body may be
in equilibrium?
A \( \cdot \pi \varepsilon_{0} \frac{m g}{2 h q}\left(h^{2}+2 a^{2}\right)^{3 / 2} \)
B. \( \pi \varepsilon_{0} \frac{m g}{h q}\left(h^{2}+a^{2}\right)^{3 / 2} \)
c. \( \pi \varepsilon_{0} \frac{2 m g}{h q}\left(h^{2}+2 a^{2}\right)^{3 / 2} \)
P. \( \quad \frac{m g}{h q}\left(h^{2}-a^{2}\right)^{3 / 2} \)