AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Which of the following statements
is/are incorrect for a meter bridge,
which is used to compare two
resistances?
A. If its wire is replaced by another wire having same length, made of same material but having twice the cross sectional area, the accuracy increases.
B. If its wire is replaced by another wire of different material, having same cross sectional area but of twice the length, accuracy increases.
C. If its wire is replaced by another wire of same material, having half the cross sectional radius and half the length, accuracy decreases but sensitivity increases
D. Metre bridge works on the principle of Wheat-stone bridge
Subject: Maths
The slope and y-intercept of the following line are respectively
\( 4 x-y=0 \)
A. slope \( =m=4 \) and \( y- \) intercept \( =0 \)
B. slope \( =m=-4 \quad \) and \( \quad y- \) intercept \( =0 \)
C \( . \) slope \( =m=1 / 4 \) and \( y- \) intercept \( =0 \)
D. slope \( =m=0 \) and \( y- \) intercept \( =1 / 4 \)
Subject: Physics
The magnetic field perpendicular to the plane of a conducting ring of radius \( r \) changes at the rate \( \frac{d B}{d t} \) This question has multiple correct options
A \( \cdot \) The emf induced in the ring is \( \pi r^{2} \frac{d B}{d t} \)
B. The emf induced in the ring is \( 2 \pi r \frac{d B}{d t} \)
C. The potential difference between diametrically opposite points on the ring is half of the induced emf.
D. All points on the ring are at the same potential.
Subject: Physics
If a body starts from rest and travels
\( 120 \mathrm{cm} \) in the \( 6^{t h} \) second then what is
the acceleration?
\( \mathbf{A} \cdot 0.20 m / s^{2} \)
В. \( 0.027 m / s^{2} \)
C. \( 0.218 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 0.003 m / s^{2} \)
Subject: Physics
The number of turns per unit length in a
toroid is \( 10^{3} \) and current flowing in it is
\( \frac{1}{4 \pi} \) ampere,then the magnetic induction produced in it, is :
\( \mathbf{A} \cdot 10^{-4} T \)
в. \( 10^{4} T \)
c. \( 10^{-2} T \)
D. \( 10^{2} T \)
Subject: Physics
A small steel ball falls through a syrup
at a constant speed of \( 10 \mathrm{m} / \mathrm{s} \). If the steel ball is pulled upwards with a force equal to twice its effective weight, how fast will it move upwards?
\( A \cdot 10 \mathrm{cm} / \mathrm{s} \)
B. 20 cm/s
\( c \cdot 5 \mathrm{cm} / \mathrm{s} \)
D. \( -5 \mathrm{cm} / \mathrm{s} \)
Subject: Physics
Atomic mass of \( _{6}^{13} C \) is 13.00335 amu and its mass number is \( 13.0 . \) If amu \( = \)
\( 931 \mathrm{MeV}, \) the binding energy of the
neutrons present in the nucleus is
A. \( 0.24 \mathrm{MeV} \)
B . \( 1.44 \mathrm{MeV} \)
c. \( 1.68 \mathrm{MeV} \)
D. 3.12 Mev
Subject: Physics
The activity present after 50 minutes.
A \( \cdot 4.1 \times 10^{4} B q \)
в. \( 3.6 \times 10^{5} \) В \( q \)
c. \( 7.5 \times 10^{5} \) В \( q \)
D. \( 1.4 \times 10^{6} \) В \( q \)
Subject: Maths
If \( \sec ^{-1} \frac{1}{\sqrt{1-x^{2}}}+\cot ^{-1}\left(\frac{\sqrt{1-x^{2}}}{x}\right)= \)
\( \sin ^{-1}(k) \) then \( k= \)
B. \( 2 x \sqrt{1-x^{2}} \)
c. \( \sqrt{1-x^{2}} \)
D. \( 2 x \)
Subject: Physics
Newton's formula for the velocity of
sound in gas is
\( ^{\mathrm{A}} \cdot_{v}=\sqrt{\frac{P}{\rho}} \)
в. \( _{v}=\frac{2}{3} \sqrt{\frac{P}{\rho}} \)
c. \( v=\sqrt{\frac{\rho}{P}} \)
D. \( v=\sqrt{\frac{2 P}{\rho}} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & -\mathbf{2} \\ \mathbf{3} & \mathbf{0}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{- 1} & \mathbf{4} \\ \mathbf{2} & \mathbf{3}\end{array}\right], \boldsymbol{C}= \)
\( \left[\begin{array}{cc}\mathbf{0} & \mathbf{1} \\ \mathbf{- 1} & \mathbf{0}\end{array}\right], \) then \( \mathbf{5} \boldsymbol{A}-\mathbf{3} \boldsymbol{B}+\mathbf{2} \boldsymbol{C}= \)
\( \mathbf{A} \cdot\left[\begin{array}{cc}8 & 20 \\ 7 & 9\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{cc}8 & -20 \\ 7 & -9\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}-8 & 20 \\ -7 & 9\end{array}\right] \)
\( \mathbf{D} \cdot\left[\begin{array}{cc}8 & 7 \\ -20 & -9\end{array}\right] \)
Subject: Physics
An electron collides with a Hydrogen atom in its ground state and excites it
to \( n=3 \) state. The energy given to the
Hydrogen atom in his inelastic collision (neglecting the recoil of Hydrogen atom) is
A . \( 10.2 e V \)
в. \( 12.1 e V \)
c. \( 12.5 e V \)
D. \( 13.6 e V \)
Subject: Chemistry
If \( \alpha \) is the reaction of HI dissociated at
equilibrium in the reaction \( 2 H I \rightarrow \)
\( \boldsymbol{H}_{2}+\boldsymbol{I}_{2} \) then starting with 2 moles of
HI, the total number of moles of
reactants and products at equilibrium
are:
\( A \)
B. 2
\( c \cdot 1+a \)
D. \( 2+2 \alpha \)
Subject: Chemistry
The weight of silver (At. Wt. = 108) displaced by a quantity of electricity
which displaces \( 5600 \mathrm{ml} \) of \( O_{2} \) at STP will be
A. \( 5.4 \mathrm{g} \)
B. \( 10.8 \mathrm{g} \)
c. \( 54.0 \mathrm{g} \)
D. \( 108.0 \mathrm{g} \)
Subject: Chemistry
\( \boldsymbol{C l O}_{3}^{-}+\boldsymbol{C l}^{-} \rightarrow \boldsymbol{C l}_{2}+\boldsymbol{C l O}_{2} \)
Which of the following is correct for this reaction:
A. Its a disproportion reaction
B. \( C l \) is both oxidised and reduced
c. \( C l \) is both reducing and oxydising agent
D. All of these
Subject: Maths
If \( i^{2}=-1, \) then find the odd one out of
the following expressions.
\( \mathbf{A} \cdot-i^{2} \)
B \( \cdot(-i)^{2} \)
\( c \cdot i^{4} \)
D. \( (-i)^{4} \)
\( E \cdot-i^{6} \)
Subject: Chemistry
Which of the following arrangements does not represent the correct order of
the property stated against it?
A \( \cdot V^{2+}<C r^{2+}<M n^{2+}<F e^{2+}: \) Paramagnetic behavior
B. \( N i^{2+}<C o^{2+}<F e^{2+}<M n^{2+}: \) lonic size
C. \( C o^{3+}<F e^{3+}<C r^{3+}<S c^{3+}: \) Stability in aqueous solution
D. \( S c<T i<C r<M n \) : Number of oxidation states
Subject: Chemistry
Periodic Table(Abbreviated): The
element that will react in a 1: 1 ratio
with (D) is:
\begin{tabular}{|c|c|c|c|c|c|}
\hline \( \mathbf{z}_{\mathbf{L i}} \) & & & & & \( \mathbf{( D )} \) & \( \mathbf{1 0} \) \\
\hline & \( \mathbf{( A )} \) & & & & \( \mathbf{( C )} \) & & \\
\hline \( \mathbf{( B )} \) & \( \mathbf{2 0} \) & & & & & \\
\hline
\end{tabular}
B.
\( r \)
D
Subject: Chemistry
Here an extraction process is given in steps. Identify the suitable ores
corresponding to the process. Pulverisation \( \rightarrow \) Calcination \( \rightarrow \)
Smelting \( \rightarrow \) Vacuum \( \rightarrow \) Distillation This question has multiple correct options
A. zinc blend
B. Calamine
c. Magnesite
D. zincite
Subject: Maths
If \( \boldsymbol{A} \) is matrix of order \( \boldsymbol{3}, \) then \( \boldsymbol{d} \boldsymbol{e} \boldsymbol{t}(\boldsymbol{k} \boldsymbol{A}) \)
is:
A \( \cdot k^{3} d e t(A) \)
B . \( k^{2} d e t(A) \)
c. \( k d e t(A) \)
D. \( \operatorname{det}(A) \)
Subject: Chemistry
A solution which is \( 10^{-3} M \) each in
\( M n^{2+}, F e^{2+}, Z n^{2+} \) and \( H g^{2+} \) is
treated with \( 10^{-16} M \) sulphide ion. If
\( K_{s p} \) of MnS,FeS,ZnS andHgS are \( 10^{-15}, 10^{-23}, 10^{-20} \) and \( 10^{-54} \)
respectively, which one will precipitate first?
A . Fes
в. Mgs
c. нgs
D. zns
Subject: Physics
Two circular coils are placed adjacent
to each other. Their planes are paralle
and currents through them \( i_{1} \) and \( i_{2} \) are
in same directions. Choose the correct
options
This question has multiple correct options
A. When \( A \) is brought near \( B \), current \( i_{2} \) will decrease
B. When \( A \) is brought near \( B \), current \( i_{2} \) will increase
C. When current \( i_{1} \) is increased, current \( i_{2} \) will decrease
D. When current \( i_{1} \) is increased, current \( i_{2} \) will increase
Subject: Chemistry
In the silver plating of copper,
\( \boldsymbol{K}\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \) is used instead of
\( A g N O_{3} . \) The reason is :
\( A \). a thin layer of \( A g \) is formed on \( C u \)
B. more voltage is required
C. \( A g^{+} \) ions are completely removed from solution
D. less availability of \( A g^{+} \) ions, as \( C u \) cannot displace
\( A g \) from \( \left[A g(C N)_{2}\right]^{-} \) ion
Subject: Maths
The values of \( p \) and \( q \) for which the
function \( \mathbf{f}(\mathbf{x})= \)
\( \left\{\begin{array}{cl}\frac{\sin (\mathbf{p}+1) \mathbf{x}+\sin \mathbf{x}}{\mathbf{x}} & , \mathbf{x}<\mathbf{0} \\ \mathbf{q} & , \mathbf{x}=\mathbf{0} \\ \frac{\sqrt{\mathbf{x}+\mathbf{x}^{2}}-\sqrt{\mathbf{x}}}{\mathbf{x}^{3 / 2}} & , \mathbf{x}>0\end{array}\right. \)
is continuous for all \( \mathbf{x} \) in \( \mathbf{R} \), are
A \( \cdot p=\frac{1}{2}, q=-\frac{3}{2} \)
B. \( _{\mathrm{p}}=\frac{5}{2}, \mathrm{q}=\frac{1}{2} \)
\( ^{\mathbf{C}} \cdot_{\mathrm{p}}=-\frac{3}{2}, \mathrm{q}=\frac{1}{2} \)
D. \( _{\mathrm{p}}=\frac{1}{2}, \mathrm{q}=\frac{3}{2} \)
Subject: Chemistry
Assertion
Increase in pressure does not cause a shift in equilibrium for the formation of
\( \boldsymbol{H} \boldsymbol{I} \)
Reason
Formation of \( H I \) is an exothermic
reaction.
A. If both assertion and reason are correct and reason is the correct explaination of the assertion.
B. If both assertion and reason are correct, but reason is not the correct explanation of the assertion
c. If assertion is correct, but reason is incorrect
D. If assertion is incorrect, but reason is correct
Subject: Physics
uniformly charged in such a way that the potential difference between
them is \( V_{2}-V_{1}=120 V . \) (i.e. plate 2 is
at a higher potential). The plates are
separated by \( \boldsymbol{d}=\mathbf{0 . 1 m} \) and can be
treated as infinitely large. An electron is
released from rest on the inner surface
of plate \( 1 . \) What is its speed when it hits
plate \( 2 ?\left(e=1.6 \times 10^{-19} C, m_{e}=\right. \)
\( \left.9.11 \times 10^{-31} k g\right) \)
\( \mathbf{A} \cdot 32 \times 10^{-19} \mathrm{m} / \mathrm{s} \)
B . \( 6.49 \times 10^{6} \mathrm{m} / \mathrm{s} \)
C \( .7 .02 \times 10^{12} \mathrm{m} / \mathrm{s} \)
D. \( 1.87 \times 10^{6} \mathrm{m} / \mathrm{s} \)
Subject: Physics
A bullet of mass 10 g moving with velocity of \( 1.5 \mathrm{m} / \mathrm{s} \) hits a thick wooden plank of mass 90 g. The plank is initially at rest, but when it gets hit by the bullet, the bullet remains in the plank and both move with a certain speed. Calculate the speed with which plank containing the bullet moves?
A. \( 0.15 \mathrm{m} / \mathrm{s} \)
B. \( 0.5 \mathrm{m} / \mathrm{s} \)
\( c \cdot 1.5 \mathrm{m} / \mathrm{s} \)
D. \( 2 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A bullet of mass \( 0.012 k g \) and
horizontal speed \( 70 m s^{-1} \) strikes a
block of wood of mass \( 0.4 k g \) and
instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also, estimate the amount of heat produced in the block.
Subject: Maths
The coordinates of the foot of the
perpendicular from the point (1,-2,1) on the plane containing the lines, \( \frac{x+1}{6}=\frac{y-1}{7}=\frac{z-3}{8} \) and \( \frac{x-1}{3}= \)
\( \frac{\boldsymbol{y}-\boldsymbol{2}}{\mathbf{5}}=\frac{\boldsymbol{z}-\boldsymbol{3}}{\boldsymbol{7}}, \) is :
A \( \cdot(2,-4,2) \)
в. (-1,2,-1
c. (0,0,0)
D. (1,1,1)
Subject: Physics
A nucleus of mass \( M+\Delta m \) is at rest
and decays into two daughter nuclei of equal mass of \( \frac{M}{2} \) each. The speed of light is c,Then speed of daughter nuclei is?
A \( \cdot c \frac{\Delta \mathrm{m}}{\mathrm{M}+\Delta \mathrm{m}} \)
B. \( \mathrm{c} \sqrt{\frac{2 \Delta \mathrm{m}}{\mathrm{M}}} \)
\( ^{c} \cdot c \sqrt{\frac{\Delta m}{M}} \)
D \( \cdot \sqrt{\frac{\Delta m}{M+\Delta m}} \)
Subject: Physics
A charge is placed at the edge of a cube
of each side ' \( a^{\prime} \). Calculate the electric
flux through each face of the cube.
\( A \cdot \frac{Q}{40} \)
B. \( \frac{Q}{240} \)
\( c \cdot \frac{Q}{20} \)
D. \( \frac{Q}{15 \varepsilon_{0}} \)
Subject: Physics
A point \( P \) moves in counter-clockwise
direction on a circular path as shown in
the figure. The movement of \( \boldsymbol{P} \) is such
that it sweeps out a length \( s=t^{2}+5 \)
where \( s \) is in metres and \( t \) is in seconds.
The radius of the path is \( 20 m \). The
acceleration of \( \boldsymbol{P} \) when \( \boldsymbol{t}=\boldsymbol{2} \boldsymbol{s} \) is
approximately :
A \( \cdot 13 m / s^{2} \)
В. \( 2.15 m / s^{2} \)
\( c \cdot 7 \cdot 2 m / s^{2} \)
Subject: Chemistry
The first ionization energy for \( N a \) is \( 495 k J / m o l \)
The BEST estimate for sodium's second
ionization energy would be
A. \( 367 k J / \) mol
в. \( 584 k J / m o l \)
c. \( 690 k J / \) mol
D. \( 4560 k J / \) mol
Subject: Physics
Assertion
A horse has to pull a cart harder during the first few steps of his motion.
Reason
The first few steps are always difficult.
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
When waves of same intensity from two coherent sources reach a point with
zero path difference the resultant intensity is \( K \) when the above path difference is \( \lambda / 4 \) the intensity becomes:
\( A \cdot K \)
в. \( \frac{K}{2} \)
c. \( \frac{K}{4} \)
D. \( \frac{K}{8} \)
Subject: Chemistry
Assertion
\( \boldsymbol{P C l}_{5} \) and \( \boldsymbol{P C l}_{4} \) are thermally unstable
Reason
They produce same gas on thermal
decomposition
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: Maths
By eliminating the arbitrary constants A and \( \mathrm{B} \) from \( \boldsymbol{y}=\boldsymbol{A} \boldsymbol{x}^{2}+\boldsymbol{B} \boldsymbol{x}, \) we get the
differential equation:
A \( \cdot \frac{d^{3} y}{d x^{3}}=0 \)
B. \( x^{2} \frac{d^{2} y}{d x^{2}}-2 x \frac{d y}{d x}+2 y=0 \)
c. \( \frac{d^{2} y}{d x^{2}}=0 \)
D. \( x^{2} \frac{d^{2} y}{d x^{2}}+y=0 \)
Subject: Chemistry
IUPAC name of the compound is:
A. \( 1- \) Bromo -2 -chlorocyclopenta -2,4 -diene
B. \( 1- \) Chloro \( -5- \) bromocyclopenta \( -1,3- \) diene
C. \( 5- \) Bromo-1-chlorocyclopenta-1, 3 -diene
D. \( 3- \) Bromo-4-chlorocyclopenta-1,4-diene
Subject: Physics
In a car race, car A takes a time t less
than car \( B \) at the finish and passes the
finishing point with speed \( \mathbf{v} \) more than that of the car B. Assuming that both the cars starts from rest and travel with
constant acceleration \( a_{1} \) and \( a_{2} \)
respectively. Show that \( \boldsymbol{v}=\sqrt{\boldsymbol{a}_{1} \boldsymbol{a}_{2}} \boldsymbol{t} \)
Subject: Maths
Solve: \( \sqrt{\mathbf{2}} \boldsymbol{x}+\sqrt{\mathbf{3}} \boldsymbol{y}=\mathbf{0} \)
\( \sqrt{\mathbf{3}} \boldsymbol{x}-\sqrt{\mathbf{8}} \boldsymbol{y}=\mathbf{0} \)
Subject: Chemistry
What does the negative electronic energy (negative sign for all values of energy) for hydrogen atom means?
A. The energy of an electron in the atom is lower than the energy of a free electron at rest which is taken as zero
B. When the electron is free from the influence of nucleus it has a negative value which becomes more negative
c. When the electron is attracted by the nucleus the energy is absorbed which means a negative value
D. Energy is released by hydrogen atom in ground state
Subject: Maths
\( \mathrm{ff}=\left[\begin{array}{ccc}\boldsymbol{a} & \mathbf{0} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \boldsymbol{a} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \mathbf{0} & \boldsymbol{a}\end{array}\right], \) then the value
of |A| |Adj. A|
A \( \cdot a^{3} \)
в. \( a^{6} \)
\( c \cdot a^{9} \)
\( \mathbf{D} \cdot a^{2} \)
Subject: Physics
For case III what is the direction of the
electric force exerted by the field on the
\( +1 \mu C \) charged object when at \( A \) and
when at \( B ? \)
A. left at \( A \) and left at \( B \)
B. right at \( A \) and right at \( B \)
C. left at A and right at B
D. right at A and left at B
E. no electric force at either positions
Subject: Physics
In a region, uniform electric field exists as \( \overrightarrow{\boldsymbol{E}}=[\mathbf{1 0 \hat { \boldsymbol { i } }}+\mathbf{1 0 \hat { \boldsymbol { j } }}] \boldsymbol{N} / \boldsymbol{C} . \) If the
potential of origin is 0 volts, the potential of point \( (10 m, 10 m, 10 m) \)
Subject: Chemistry
When sulphur ( in the form of \( S_{8} \) ) is
heated to temperature \( T, \) at
equilibrium, the pressure of \( S_{8} \) falls by
\( 30 \% \) from 1.0 atm, because \( S_{8}(g) \) is
partially converted into \( S_{2}(g) \). Find the
value of \( K_{p} \) for this reaction.
A .2 .96
B. 6.14
c. 204.8
D. None of these
Subject: Maths
If \( s \) represents the side, then the formula of surface area of cube is
A \( \cdot 6(s)^{2} \)
2) \( ^{6}\left(a^{\prime}\right)^{6} \)
B. \( 3(s)^{2} \)
\( c \cdot 5(s)^{2} \)
D・ \( 16(s)^{2} \)
Subject: Physics
A ball of mass \( 4 \mathrm{kg} \) moving on a smooth horizontal surface makes an elastic collision with another ball of mass \( \mathrm{m} \) at
rest in the line of motion of first ball, if
after collision first ball moves in the
same direction with one fourth of its
velocity before collision, then mass of
second ball is :
\( A \cdot 4 \mathrm{kg} \)
B. 4.4 kgg \( g g \)
c. \( 2.4 \mathrm{kg} \)
D. \( 2 \mathrm{kg} \)
Subject: Maths
Using properties of determinants prove the following:
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{x} & \boldsymbol{x}^{2} \\ \boldsymbol{x}^{2} & \mathbf{1} & \boldsymbol{x} \\ \boldsymbol{x} & \boldsymbol{x}^{2} & \boldsymbol{1}\end{array}\right|=\left(1-\boldsymbol{x}^{3}\right)^{2} \)
Subject: Chemistry
Observe the given flowchart carefully
and mark the appropriate option
correctly representing I, II and III.
bite
\( \begin{array}{lll}\text { A. Sweet } & \text { Calamine } & \text { Formic acid }\end{array} \)
B. Bitter Formic acid Baking soda
C. Bitter Baking soda Calamine
D. Sweet Formic acid Baking soda
Subject: Physics
The voltage required to balance an oil drop carrying 10 electrons between the plates of a capacitor which are \( 10 \mathrm{mm} \) apart, is (Given mass of the oil drop= \( \left.\mathbf{3} \cdot \mathbf{2} \times \mathbf{1 0}^{-\mathbf{1 5}} \mathbf{k g}, \boldsymbol{e}=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{1 9}} \mathbf{C}\right) \)
A . \( 16 v \)
B. 160 V
c. \( 196 v \)
D. \( 19.6 v \)
Subject: Chemistry
For the elementary reaction \( 2 S O_{2(g)}+ \)
\( O_{2(g)} \rightarrow 2 S O_{3(g)}, \) identify the correct among the following relaitons.
A \( \cdot \frac{-d\left[S O_{2(g)}\right]}{d t}=\frac{-d\left[O_{2(g)}\right]}{d t} \)
\( ^{\mathbf{B}} \cdot \frac{+1}{2} \frac{d\left[S O_{3(g)}\right]}{d t}=\frac{d\left[S O_{2(g)}\right]}{d t} \)
c. \( \frac{+d\left[S O_{3(g)}\right]}{d t}=\frac{-2 d\left[O_{2(g)}\right]}{d t} \)
D. \( \frac{+d\left[S O_{2(g)}\right]}{d t}=\frac{-d\left[O_{2(g)}\right]}{d t} \)
Subject: Physics
Two magnets of equal mass are joined at right angles to each other as shown Magnet 1 has a magnetic moment 3
times that of magnet 2. This arrangement is pivoted so that it is free to rotate in the horizontal plane. In
equilibrium what angle will the magnet
1 subtend with the magnetic meridian
A \( \cdot \tan ^{-1}\left(\frac{1}{2}\right) \)
B. \( \tan ^{-1}\left(\frac{1}{3}\right) \)
\( c \cdot \tan ^{-1}(1) \)
D. \( 0^{\circ} \)
Subject: Physics
Current \( I \) is flowing in a coil of area \( A \)
and number of turns is \( N \), then
magnetic moment of the coil is \( M \)
equal to
A. \( N I A \)
в. \( N I / A \)
\( \mathbf{c} \cdot N I / \sqrt{A} \)
D. \( N^{2} A I \)
Subject: Biology
Assertion:Presently, the global atmosphe
re is warming up.

Reason :The depletion of stratospheric oz
one layer has resulted in increase in ultra
violet radiations reaching the earth.
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
E. If the assertion is false but reason is true
Subject: Maths
A company makes a metallic block having square bases with volume 640
\( c m^{3}, \) and height \( 10 \mathrm{cm} . \) If Robin wants to paint the block with the paints at the
rate of Rs 15 per \( c m^{2} \), then find the cost
of painting Robin has to pay.
A . Rs 5680
B. Rs 6595
c. Rs 6720
D. Rs 6690
Subject: Maths
A sum of Rs. 24000 is borrowed for \( 1 \frac{1}{2} \) years at the rate of interest \( 10 \% \) per
annum compounded semiannually. What is the compound interest \( (x) ? \)
A \( . x> \) Rs. 3000
B. Rs. 3000 < \( x< \) Rs. 4000
c. Rs. \( 4000<x<5000 \)
D. \( x> \) Rs. 5000
Subject: Physics
Assertion
It is more difficult to push a magnet
into a coil with more loops.
Reason
Emf induced in the current loop resists
the motion of the magnet.
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 body dropped freely from a height \( h \) onto a horizontal plane, bounces up and down and finally comes to rest. The
coefficient of restitution is \( e \), the ratio
of times of two consecutive rebounds:
A \( .1: e \)
B . \( e: 1 \)
c. \( 1: e^{2} \)
D. \( e^{2}: 1 \)
Subject: Chemistry
\( \boldsymbol{K}_{\boldsymbol{p}} \) for the following reaction at \( \mathbf{7 0 0} \boldsymbol{K} \) is
\( 1.3 \times 10^{-3} a t m^{-1} . \) The \( K_{C} \) at same
temperature of the reaction \( 2 S O_{2}+ \)
\( \boldsymbol{O}_{2} \rightleftharpoons \mathbf{2} \boldsymbol{S} \boldsymbol{O}_{3} \) will be :
В. \( 3.1 \times 10^{-2} \)
C \( .5 .2 \times 10^{-2} \)
D. \( 7.4 \times 10^{-2} \)
Subject: Chemistry
an isochoric reversible process
\( \mathbf{A} \cdot \Delta U=19.90 k J, \Delta H=24.058 k J ; w=0 \)
B . \( \Delta U=-19.90 k J, \Delta H=24.058 k J ; w=0 \)
C \( . \Delta U=19.90 k J, \Delta H=-24.058 k J ; w=0 \)
D. None of these
Subject: Chemistry
In a solution \( 0.04 M F e C l_{2}, 0.02 M \)
\( F e C l_{3} \) and \( 0.01 M H C l, \) how large may
be its \( p H \) (nearest integer) without
there being precipitation of either
\( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{2} \) or \( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3} ? \boldsymbol{K}_{s p} \) of
\( F e(O H)_{2} \) and \( F e(O H)_{3} \) are \( 8 \times 10^{-16} \)
and \( 4 \times 10^{-38} \) respectively.
Subject: Physics
If the vectors \( \vec{A}=a \hat{i}+\hat{j}-2 \hat{k} \) and \( \hat{B}= \)
\( \boldsymbol{a} \hat{\boldsymbol{i}}-\boldsymbol{a} \hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) are perpendicular to each
other then the positive value then the positive value of 'a' is
A. zero
в.
\( c \cdot-1 \)
D. 3
Subject: Physics
A thin semicircular conducting the ring
\( (P Q R) \) of radius \( ^{\prime} r^{\prime} \) is falling with its
plane vertical in a horizontal magnetic
field \( B \), as shown in figure. The potentia difference developed across the ring
when its speed is \( v \), is
A. Zero
B. \( B v \pi r^{2} / 2 \) and \( P \) is at higher potential
\( \mathrm{c} . \pi r B v \) and \( R \) is at higher potential
D. \( 2 r B v \) and \( R \) is at higher potential
Subject: Physics
Two charges each q nC. are placed at two vertices of an equilaterial triangle of side \( 1 \mathrm{m} \). The filed at the other vertex
is
A \( \cdot \sqrt{2} q \)
B. \( 9 \sqrt{3} q \)
c. \( \frac{\sqrt{3} q}{10} \)
D. \( \frac{9 q}{\sqrt{3}} \)
Subject: Maths
If different values of variable \( x \) are
\( 9.8,5.4,3.7,1.7,1.8,2.6,2.8,8.6,10.5 a r \)
find the mean.
A . 5.8
B. 7.8
\( \mathrm{c} .9 .8 \)
D. None of these