AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Ajay had purchased a second hand scooter for Rs. 18000 and spent Rs 1800
for repairs. After 1 year he wanted to sell the scooter. At what price should he sell
it to gain \( \frac{\mathbf{1 0 0}}{\mathbf{9}} \%, \) if \( \frac{\mathbf{1 0 0}}{\mathbf{1 1}} \% \) is to be
deducted at the end of every year on
account of depreciation?
A. Rs. 18000
B. Rs. 19800
c. Rs. 20000
D. Rs. 22500
Subject: Maths
Find the area of the region bounded by the curve \( y^{2}=4 x \) and the line \( x=3 \)
\begin{tabular}{l} 
A. \( 4 \sqrt{3} \) \\
\hline
\end{tabular}
B. \( 8 \sqrt{3} \)
\( c \cdot 6 \)
D. \( 2 \sqrt{3} \)
Subject: Chemistry
Which one of the following compounds has the electron-pair geometry as di trigonal bipyramidal with three equatorial positions occupied by lone pairs of electrons?
\( \mathbf{A} \cdot\left[A l C l_{3}\right] \)
в. \( X e F_{2} \)
\( \mathbf{c} \cdot\left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \)
D. \( C H_{3}-M g-B r \)
Subject: Maths
Antiderivative of \( \frac{\sin ^{2} x}{1+\sin ^{2} x} \) with
respect to x is?
A \( \cdot x-\frac{\sqrt{2}}{2} \arctan (\sqrt{2} \tan x)+c \)
B. \( x-\frac{1}{\sqrt{2}} \arctan \left(\frac{\tan x}{\sqrt{2}}\right)+c \)
c. \( x-\sqrt{2} a r c \tan (\sqrt{2} \tan x)+c \)
D. \( x-\sqrt{2} \arctan \left(\frac{\tan x}{\sqrt{2}}\right)+c \)
Subject: Chemistry
A reaction is catalysed by \( \boldsymbol{H}^{+} \) ion. In the
presence of an acid \( \boldsymbol{H} \boldsymbol{A}, \) the rate
constant is \( 2 \times 10^{-3} \) min \( ^{-1} \) and in the
presence of an acid \( \boldsymbol{H} \boldsymbol{B}, \) the rate
constant is \( 1 \times 10^{-3} \) min \( ^{-1} \). Given \( H A \)
and \( H B \) both being strong acids, we
may conclude that:
This question has multiple correct options
A. equilibrium constant is 2
B. \( H A \) is stronger acid than \( H B \)
C. relative strength of \( H A \) and \( H B \) is 2
D. \( H A \) is weaker acid than \( H B \) and their relative strength is 0.5
Subject: Chemistry
Which of the following statements is
wrong?
A. Mean free path varies inversely with the number of molecules per unit volume of gas.
B. The time spent during a collision is appreciable and attraction among molecules give rise to force.
C. Mean free path is independent of the temperature or pressure in a sample of gas in a container of fixed volume
D. If \( \lambda \) is mean free path, the \( \lambda \propto T \) at constant \( P \) and \( \lambda \propto \)
\( \frac{1}{P} \) at constant \( T \)
Subject: Physics
In Young's double slit expt. the distance between two sources is \( 0.1 \mathrm{mm} \). The
distance of the screen from th source is
20 cm. Wavelength of light used is 5460
A. The angular position of the first dark fringe is
A \( \cdot 0.08^{\circ} \)
B. \( 0.16^{\circ} \)
\( c \cdot 0.20^{\circ} \)
D. \( 0.32^{\circ} \)
Subject: Maths
If \( p \) and \( q \) are the perpendicular distances from origin to the straight
\( \operatorname{lines} x \sec \theta-y \operatorname{cosec} \theta=a \) and
\( \boldsymbol{x} \cos \boldsymbol{\theta}+\boldsymbol{y} \sin \boldsymbol{\theta}=\boldsymbol{a} \cos 2 \boldsymbol{\theta} \)
then which of the following is correct?
\( \mathbf{A} \cdot 4 p^{2}+q^{2}=a^{2} \)
B \( \cdot p^{2}+q^{2}=a^{2} \)
C \( \cdot p^{2}+2 q^{2}=a^{2} \)
D. \( 4 p^{2}+q^{2}=2 a^{2} \)
Subject: Biology
Arrange the following in the descending order of their role in soil erosion
(I) Wind erosion
(ii) Chemical degradation
(iii) Physical degradation
(iv) Water erosion
\( \mathbf{A} \cdot \mathbf{i v} \rightarrow \mathbf{i} \rightarrow \mathbf{i i} \rightarrow \) iii
B. \( i v \rightarrow i i \rightarrow \) ii \( \rightarrow i \)
\( \mathrm{c} \cdot \mathrm{i} \rightarrow \mathrm{ii} \rightarrow \) iii \( \rightarrow \) iv
D. iv \( \rightarrow \) ii \( \rightarrow \) ii \( \rightarrow \) i
Subject: Physics
Assertion
If a charged particle is released from rest in a region of uniform electric and magnetic fields parallel to each other, it will move in straight line.
Reason
The electric field exerts no force on the
particle but the magnetic field does.
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: Physics
The gases carbon-monoxide \( (C O) \) and nitrogen at the same temperature have
kinetic energies \( \boldsymbol{E}_{1} \) and \( \boldsymbol{E}_{2} \) respectively Then
A. \( E_{1}=E_{2} \)
в. \( E_{1}>E_{2} \)
c. \( E_{1}<E_{2} \)
D. \( E_{1} \) and \( E_{2} \) cannot be compared
Subject: Physics
Where \( d \) is width of the strips. Fringe visibility is defined as
\( ^{A} \cdot \frac{I_{m a x}-I_{m i n}}{I_{m a x}+I_{m i n}} \)
B. \( \frac{I_{\max }+I_{\min }}{I_{\max }-I_{\min }} \)
c. \( \frac{I_{\max }-I_{\min }}{I_{\max }} \)
D. \( \frac{I_{\max }+I_{\min }}{I_{\max }+I_{\min }} \)
Subject: Maths
By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial:
\( \boldsymbol{x}^{4}+\mathbf{1} ; \boldsymbol{x}-\mathbf{1} \)
A \( \cdot x^{3}+x^{2}+x+1,3 \)
B. \( x^{3}+x^{2}+x+1,1 \)
c. \( x^{3}+x^{2}+x+1,5 \)
D. \( x^{3}+x^{2}+x+1,2 \)
Subject: Physics
Assertion
In an inelastic collision between two
bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason
In an elastic collision, the linear momentum of the system 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. Assertion is incorrect but Reason is correct
Subject: Physics
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is \( \mu . \) The inclination \( \theta \) of the
plane is:
\( A \cdot \tan ^{-1} \mu \)
B. \( \tan ^{-1} \mu / 2 \)
\( \mathbf{c} \cdot \tan ^{-1} 2 \mu \)
D. \( \tan ^{-1} 3 \mu \)
Subject: Maths
The equation of the straight line which passes through the point (2,-3) and makes an angle of \( \frac{\pi}{4} \) with the axis of \( x \)
is
A. \( x-y=1 \)
В. \( x-y=5 \)
c. \( x y=1 \)
D. \( x+y=5 \)
Subject: Chemistry
Among the following, which one option
have both ionic and covalent bonds?
\( \mathbf{A} \cdot N H_{3} \) and \( N_{2} H_{4} \)
B. \( ^{16} O \) and \( ^{17} O \)
C \( . N H_{4} C l \) and \( N H_{4} N O_{3} \)
D. \( C H_{3} O C H_{3} \) and \( C H_{3} C H_{2} O H \)
\( E \cdot O_{2} \) and \( O_{3} \)
Subject: Maths
If \( \int_{1}^{2} e^{x^{2}} d x=a, \) then \( \int_{e}^{e^{4}} \sqrt{\ln x} d x \) is
equal to
A \( \cdot 2 e^{4}-2 e-a \)
B \( \cdot 2 e^{4}-e-a \)
\( \mathbf{c} \cdot 2 e^{4}-e-2 a \)
D. \( e^{4}-e-a \)
Subject: Maths
If \( \frac{x}{\cos \theta}=\frac{y}{\cos \left(\theta-\frac{2 \pi}{3}\right)}= \)
\( \frac{z}{\cos \left(\theta+\frac{2 \pi}{3}\right)}, \) then \( x+y+z \) is equal to
\( A \)
B.
\( c \cdot-1 \)
D. none of these
Subject: Maths
If \( y=\sin ^{2} x, \) then \( \frac{d y}{d x}= \)
\( \mathbf{A} \cdot \cos ^{2} x \)
B. \( 2 \sin x \)
\( \mathbf{c} \cdot \sin x \cos x \)
D. \( \sin 2 x \)
Subject: Physics
Two soap bubbles of radii \( a \) and \( b \)
combine to form a single bubble of radius \( c \). If \( P \) is the external pressure,
then Surface Tension of the soap solution is:
A \( \cdot \frac{P\left(c^{3}+a^{3}+b^{3}\right)}{4\left(a^{2}+b^{2}+c^{2}\right)} \)
B \( \frac{P\left(c^{3}-a^{3}-b^{3}\right)}{4\left(a^{2}+b^{2}-c^{2}\right)} \)
c. \( P c^{3}-4 a^{2}-4 b^{2} \)
D. \( P c^{3}-2 a^{2}+3 b^{2} \)
Subject: Chemistry
1.375 g of cupric oxide was reduced by heating in a current of hydrogen and the weight of copper obtained was 1.098 g. In another experiment, 1.156 g of copper was dissolved in nitric acid and the
resulting solution was evaporated to dryness. The residue of copper nitrate
when strongly heated was converted
into 1.4476 g of cupric oxide. State the law illustrated by these chemical
combinations.
A. Law of reciprocal proportion
B. Law of multiple proportion
C. Law of constant composition
D. None of these
Subject: Physics
A long solenoid has magnetic field strength of \( 3.14 \times 10^{-2} \mathrm{T} \) inside it
when a current of \( 5 A \) passes through
¡t. The number of turns in 1 m length of the solenoid is
A. 1000
в. 3000
\( c .5000 \)
D. 10000
Subject: Physics
A \( 300 \Omega \) resistor, a \( 0.250 H \) inductor
and a \( 8.00 \mu F \) capacitor are in series
with an ac source with voltage amplitude \( 120 V \) and angular frequency \( 400 r a d / s . \) Which of the following is/are
correct?
This question has multiple correct options
A. Voltage amplitude across the resistor is \( 97.9 V \)
B. Voltage amplitude across the inductor is \( 32.6 \mathrm{V} \)
c. voltage amplitude across the capacitor is \( 102 V \)
D. Voltage amplitude across the resistor is \( 32.6 V \)
Subject: Physics
Assertion
We can calculate angular momentum of bodies of all shapes by the product of moment of inertia and angular velocity
Reason The basic equation of torque i.e.,torque is equal to rate of change of angular momentum is valid for both inertial and
non inertial frames.
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
Which one of the following sets is true set of real values of \( x \) for which the
function, \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x} \ell \boldsymbol{n} \boldsymbol{x}-\boldsymbol{x}+1 \) positive
\( ? \)
в. (0,1)
c. \( (e, \infty) \)
D. (0,1) and \( (1, \infty) \)
Subject: Physics
An arrow shot vertically upwards loses its initial speed by \( 60 \% \) in 3 seconds. The maximum height reached by the
\( \operatorname{arrow} \) is \( \left(g=9.8 m s^{-2}\right) ? \)
A . \( 122.5 m \)
в. \( 44.1 \mathrm{m} \)
c. \( 100 m \)
D. \( 45 \mathrm{m} \)
Subject: Maths
The coefficient of \( x^{3} \) in \( \left(\sqrt{x^{5}}+\frac{3}{\sqrt{x^{3}}}\right)^{6} \)
is
\( \mathbf{A} \cdot \mathbf{0} \)
в. 120
\( c \cdot 420 \)
D. 540
Subject: Maths
Let \( A \) be an invertible matrix. Which of
the following is not true?
A \( \cdot A^{-1}=|A|^{-1} \)
B. \( \left(A^{2}\right)^{-1}=\left(A^{-1}\right)^{2} \)
c. \( \left(A^{T}\right)^{-1}=\left(A^{-1}\right)^{T} \)
D. None of these
Subject: Chemistry
Why is the \( \boldsymbol{E}^{0} \) value of \( \boldsymbol{M} \boldsymbol{n}^{+3} / \boldsymbol{M} \boldsymbol{n}^{+2} \)
couple much more positive than \( \boldsymbol{C r}^{+\mathbf{3}} / \boldsymbol{C r}^{+\mathbf{2}} \)
A. Due to larger third ionisation enthalpy of Mn.
B. Due larger third ionisation enthalpy of Cr.
c. Due to smaller third ionisation enthalpy of Mn.
D. Due to lesser hydration enthalpy of Cr.
Subject: Maths
Let \( \Delta= \)
\( \left|\begin{array}{ccc}\sin \theta \cos \phi & \sin \theta \sin \phi & \cos \theta \\ \cos \theta \cos \phi & \cos \theta \sin \phi & -\sin \theta \\ -\sin \theta \sin \phi & \sin \theta \cos \phi & 0\end{array}\right|, \) then
A. \( \Delta \) is independent of \( \theta \)
B. \( \Delta \) is independent of \( \phi \)
\( \mathrm{c} \cdot \Delta \) is a constant
D. none of these
Subject: Chemistry
Given the best condition for this
transformation:
\( \mathbf{A} \cdot C H_{3} O H, H^{+}(\mathrm{cat.}), \) heat
B. \( H_{2} O, H_{+} \) (cat.), heat
\( \mathbf{c} \cdot M g, \) ether \( , C H_{3} O H \)
\( \mathbf{D} \cdot S O C l_{2}, C H_{3} O H \)
Subject: Physics
A car travels first \( 30 \mathrm{km} \) with a uniform
speed of \( 60 \mathrm{kmh}^{-1} \) and then next 30
\( \mathrm{km} \) with a uniform speed of \( 40 \mathrm{kmh}^{-1} \)
Calculate the total time of journey,
A. 50 min
B. 75 min
\( c .60 \mathrm{min} \)
D. \( 100 \mathrm{min} \)
Subject: Maths
If \( \sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}+\dots \dots \dots \dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4}-\dots \dots \dots \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2} \) then \( x= \)
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot-\frac{1}{2} \)
D. -
Subject: Physics
A cylinder of radius \( R \) and length Lis placed in the uniform electric field \( \mathrm{E} \) parallel to the cylinder axis. The total flux from the curved surface of the cylinder is
given by :
A \( \cdot 2 \pi R^{2} E \)
в. \( \frac{\pi R^{2}}{E} \)
c. \( \frac{\pi R^{2}-\pi R}{E} \)
D. zero
Subject: Chemistry
The efficiency of fuel cell is given by the
expression, \( \eta \) is:
A \( \quad \eta=-\frac{n F E_{c l l}}{\Delta H} \times 100 \)
B. \( \eta=-\frac{n F E_{c l l l}}{\Delta S} \times 100 \)
c. \( _{\eta}=-\frac{n F E_{c l l}}{\Delta A} \times 100 \)
D. None of the above
Subject: Maths
Find the value of \( x, \) if \( \tan 3 x= \)
\( \sin 45^{\circ} \cos 45^{\circ}+\sin 30^{\circ} \)
A . \( 15^{\circ} \)
B . 10
c. \( 45^{\circ} \)
D. \( 25^{\circ} \)
Subject: Chemistry
The binding energy of electrons in a metal is \( 193 \mathrm{kJ} \mathrm{mol}^{-1} \). The threshold
frequency of the metal is:
A. \( 8.83 \times 10^{14} \mathrm{s}^{-1} \)
B. 4.83 \( \times 10^{14} \mathrm{s}^{-1} \)
c. \( 5.83 \times 10^{14} \mathrm{s}^{-1} \)
D. 6.83 \( \times 10^{14} \mathrm{s}^{-1} \)
Subject: Chemistry
In the reaction, \( 2 N_{2} O_{5} \rightarrow 4 N O_{2}+O_{2} \)
initial pressure is 500 atm and rate
constant \( k \) is \( 3.38 \times 10^{-5} s e c^{-1} . \) After 10
minutes the final pressure of \( N_{2} O_{5} \) is:
A. 490 atm
B. 250 atm
c. 480 atm
D. 420 atm
Subject: Physics
The stress-strain plot for wires made of two materials (I and II) is presented
schematically in the accompanying
figure. The points \( C_{I} \) and \( C_{I I} \) represent
fracture points of the two materials
and II respectively. It can be concluded
from these graphs that
A. material I has Young's modulus larger than that of materia
B. the linear region of material I extends to a larger valu of stress than that of material II
c. both materials I and II are equally brittle
D. material l is more ductile than materia
Subject: Physics
The maximum Coulomb force that can
act on the electron due to the nucleus in
a hydrogen atom will be:-
A. \( 0.82 \times 10^{-8} N \)
N \( . . ~ \)
В. \( 0.082 \times 10^{-8} N \)
c. \( 8.2 \times 10^{-8} N \)
D. \( 820 \times 10^{-8} N \)
Subject: Chemistry
A following mechanism has been proposed for a reaction:
\( \mathbf{2} \boldsymbol{A}+\boldsymbol{B} \rightarrow \boldsymbol{D}+\boldsymbol{E} \)
\( \boldsymbol{A}+\boldsymbol{B} \rightarrow \boldsymbol{C}+\boldsymbol{D} \quad(\text { slow }) \)
\( \boldsymbol{A}+\boldsymbol{C} \rightarrow \boldsymbol{E} \quad(\text { fast }) \)
The rate law expression for the reaction
is:
\( \mathbf{A} \cdot \mathbf{r}=k[A]^{2}[B] \)
B. \( r=k[ \) A][B]
\( \mathbf{C} \cdot r=k[A]^{2} \)
D. \( r=k[A][C] \)
Subject: Physics
Initially a body is a rest. If its
acceleration is \( 5 m s^{-2} \) then the
distance travelled in the \( 18^{t h} \) second is:
\( \mathbf{A} \cdot 86.6 m \)
B. \( 87.5 m \)
\( c .88 m \)
D. \( 89 m \)
Subject: Physics
Both the nucleus and the atom of some
element are in their respective first excited states. They get de-excited by
emitting photons of wavelengths \( \boldsymbol{\lambda}_{N}, \boldsymbol{\lambda}_{\boldsymbol{A}} \)
respectively. The ratio \( \frac{\lambda_{N}}{\lambda_{A}} \) is closest to:
A \( \cdot 10^{-6} \)
B . 10
\( c \cdot 10^{-1} \)
D. \( 10^{-10} \)
Subject: Chemistry
Formulate a call for each of the
following reactions; \( S n^{2+}(a q)+2 A g C l(s) \longrightarrow S n^{4+}(a q)+ \)
\( 2 A g(s)+2 C l^{-}(a q) \)
\( M g(s)+B r_{2}(l) \longrightarrow M g^{2+}(a q)+ \)
\( 2 B r^{-}(a q) \)
Subject: Chemistry
\( \mathbf{a} \)
b
\( d \)
As
\( \mathrm{Sn} \)
\( e \) Te What are a, b, c, d and e in the given
figure ?
\( A \cdot a=S i b=P c=S d=G e e=S b \)
\( B \cdot a=\sin b=P c=S d=S b e=G e \)
\( \mathbf{C} \cdot a=\mathrm{Si} \mathrm{b}=\mathrm{P} \mathrm{c}=\mathrm{Sb} \mathrm{d}=\mathrm{S} \mathrm{e}=\mathrm{Ge} \)
D. \( a=P b=S c=S i d=G e e=S b \)
Subject: Chemistry
If \( C C l_{3} F \) is present in the stratosphere, it will react with which of the following:
A) Ozone
\( \begin{array}{ll}\text { B) } N_{2} & \text { C) } C O_{2}\end{array} \)
\( A \cdot A \)
B. B
c. \( A \& B \)
\( D \cdot c \& A \)
Subject: Maths
The function \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2} \) is
A. injective but not surjective
B. surjective but not injective
c. injective as well as surjective
D. neither injective nor surjective
Subject: Physics
A particle starts moving such that position with respect to origin 0 varies with time \( t \) as \( x\{t\}=2 t \) m. Find
(a) average velocity between (i) \( t=0 \& t \) \( =1 s(i i) t=0 \& t=2 s \)
(iii) \( t=1 s \& t=2 s \)
(b) instantaneous velocity at general
time t.
Subject: Maths
f \( a, b, c \) be positive and \( a b(a+b)+ \)
\( \boldsymbol{b} \boldsymbol{c}(\boldsymbol{b}+\boldsymbol{c})+\boldsymbol{c} \boldsymbol{a}(\boldsymbol{c}+\boldsymbol{a}) \geq \boldsymbol{\lambda} \boldsymbol{a} \boldsymbol{b} \boldsymbol{c}, \) then
value of \( \lambda \) is
Subject: Physics
What is the dimensional formula of
Inductance?
\( \mathbf{A} \cdot\left[M L^{2} T^{-2} A^{-2}\right] \)
B . \( \left[M L^{2} T A^{-2}\right] \)
\( \mathbf{c} \cdot\left[M L^{2} T^{-1} A^{-2}\right. \)
D \( \cdot\left[M L^{2} T^{-2} A^{-1}\right] \)
Subject: Chemistry
A water sample contains 81 ppm of
\( \boldsymbol{C a}\left(\boldsymbol{H} \boldsymbol{C O}_{3}\right)_{2}, 73 \) ppm of \( \boldsymbol{M} \boldsymbol{g}\left(\boldsymbol{H} \boldsymbol{C O}_{3}\right)_{2} \)
68 ppm of \( C a S O_{4} \) and 60 ppm of
\( M g S O_{4} . \) What is the hardness of the
Water sample? (Atomic weights of calcium, magnesium and sulphur are respectively 40,24 and 32 ).
A. 50 ppm
B. 100 ppm
c. 150 ppm
D. 200 ppm
Subject: Physics
The accuracy in the measurement of
the diameter of hydrogen atom as
\( 1.06 \times 10^{-10} m \) is
A . 0.11
B . \( 106 \times 10^{10} \)
\( c \cdot \frac{1}{1 \frac{1}{166}} \)
D. \( 0.01 \times 10 \)
Subject: Maths
One angle of a seven-sided polygon is
\( 114 . \) and each of the other six angles is \( x \)
\( 0^{0} \) The value of \( x \) is
A \( .114^{\circ} \)
B . \( 121^{\circ} \)
\( c \cdot 131^{0} \)
D. \( 151^{\circ} \)
Subject: Chemistry
The vapours of organic compound was burnt in oxygen. Equal volume of both gaseous substance were taken at same
pressure and temperature. After the reaction, the system was returned to the original condition and it turn out that its volume has not changed. The product of combustion contain \( 50 \% \)
\( C O_{2}(g) \) and \( 50 \% H_{2} O(g) \) by volume and
no other gas. Find the molecular weight of organic compound (in gram/mol) in
question.
A . 30
B. 35 5
\( c \cdot 40 \)
D. 46
Subject: Chemistry
\( \Delta G_{f}^{o} \) (standard free energy of formation) of \( Z n O \) and \( C O \) are \( -318.2 \mathrm{kJ} \)
\( \mathrm{mol}^{-1} \) and \( -137.3 \mathrm{kJ} \mathrm{mol}^{-1} \) respectively.
\( Z n O+C \longrightarrow Z n+C O \)
The approximate value of \( \Delta G_{f}^{o} \) in kJmol
-1 for the above reaction is
\( \mathrm{kJ} \mathrm{mol}^{-1} \)
[Write your answer in form of inearest integer]
Subject: Maths
Find the approximate value of mode for
the following data:
\( \begin{array}{lllll}\text { Marks } & 50- & 60- & 70- & 80 \\ & 60 & 70 & 80 & 900\end{array} \)
Students 24 12
\( \mathbf{A} \cdot 71 \)
B. 72
\( c \cdot 73 \)
D. 74
Subject: Physics
rectangular conductor \( L M N O \) is placed in a uniform magnetic field of \( 0.5 T . \) The field is directed
perpendicular to the plane of the conductor. When the arm \( M N \) of length \( 20 \mathrm{cm} \) is moved towards left with
velocity of \( 10 m s^{-1} \) calculate the emf
induced in the arm. Given the
resistance of the arm to be \( 5 \Omega \) assuming that other arms are of regligible resistance) find the value of
the current in the arm
\( \left.\begin{array}{l}\mathbf{X}_{\mathrm{L}} \mathbf{X}^{\overrightarrow{\mathbf{B}}} \mathbf{X} & \mathbf{X} \times \mathbf{X} \\ \mathbf{X} \\ \mathbf{X} \\ \mathbf{X} & \mathbf{X} & \mathbf{X} \\ \mathbf{X} & \mathbf{X} & \mathbf{X} \mathbf{X} \\ \mathbf{X} & \mathbf{X} & \mathbf{X} \mathbf{X} \\ \mathbf{X} & \mathbf{X} & \mathbf{X} \\ \mathbf{X} & \mathbf{X} & \mathbf{X} & \mathbf{X} \\ \mathbf{X}^{\mathbf{o}} & \mathbf{X} & \mathbf{X} & \mathbf{X}\end{array}\right] \underset{\mathbf{X}}{\mathbf{X}}_{\mathbf{X}} \mathbf{X}_{\mathbf{X}} \mathbf{X}_{\mathbf{X}} \mathbf{X} \)
Subject: Chemistry
A water sample has ppm level concentration of following anions \( \boldsymbol{F}^{-}=\mathbf{1 0} ; \boldsymbol{S} \boldsymbol{O}_{4}^{2-}=\mathbf{1 0 0} ; \boldsymbol{N} \boldsymbol{O}_{3}^{-}=\mathbf{5 0} \)
The anion/anions that make/makes the
water sample unsuitable for drinking is/are:
A. both \( S O_{4}^{2-} \) and \( N O_{3} \)
B . only \( F^{-} \)
C . only \( S O_{4}^{2} \)
D. only \( N O_{3}^{-} \)
Subject: Maths
Construct a quadrilateral ABCD with Four sides \( : A B=3 \mathrm{cm}, \mathrm{BC}=4 \mathrm{cm}, \mathrm{CD} \)
\( =4.5 \mathrm{cm} \) and \( \mathrm{AD}=3.8 \mathrm{cm} ; \angle A B C=90^{0} \)
Subject: Physics
A body tied to a string of length Lis
revolved in a vertical circle with
minimum velocity, when the body
reaches the upper most point the string breaks and the body moves under the
influence of the gravitational field of earth along a parabolic path.
The horizontal range \( A C \) of the body will be:
A \( . x=L \)
В . \( x=2 L \)
c. \( x=2 \sqrt{2 L} \)
D. \( x=\sqrt{2 L} \)
Subject: Physics
A stationary light, smooth pulley can rotate without friction about a fixed
horizontal axis. A light rope passes over
the pulley. One end of the rope supports
a ladder with man and the other end
supports a counterweight of mass \( \mathrm{M} \)
Mass of the man is m. Initially, the
centre of mass of the counterweight is
at a height h from that of man as shown
in figure.

If the man starts to climb up the ladder
slowly, calculate work done by him to
reach his centre of mass in level with
that of the counterweight
Subject: Chemistry
0.1 mol each of ethyl alcohol and acetic
acid are allowed to react and at
equilibrium, the acid was exactly neutralised by \( 100 \mathrm{mL} \) of \( 0.85 \mathrm{N} \) NaOH. If no hydrolysis of ester is supposed to
have undergo, find \( \boldsymbol{K}_{\boldsymbol{C}} \)
A. \( K_{C}=0.006 \)
в. \( K_{C}=0.031 \)
C . \( K_{C}=1.34 \)
D. \( K_{C}=3.1 \)
Subject: Chemistry
A compound contains two elements 'X'
and 'Y' in the ratio of \( 50 \% \) each. Atomic
mass of 'X' is 20 and 'Y' is \( 40 . \) What can
be its simplest formula?
A. \( x y \)
в. \( X_{2} Y \)
\( \mathrm{c} \cdot \mathrm{XY}_{2} \)
D. \( X_{2} Y_{3} \)
Subject: Physics
A reciever has a pressure of \( 144 \mathrm{cm} \) of \( \mathrm{Hg} \) After two strokes with an exhaust pump,
the pressure is \( 36 \mathrm{cm} \) of Hg. After another
two strokes the pressure will be.
\( \mathbf{A} \cdot \) 9cm of \( \mathrm{Hg} \)
B. \( 2.4 \mathrm{cm} \) of \( \mathrm{Hg} \)
\( \mathbf{C} . \) 6cm of \( \mathrm{Hg} \)
D. \( 3 \mathrm{cm} \) of \( \mathrm{Hg} \)
Subject: Physics
Assertion
Dielectric material (dielectric for short)
is an electrical insulator that can be
polarized by an applied electric field.
Reason

Electric field attracts the polarised or
even non polarised atoms in a element
and those atoms get collected on the
Surface
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 circular wire of diameter 30 mm is
placed \( 25 \mathrm{cm} \) away from a concave mirror of focal length \( 10 \mathrm{cm} . \) If area of
image is \( X \pi m m^{2}, \) what is the value of
x? The centre of the wire is on the axis of
the mirror, with its plane normal to the axis.