AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
For the type of interactions : (I) covalent bond, (II) van der Waals' forces, and (III)
hydrogen bonding, which represents the correct order of increasing stability?
A. \( (I)<(I I I)<(I I) \)
B. \( (I I)<(I I I)<(I) \)
C. \( (I I I)<(I I)<(I) \)
D. \( (I I)<(I)<(I I I) \)
Subject: Physics
A light beam parallel to axis is incident
on the system of four convex lenses
\( A, B, C \) and \( D . \) Focal lengths of \( A, B, C \)
and \( D \) are \( 30 \mathrm{cm}, 10 \mathrm{cm}, 30 \mathrm{cm} \) and
\( 10 \mathrm{cm}, \) respectively as shown. Here, fixed distance \( B C=20 \mathrm{cm} . \) What
should be the distance between the lens
\( A \) and lens \( D \) so that after refractions,
rays will be parallel to axis in region I, III and V?
\( \mathbf{A} \cdot 40 \mathrm{cm} \)
B. \( 100 \mathrm{cm} \)
c. \( 80 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
Subject: Physics
An ultrasonic source emits sound of frequency \( 220 \mathrm{kHz} \) in air. If this sound meets a water surface, what is the
wavelength of the transmitted sound? (At the atmospheric temperature, speed of sound in air \( = \)
\( 352 m s^{-1} \)andinwater\( =1.496 m s^{-1} \)
A \( .5 .8 \times 10^{-3} \mathrm{m} \)
В. \( 6.8 \times 10^{-3} \mathrm{m} \)
c. \( 7.8 \times 10^{-3} m \)
D. \( 8.8 \times 10^{-3} \mathrm{m} \)
Subject: Physics
A square loop of side a is rotating about
its diagonal with angular velocity \( \omega \) in
perpendicular magnetic field \( \overline{\boldsymbol{B}}, \) figure It has 10 turns. The e.m.f. induced is?
A. \( B a^{2} \) sinwt
B. \( B a^{2} \)coswt
D. \( 10 B a^{2} \omega \) sinw
Subject: Biology
Mrs. Mehra, who is 32 years old
underwent a surgery to get her oviducts removed after having a girl. Now, she wants to another baby. Do you think she can have another baby?
A. Yes, she can have another baby as her ovaries are still functional to produce an egg
B. No, she cannot have another baby because of fertilization of egg place in the oviducts
c. Yes, she can have another baby
D. No, she cannot have another baby as the hormones associated with the oviduct will not be present
Subject: Physics
At the polarising angle \( \left(\boldsymbol{\theta}_{B}\right), \) angle of refraction is given by :
A \( .90^{\circ} \)
В. \( 90^{\circ}+\theta_{B} \)
c. \( 90^{\circ}-\theta_{B} \)
D. \( \frac{90^{\circ}}{\theta_{B}} \)
Subject: Physics
Equation of a stationary wave is given by
A. \( y=A \sin (k x-\omega t) \)
B. \( \mathrm{y}=2 \mathrm{A} \sin k x . \cos \omega t) \)
c. \( \mathrm{y}=\mathrm{A} \cos 2 \pi(\mathrm{kx}-\mathrm{t} / \mathrm{T}) \)
D. \( y=A \cos (2 \pi t / I) \)
Subject: Maths
The solution of the equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
\( \frac{y}{x}\left(\log \frac{y}{x}+1\right) \) is
\( ^{A} \cdot \log \frac{y}{x}=c x \)
в. \( \frac{y}{x}=\log y+c \)
c. \( y=\log y+1 \)
D. \( y=x y+c \)
Subject: Physics
A ray of light is incident on a plane
mirror at an angle of \( 30^{\circ} . \) At what angle
with the horizontal must a plane mirror be placed so that the reflected ray becomes vertically upwards?
\( A \cdot 40^{\circ} \)
B. 20 \( ^{\circ} \)
\( c \cdot 30 \)
D. \( 60^{\circ} \)
Subject: Physics
A mass \( m \) moves with a velocity \( v \) and collides inelastically with another identical mass. After collision, the 1 st
mass moves with velocity \( \frac{v}{\sqrt{3}} \) in a
direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision
A \( \cdot \frac{2 v}{\sqrt{3}} \)
B. \( \frac{v}{\sqrt{3}} \)
\( ^{c} \cdot \sqrt{\frac{2}{3}} \)
D. The situation of the problem is not possible without external impulse
Subject: Biology
Tanvi bought ten food items from the supermarket, which are wheat, bananas, mushrooms, onions, Porphyra(Laver), Kelps, pine seeds, Sphagnum moss, lady's fingers and potatoes. Based on hierarchical classification, how many different phyla/divisions do these items belong
to?
\( A .3 \)
B. 4
\( c .5 \)
D. 6
Subject: Physics
An AC source of angular frequency \( \omega \) is
fed across a resistor \( r \) and a capacitor
\( C \) in series. The current registered is \( I \) If now the frequency of source is changed to \( \omega / 3 \) (but maintaining the same voltage), the current in the circuit is found to be halved. Calculate the ratio
of reactance to resistance at the
original frequency \( \omega \)
A \( \cdot \sqrt{\frac{3}{5}} \)
B. \( \sqrt{\frac{2}{5}} \)
c. \( \sqrt{\frac{1}{5}} \)
D. \( \sqrt{\frac{4}{5}} \)
Subject: Chemistry
Out of \( F e O_{4}^{2-}, F e C l_{3}, F e C l_{2} \) and \( F e \)
This question has multiple correct options
A. best reducing agent is \( F e \)
B. best oxidising agent is \( F e O_{4}^{2} \)
c. best oxidising agent is \( F e C l_{3} \)
D. best reducing agent is \( F e O_{4}^{2} \)
Subject: Maths
The equation \( 2 \cos ^{-1} x= \) \( \sin ^{-1}(2 x \sqrt{1-x^{2}}) \) is valid for all values
of \( x \) satisfying
A. \( -1 \leq x \leq 1 \)
в. \( 0 \leq x \leq 1 \)
c. \( 0 \leq x \leq 1 / \sqrt{2} \)
D. \( 1 / \sqrt{2} \leq x \leq 1 \)
Subject: Chemistry
Which of the following statement(s)
is/are true?
This question has multiple correct options
A. The ratio of the mean velocity to the rms velocity of a gas molecule is independent of temperature.
B. The square of the most probable speed of the gas molecules is equal to four times its average speed.
C. Mean kinetic energy of a gas depends on its mass and temperature but does not depend on volume or
pressure.
D. The difference between rms velocity and mean velocity at any temperature for different gases decreases for gases with large molar mass.
Subject: Chemistry
Which of the following statements are
correct?
1. On the application of an electric field, the particles of Iyophobic sol may move either direction or not move at all.
2. The surface tension of Iyophobic sols is similar to that of the dispersion medium.
3. Electro-osmosis is the movement of
the particles of dispersion medium under the influence of an electric field.
A. 1,2 and 3
B. 1 and 3
c. 2 and 3
D. 1 and 2
Subject: Maths
The direction cosines of \( A B \) are -2,2,1
If \( \boldsymbol{A} \equiv(\mathbf{4}, \mathbf{1}, \mathbf{5}) \) and \( l(\boldsymbol{A} \boldsymbol{B})=\mathbf{6 u n i t s} \)
find the coordinates of \( \boldsymbol{B} \)
Subject: Maths
The value of \( ^{10} \boldsymbol{C}_{4}+^{9} \boldsymbol{C}_{4}+^{8} \boldsymbol{C}_{4}+\ldots+^{5} \)
\( C_{4} \) is \( -\dots \)
A. \( 11 C_{5} \)
B. \( ^{11} C_{4} \)
c. \( ^{11} C_{7} \)
D. \( ^{11} C_{5}-1 \)
Subject: Maths
The areas of two similar triangles are \( 100 \mathrm{cm}^{2} \) and \( 64 \mathrm{cm}^{2} \). If the median of
greater side of first triangle is \( 13 \mathrm{cm} \) find the corresponding median of the other triangle.
A . \( 20 \mathrm{cm} \)
B. \( 15 \mathrm{cm} \)
c. \( 10 \mathrm{cm} \)
D. \( 16 \mathrm{cm} \)
Subject: Physics
An electric iron draws a current of \( 15 \mathrm{A} \)
from a \( 220 \mathrm{V} \) supply. What is the cost of using iron for 30 min everyday for 15 days if the cost of unit (1 unit \( =1 \mathrm{k} \) W hr)
is 2 rupees?
A. Rs. 49.5
B. Rs. 60
c. Rs. 40
D. Rs. 10
Subject: Chemistry
Assertion
Proton, electron and neutron each has its antiparticle.
Reason
Antiproton and antielectron has
opposite charge to proton and electron are called antiproton and positron
respectively. Antineutron possess only opposite spin.
A. Assertion is correct but Reason is wrong
B. Assertion is wrong but Reason is correct
C. Both Assertion and Reason are correct and Reason is correct explanation of Assertion
D. Both Assertion and Reason are correct but Reason is not correct explanation of Assertion
Subject: Chemistry
Select the correct option(s) for an ideal
gas.
This question has multiple correct options
A. Most probable speed increases with increase in temperature
B. Fraction of particles moving with most probable speed increases with increase in temperature
C. Fraction of particles moving with most probable speed are more for \( C l_{2} \) than \( H_{2} \) under similar condition of \( T \)
\( P \& V \)
D. Most probable speed is more \( C l_{2} \) than \( H_{2} \) at same temperature
Subject: Physics
Let \( \vec{a} \) and \( \vec{b} \) be unit vectors inclined at
an variable angle \( \boldsymbol{\theta}\left(\boldsymbol{\theta \epsilon}\left(\mathbf{0}, \frac{\pi}{2}\right)\left(\frac{\pi}{2}, \boldsymbol{\pi}\right)\right) \)
\( \operatorname{Let} g(\theta)=\int_{-(\vec{\alpha} . \vec{b})^{2}}^{-\lambda} f^{2}(x) d x+ \)
\( \int_{\lambda}^{|\vec{a} \times \vec{b}|^{2}} f^{2}(x) d x-\frac{2}{\lambda}, w h e r e \lambda>0, \) is
function satisfying \( \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})= \)
\( \frac{\boldsymbol{x}+\boldsymbol{y}}{\boldsymbol{x} \boldsymbol{y}}, \boldsymbol{x}, \boldsymbol{y} \epsilon \boldsymbol{R}-[\mathbf{0}] \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{h}(\boldsymbol{\theta})= \)
\( -g(\theta)+|\vec{a} \times \vec{b}|^{2} \cdot\left(\vec{a} \cdot \vec{b}_{1}\right)^{2}, \vec{b}_{1}=2 \vec{b} \)
\( \mathbf{f}|\boldsymbol{g}(\boldsymbol{\theta})| \) is attaining its minimum value, then minimum distance between origin and the point of intersection of lines \( \vec{r} \times \vec{a}=\vec{a} \times \vec{b} \) and \( \vec{r} \times \vec{b}=\vec{b} \times \vec{a} \)
is
A. \( \sqrt{2-\sqrt{2}} \)
в. \( \sqrt{2+\sqrt{2}} \)
c. \( \sqrt{\sqrt{2}+1} \)
D. \( \sqrt{\sqrt{2}-1} \)
Subject: Chemistry
Which of the following compounds will show the maximum enol content?
A. \( C H_{3} C O C H_{2} C O C H_{3} \)
в. \( C H_{3} \) СОСН\( _{3} \)
c. \( C H_{3} C O C H_{2} C O N H_{2} \)
D. \( C H_{3} C O C H_{2} C O O C_{2} H_{5} \)
Subject: Chemistry
The equilibrium constants for the
stepwise formation of \( M C l, M C l_{2} \) and
\( M C l_{3} \) are \( a, b \) and \( c \) respectively. If the equilibrium constant of formation of
\( M C l_{3} \) is \( K, \) which of the following is
correct?
A \( . \log K=\log a+\log b+\log c \)
в. \( K=a+b+c \)
c. \( \frac{1}{K}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \)
D. \( \frac{1}{K}=\frac{1}{a} \times \frac{1}{b} \times \frac{1}{c} \)
Subject: Maths
The solution of \( \frac{d y}{d x}=\left(\frac{y}{x}\right)^{1 / 3} \) is:
\( \mathbf{A} \cdot x^{2 / 3}+y^{2 / 3}=c \)
B \( \cdot y^{2 / 3}-x^{2 / 3}=c \)
\( \mathbf{C} \cdot x^{1 / 3}+y^{1 / 3}=c \)
D \( \cdot y^{1 / 3}-x^{1 / 3}=c \)
Subject: Physics
A ball is dropped from an elevator
moving upward with acceleration \( ^{\prime} a^{\prime} \) by
a boy standing in it. The acceleration of ball with respect to [Take upward direction positive \( ] \)
A. Boy is \( -g \)
B. Boy is \( -(g+a) \)
c. Ground is \( -g \)
D. Both (2) \& (3)
Subject: Chemistry
Calculate the product of boiling point of water and melting point of water in Celsius scale.
\( \mathbf{A} \cdot 0^{\circ} C \)
B. \( 273^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 100^{\circ} \mathrm{C} \)
D. \( 373^{\circ} \mathrm{C} \)
Subject: Chemistry
Which of the following is a weak acid?
A. \( \mathrm{H}_{2} \mathrm{Te} \)
в. \( \mathrm{H}_{2} \mathrm{Se} \)
c. \( \mathrm{H}_{2} \)
D. \( \mathrm{H}_{2} \mathrm{Po} \)
Subject: Maths
Resolve \( \frac{x^{4}}{(x-1)^{4}(x+1)} \) into partia
fractions.
A \( \cdot \frac{1}{2(x-1)^{4}}-\frac{7}{4(x-1)^{3}}+\frac{17}{8(x-1)^{2}}+\frac{15}{16(x-1)}+\frac{1}{16} \)
\( \frac{1}{(x+1)} \)
B. \( \frac{1}{2(x-1)^{4}}+\frac{7}{4(x-1)^{3}}+\frac{17}{8(x-1)^{2}}+\frac{15}{16(x-1)}+\frac{1}{16} \)
\( \frac{1}{(x+1)} \)
C \( \frac{1}{2(x-1)^{4}}+\frac{5}{4(x-1)^{3}}+\frac{17}{8(x-1)^{2}}+\frac{15}{16(x-1)}+\frac{1}{16} \)
\( \frac{1}{(x+1)} \)
D \( \frac{1}{2(x-1)^{4}}+\frac{7}{4(x-1)^{3}}+\frac{13}{8(x-1)^{2}}+\frac{15}{16(x-1)}+\frac{1}{16} \)
\( \frac{1}{(x+1)} \)
Subject: Maths
\( \int \frac{d x}{4 \sin ^{2} x+4 \sin x \cos x+5 \cos ^{2} x}= \)
\( A \cdot \tan ^{-1}(2 \tan x+1)+c \)
B. \( \tan ^{-1}\left(\tan x+\frac{1}{2}\right)+c \)
c. \( \frac{1}{8} \tan ^{-1}\left(\tan x+\frac{1}{2}\right)+c \)
D. \( \frac{1}{4} \tan (2 \tan x+1)+c \)
Subject: Maths
\( \lim _{x \rightarrow a} \frac{x^{m}-a^{m}}{x-a}= \)
\( \mathbf{A} \cdot m a^{m-1} \)
B. \( m a^{m} \)
c. \( \frac{1}{m} a^{n} \)
D. \( a^{m-1} \)
Subject: Chemistry
\( C u S O_{4} \) when reacts with \( K C N \) forms
\( C u C N \) which is insoluble in water. It is
soluble in excess of \( K C N, \) due to
formation of the following complex:
A \( \cdot K_{2}\left[C u(C N)_{4}\right] \)
в. \( K_{3}\left[C u(C N)_{4}\right] \)
c. \( C u C N_{2} \)
\( \mathbf{D} \cdot \operatorname{cu}\left[K C u(C N)_{4}\right] \)
Subject: Physics
\( 4 \mu F \) and \( 6 \mu F \) capacitors are joined in series and \( 500 v \) are applied between
the outer plates of the system. What is the charge on each plate?
A \( \cdot 1 \cdot 2 \times 10^{3} C \)
в. \( 6 \cdot 0 \times 10^{3} C \)
\( \mathrm{c} \cdot 5 \cdot 0 \times 10^{-3} \mathrm{C} \)
D. \( 2 \cdot 0 \times 10^{-3} C \)
Subject: Physics
Assertion
The kinetic energy of electrons in a metallic wire will increase, if the
temperature of the wire is increased
Reason
On increasing temperature, conductivity of metallic wire decreases
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
\( 0.5 \mathrm{ml} \) of \( H_{2} \) and 0.5 mole of \( I_{2} \) react in
10 litre flask at \( 448^{\circ} \mathrm{C} \). The equilibrium
constant \( \boldsymbol{K}_{c} \) is \( \mathbf{5 0} \) for \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( 2 H I(g) \)
What is the value of \( \boldsymbol{K}_{\boldsymbol{p}} \) ?
A . 50
B. 20
c. 10
D. 40
Subject: Chemistry
Which of the following has lowest \( C-0 \) bond order?
\( \mathbf{A} \cdot\left[N i(C O)_{4}\right] \)
В \( \cdot\left[\mathrm{CoCO}_{4}\right]^{-} \)
c. \( \left[F e(C O)_{4}\right]^{2} \)
D. \( \left[M n(C O)_{6}\right]^{+} \)
Subject: Chemistry
Which one of the following is an inner orbital complex as well as diamagnetic in behaviour?
A \( \cdot\left[\operatorname{Zn}\left(N H_{3}\right)_{6}\right]^{2} \)
в. \( \left[Z i\left(N H_{3}\right)_{6}\right]^{2+} \)
\( \mathbf{c} \cdot\left[C r\left(N H_{3}\right)_{6}\right]^{3} \)
D \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3+} \)
Subject: Biology
In non-cyclic photophosphorylation there is photolysis of 12 water
molecules. How many \( \boldsymbol{H}^{+} \) are formed?
A \( .24 H^{+} \)
B . 36 \( H^{+} \)
c. \( 12 H^{+} \)
D . 32 \( H^{+} \)
Subject: Chemistry
If spin quantum number are \( -\frac{1}{2}, 0,+\frac{1}{2} \) based on the above assumption electronic configuration of the elements with atomic number 30 is:
B . \( 1 s^{3} 1 p^{15} 2 s^{3} 1 d^{9} \)
C \( \cdot 1 s^{9} 1 p^{15} 2 s^{6} \)
D \cdot \( 1 s^{3} 19^{p} 2 s^{3} 2 p^{9} 1 d^{6} \)
Subject: Chemistry
An oxide \( X \) in its normal form is almost
non-reactive due to very high \( X-0 \) bond enthalpy. It resists the attack by halogens, hydrogen and most of acids and metals even at elevated
temperatures. It is only attacked by HF and NaOH. The oxide X is :
A. \( \operatorname{si} 0_{2} \)
в. \( C O_{2} \)
\( \mathrm{c} \cdot \operatorname{sn} \mathrm{O}_{2} \)
D. \( P b O_{2} \)
Subject: Physics
A cell supplies a current of \( 0.9 A \)
through a \( 2 \Omega \) resistor and a current of \( 0.3 A \) through a \( 7 \Omega \) resistor. The
internal resistance of the cell is :-
\( \mathbf{A} \cdot 1.0 \Omega \)
B. \( 0.5 \Omega \)
c. \( 2.0 \Omega \)
D. \( 1.2 \Omega \)
Subject: Physics
A vehicle moving at a speed of \( 15 \mathrm{m} / \mathrm{s} \) is stopped by applying brakes which produce a uniform acceleration of -0.5
\( m / s^{2} . \) The distance covered by the vehicle before it stops is:
A . \( 100 \mathrm{m} \)
B. 200 \( \mathrm{m} \)
c. 250 \( \mathrm{m} \)
D. 225 m
Subject: Physics
In the given figure, electric lines of force
diagram is shown. Then:
A \( \cdot E_{A}<E_{B} \)
В. \( E_{A}>E_{B}>E_{C} \)
\( \mathbf{c} \cdot E_{C}>E_{B} \)
\( \mathbf{D} \cdot E_{A}=E_{B}=E_{C} \)
Subject: Chemistry
Vapour pressure of \( C C l_{4} \) at \( 25^{\circ} C \) is 143 mm \( H g \). If \( 0.5 g m \) of non-volatile solute (mol. mass 65 ) is dissolved in
\( 100 m l C C l_{4}, \) then the vapour pressure
of the solution at \( 25^{\circ} \mathrm{C} \) is:
[Given: density of \( \left.C C l_{4}=1.58 g / c m^{3}\right] \)
\( \mathbf{A} \cdot 141.93 m m \)
B . \( 94.39 \mathrm{mm} \)
c. \( 199.34 \mathrm{mm} \)
D. \( 143.99 \mathrm{mm} \)
Subject: Chemistry
Which of the following relationships is not correct for the reaction between
\( \Delta H \) and \( \Delta U ? \)
A. When \( \Delta n_{g}=0 \) then \( \Delta H=\Delta U \)
B. When \( \Delta n_{g}> \) O then \( \Delta H>\Delta U \)
C. When \( \Delta n_{g}<0 \) then \( \Delta H<\Delta U \)
D. when \( \Delta n_{g} R T=0 \) then \( \Delta H>\Delta U \)
Subject: Physics
\( \ln \)
S.I. system, the value of \( \varepsilon_{0} \) is:
\( \mathbf{A} \cdot 1 C^{2} N^{-1} m^{-1} \)
B \( \cdot 9 \times 10^{9} C^{2} N^{-1} m^{-2} \)
C \( \cdot \frac{1}{9 \times 10^{9}} C^{2} N^{-1} m^{-2} \)
D. \( \frac{1}{4 \pi \times 9 \times 10^{9}} C^{2} N^{-1} m^{-2} \)
Subject: Maths
A circular disc of radius \( 7 \mathrm{cm} \) has a
sector of angle 45 degrees cut out. The area of the remaining part of the disc is
A \( \cdot \) 134.75 \( c m^{2} \)
B . \( 144.75 \mathrm{cm}^{2} \)
c. \( 269.5 \mathrm{cm}^{2} \)
D. None of these
Subject: Maths
If \( f(x)=\frac{1}{(1-x)} \) then \( (\text { fofof })(x)=? \)
A \( \cdot \frac{1}{(1-3 x)} \)
в. \( \frac{x}{(1+3 x)} \)
c. \( x \)
D. None of these
Subject: Maths
If \( (3, \lambda, \mu) \) is a point on the line then
\( 2 x+y+z=0=x-2 y+z-1 \) then
A \( \cdot \lambda=\frac{-8}{3}, \mu=-\frac{1}{3} \)
B. \( \lambda=\frac{-1}{3}, \mu=-\frac{8}{3} \)
c. \( \lambda=\frac{-4}{3} \mu=\frac{-14}{3} \)
D. \( \lambda=-5, \mu=-1 \)
Subject: Maths
Construct \( \triangle \boldsymbol{A B C} \) given \( \boldsymbol{m} \angle \boldsymbol{A}=\boldsymbol{6 0}^{\boldsymbol{o}} \)
\( \boldsymbol{m} \angle \boldsymbol{B}=\mathbf{3 0}^{\boldsymbol{o}} \) and \( \boldsymbol{A B}=\mathbf{5 . 8 c m} \)
Subject: Chemistry
Assertion
The energy profile of the reaction \( \boldsymbol{A}+ \)
\( B \rightleftharpoons C \) is given as above, then the K of
the above equilibrium increases with
increase of temperature
Reason
Endothermic reaction is favoured by
increase of temperature
A. Both assertion and reason are true but reason is the correct explanation for assertion
B. Both assertion and reason are true but reason is not the correct explanation for assertion
c. Assertion is true but reason is false
D. Assertion is false but the reason is true
Subject: Chemistry
The modulus of charge of electron is :
A \( .1 .6 \times 10^{-19} \mathrm{c} \)
B. 3.2 \( \times 10^{-19} \mathrm{C} \)
c. \( 1.8 \times 10^{-19} \mathrm{c} \)
D. \( 1.6 \times 10^{-21} \mathrm{c} \)
Subject: Physics
A man walks \( 30 m \) towards north, then
\( 20 m, \) towards east and in the last
\( 30 \sqrt{2} m, \) towards south-west. The
displacement from origin is:
A. \( 10 m \) towards west
B. \( 10 m \) towards east
c. \( 60 \sqrt{2} \mathrm{m} \) towards northwest
D. \( 60 \sqrt{2} m \) towards east north
Subject: Physics
2000 cal of heat is supplied to 200 g of water. Find the rise in temperature. (Specific heat of water \( =1 \) cal \( g^{-1^{\circ}} \boldsymbol{C}^{-1} \) )
\( \mathbf{A} \cdot 10^{\circ} \mathrm{C} \)
B . \( 20^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 30^{\circ} C \)
D. \( 40^{\circ} \mathrm{C} \)
Subject: Physics
An electric lamp of resistance \( 20 \Omega \) and
a conductor of resistance \( 4 \Omega \) re
connected to a \( 6 \mathrm{V} \) battery as shown in
the circuit Calculate:
(a) The total resistance of the circuit
(b) The current through the circuit
(c)The potential difference across the
(i) Electric lamp and
(ii) Conductor, and
(d) Power of the lamp.
Subject: Chemistry
Two moles of \( N H_{3} \) gas are introduced
into a previously evacuated one litre vessel in which it partially dissociates
at high temperature as \( 2 N H_{3}(g) \leftrightharpoons \) \( N_{2}(g)+3 H_{2}(g) . \) At equilibrium, one
mole of \( \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g}) \) remain. The value of
\( \boldsymbol{K}_{\boldsymbol{C}} \) is:
A . 3
B. \( 27 / 16 \)
c. \( 3 / 2 \)
D. \( 27 / 64 \)
Subject: Physics
A straight rod of length L has one of its
ends at the origin and the other at \( x= \)
L. If the mass per unit length of the rod
is given by Ax where \( A \) is constant, where is its mass centre?
A. \( L / 3 \)
B. \( L / 2 \)
c. \( 2 L / 3 \)
D. \( 3 L / 4 \)
Subject: Maths
Using ruler and compasses only, construct an isosceles \( \Delta A B C \)
in which \( B C=5 \mathrm{cm}, A B=A C \) and
\( \angle B A C=90^{0} \) Locate the point \( P \) such
that:
(i) \( P \) is equidistant from \( B C \) and \( A C \)
(ii) \( P \) is equidistant from \( B \) and \( C \)
Subject: Maths
In adjoining fig two semicircles are
drawn on sides \( A D \) and \( B C \) of a square
\( A B C D . \) If \( A B=10 \mathrm{cm},(\pi=3.14) \)
then the total area of semicircles is :
A \( .78 .50 \mathrm{cm}^{2} \)
B. \( 68.50 \mathrm{cm}^{2} \)
\( c \cdot 70 \mathrm{cm}^{2} \)
D. \( 70.48 \mathrm{cm}^{2} \)
Subject: Maths
The velocity \( n m / s \) of a particle is
proportional to the cube of the time. If the velocity after \( 2 s \) is \( 4 m / s, \) then \( n \) is
equal to.
A \( \cdot t^{3} \)
в. \( \frac{t^{3}}{2} \)
c. \( \frac{t^{3}}{3} \)
D. \( \frac{t^{3}}{4} \)
Subject: Physics
The binding energies energy per
nucleon for \( C^{12} \) is \( 7.68 M e V \) and that
for \( C^{13} \) is 7.5 MeV.The energy required
to remove a neutron from \( C^{13} \) is
A. \( 5.34 \mathrm{MeV} \)
B. 5.5 MeV
c. \( 9.5 \mathrm{MeV} \)
D. \( 9.34 \mathrm{MeV} \)
Subject: Physics
For a body moving with an initial
velocity \( u \) and uniform acceleration \( a \)
Find the displacement of the body in time t.
A \( \cdot s=u t+\frac{1}{2} a t^{2} \)
B. \( s=u+a t \)
c. \( s=u t-\frac{1}{2} a t^{2} \)
D. \( s=u t+a t^{2} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\boldsymbol{a}_{\boldsymbol{i j}}\right] \) is a square matrix of even
order such that \( \left[a_{i j}\right]=i^{2}-j^{2}, \) then
A \( \cdot A \) is a skew-symmetric matrix and \( |A|=0 \)
B. \( A \) is symmetric matrix and |A| is a square
C. \( A \) is symmetric matrix and \( |A|=0 \)
D. none of these
Subject: Physics
A series R-C circuit is connected to an
alternating voltage source. Consider two situation:
(a) When capacitor is filled
(b) When capacitor is mica filled Current through resister is i and voltage across capacitor is \( V \) then :
A \( . V_{a}=V_{b} \)
в. \( V_{a}<V_{b} \)
c. \( V_{a}>V_{b} \)
\( \mathbf{D} \cdot i_{a}=i_{b} \)
Subject: Maths
A line making angles \( 45^{\circ} \) and \( 60^{\circ} \) with the positive direction of \( x- \) axis and
\( y- \) axis respectively. Then the angle made by the line with positive direction
of \( z- \) axis is
A \( .60^{\circ} \)
B. \( 120^{\circ} \)
\( \mathbf{c} \cdot 60^{\circ} \) or \( 120^{\circ} \)
D. None of these
Subject: Chemistry
Statement I: Cl and Na form an ionic
bond.

Statement II: Cl donates an electron to
Na.
A. Statement I is True, Statement II is True and statement II is correct explanation of statements
B. Statement I is True, Statement II is True and statement II is NOT correct explanation of statements
C. Statement I is True, Statement II is False
D. Statement I is False, Statement II is True
E. Statement I is False, Statement II is False
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be defined by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{4} \)
then
A. \( f \) may be one-one and onto
B. \( f \) is one-one and onto
c. fis one-one but not onto
D. fis neither one-one nor onto
Subject: Physics
A body starts from rest and acquires a
velocity \( 10 m s^{-1} \) in 2 s. Find the
acceleration.
A \( \cdot 10 m s^{-2} \)
B. \( 20 m s^{-2} \)
\( \mathrm{c} \cdot 5 \mathrm{ms}^{-2} \)
D. \( 40 \mathrm{ms}^{-2} \)
Subject: Maths
Evaluate the following determinant : \( = \) \( \begin{array}{|lll|}\mathbf{6 7} & \mathbf{1 9} & \mathbf{2 1} \\ \mathbf{3 9} & \mathbf{1 3} & \mathbf{1 4} \\ \mathbf{8 1} & \mathbf{2 4} & \mathbf{2 6}\end{array} \)