AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A long solenoid has 200 turns per \( \mathrm{cm} \)
and carries a current \( i . \) The magnetic field at its centre is \( 6.28 \times \) \( 10^{-2} W b / m^{2} \) Another long solenoid has
100 turns per cm and it carries a
current \( i / 3 . \) The value of the magnetic field at its centre
is :
A \( \cdot 1.05 \times 10^{-4} W b / m^{2} \)
B . \( 1.05 \times 10^{-2} \mathrm{Wb} / \mathrm{m}^{2} \)
c. \( 1.05 \times 10^{-5} \mathrm{Wb} / \mathrm{m}^{2} \)
D. \( 1.05 \times 10^{-3} \mathrm{Wb} / \mathrm{m}^{2} \)
Subject: Maths
If \( f(y)=e^{y} \) and \( g(y)=y, y>0 \) and
\( \boldsymbol{F}(\boldsymbol{t})=\int_{0}^{t} \boldsymbol{f}(\boldsymbol{t}-\boldsymbol{y}) \boldsymbol{g}(\boldsymbol{y}) d \boldsymbol{y} \) then
A \( \cdot F(t)=e^{t}-(1+t) \)
B \( \cdot F(t)=t e^{t} \)
\( \mathbf{c} \cdot F(t)=t e^{-t} \)
\( \mathbf{D} \cdot F(t)=1-e^{t}(1+t) \)
Subject: Physics
A massless rigid rod of length \( 50 \mathrm{cm} \)
whose one end is attached to the edge
of the table at point \( O \) and at the other
end of the rod is a ball of clay of mass
\( \boldsymbol{m}=\mathbf{0 . 2 k g} . \) The rod extends horizontally
from the end of the table. Find out the
torque of the gravitational force on the
clay ball about point \( O ? \)
A \( .0 .01 N-m \)
B. \( 0.1 N-m \)
c. \( 1 N-m \)
D. \( 10 N-m \)
E \( .100 N-m \)
Subject: Maths
A quadratic equation in \( x \) is \( a x^{2}+ \)
\( \boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}=\mathbf{0}, \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \) are real
numbers and the other condition is
\( \mathbf{A} \cdot a \neq 0 \)
в. \( b \neq 0 \)
c. \( c \neq 0 \)
\( \mathbf{D} \cdot b=0 \)
Subject: Biology
Assertion
The regulation of RBC production is accomplished by FSH
Reason Erythropoietin, hormone circulates to red bone marrow where it increases
stem cell mitosis and speed up
development of RBCs
A. If both the assertion and the reason are true and the reason is correct explanation of the assertion
B. If both the assertion and the reason are true but the reason is not correct explanation of the assertion
c. If the assertion is false but the reason is true
D. If both the assertion and reason are false
Subject: Physics
Where would an object be placed in a
medium of refractive index \( \mu_{1}, \) so that
its real image is formed at equidistant from sphere (of radius \( \mathrm{R} \) and refractive
index \( \mu_{2} \) ) which is also placed in the
medium of refractive index \( \mu_{1} \) as shown
in figure?
A \( \cdot\left(\frac{\mu_{2}-\mu_{1}}{\mu_{2}+\mu_{1}}\right) R \)
B \( \cdot\left(\frac{\mu_{2}}{\mu_{2}-\mu_{1}}\right) R \)
c. \( \left(\frac{\mu_{1}}{\mu_{2}-\mu_{1}}\right) R \)
D. \( \left(\frac{\mu_{2}+\mu_{1}}{\mu_{2}-\mu_{1}}\right) R \)
Subject: Physics
2 grams of monoatomic gas occupies a volume of 2 litres at a pressure of \( 8.3 \times \) \( 10^{5} P a \) and \( 127^{0} \mathrm{C} \). Find the molecular
weight of the gas. (R=8.3 joule/mole/K)
A. 2 gram/mole
B. 16 gram/mole
c. 4 gram/mole
D. 32 gram/mole
Subject: Maths
If a line has direction ratios 2,-1,-2 determine its direction cosines.
A \( \cdot \frac{1}{3},-\frac{1}{3},-\frac{1}{3} \)
B \( \cdot_{3,-\frac{1}{3},-2} \)
c. \( \frac{2}{3},-\frac{1}{3},-\frac{2}{3} \)
D. \( 2,-\frac{1}{3},-\frac{2}{3} \)
Subject: Chemistry
The solubility product of \( \boldsymbol{A l}_{2}\left(\boldsymbol{S O}_{4}\right)_{3} \) is
given by the expression:
A \( \cdot\left[A l^{+3}\right] \cdot\left[S O_{4}^{-2}\right] \)
B \( \cdot\left[A l^{+3}\right]^{2} \cdot\left[S O_{4}^{-2}\right] \)
\( ^{\mathbf{C}} \cdot\left[A l^{+3}\right]^{3} \cdot\left[S O_{4}^{-2}\right]^{2} \)
D \( \left[A l^{+3}\right]^{2} \cdot\left[S O_{4}^{-2}\right]^{3} \)
Subject: Maths
What is the \( 1025^{t h} \) term of the
sequence
\( \mathbf{1}, \mathbf{2}, \mathbf{2}, \mathbf{4}, \mathbf{4}, \mathbf{4}, \mathbf{4}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{8}, \mathbf{?} \)
Subject: Physics
An infinite cylinder of radius \( r_{0} \) carrying
linear charge density \( \lambda \). The equation of the equipotential surface for this
cylinder is
\( \mathbf{A} \cdot r=r_{0} e^{\pi \varepsilon_{0}\left[V(r)+V\left(r_{0}\right)\right] \lambda} \)
B . \( r=r_{0} e^{2 \pi \varepsilon_{0}}\left[V(r)-V\left(r_{0}\right)\right] \lambda^{2} \)
C . \( r=r_{0} e^{-2 \pi \varepsilon_{0}}\left[V(r)-V\left(r_{0}\right)\right] / \lambda \)
D. \( r=r_{0} e^{-2 \pi \varepsilon_{0}\left\lfloor V(r)-V\left(r_{0}\right) \backslash \lambda\right.} \)
Subject: Chemistry
The landthanide contraction is
responsible for the fact that:
A. \( Z r \) and \( Y \) have almost the same radius.
B. \( Z r \) and \( N b \) have similar oxidation state
c. \( Z r \) and \( H f \) have almost the same radius
D. \( Z r \) and \( Z n \) have the same oxidation state.
Subject: Maths
If in \( Q .104, \) we are told that a white ball
has been drawn, find the probability
that it was drawn from the first urn.
\( ^{A} \cdot \frac{5}{9} \)
в. \( \frac{2}{3} \)
c. \( \frac{2}{9} \)
D. \( \frac{7}{9} \)
Subject: Maths
A farmer wishes to start a 100 sq.m
rectangular vegetable garden. since he has only \( 30 \mathrm{m} \) barbed wire, he fences the sides of the rectangular garden letting his house compound wall act as the fourth side fence. Find the
dimension of the garden.
A. \( 20 m, 5 m \) or \( 10 m, 10 m \)
В. \( 2 m, 5 m \) or \( 10 m, 10 m \)
\( \mathrm{c} .20 \mathrm{m}, 5 \mathrm{m} \) or \( 1 \mathrm{m}, 10 \mathrm{m} \)
D. None of these
Subject: Chemistry
Peroxide ion
(i) has five completely filled antibonding molecular orbitals
(ii) is diamagnetic
(iii) has bond order one
(iv) is isoelectronic with neon
Which one of these is correct?
A. (ii) and (iii)
B. (i), (ii) and (iv)
c. (i), (ii) and (iii)
D. (ii) and (iv)
Subject: Physics
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k} \& \vec{b}=\hat{j}-\hat{k}, \) then the
vector \( \vec{c} \) such that \( \vec{a} . \vec{c}=3 \& \vec{a} \times \vec{c}=\vec{b} \)
is
A \( \cdot \frac{1}{3}(3 \hat{i}-2 \hat{j}+5 \hat{k}) \)
B・\( _{\frac{1}{3}}(5 \hat{i}+2 \hat{j}+2 \hat{k}) \)
c \( \cdot \frac{1}{3}(\hat{i}+2 \hat{j}-5 \hat{k}) \)
D \( \cdot \frac{1}{3}(3 \hat{i}+2 \hat{j}+\hat{k}) \)
Subject: Chemistry
Which of the following pairs is correctly
matched ?
(a) X-ray spectra
A. Experimental observation -
Phenomenon - Charge on the nucleus
B. Experimental observation -
(b) a- particle scattering
Phenomenon - Quantized electron orbit
C. Experimental observation -
(c) Emission spectra
Phenomenon - Quantization of energy
D. Experimental observation -
(d) The photoelectric effect
Phenomenon - The nuclear atom
Subject: Maths
Which of the following is/are not false?
This question has multiple correct options
A. The mid point of the line segment joining the foci is called the centre of the ellipse.
B. The line segment through the foci of the ellipse is called the major axis.
C. The end points of the major axis are called the vertices of the ellipse.
D. Ellipse is symmetric with respect to Y-axis only.
Subject: Chemistry
Resonance energy per benzene ring
decreases in the order
A. Naphthalene \( > \) benzene \( > \) Anthracene \( > \) Phenanthrene
B. Benzene \( > \) Nephthalene \( > \) Anthracene \( > \) Phenanthrene
C. Benzene \( > \) Naphthalene \( > \) Phenanthrene \( > \) Anthracene
D. All have equal resonance energy
Subject: Physics
In rising from the bottom of a lake to the top, the temperature of air bubble remains unchanged, but the diameter gets doubled. If \( h \) is the barometric
height (expressed in metres of mercury
of relative density \( \rho \) ) at surface of the lake, the depth of the lake (in metres) is
\( \mathbf{A} \cdot 8 \rho h \)
B. \( 4 \rho h \)
\( c \cdot 7 \rho h \)
D. \( 2 \rho h \)
Subject: Chemistry
Calculate number of electrons present
\( \operatorname{in} 9.5 g \) of \( P O_{4}^{3-} \)
\( A \cdot 6 N_{A} \)
в. \( 4.7 \mathrm{N}_{\mathrm{A}} \)
\( c \cdot 5 N_{A} \)
D. \( 0.1 \mathrm{N}_{A} \)
Subject: Maths
If \( \boldsymbol{x}-\boldsymbol{i} \boldsymbol{y}=\sqrt{\frac{\boldsymbol{a}-\boldsymbol{i} \boldsymbol{b}}{\boldsymbol{c}-\boldsymbol{i} \boldsymbol{d}}} \) prove that \( \left(\boldsymbol{x}^{2}+\right. \)
\( \left.\boldsymbol{y}^{2}\right)^{2}=\frac{a^{2}+b^{2}}{c^{2}+d^{2}} \)
Subject: Physics
A body is projected up along a rough
inclined plane of inclination \( 45^{\circ} . \) The
coefficient of friction is \( 0.5 . \) Then the
retardation of the block is:
A \( \cdot \frac{g}{2 \sqrt{2}} \)
в. \( \frac{g}{2} \)
c. \( \frac{3 g}{2 \sqrt{2}} \)
D. \( \frac{g}{\sqrt{2}} \)
Subject: Chemistry
\( \boldsymbol{C a O C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{C O}_{2} \longrightarrow \boldsymbol{C a} \boldsymbol{C O}_{3}+ \)
\( \boldsymbol{C a C l}_{2}+\boldsymbol{H O C l} \)
This reaction is simply:
A. oxidation
B. reduction
c. redox
D. hydrolysis in presence of \( C O_{2} \)
Subject: Physics
Two particles move on a circular path (one just inside and the other just
outside) with the angular velocity \( \boldsymbol{w} \)
and \( 5 w \) starting from the same point.
Then
This question has multiple correct options
A. They cross each other at regular intervals of time \( 2 \pi / 4 w \) when their angular velocity are oppositely directed
B. They cross each other at point on the path subtending an angle of \( 60^{\circ} \) at the center if their angular velocity are oppositely directed
C. They cross at intervals of time \( \pi / 3 w \) if their angular velocities are oppositely directed
D. They cross each other at point on the path subtending \( 90^{\circ} \) at the centre if their angular velocity are in the
same sense
Subject: Maths
In triangle \( A B C ; M \) is mid-point of \( A B, N \) mid-point of \( A C \) and \( D \) is any point in base BC. Then:
\( A . \) MN bisects AD
B. MN divides AD in the ratio 1: 3
c. MN divides AD in the ratio 1: 2
D. MN divides AD in the ratio 1: 4
Subject: Chemistry
A non ideal solution was prepared by
mixing \( 30 \mathrm{ml} \) chloroform and \( 50 \mathrm{ml} \) acetone. The volume of mixture will be :
\( A \cdot>80 m l \)
в. \( <80 m l \)
\( \mathrm{c} .=80 \mathrm{ml} \)
\( D>80 m l \)
Subject: Chemistry
List I
¡. Cyanide process
A. Ultrapure Ge
ii. Floating process
B. Pine oil
creduction
C. Extraction of \( A l \)
iii. Electrolytic
iv. Zone refining
D. Extraction of \( A u \)
Match List-I with List-II and select the
correct answer using the codes given
below the lists:
\( \mathbf{A} \cdot \mid-\mathrm{C},\|-\mathrm{A},\| \mathrm{I}-\mathrm{D}, \mathrm{IV}-\mathrm{B} \)
B. \( \mid-D,\|-B,\| I-C, I V-A \)
C \( . \mid-C,\|-B,\| I-D, I V-A \)
D. \( \mid-D,\|-A,\| I-C, I V-B \)
Subject: Chemistry
Which of the following is not a disproportionation reaction?
\( \mathbf{A} \cdot \stackrel{\ominus}{O} H+B r_{2} \longrightarrow B r^{\ominus}+B r O_{3}^{\mathbf{j}} \)
в. \( C u_{2} O+2 H^{\oplus} \rightarrow C u+C u^{2+}+H_{2} O \)
\( \mathrm{c} \cdot(C N)^{\ominus} \rightarrow C O_{3}^{2-}+N O_{3}^{\circ} \)
D \( \cdot(C N)_{2}+2 \hat{O} H \rightarrow C N^{\ominus}+C N O^{\ominus}+H_{2} O \)
Subject: Chemistry
The vapour pressure of a saturated solution of sparingly soluble salt
\( \left(X C l_{3}\right) \) was \( 17.20 \mathrm{mm} \) Hg at \( 27^{\circ} \mathrm{C} . \) If the
vapour pressure of pure \( \boldsymbol{H}_{2} \boldsymbol{O} \) is 17.25 \( \mathrm{mm} \mathrm{Hg} \) at \( 300 \mathrm{K}, \) what is the solubility of sparingly soluble salt \( X C l_{3} \) in
mole/L?
A . \( 4.02 \times 10^{-2} \)
в. \( 8.08 \times 10^{-2} \)
c. \( 2.02 \times 10^{-2} \)
D. \( 4.04 \times 10^{-3} \)
Subject: Physics
Assertion
STATEMENT-1: In a region where uniform electric field exists, the net
charge within volume of any size is zero.
Reason

STATEMENT-2: The electric flux within
any closed surface in a region of uniform electric field is zero.
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-
c. statement- - is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True
Subject: Maths
If the line, \( \frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4} \) and
\( \frac{\boldsymbol{x}-\mathbf{3}}{\mathbf{1}}=\frac{\boldsymbol{y}-\boldsymbol{k}}{\mathbf{2}}=\frac{\boldsymbol{z}}{\mathbf{1}} \) intersect, then find
the value of \( k \)
Subject: Maths
\( A \) and \( B \) are symmetric matrices of the same order. \( \boldsymbol{X}=\boldsymbol{A B}+\boldsymbol{B A} \) and \( \boldsymbol{Y}= \)
\( \boldsymbol{A B}-\boldsymbol{B A} \)
\( (\boldsymbol{X} \boldsymbol{Y})^{\boldsymbol{T}}= \)
A . \( X Y \)
в. \( Y X \)
\( c \cdot-Y X \)
D. \( X+Y \)
Subject: Chemistry
Which of the following statements are
correct?
This question has multiple correct options
A. Electron density in \( X Y \) plane of \( 3 d_{x^{2}-y^{2}} \) orbital is zero.
B. Electron density in \( X Y \) plane of \( 3 d_{z^{2}} \) orbital is zero.
C. \( 2 s \) orbital has only one spherical node.
D. For \( 2 p_{z} \) orbital \( Y Z \) is the nodal plane.
Subject: Physics
The electric field at a point \( 2 \mathrm{cm} \) from an infinite line charge of linear charge density \( 10^{-7} \mathrm{cm}^{-1} \) is?
A \( \cdot 4.5 \times 10^{4} N C^{-1} \)
B. \( 9 \times 10^{4} N C^{-1} \)
c. \( 9 \times 10^{2} N C^{-1} \)
D. \( 18 \times 10^{4} N C^{-1} \)
Subject: Maths
Which of the following are not
equivalence relations on \( I ? \)
A. \( a R b \) if \( a+b \) is an even integer
B. \( a R b \) if \( a-b \) is an even integer
c. \( a R b \) if \( a<b \)
D. \( a R b \) if \( a=b \)
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{B})=\frac{\boldsymbol{3}}{\boldsymbol{4}}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B} \cap \overline{\boldsymbol{C}})=\frac{1}{3} \) and
\( P(\bar{A} \cap B \cap \bar{C})=\frac{1}{3}, \) then what is
\( \boldsymbol{P}(\boldsymbol{B} \cap \boldsymbol{C}) \) equal to?
A \( \cdot \frac{1}{12} \)
B. \( \frac{3}{4} \)
c. \( \frac{1}{15} \)
D.
Subject: Chemistry
Energy required for the ionisation reactions are shown:
\( \boldsymbol{N a}(\boldsymbol{g}) \stackrel{+E_{1}}{\rightarrow} \boldsymbol{N} \boldsymbol{a}^{+}(\boldsymbol{g}) \)
\( M g(g) \stackrel{+E_{2}}{\rightarrow} M g^{+}(g) \) and
\( \boldsymbol{N} \boldsymbol{a}^{+}(\boldsymbol{g}) \stackrel{+\boldsymbol{E}_{3}}{\rightarrow} \boldsymbol{N} \boldsymbol{a}^{2+}(\boldsymbol{g}) \)
Then the correct order of absorbed
energy is :
A. \( E_{1}>E_{2}>E_{3} \)
в. \( E_{3}>E_{1}>E_{2} \)
c. \( E_{2}>E_{3}>E_{1} \)
D. \( E_{3}>E_{2}>E_{1} \)
Subject: Chemistry
A mixture of three gases \( A, B \) and \( C \) is
passed first into acidified \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \)
solution when \( A \) is absorbed turning
the solution green. The remainder of the gas is passed through excess of lime water which turns milky resulting in the absorption of \( B \). The residual gas \( C \) is absorbed by alkaline pyrogallol solution. However the original mixture does not turn lead acetate paper black. Identify \( \boldsymbol{A}, \boldsymbol{B} \& \boldsymbol{C} \)
A \( \cdot(A)-S O_{2} \)
\( (B)-C O \)
\( (C)-O_{2} \)
в. \( (A)-S O_{3} \)
\( (B)-C O \)
\( (C)-C O_{2} \)
c. \( (A)-S O_{2} \)
\( (B)-C O_{2} \)
\( (C)-O_{2} \)
D. \( (A)-S O_{2} \)
\( (B)-C O \)
\( (C)-C O_{2} \)
Subject: Physics
Three resistors are connected in series
\( \operatorname{across} \) a 12 V battery. the first resistor has value of \( 1 \Omega, \) second has a voltage
drop of \( 4 \mathrm{V} \) and third has a power dissipation of 12 W. Then, the value of
the circuit current is
A \( \cdot 2 \) A
B. 6 A
c. either 2 A or 6 A
D. none of the above
Subject: Maths
f \( x, y, z \) are all different and if \( \left|\begin{array}{lll}\boldsymbol{x} & \boldsymbol{x}^{2} & \boldsymbol{1}+\boldsymbol{x}^{3} \\ \boldsymbol{y} & \boldsymbol{y}^{2} & \boldsymbol{1}+\boldsymbol{y}^{3} \\ \boldsymbol{z} & \boldsymbol{z}^{2} & \boldsymbol{1}+\boldsymbol{z}^{3}\end{array}\right|=\boldsymbol{0} \operatorname{then} 1+\boldsymbol{x} \boldsymbol{y} \boldsymbol{z}= \)
A . -1
B.
\( c \cdot 1 \)
D. 2
Subject: Chemistry
In the Merck's process, the reagents involved in the preparation of hydrogen peroxide are:
A. \( B a O_{2}, H C l \)
в. \( N a_{2} O_{2}, H_{2} S O_{4} \)
с. Ва Од\( _{2}, \)На\( _{2} \)СО\( _{3} \)
D. \( P b O_{2}, H_{2} O \)
Subject: Chemistry
Unlike phenol, 2,4-dinitrophenol is
soluble in sodium carbonate solution in
water because?
A. presence of two - \( N O_{2} \) groups in the ring makes 2,4 dinitrophenol a stronger acid than phenol.
B. presence of two - \( N O_{2} \) groups in the ring makes 2,4 dinitrophenol a weaker acid than phenol.
C. presence of two \( -N O_{2} \) groups make the hydrogen bonding easier, making 2, 4-dinitrophenol soluble
D. nitro group reacts with \( N a_{2} C O_{3} \) while \( -O H \) group does not
Subject: Maths
Solve:
\( \mathbf{3}(\mathbf{2 u}+\boldsymbol{v})=\mathbf{7} \boldsymbol{u} \boldsymbol{v} \) and
\( \mathbf{3}(\boldsymbol{u}+\mathbf{3} \boldsymbol{v})=\mathbf{1 1} \boldsymbol{u} \boldsymbol{v} \)
Subject: Chemistry
Which of the following is not effected by change in pressure?
A \( \cdot N_{2}+O_{2} \rightleftharpoons 2 N O \)
B. \( N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3} \)
c. \( P C l_{5} \rightleftharpoons P C l_{3}+C l_{2} \)
D. \( 2 S O_{2}+O_{2} \rightleftharpoons 2 S O_{3} \)
Subject: Chemistry
The concentration of the \( A g^{+} \) ion in a
saturated solution of \( A g_{2} C r O_{4} \) at \( 20^{\circ} C \)
is \( 1.5 \times 10^{-4} \) mol \( \quad L^{-1} . \) The solubility
product constant of \( A g_{2} C r O_{4} \) at \( \$ \$\{20 \) \( 3 \wedge\{0\} C \$ \) is:
A. \( 3.4 \times 10^{-12} \)
В. \( 1.7 \times 10^{-10} \)
c. \( 1.7 \times 10^{-8} \)
D. \( 1.7 \times 10^{-12} \)
Subject: Physics
A solid cube has volume \( (1000 \pm 0.3) \)
\( c m^{3} . \) The side of the cube is
A \( \cdot(10 \pm 0.1) \) ст
в. \( (10 \pm 0.01) \) ст
c. \( (10 \pm 0.001) \mathrm{cm} \)
D. \( (10 \pm 0.003) \) с \( m \)
Subject: Physics
On a two lane road a car A is travelling
with a speed of \( v=10 m s^{-1} . \) Two cars \( B \)
and \( C \) approach car \( A \) in opposite
directions with a speed \( u=15 m s^{-1} . \) At a certain instant when the \( \mathrm{B} \) and \( \mathrm{C} \) are
equidistant from A each being I =1000
\( \mathrm{m}, \mathrm{B} \) decides to overtake \( \mathrm{A} \) before \( \mathrm{C} \)
does. What minimum acceleration of
car \( \mathrm{B} \) is required to avoid an accident
with c:
Subject: Physics
A beam of light consisting of red, green
and blue colours is incident on a rightangled prism as shown. The refractive index of the material of the prism for
the above red, green and blue wavelengths are 1.39,1.44 and 1.47
respectively. The prism will
A. seperate part of the red colour from the green and blue colours
B. seperate part of the blue colour from the red and green colours
C. seperate all the three colours from one another.
D. not seperate even partially any colour from the other two colours
Subject: Physics
In the density measurement of a cube, the mass an edge length are measured
as \( (\mathbf{1 0 . 0 0} \pm \mathbf{0 . 1 0}) k g \) and
\( (0.10 \pm 0.01) m, \) respectively. The error
in the measurement of density:
\( \mathbf{A} \cdot 0.10 k g / m^{3} \)
в. \( 0.31 k g / m^{3} \)
\( \mathbf{c} \cdot 0.07 k g / m^{3} \)
D. \( 0.01 k g / m^{3} \)
E. No answer
Subject: Maths
Check whether the probabilities \( \boldsymbol{P}(\boldsymbol{A}) \)
and \( P(B) \) are consistently defined \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 5}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 7}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})= \)
\( \mathbf{0 . 6} \)
Subject: Physics
A right isosceles triangle of side \( a \) has
charges \( \boldsymbol{q},+\boldsymbol{3} \boldsymbol{q} \) and \( -\boldsymbol{q} \) arranged on its
vertices as shown in the figure. What is
the electric potential at point \( \boldsymbol{P} \) midway
between the line connecting the \( +q \) and
\( -q \) charges?
A \( \cdot \frac{3 q}{r \epsilon_{6} a} \)
В. \( \frac{3 q}{\sqrt{2} \pi \epsilon a a} \)
c. \( \frac{q}{\pi \epsilon_{a} a} \)
D. \( \frac{3 q}{2 \sqrt{2} \pi \epsilon_{0} a} \)
Subject: Maths
The equation \( a x^{2}+b y^{2}+c x+c y=0 \)
represents a pair of straight lines, when This question has multiple correct options
\( \mathbf{A} \cdot a+b=0 \)
B . \( c=0 \)
c. \( a+c=0 \)
D. \( c(a+b)=0 \)
Subject: Physics
A flux of \( 1 m W b \) passes through a strip
having an area \( A=0.02 m^{2} . \) The plane
of the strip is at an angle of \( 60^{\circ} \) to the
direction of a uniform field B. The value
of B is:
A . \( 0.1 T \)
B. \( 0.058 T \)
c. \( 4.0 m T \)
D. None of the above
Subject: Maths
Let \( a, b, c \) are non zero constant number
then the value of
\( \lim _{r \rightarrow \infty} \frac{\cos \frac{a}{r}-\cos \frac{b}{r} \cos \frac{c}{r}}{\sin \frac{b}{r} \sin \frac{c}{r}} \) is?
\( ^{\mathbf{A}} \cdot \frac{a^{2}+b^{2}-c^{2}}{2 b c} \)
B. \( \frac{c^{2}+a^{2}-b^{2}}{2 b c} \)
c. \( \frac{b^{2}+c^{2}-a^{2}}{2 b c} \)
D. Independent of \( a, b \) and \( c \)
Subject: Chemistry
When metal atoms are deposited on
the cathode:
A. the mass of the cathode and anode increases by an equal amount
B. the mass of the cathode decreases and the mass of
the anode increases by an equal amount
c. the mass of the cathode increases and the mass of the
anode decreases by an equal amount
D. the mass of the cathode increases more than the
mass of the anode that decreases
Subject: Maths
Consider the set of eight vectors \( V= \) \( \{a \hat{i}+b \hat{j}+c \hat{k} ; a, b, c \in\{-1,1\}\} . \) Three
non-coplanar vectors can be chosen
from \( V \) in \( 2^{p} \) ways. Then \( p \) is
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
Subject: Chemistry
Give the balance equation for the following laboratory preparation:
Ethane from sodium propionate
A \( \cdot C H_{3} C H_{2} C O O N a+N a O H \rightarrow C_{2} H_{6}+N a_{2} C O_{3} \)
в. \( C H_{3} C H_{2} C O O N a+2 N a O H \rightarrow C_{2} H_{4}+N a_{2} C O_{3} \)
c. \( C H_{3} C H_{2} \) COONa \( + \) NaOH \( \rightarrow C_{2} H_{4}+N a_{2} C O_{3} \)
D. \( C H_{3} C H_{2} C O O N a+2 N a O H \rightarrow 2 C H_{4}+N a_{2} C O_{3} \)
Subject: Physics
Statement 1: In both cases shown in
figures tension in the string will be
same

Statement 2: Tension in the light strings shown is the force with which
its ends are pulled
A. Statement 1 - is true, statement- 2 is true and statement-2 is correct explanation of statement-
B. Statement1- is true, statement- 2 is true and statement-2 is NOT the correct explanation of statement-1
c. Statement 1 - is false, statement- 2 is true
D. Statement 1 - is true, statement- 2 is false
Subject: Chemistry
Assertion:
Chemical messenger gives a message to the cell without entering the cell
Reason:
Chemical messenger is received at the binding site of receptor proteins
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. Both Assertion and Reason are incorrect
D. Assertion is correct but Reason is incorrect
E. Assertion is incorrect but Reason is correct
F. Answer required
Subject: Biology
Assertion
Use of chitinase enzyme, is necessary for isolation of DNA from yeast cells but
not in case of Spirogyra.
Reason
Fungal cell wall is made up of fungal cellulose or chitin.
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
Two particles are shown in the figure. at \( \boldsymbol{t}=\mathbf{0} \) a constant force \( \boldsymbol{F}=\mathbf{6} \boldsymbol{N} \) starts
acting on the \( 3 k g \) man. Find the velocity of the center of mass of these particles
at \( t=5 s \)
\( A \cdot 5 m / s \)
B. \( 4 m / s \)
\( c \cdot 6 m / s \)
D. \( 3 m / s \)