AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Power emitted by a black body at
temperature \( 50^{\circ} C \) is \( P . \) Now,
temperature is doubled i.e. temperature
of black body becomes \( 100^{\circ} \mathrm{C} \). Now,
power emitted is:
A. greater than \( P \) but less than \( 16 P \)
B. greater than \( 16 P \)
\( c . P \)
D. 16 \( P \)
Subject: Physics
The magnetic filed (dB) due to smaller element (dl) at a distance \( (\vec{r}) \) from element carrying current i, is
\( ^{\mathbf{A}} \cdot d B=\frac{\mu_{0} i}{4 \pi}\left(\frac{\vec{d} l \times \vec{r}}{r}\right) \)
B. \( d B=\frac{\mu_{0} i}{4 \pi} i^{2}\left(\frac{\vec{d} l \times \vec{r}}{r^{2}}\right) \)
\( ^{\mathbf{c}} d B=\frac{\mu_{0} i^{3}}{4 \pi} i\left(\frac{\vec{d} l \times \vec{r}}{2 r^{2}}\right) \)
\( ^{\mathrm{D}} d B=\frac{\mu_{0}}{4 \pi} i\left(\frac{\vec{d} l \times \vec{r}}{r^{3}}\right) \)
Subject: Maths
The foci of a hyperbola coincide with the foci of the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{9}=1 . \) Then
the equation hyperbola with eccentricity 2 is
A \( \frac{x^{2}}{12}-\frac{y^{2}}{4}=1 \)
B. \( \frac{x^{2}}{4}-\frac{y^{2}}{12}=1 \)
c. \( 3 x^{2}-y^{2}+12=0 \)
D. \( 9 x^{2}-25 y^{2}-225=0 \)
Subject: Biology
Assertion
The regulation of RBC production is
accompanied by the kidneys.
Reason
Erythropoietin hormone criculates to
the
red bone marrow., Where it increase
stem
cell mitosis and speeds up the
development
of RBCS.
A. If both the assertion and the reson are true and the
reason
is correct explanation of the assertion.
B. If both the assertion and the reson are true but the
reason
is not 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
Subject: Physics
A solid cone of height \( H \) and base
radius \( H / 2 \) floats in a liquid of density
\( \rho . \) It is hanging from the ceiling with the
help of string. The force by the fluid on
the curved surface of the cone is \( \left(P_{0}=\right. \)
atmospheric pressure)
A \( \cdot \pi H^{2}\left(\frac{p_{0}}{4}+\frac{\rho g H}{3}\right) \)
\( ^{\text {В }} \cdot \frac{\pi H^{4}}{2} \cdot \rho g \)
c. \( \frac{\pi H^{2}}{4}\left(\frac{p_{0}}{4}+\rho g H\right) \)
D. \( \frac{\pi H^{2}}{4}\left(p_{0}+\rho g H\right) \)
Subject: Biology
\( N a^{+}, K^{+} \) pump is found in membranes of many cells, like nerve cells. It work against electro chemical gradient and involve an integral protein ATP. For each molecule of ATP used
A. 3 ions of \( N a^{+} \) pumped out and \( 2 K^{+} \) are taken in
B. 3 ions of \( N a^{+} \) are taken in and 2 \( K^{+} \) are pumped out.
C. 2 ions of \( N a^{+} \) are thrown out and \( 3 K^{+} \) are absorbed.
D. 3 ions of \( K^{+} \) are absorbed and 3 \( N a^{+} \) are pumped out
Subject: Maths
Consider the statement, if \( n \) is divisible
by 30 then \( n \) is divisible by 2,3 and by 5 Which of the following statements is equivalent to this statement??
A. If \( n \) is not divisible by 30 then \( n \) is divisible by 2 or divisible by 3 or divisible by 5
B. If \( n \) is not divisible by 30 then \( n \) is not divisible by 2 or not divisible by 3 or not divisible by 5
c. If \( n \) is divisible by 2 and divisible by 3 and divisible by 5 then \( n \) is divisible by 30
D. If \( n \) is not divisible by 2 or not divisible by 3 or not divisible by 5 then \( n \) is not divisible by 30
Subject: Chemistry
For the reaction \( N_{2} O_{4} \rightleftharpoons 2 N O_{2} \)
equilibrium mixture contains \( N O_{2} \) at
\( \boldsymbol{P}=\mathbf{1 . 1} \boldsymbol{a} \boldsymbol{t m} \& \boldsymbol{N}_{2} \boldsymbol{O}_{4} \) at \( \boldsymbol{P}=\mathbf{0 . 2 8 a t m} \)
at \( 350 \mathrm{K} \). The volume of the container is
doubled. Calculate the equilibrium pressures of the two gases when the system reaches new equilibrium:
A \( \cdot P_{N O_{2}}=0.32 a t m, P_{N_{2}} o_{4}=0.095 a t m \)
B . \( P_{N O_{2}}=0.64 a t m, P_{N_{2}} o_{4}=0.049 a t m \)
C. \( P_{N O_{2}}=0.64 a t m, P_{N_{2}} o_{4}=0.05 a t m \)
D. \( P_{N O_{2}}=0.32 a t m, P_{N_{2}} o_{4}=0.049 a t m \)
Subject: Physics
A tall vertical cylinder filled with water is kept on a horizontal table top. Two small holes \( A \) and \( B \) are made on the
wall of the cylinder, A near the middle and B just below the free surface of
water
A. Water jet through A will have larger range
B. Water jet through B will have larger range
c. water jets through \( A \) and \( B \) will have equal range
D. There will be no water jet through B
Subject: Physics
\( \mathbf{A} \)
\( 13 \mathrm{N} \) weight and a \( 12 \mathrm{N} \) weight are connected by a mass less string over a mass less friction less pulley, The \( 13 \mathrm{N} \) weight has a downward acceleration with magnitude equal to that of a freely falling body time
\( A \)
B. 1 /12
\( c \cdot 1 / 13 \)
D. 1/25
Subject: Chemistry
Which of the following pairs of
compound are positional isomers?
\( \mathbf{A} \cdot C H_{3}-C H_{2}-C H_{2}-C-C H_{3} \) and \( C H_{3}-C H_{2}- \)
\( C H_{3}-C H_{2}-C H_{2}-\underset{O}{C}_{O}-C H_{3} \)
\( C-C H_{2}-C H_{3} \)
\( _{O} \)
\( \| \)
B. \( C H_{3}-C H_{2}-C H_{2}-C-C H_{3} \) and \( C H_{3}-C H- \)
\[
\begin{aligned}_{\|} &_{C H_{3}} \end{aligned}
\]
\( C H_{2}-C H O \)
\( \mathbf{c} \cdot C H_{3}-C H_{2}-C O-C H_{2}-C H_{3} \) and \( \left(C H_{3}\right)_{2}-C H \)
\( C H_{2}-C H O \)
D. \( C H_{3}-C H_{2}-C H_{2}-C H_{2}-C H O \) and \( C H_{3}- \)
\( C H_{2}-C H_{2}-\stackrel{\|}{C}-C H_{3} \)
Subject: Chemistry
Assertion
Anhydrous \( H_{2} S O_{4} \) undergoes
autoprotolysis \( \quad H_{2} S O_{4}+H_{2} S O_{4} \rightleftharpoons \)
\( \boldsymbol{H}_{3} \boldsymbol{S} \boldsymbol{O}_{4}^{+}+\boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}^{-} \)
Reason
Anhydrous \( H_{2} S O_{4} \) has very high electrical conductivity
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect.
Subject: Chemistry
Assertion: AgCl is less soluble in aqueous sodium chloride solution than
in pure water.
Reason: AgCl dissociates completely
and more rapidly than NaCl
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Maths
Fill the blank spaces: \( \frac{4}{-9} \times \ldots . .=\frac{7}{6} \times \)
A \( \cdot \frac{-4}{9}, \frac{7}{6} \)
в. \( \frac{4}{-9}, \frac{7}{6} \)
c. \( \frac{7}{6}, \frac{4}{-9} \)
D. \( \frac{7}{6}, \frac{7}{6} \)
Subject: Maths
Let \( \mathrm{ABC} \) be a triangle and let \( \mathrm{S} \) be its circumcentre and \( \mathrm{O} \) be its orthocentre.
The \( \overline{\mathbf{S A}}+\overline{\mathbf{S B}}+\overline{\mathbf{S C}}= \)
A. 450
в. 3ज्ठ
c. 2 So
D. So
Subject: Physics
A wire that obeys Hooke's law is
of length \( l_{1} \) when it is in equilibrium
under a tension \( F_{1} \). Its length becomes \( l_{2} \) when the tension is increased of \( F_{2} \)
The energy stored in the wire during this process is
B - \( \frac{1}{4}\left(F_{2}+F_{1}\right)\left(l_{2}-l_{1}\right) \)
c. \( \frac{1}{4}\left(F_{2}-F_{1}\right)\left(l_{2}-l_{1}\right) \)
D - \( \frac{1}{2}\left(F_{2}-F_{1}\right)\left(l_{2}-l_{1}\right) \)
Subject: Chemistry
The virial equation for 1 mole of a real gas is written as:
\( P V=R T \)
\( \left[1+\frac{A}{V}+\frac{B}{V^{2}}+\frac{C}{V^{3}}+\ldots . . . . . . . . . . \) to the higher \right.
power of \( n] \)
Where \( A, B \) and \( C \) are known as virial coefficients. If Vander Waal's equation is written in virial form, then what will
be the value of B?
A. \( _{a-\frac{b}{R T}} \)
B . \( b^{3} \)
c. \( _{b-\frac{a}{R T}} \)
D. \( b^{2} \)
Subject: Chemistry
In the equation,
\( 4 M+8 C N^{-}+2 H_{2} O+O_{2} \longrightarrow \)
\( \mathbf{4}\left[\boldsymbol{M}(\boldsymbol{C} \boldsymbol{N})_{2}\right]^{-}+\mathbf{4} \boldsymbol{O} \boldsymbol{H}^{-} \)
the metal M is:
This question has multiple correct options
A. copper
B. Silver
c. Gold
D. zinc
Subject: Chemistry
The initial concentration of \( N_{2} O_{5} \) in
the first order reaction \( N_{2} O_{5}(g) \longrightarrow \)
\( 2 N O_{2(g)}+\frac{1}{2} O_{2(g)} \) was \( 11.24 \times \)
\( \mathbf{1 0}^{-\mathbf{2}} \) mol \( \quad \boldsymbol{L}^{-1} \) at 318 K. The
concentration of \( N_{2} O_{5} \) after 60
minutes was \( 0.20 \times 10^{-2} \) mol \( L^{-1} \)
Calculate the rate constant of the
reaction at \( 318 \mathrm{K} \)
Subject: Physics
A wire in the form of a circular loop of one turn carrying a current produces a magnetic field \( B \) at the centre. If the
same wire is looped into a coil of two turns and carries the same current, the
new value of magnetic induction at the
centre is:
\( A .3 B \)
в. \( 5 B \)
\( c .4 B \)
D. 2 \( B \)
Subject: Maths
Which set of rational numbers is
arranged in ascending order?
A \( \cdot-\frac{5}{14},-\frac{25}{28},-\frac{3}{7},-\frac{1}{2} \)
B. \( -\frac{25}{28}, \frac{-5}{14}, \frac{-3}{7},-\frac{1}{2} \)
c. \( -\frac{25}{28},-\frac{1}{2},-\frac{3}{7},-\frac{5}{14} \)
D. \( -\frac{1}{2}, \frac{-3}{7}, \frac{-5}{14}, \frac{-25}{28} \)
Subject: Maths
If statement \( \boldsymbol{P}(\boldsymbol{n}) \) is \( " \boldsymbol{3} \boldsymbol{n}+1 \) is even"
Then verify that statement \( \boldsymbol{P}(\mathbf{1}) \) is true
but \( \boldsymbol{P}(2) \) is not true
Subject: Maths
Let \( z \) and \( \omega \) be the complex numbers.If
\( \boldsymbol{R} \boldsymbol{s}(\boldsymbol{z})=|\boldsymbol{z}-\boldsymbol{2}|, \boldsymbol{R} e(\boldsymbol{\omega})=|\boldsymbol{\omega}-\boldsymbol{2}| \) and
\( \arg (z-\omega)=\frac{\pi}{3}, \) find the value of
\( \operatorname{Im}(z+\omega) \)
Subject: Maths
ff \( g(x) \) is a polynomial satisfying \( \boldsymbol{g}(\boldsymbol{x}) \boldsymbol{g}(\boldsymbol{y})=\boldsymbol{g}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{y})+\boldsymbol{g}(\boldsymbol{x} \boldsymbol{y})-2 \) for
all real \( x \) and \( y \) and \( g(2)=5 \) then \( g(3) \) is equal to -
A . 10
B . 24
\( c \cdot 21 \)
D. none of these
Subject: Maths
The length \( x \) of a rectangle is decreasing at the rate of \( 5 \mathrm{cm} / \mathrm{minute} \) and the width y is increasing at the rate of \( 4 \mathrm{cm} / \mathrm{minute} . \) When \( x=8 \mathrm{cm} \) and
\( y=6 \mathrm{cm} \) find the rates of change of
perimeter, and
(b) the area of the
rectangle.
Subject: Maths
If position vectors of four vertices of a square are \( \boldsymbol{A}=\mathbf{3} \boldsymbol{i}-\boldsymbol{\lambda} \boldsymbol{j}, \boldsymbol{B}=\mathbf{9} \boldsymbol{i}-\boldsymbol{6} \boldsymbol{k} \)
\( \boldsymbol{C}=\mathbf{6} \boldsymbol{j}-\mathbf{5} \boldsymbol{k} \) and \( \boldsymbol{D}=\boldsymbol{\alpha} \boldsymbol{i}-\boldsymbol{3} \boldsymbol{j}+\boldsymbol{4} \boldsymbol{k} \)
then value of \( \lambda-\alpha \) is :
A . 10
B. 15
c. 25
D. None of these
Subject: Maths
An \( M B M \) applies for a job in two firms
\( X \) and \( Y . \) The probability of his being selected in firm \( X \) is 0.7 and being
rejected at \( Y \) is \( 0.5 . \) The probability of at least one of his applications being
rejected is \( 0.6 . \) The probability that he will be selected in one of the firms, is
A . 0.6
B. 0.4
\( c .0 .8 \)
D. None of these
Subject: Physics
A pilot takes off from an airport at \( 15^{\circ} \mathrm{S} \)
latitude and flies \( 55^{\circ} \) due North. What
latitude the pilot has reached?
\( A \cdot 55^{\circ} \mathrm{N} \)
B . \( 40^{\circ} \) N
\( c \cdot 70^{\circ} \)
D. \( 15^{\circ} \mathrm{N} \)
Subject: Biology
Match and find the correct combination
(a)
Trichomes \( \quad \) (i) \( \quad \) Gaseous
exchange
(b)
Tracheids \( \quad \) (ii) \( \quad \) Mechanical
strength
(c) Bast fibres water
(iii) \( \quad \) conduction
\( (d) \)
Guard
cells
(iv) Water
conduction
(v) Synthesis of
food 1
\( \mathbf{A} \)
(a)-(iii), (b)-(v), (c)-(iv), (d)-(ii)
B. (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
C. (a)-(i), (b)-(iv), (c)-(ii), (d)-(iii)
D. \( (a)-(v),(b)-(\text { iii) },(c)-(i v),(d)-(i i) \)
Subject: Physics
A boy stands on the ground. The area
below his feet is \( 70 \mathrm{cm}^{2} \). The pressure he
exerts on the ground is \( 7 N / c m^{2} \)
Calculate the total force acting on the ground.
A . \( 0.1 N \)
в. \( 10 N \)
c. \( 490 N \)
D. \( 4.9 N \)
Subject: Maths
Calculate the approximate value of
mode for the following data:
\( \begin{array}{lllll}\mathbf{x} & \mathbf{3}- & \mathbf{6}- & \mathbf{9}- & \mathbf{1 2}- \\ \mathbf{6} & \mathbf{9} & \mathbf{1 2} & \mathbf{1 5}\end{array} \)
2 3
A . 14
B. 15
c. 16
D. 17
Subject: Maths
The distance between the lines \( 3 x+ \)
\( \mathbf{4} \boldsymbol{y}=\mathbf{9} \) and \( \mathbf{6} \boldsymbol{x}+\mathbf{8} \boldsymbol{y}+\mathbf{1 5}=\mathbf{0} \) is:
\( A \cdot \frac{3}{10} \)
в. \( \frac{33}{10} \)
\( c \cdot \frac{33}{5} \)
D. None of these
Subject: Physics
The mass of a box measured by a grocer's balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. The total mass of the
box is:
A. 2.3 kg
B. 2.34 kg
c. \( 2.340 \mathrm{kg} \)
D. 2.3403 kg
Subject: Chemistry
Which is true statement about \( D_{2} O \)
and \( \boldsymbol{H}_{2} \boldsymbol{O} ? \)
A \( \cdot D_{2} O \) has lower dielectric constant than \( H_{2} O \)
B. \( N a C l \) is more soluble in \( D_{2} O \) than \( H_{2} O \)
c. Both are correct
D. None of these
Subject: Physics
If \( R=r \) adius of the earth and \( g= \) acceleration due to gravity on the
surface of the earth, the acceleration
due to gravity at a distance (r>R) from the centre of the earth is proportional to
\( A \)
в. \( r^{2} \)
\( c \cdot r^{-2} \)
D. \( r^{-1} \)
Subject: Maths
If \( g(f(x))=|\sin x| \) and \( f(g(x))= \)
\( (\sin \sqrt{x})^{2}, \) then
A \( \cdot f(x)=\sin ^{2} x \cdot g(x)=\sqrt{x} \)
B. \( f(x)=\sin x, g(x)=|x| \)
C. \( f(x)=x^{2}, g(x)=\sin \sqrt{x} \)
D. f and g can not be determined
Subject: Maths
Area of the region bounded by \( y= \)
\( e^{x}, y=e^{-x}, x=0 \) and \( x=1 \) in sq. units
is:
\( ^{A} \cdot\left(e+\frac{1}{e}\right)^{2} \)
\( ^{\text {B }}\left(e-\frac{1}{e}\right)^{2} \)
\( ^{c} \cdot\left(\sqrt{e}+\frac{1}{\sqrt{e}}\right)^{2} \)
D \( \left(\sqrt{e}-\frac{1}{\sqrt{e}}\right)^{2} \)
Subject: Physics
C, respectively, are connected in series with an inductor of inductance \( L \)
Initially the capacitors have charge
such that \( V_{B}-V_{A}=4 V_{0} \) and \( V_{C}- \)
\( V_{D}=V_{0} . \) Initial current in the circuit is
zero. Find:
a. the maximum current that will flow in
the circuit.
b. the potential difference across each
capacitor at that instant.
\( \mathbf{A} \cdot I_{0}=V_{0} \sqrt{\frac{3 C}{L}} ; \mathbf{b} . V_{1}=3 V_{0}, V_{2}=3 V_{0} \)
B \( \cdot I_{0}=V_{0} \sqrt{\frac{6 C}{L}} ; \) b. \( V_{1}=3 V_{0}, V_{2}=3 V_{0} \)
C \( \cdot I_{0}=V_{0} \sqrt{\frac{3 C}{L}} ; \) b. \( V_{1}=1.5 V_{0}, V_{2}=3 V_{0} \)
D \( \cdot I_{0}=V_{0} \sqrt{\frac{6 C}{L}} ; \) b. \( V_{1}=1.5 V_{0}, V_{2}=3 V_{0} \)
Subject: Maths
Calculate the sum of the series
\( \left(x+\frac{1}{x}\right)^{2}+\left(x^{2}+\frac{1}{x^{2}}\right)^{2}+ \)
\( \left(\boldsymbol{x}^{3}+\frac{1}{\boldsymbol{x}^{3}}\right)^{2}+\ldots . .\left(\boldsymbol{x}^{\boldsymbol{n}}+\frac{1}{\boldsymbol{x}^{\boldsymbol{n}}}\right)^{2} \)
A \( \cdot \frac{x^{n}-1}{x^{2}-1} \cdot\left[\frac{x^{2 n+2}+1}{x^{2 n}}\right]+2 n \)
B. \( \frac{x^{n}-1}{x^{2}-1} \cdot\left[\frac{x^{n+1}+1}{x^{2 n}}\right]+2 n \)
\( \frac{x^{2 n}-1}{x^{2}-1} \cdot\left[\frac{x^{2 n+2}+1}{x^{2 n}}\right]+2 n \)
D \( \frac{x^{2 n}-1}{x^{2}-1} \cdot\left[\frac{x^{n+1}+1}{x^{2 n}}\right]+2 n \)
Subject: Biology
The correct explanation of the
organisms is
\( \begin{array}{llll} & \text { A } & \text { B } & \text { c } \\ \text { a) } & \text { Saprophyte } & \text { Heterotrophs } & \text { Autotrop } \\ \text { b) } & \text { Heterotrophs } & \text { Autotrophs } & \text { Saproph } \\ \text { c) } & \text { Autotrophs } & \text { Saprophyte } & \text { Autotrop } \\ \text { d) } & \text { Autotrophs } & \text { Heterotrophs } & \text { Heterotrc }\end{array} \)
Subject: Physics
Two \( 30 \mathrm{kg} \) blocks rest on a massless
belt which passes over a fixed pulley
and is attached to a 40 kg block. If
coefficient of friction between the belt
and the table as well as between the
belt and the blocks \( \mathrm{B} \& \) block \( \mathrm{C} \) is \( \mu . \) The
system is released from rest from the
position shown, the speed with which
the block \( \mathrm{B} \) falls off the belt is
This question has multiple correct options
\( \mathbf{A} \cdot 2 \sqrt{2} m / s \) if \( \mu=0.2 \)
B. \( 2 m / s \) if \( \mu=0.2 \)
\( c: \quad \) । \( / s \) if \( \mu=0.5 \)
D. \( 2.5 m / s \) if \( \mu=0.5 \)
Subject: Chemistry
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
\( \Delta H^{o}=-18 \quad k J \)
According to Le-Chateliers principal the favourable condition for good yield of
\( N H_{3} \)
A. Low pressure and low temperature
B. High pressure and low temperature
c. Low pressure and High temperature
D. High pressure and High temperature
Subject: Biology
Read the statements regarding muscle proteins and identify the correct
statements
i. Actin is a thin filament and is made
up of two F-actins
ii. Complex protein, tropomyosin is distributed at regular intervals on the
troponin
iii. Myosin is a thick filament which is
also a polymerized protein
iv. Globular head of meromyosin consists of light meromyosin (LMN)
A. i, iii and iv are correct
B. i and iii are correct
c. i, ii and iii are correct
D. i, ii and iv are correct
E. ii and iv are correct
Subject: Chemistry
The electronic configuration of
gadolinium (atomic number 64 ) is ?
\( \mathbf{A} \cdot[X e] 4 f^{3} 5 d^{5} 6 s^{2} \)
В . \( [X e] 4 f^{7} 5 d^{2} 6 s^{1} \)
\( \mathbf{c} \cdot[X e] 4 f^{7} 5 d^{1} 6 s^{2} \)
\( \mathbf{D} \cdot[X e] 4 f^{8} 5 d^{6} 6 s^{2} \)
Subject: Maths
The Boolean expression \( ((\boldsymbol{p} \wedge \boldsymbol{q}) \vee \)
\( (p \vee \sim q)) \wedge(\sim p \wedge \sim q) \) is equivalent
to :
\( \mathbf{A} \cdot p \wedge(\sim q) \)
B . \( p \vee(\sim q) \)
c. \( (\sim p) \wedge(\sim q) \)
D. \( p \wedge q \)
Subject: Physics
If in an A.C.L - \( C \) series circuit, \( X_{L}>X_{C} \)
Hence current
A \( \cdot \) lags behind the voltage by \( \frac{\pi}{2} \) in phase
B. leads the voltage by \( \frac{\pi}{2} \) in phase
c. leads the voltage by \( \pi \) in phase
D. lags behind the voltage by \( \pi \) in phase
Subject: Chemistry
The re-activity of \( \mathrm{Ca}, \mathrm{Sr}, \mathrm{Mg} \) and Ba with water follow the order:
A. \( S r>B a>M g>C a \)
в. \( B a>S r>C a>M g \)
c. \( C a>M g>B a>S r \)
\( \mathbf{D} \cdot S r>C a>M g>B a \)
Subject: Chemistry
Assertion
Conversion of potassium ferrocyanide to potassium is an oxidation process.
Reason Oxidation is the additon of oxygen 1 electronegative element to a substance or removal of hydrogen / electropositive element from a substance.
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
If a unit vector \( \vec{a} \) makes angles \( \frac{\pi}{3} \) with \( \hat{i} \)
\( \frac{\pi}{4} \) with \( \hat{j} \) and an acute angle \( \theta \) with \( \hat{k} \)
then find \( \theta \) and hence, the components of \( \overrightarrow{\boldsymbol{a}} \)
Subject: Physics
A copper voltameter is connected in
series with a coil of resistance \( 10 \Omega \)
When a steady current is passed through the circuit, \( 0.297 g \) of copper is found to be deposited at the cathode in 15 \( \min \). The electrochemical equivalent
of copper is \( 3.3 \times 10^{-7} k g C^{-} . \) Heat
liberated in the coil is:
A. \( 900 J \)
в. \( 90 J \)
c. \( 9 J \)
D. \( 9 k J \)
Subject: Maths
If one side of an equiateral triangle is \( 3 x+4 y=7 \) and its vertex is (1,2)
then the length of the side of the triangle is
A \( \cdot \frac{4 \sqrt{3}}{17} \)
B. \( \frac{3 \sqrt{3}}{16} \)
\( c \cdot \frac{8 \sqrt{3}}{15} \)
D. \( \frac{4 \sqrt{3}}{15} \)
Subject: Chemistry
1 L of a solution containing 10 g of
\( C u S O_{4} \) is to be electroyzed by a current strength of 48.25 A for 200 s. The weight of the final solution and pH of the
solution at the end of electrolysis are :
(assume that the volume remains
constant during electrolysis)
A. \( 6.825 g, p H=1 \)
в. \( 6.325 g, p H=10 \)
c. \( 6.795 g, p H=7 \)
D. none of the above
Subject: Physics
Instantaneous displacement current
\( 1 A \) in the space between the parallel
plates of \( 1 \mu F \) capacitor can be
established by changing the potential difference at the rate of:
A \( .0 .1 V / s \)
B. \( 1 V / s \)
c. \( 10^{6} V / s \)
D. \( 10^{-6} V / s \)
Subject: Chemistry
A compound \( C_{6} H_{14} O_{2} \) has two tertiary
alcoholic groups. The IUPAC name of compound is:
A. 2,3 - dimethyl - 1,2 - butanediol
B. 3,3 - dimethyl- 1,2 - butanediol
c. 2,3 - dimethyl- 2,3 - butanediol
D. 2 - methyl - 2,3 - pentanediol
Subject: Chemistry
The uncertainties in the velocities of
two particles, \( A \) and \( B \) are 0.05 and
\( 0.02 m s^{-1} \) respectively. The mass of \( B \)
is five times to that of the mass of \( \boldsymbol{A} \) What is the ratio of uncertainties \( \frac{\Delta x_{A}}{\Delta x_{B}} \) in their positions?
A . 2
B. 0.25
\( c \cdot 4 \)
\( D \)
Subject: Physics
The radius of a soap bubble is r. The surface tension of soap solution is \( \mathrm{S} \)
Keeping temperature constant, the radius of the soap bubble is
doubled, the energy necessary for this will be :
A \( \cdot 24 \pi r^{2} S \)
B. \( 8 \pi r^{2} S \)
\( \mathrm{c} \cdot 12 \pi r^{2} S \)
D. \( 16 \pi r^{2} S \)
Subject: Chemistry
The state of hybridization for the transition state of hydolysis
mechanism of \( B C l_{3} \) and \( S F_{4} \) are
respectively:
A \( \cdot s p^{2}, s p^{3} d \)
в. \( s p^{3}, s p 3 \)
\( \mathbf{c} \cdot s p^{3}, s p^{3} d^{2} \)
\( \mathbf{D} \cdot s p^{3}, s p^{3} d \)
Subject: Maths
Rakesh took a loan of Rs. 80,000 from a
bank. If the rate of interest is \( 10 \% \) per annum. Find the difference in amounts he would be paying after \( \frac{3}{2} \) years, if the interest is compounded semi-annually.
A. 92,610
00 0,610 ?
B. 92,510
c. 8945
D. 7845
Subject: Maths
If \( \tan A-\tan B=x \) and \( \cot B- \)
\( \cot A=y \) then \( \cot (A-B)= \)
A \( \cdot \frac{1}{y}-\frac{1}{x} \)
в. \( \frac{1}{x}-\frac{1}{y} \)
c. \( \frac{1}{x}+\frac{1}{y} \)
D. None of these
Subject: Chemistry
\( \mathrm{NH}_{4} \mathrm{NO}_{3} \) on heating to \( 250^{\circ}-260^{\circ} \mathrm{C} \)
gives the gas:
A \( . N_{2} \) O
в. \( N_{2} \)
\( c \cdot N O_{2} \)
D. \( N O \)
Subject: Physics
A spring with force content \( k \) is initially
stretched by \( x_{1} . \) If it is further stretched
by \( x_{2}, \) then the increase in its potential
energy is.
A \( \cdot \frac{1}{2} k\left(x_{2}^{2}-x_{1}^{2}\right) \)
B \( \cdot \frac{1}{2} k x_{2}\left(x_{2}-2 x_{1}\right) \)
\( \mathbf{c} \cdot \frac{1}{2} k x_{1}^{2}-\frac{1}{2} k x_{2}^{2} \)
D・\frac{ } { \frac { 1 } { 2 } } x _ { 1 } ( x _ { 1 } + x _ { 2 } ) ^ { 2 }
Subject: Physics
Ferrimagnetic those expected to have large magnetism but actually have small net magnetic moment e.g. magnetic \( \left(\boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}\right), \) ferrites \( \left(\boldsymbol{M}^{2}+\right. \)
\( F e_{2} O_{4} \) ). This is because of unequal
number of domains in opposite direction.
Subject: Physics
If 10 g of ice at \( 0^{\circ} C \) mixes with 10 g of
water at \( 10^{\circ} \mathrm{C} \), then the final
temperature \( t \) is given by
A \( \cdot(10 \times 80)+10(t-0)=10(10-t) \)
в. \( 10 \times 80=10(10-t)+10(t-0) \)
c. \( t=5^{\circ} \mathrm{C} \)
D . \( t=0^{\circ} \mathrm{C} \)
Subject: Chemistry
Structure of propanone is:
A \( \cdot C H_{3}-C H_{2}-C H_{3} \)
в. \( C H_{3}-C-O H \)
॥
О
c. \( C H_{3}-O-C_{3} H_{7} \)
D. \( C H_{3}-C-C H_{3} \)
I
O
E \( \cdot C H_{3}-C H_{2}-N H_{2} \)