AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A thin rod is bent in the shape of a small circle of radius r. If the charge per unit
length of the rod is \( \sigma, \) and if the circle is rotated about its axis at a rate of
rotations per second, the magnetic induction at a point on the axis at a
large distance y from the centre is?
A \( \cdot \mu_{0} \pi r^{3} n \frac{\sigma}{y^{3}} \)
В \( \cdot 2 \mu_{0} \pi r^{3} n \frac{\sigma}{y^{3}} \)
c. \( \left(\frac{\mu_{0}}{4 \pi}\right) r^{3} n \frac{\sigma}{y^{3}} \)
D \( \cdot\left(\frac{\mu_{0}}{2 \pi}\right)^{r^{3}} n \frac{\sigma}{y^{3}} \)
Subject: Physics
A circular coil of radius \( 10 \mathrm{cm} \) having
100 turns carries a current of 3.2 A. The magnetic field at the centre of the coil
is:
A . 2.01 \( \times 10^{-3} T \)
B. 5.64 \( \times 10^{-3} T \)
c. \( 2.64 \times 10^{-4} T \)
D. 5.64 \( \times 10^{-4} T \)
Subject: Physics
A particle of mass \( \mathrm{m} \) and charge \( -\mathrm{q} \) moves diametrically through a uniformly charged sphere of radius R with total charge \( Q \). The angular frequency of the particle's simple harmonic motion, if its amplitude \( <\mathrm{R} \), is given by :
A. \( \sqrt{\frac{1}{4 \pi \varepsilon_{0}} \frac{q Q}{m R}} \)
в. \( \sqrt{\frac{1}{4 \pi \varepsilon_{0}} \frac{q Q}{m R^{2}}} \)
c. \( \sqrt{\frac{1}{4 \pi \varepsilon_{0}} \frac{q Q}{m R^{3}}} \)
D. \( \sqrt{\frac{1}{4 \pi \varepsilon_{0}} \frac{m}{m Q}} \)
Subject: Chemistry
The decreasing order of acidic character of the following is:
(I) \( E t O H \)
(II) \( M e- \) COOH
(III) \( M e O O C-C H_{2}-C O O M e \)
A \( . I>I I I>I V>I \)
B. \( I I>I I I>I>I V \)
c. \( I>I V>I I I>I I \)
D. \( I V>I>I I I>I I \)
Subject: Maths
The D.E of the family of circles which
touch the \( y \) -axis at the origin is:
A \( y_{1}=\frac{x^{2}-y^{2}}{x y} \)
B. \( y_{1}=\frac{x^{2}-y^{2}}{2 x y} \)
C \( y_{1}=\frac{y^{2}-x^{2}}{2 x y} \)
D. \( y_{1}-\left(y^{2}-x^{2}\right)+x y=0 \)
Subject: Chemistry
What is the difference between galvanic cell and electrolytic cell?
A. In galvanic cell, electrical energy is produced while in electrolytic cell electrical energy is consumed
B. In galvanic cell, anode is (-) ve while in electrolytic cell anode is \( (+) \) ve
c. In galvanic cell, cathode is \( (+) \) ve while in electrolytic cell anode is \( (-) v e \)
D. All are correct
Subject: Physics
Each of the following particles is projected with the same speed into a uniform magnetic field \( B \) such that the particle's initial velocity is perpendicular to \( B \). Which one would
move in a circular path with the largest radius?

A particle is projected at a given speed into a uniform magnetic field \( B \) and perpendicular to it. Choose the particle that will have the largest radius.
A. Proton
B. Beta particle
c. Alpha particle
D. Electron
E . Positron
Subject: Physics
A spherical metal shell A of radius \( \boldsymbol{R}_{\boldsymbol{A}} \)
and a solid metal sphere \( B \) of radius
\( R_{B}\left(<R_{A}\right) \) are kept far apart and each
is given ' \( +Q \) '. Now they are connected by thin metal wire. Then:
This question has multiple correct options
A \( \cdot E_{A}^{\text {inside }}=0 \)
в. \( Q_{A}>Q_{B} \)
C \( \frac{\sigma_{A}}{\sigma_{B}}=\frac{R_{B}}{R_{A}} \)
D. \( E_{A}^{\text {onsurface }}<E_{B}^{\text {onsurface }} \)
Subject: Chemistry
Assertion
The ratio of radius of first orbit to
second orbit of hydrogen atom is 1: 4
Reason
Radius for each circular orbit \( = \)
\( \mathbf{0 . 5 2 9} \boldsymbol{n ^ { 2 }} \boldsymbol{\hat { A }} \)
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
Consider the following list of reagents:
Acidified \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7}, \) alkaline
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}, \boldsymbol{C u} \boldsymbol{S} \boldsymbol{O}_{4}, \boldsymbol{H}_{2} \boldsymbol{O}_{2}, \boldsymbol{C l}_{2}, \boldsymbol{O}_{2}, \boldsymbol{F e C l} \)
and \( N a_{2} S_{2} O_{3} . \) The total number of
reagents that can oxidise aqueous iodide to iodine is:
Subject: Chemistry
pH of \( 0.1 \mathrm{M} \) solution of \( N a A \) (sodium
salt of a weak acid \( H A \) ) is 8.92

Calculate \( p K_{a} \) of \( H A \). If a drop of HPh
\( \left(p K_{i n}=9.52\right) \) be added to the above
solution, predict whether the pink colour will visible or not under the
medical fact that our eyes can see the pink colour if the mole \( \% \) of ionized form
of indicator is \( 25 \% \) or more.
A. Pink colour will be visible
B. Pink colour will not be visible
c. cannot be predicted
D. None of the above
Subject: Maths
Which of the following are countably
infinite and uncountably infinte.
(i) Set of natural numbers
(ii) Set of real numbers
A. Both \( (i) \) and \( (i i) \) are uncountably infinite
B. ( \( i \) ) uncountably infinite and
\( (i i) \) countably infinite
C. \( (i) \) countably infinite and \( (i i) \) uncountably infinite
D. Both \( (i) \) and \( (i i) \) are countably infinite
Subject: Chemistry
The half life period of a first order reaction is 20 minutes. The time
required for the concentration of the
reactant to change from \( 0.16 M \) to
\( \mathbf{0 . 0 2} \boldsymbol{M} \) is:
\( \mathbf{A} .80 \) minutes
B. 60 minutes
c. 40 minutes
D. 20 minutes
Subject: Chemistry
Two radioactive elements \( X \) and \( Y \)
have half-lives of 50 and 100 minute
respectively. An initial sample of both the elements has same no. of atoms. The ratio of the remaining number of atoms of \( X \) and \( Y \) after 200 minutes is:
\( A \cdot 2 \)
B. 1/2
\( c \cdot 4 \)
D. \( 1 / 4 \)
Subject: Maths
Prove that \( \int_{0}^{\pi / 2} \ln (\sin x) d x= \)
\( \int_{0}^{\pi / 2} \ln (\cos x) d x= \)
\( \int_{0}^{\pi / 2} \ln (\sin 2 x) d x=-\frac{\pi}{2} . \ln 2 \)
Subject: Chemistry
Cationic surfactants is/are:
A. \( C_{17} H_{35} \)COONa
в. \( C_{17} H_{35} \)СООК
c \( \cdot C_{17} H_{35} S O_{3} N a \)
D. \( C_{16} H_{33} N\left(C H_{3}\right)_{3} C l \)
Subject: Chemistry
Assertion: A 1 m NaCl(aq) solution will
freeze at a temperature below \( 273 K \)
Reason: As a solute is added to a
Solvent, the boiling point increases
while the freezing point decreases.
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 Asssertion and Reason are false
Subject: Physics
An electric bulb of \( 250 c c \) was sealed off at
a pressure \( 10^{-3} \mathrm{mm} \) of \( \mathrm{Hg} \) and
temperature \( \$ \$ 27^{\wedge}\{0\} \$ \$ \) C. The number
of molecules present in the gas is
A \( \cdot 8.02 \times 10^{15} \)
В. \( 6.023 \times 10^{23} \)
c. \( 8.021 \times 10^{23} \)
D. \( 6 \times 10^{22} \)
Subject: Chemistry
Sodium forms \( N a^{+} \) ion but it does not
form \( N a^{2+} \) because of the:
A. very low value of (IE) and (IE) 2
B. very high value of (IE) and (IE)
c. low value of (IE) and low value of (IE) 2
D. low value of (IE) and high value of (IE) 2
Subject: Maths
If \( \boldsymbol{x} \boldsymbol{\epsilon}[-1,0), \operatorname{then} \boldsymbol{\pi}-\left(\cos ^{-1}\left(2 \boldsymbol{x}^{2}-\right.\right. \)
1) \( \left.-2 \sin ^{-1} x\right) \) is equal to
A \( \cdot-\frac{\pi}{2} \)
в.
c. \( \frac{3 \pi}{2} \)
D. - 2 \( \pi \)
Subject: Maths
Let \( A \) and \( B \) be two sets such that
\( \boldsymbol{A}= \)
\( \boldsymbol{x}: \boldsymbol{f}(\boldsymbol{x})=\left[\boldsymbol{x}^{2}\right], \) is discontinuous in \( [\mathbf{0}, \mathbf{2}] \)
\( \boldsymbol{B}= \)
\( \boldsymbol{x}: \boldsymbol{f}(\boldsymbol{x})=\left[\tan ^{2} \boldsymbol{x}\right]\left[\cot ^{2} \boldsymbol{x}\right], \) is non \( - \) diff
If \( m \) is the total number of onto
functions from \( A \) to \( B \) then find the
total number of divisors of \( \boldsymbol{m} .[\mathrm{Note}:[\boldsymbol{k} \)
denotes the greatest integer less than or equal to \( k .] \)
Subject: Maths
If \( \boldsymbol{x}=\mathbf{5} \) and \( \boldsymbol{y}=\mathbf{2} \) then \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}=\mathbf{9 . T h e} \)
contrapositive of this statement is
A. If \( x-2 y \neq 9 \) then \( x \neq 5 \) or \( y \neq 2 \)
B. If \( x-2 y \neq 9 \) then \( x \neq 5 \) and \( y \neq-2 \)
c. If \( x-2 y=9 \) then \( x=5 \) and \( y=-2 \)
D. none of these.
Subject: Chemistry
Identify the correct statement(s) for the
given reaction.
\( \boldsymbol{H} \boldsymbol{C l}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{H}_{3} \boldsymbol{O}^{+}+\boldsymbol{C l}^{-} \)
a) Conjugate base of \( \boldsymbol{H} \boldsymbol{C l} \) is \( \boldsymbol{C l}^{-} \)
b) Conjugate acid-base pair is \( \boldsymbol{H}_{3} \boldsymbol{O}^{+} \)
and \( \boldsymbol{H}_{2} \boldsymbol{O} \)
c) Conjugate base of \( \boldsymbol{H}_{2} \boldsymbol{O} \) is \( \boldsymbol{H}_{3} \boldsymbol{O}^{+} \)
d) Conjugate acid-base pair is \( \boldsymbol{H} \boldsymbol{C l} \) and
\( \boldsymbol{H}_{3} \boldsymbol{O}^{+} \)
\( A \cdot a \) and \( b \) are correct
B. a and c are correct
c. \( c \) and \( d \) are correct
D. a and d are correct
Subject: Chemistry
The vander waals constants for \( \boldsymbol{H} \boldsymbol{C l} \) are
a \( 371.843 K P a \) and \( b=40.8 \mathrm{cm}^{3} m o l^{-1} \)
Choose the correct options:
A. The critical pressure is \( 8.273 \mathrm{MPa} \)
B. The critical temperature is \( 224.8 K \)
C. The critical volume is \( 122.4 \mathrm{cm}^{3} \)
D. The critical temperature is \( 324.8 K \)
Subject: Physics
The current flowing through an external
resistance of \( 2 \Omega \) is \( 0.5 A \) when it is
connected to the terminals of a cell. This
current reduces to 0.25 A when the
external resistance is \( 5 \Omega \). Use

Kirchhoff's laws to find e.m.f. of cell.
(Ans \( : E=1.5 V, r=1 \Omega) \)
Subject: Physics
A short electric dipole moment \( \vec{p} \) is
placed at a distance \( r \) from the centre
of a solid metallic sphere of radius \( a(< \)
\( <r) \) as shown in the figure. The
electric field intensity at the centre of
sphere \( C \) due to induced charge on the
sphere is :
A. zero
B. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{2 p}{r^{3}} \) along \( C O \)
\( ^{\mathbf{C}} \frac{1}{4 \pi \varepsilon_{0}} \frac{2 p}{r^{3}} \) along \( O C \)
D. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{p}{r^{3}} \) along \( C O \)
Subject: Physics
A particle is moving with velocity \( \vec{v}= \) \( \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}} \) and it produces an electric field at that point equal to \( 2 \hat{k} \), find the magnetic field at that point (all) quantities are in Sl units)
A \( \cdot(6 \hat{i}-2 \hat{j}) \mu_{0} \varepsilon_{0} \)
B . \( (6 \hat{i}+2 \hat{j}) \mu_{0} \varepsilon_{0} \)
c. zero
D. cannot be determined from the given data
Subject: Physics
A person is throwing two balls in the air one after the other. He throws the
second ball when the first ball is at the
highest point. If he is throwing the balls every second, how high do they rise?
A. \( 5 m \)
B. \( 3.75 \mathrm{m} \)
c. \( 2.50 m \)
D. \( 1.25 \mathrm{m} \)
Subject: Maths
In a \( \triangle A B C, B C=A B \) and \( \angle B=80^{0} \)
Then \( \angle A \) is equal to?
A \( \cdot 80^{\circ} \)
\( ^{0} 0 \cdot 8 \cdot 8^{00} \)
B . \( 40^{\circ} \)
\( c \cdot 50^{0} \)
D. \( 100^{\circ} \)
Subject: Chemistry
How many stereoisomers of
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H C H}= \)
\( \boldsymbol{C H} \boldsymbol{C H}_{2} \boldsymbol{C H}(\boldsymbol{O H}) \boldsymbol{C H}_{2} \boldsymbol{C l} \) are
possible ?
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
Subject: Chemistry
Coal is a fossil fuel and it cannot be
prepared in a laboratory or industry because the formation of coal:
a. is very slow process.
b. needs very low pressure and low
temperature.
c. needs very high pressure and high
temperature.
d. causes air pollution.
Select the correct alternative.
\( A \cdot a, c \) and \( d \)
B. b and d
\( c \cdot c \) and \( a \)
D. dand c
Subject: Physics
A mass of diatomic gas \( (\gamma=1.4) \) at a
pressure of 2 atm is compressed adiabatically so that its temperature
rise from \( 27^{\circ} \mathrm{C} \) to \( 927^{\circ} \mathrm{C} \). The pressure
of the gas is final state is
A .28 atm
B. 68.7 atm
c. 256 atm
D. 8 atm
Subject: Chemistry
The \( p H \) at which a \( 0.01 \mathrm{M} A l^{+3} \) solution
is \( 99.99 \% \) precipitated is:
\( \left(\boldsymbol{K}_{s p} \boldsymbol{A l}(\boldsymbol{O H})_{3}=\mathbf{1} \times \mathbf{1 0}^{-18} \boldsymbol{a t} \quad \mathbf{2 5}\right) \)
A . 6.67
B. 7.67
c. 8.67
D. 9.617
Subject: Chemistry
Which is false for the following reaction? \( \left[\boldsymbol{C u}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{3} \boldsymbol{O} \boldsymbol{H}\right]^{+}+ \)
\( \left[\begin{array}{c}\left.\boldsymbol{A l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \longrightarrow\left[\boldsymbol{C u}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+}+\end{array}\right. \)
\( \left[\begin{array}{c}\left.\boldsymbol{A l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5} \boldsymbol{O} \boldsymbol{H}\right]^{2+} \\ D\end{array}\right. \)
This question has multiple correct options
\( A . A \) is base and \( B \) is acid
B. \( C \) is conjugate acid of \( A \)
c. \( B \) is conjugate acid of \( D \)
D. \( B \) is conjugate base of \( D \)
Subject: Chemistry
toppr
Q Type your question
conductivity of theses reactions is
given in List II. Match List I with List II
and select the correct using the code
given below the lists:
List-A
\( (P) \)
(1) Conductivity decreases and
\[
\left(\begin{array}{cc}
\left.C_{2} H_{5}\right)_{3} N+ & \text { then increases } \\
X &
\end{array}\right.
\]
\[
C H_{2} C O O H
\]
(Q)
(2) Conductivity decreases and
\[
\begin{array}{c}
K I(0.1 M)+ \\
X
\end{array}
\]
\[
\begin{array}{c}
A g N O_{3}(0.01 M) \\
Y
\end{array}
\]
(R)
(3) Conductivity increases and \( C H_{2} C O O+\quad \) then does not change much \( K_{Y}^{O H} \)
(4) Conductivity does not
(S) \( N a O H+\quad \) change much and then \[ X \] \( H I \)
\( Y \)\( \quad \) increases
A. 3,4,2,1
B. 4,3,2,1
C. 2,3,4,1
D. 1,4,3,2
Subject: Maths
There are 30 tickets numbered from 1 to
30 in a box and a ticket is drawn at
random. If \( A \) is the event that the
number on the ticket is a perfect
square, then write the sample \( S, n(S) \) the event \( \boldsymbol{A} \) and \( \boldsymbol{n}(\boldsymbol{A}) \)
Subject: Chemistry
If the \( H^{+} \) concentration decreased from
\( 1 \mathrm{M} \) to \( 10^{-4} \mathrm{M} \) at \( 25^{\circ} \mathrm{C} \) for the couple
\( M n O_{4}^{-} / M n^{2+}, \) then the oxidising
power of the \( M n O_{4}^{-} / M n^{2+} \) couple decreases by
A . -0.18v
B. 0.18V
c. \( 0.38 v \)
D. -0.38V
Subject: Chemistry
When borax is dissolved in water:
\( \mathbf{A} \cdot B(O H)_{3} \) is formed only
\( \mathbf{B} \cdot\left[B(O H)_{4}\right]^{-} \) is formed only
\( \mathbf{c} \cdot \operatorname{Both} B(O H)_{3} \) and \( \left[B(O H)_{4}\right]^{-} \) are formed
D. \( \left[B_{3} O_{3}(O H)_{4}\right]^{-} \) is formed only
Subject: Maths
Let \( \boldsymbol{x}>-\mathbf{1}, \) then statement \( \boldsymbol{p}(\boldsymbol{n}):(\mathbf{1}+ \)
\( \boldsymbol{x}^{n}>1+\boldsymbol{n} \boldsymbol{x}, \) where \( \boldsymbol{n} \in \boldsymbol{N} \) is true for
A. For all \( n \epsilon N \)
B. For all \( n>1 \)
c. For all \( n>1 \), provided \( x \neq 0 \)
D. For all \( n>2 \)
Subject: Physics
Two particles of equal masses have velocities \( \vec{V}_{1}=2 \hat{i} m / s . \) The first
particle has an acceleration \( \overrightarrow{a_{1}}=(3 \hat{i}+ \)
\( 3 \hat{j}) \frac{m}{s^{2}}, \) while the acceleration of the
other particle is zero. The center of
mass of the particles moves in a :
A. Circle
B. Parabola
c. Straight line
D. Ellipse
Subject: Chemistry
Choose the correct answer.
\( \boldsymbol{H}_{3} \boldsymbol{O}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \mathbf{A} \cdot 2 H_{2} O(l) \)
в. \( 2 H_{2} O(s) \)
\( \mathrm{c} \cdot 2 \mathrm{H}_{2} \mathrm{O}(g) \)
D. \( H_{2} O(l) \)
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) reduces \( \boldsymbol{K}_{3}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) in:
A. neutral medium
B. acidic medium.
c. alkaline medium.
D. non-polar solution
Subject: Chemistry
For the reaction:
\( \left[C r\left(H_{2} O\right)_{6}\right]^{3+}+\left[S C N^{\ominus}\right] \rightarrow \)
\( \left.\left[\mathrm{Cr} 9 \mathrm{H}_{2} \mathrm{O}\right)_{5} \mathrm{NCS}\right]^{2+} \mathrm{H}_{2} \mathrm{O} \)
The rate law is : \( r=k\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}^{3+}\left[\mathrm{SCN}^{\ominus}\right]\right. \)
The value of k is \( 2.0 \times 10^{-6} L m o l^{-1} s^{-1} \) at
\( 14^{0} \mathrm{C} \) and \( 2.2 \times 10^{-5} L m o l^{-1} s^{-1}, \) at \( 30^{0} \mathrm{C} \)
What is the value of \( E_{a} ? \)
A \( .26 k c a l m o l^{-1} \)
B. \( 2.6 k \)cal \( \mathrm{mol}^{-1} \)
c. \( 2600 k c a l \) mol\( ^{-1} \)
D. \( 260 k c a l \) mol\( ^{-1} \)
Subject: Physics
Assertion
Kelvin Temperature Scale has the
Absolute Zero.
Reason
At Absolute Zero, the molecular energy
is minimum
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 diwali rocket moves vertically up with
a constant acceleration \( a_{1}=20 / 3 m s^{-2} \)
After sometimes, its fuel gets
exhausted and then it falls freely with
an acceleration \( a_{2}=10 m s^{-2} . \) If the
maximum height attained by the diwali rocket is \( h, \) using graphical method,
find its speed when the fuel is just exhausted. Assume \( h=50 \mathrm{m} \)
Subject: Chemistry
The elevation in boiling point of a
solution \( d T_{b} \) is related with molality of
solution \( (\mathrm{m}) \) by the relation:
\( \boldsymbol{d} \boldsymbol{T}_{\boldsymbol{b}}=\left[\frac{\boldsymbol{R} \boldsymbol{T}_{\boldsymbol{b}}^{2}}{\boldsymbol{\Delta} \boldsymbol{H}_{\boldsymbol{v a p}}}\right]\left[\frac{\boldsymbol{M}_{\mathbf{1}}}{\mathbf{1}+\boldsymbol{m} \boldsymbol{M}_{\mathbf{1}}}\right], \) where
\( M_{1} \) is molar mass of solvent and \( \Delta \boldsymbol{H}_{\boldsymbol{v} \boldsymbol{a} \boldsymbol{p}} \)
is heat of vaporisation of solvent. For a dilute solution, the relation \( \left(\frac{\partial T_{b}}{\partial m}\right)_{m \rightarrow 0} \)
gives:
A. molal ebullioscopic constant
B. elevation in boiling point
C. elevation in boiling point \( \partial T_{b} \) becomes more predominant
D. boiling point of solvent
Subject: Physics
A train of \( 150 \mathrm{m} \) length is going towards
north direction at a speed of \( 10 \mathrm{ms}^{-1} . \mathrm{A} \)
parrot flies at a speed of \( 5 m s^{-1} \) towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to:
A . 12
B. 8 s
\( c \cdot 15 s \)
D. 10 s
Subject: Maths
The equation of the circle passing through (4,5) having the centre at (2,2) is
A \( \cdot x^{2}+y^{2}+4 x+4 y-5=0 \)
B . \( x^{2}+y^{2}-4 x-4 y-5=0 \)
c. \( x^{2}+y^{2}-4 x=13 \)
D. \( x^{2}+y^{2}-4 x-4 y+5=0 \)
Subject: Physics
A solenoid of \( 0.4 m \) length with 500
turns carries a current of \( 3 A . \) A coil of
10 turns and of radius \( 0.01 m \) carries a
current of \( 0.4 A . \) The torque required to hold the coil with its axis at right angles to that of solenoid in the middle point of
it is:
A \( \cdot 6 \pi^{2} \times 10^{-7} N m \)
В. \( 3 \pi^{2} \times 10^{-7} N m \)
\( \mathbf{c} \cdot 9 \pi^{2} \times 10^{-7} N m \)
D. \( 12 \pi^{2} \times 10^{-7} N m \)
Subject: Physics
A bulb of \( 2.5 V, \) draws a current of \( 0.5 A \) If the bulb is switched on for 2 minutes,
calculate the energy released by the
bulb.
A . \( 1.25 . J \)
в. \( 260 J \)
c. \( 5 . J \)
D. \( 150 J \)
Subject: Chemistry
In a mixture, \( ^{\prime} A^{\prime} \) and ' \( B^{\prime} \) components
show the negative deviations as:
\( \mathbf{A} \cdot \triangle V_{\operatorname{mix}}>0 \)
\( \mathbf{B} \cdot \triangle V_{\operatorname{mix}}<0 \)
C. \( A \) - \( B \) interaction is weaker than \( A-A \) and \( B-B \)
interactions
D. None of the above reasons is correct
Subject: Physics
A vertical pencil of rays comes from bottom of a tank filled with a liquid. When it is accelerated with an
acceleration of \( 7.5 \mathrm{m} / \mathrm{s}^{2}, \) the ray is seen
to be totally reflected by liquid surface. What is minimum possible refractive index of liquid?
A. slightly greater than \( 4 / 3 \)
B. slightly greater than \( 5 / 3 \)
c. slightly greater than 1.5
D. slightly greater than 1.75
Subject: Physics
An electric dipole consists of charges
\( \pm 2.0 \times 10^{-8} C \) separated by a distance
of \( 2.0 \times 10^{-3} m \). It is placed near a
long line charge of linear charge density \( 4.0 \times 10^{-4} C \quad m^{-1} \) as shown in the
figure, such that the negative charge is
at a distance of \( 2.0 \mathrm{cm} \) from the line
charge. The force acting on the dipole
will be
A. \( 7.2 N \) towards the line charge
B. \( 6.6 N \) away from the line charge
c. \( 0.6 N \) away from the line charge
D. \( 0.6 N \) towards the line charge
Subject: Maths
\( \bar{a}=x \hat{i}+y \hat{j}+z \hat{k}, \bar{b}=\hat{j} \) then the vector
\( \bar{c} \) for which \( \bar{a}, \bar{b}, \bar{c} \) form a right hand triad
A \( . x(\hat{i}-\hat{k}) \)
B. 0
\( \mathbf{c} .-z \hat{i}+x \hat{k} \)
D. \( y \hat{j} \)
Subject: Chemistry
Out of the elements marked \( A, B, C, D, E \)
\( \mathrm{F}, \mathrm{G} \) and \( \mathrm{H} \) which form superoxides?
This question has multiple correct options
\( A \cdot A \)
B. B
\( c . c \)
\( D \cdot D \)
E.
\( F . F \)
\( G \)
Subject: Physics
A body is moving up on inclined plane of angle \( \theta \) with an initial kinetic energy \( E \)
The coefficient of friction between the
plane and the body is \( \mu . \) The work done
against friction before the body comes
to rest is:
A \( \cdot \frac{E \cos \theta}{\mu \cos \theta+\sin \theta} \)
B. \( 2 \mu E \cos \theta \)
c. \( \frac{\mu E \cos \theta}{\mu \cos \theta-\sin \theta} \)
D. \( \frac{\mu E \cos \theta}{\mu \cos \theta+\sin \theta} \)
Subject: Chemistry
\( \boldsymbol{A} \rightarrow \boldsymbol{B} \)
The reaction rate for the above reaction
is:
\( ^{\mathbf{A}} \cdot \frac{d[A]}{d t} \)
в. \( -\frac{d[B]}{d t} \)
c. \( -\frac{d t}{d[A]} \)
D. \( -\frac{d[A B]}{d t} \)
Subject: Chemistry
Assertion
The mobility of \( N a^{\oplus} \) is lower than that
of \( \boldsymbol{K}^{\oplus} \) ion
Reason
The ionic mobility depends upon the effective radius of the ion.
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: Maths
The foci of the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1 \) and the hyperbola \( \frac{x^{2}}{144}-\frac{y^{2}}{81}=\frac{1}{25} \) coincide
then the value of \( b^{2} \) is:
A . 5
B. 7
c. 9
D. 4
Subject: Physics
If a point lies at a distance \( ^{\prime} x^{\prime} \) from the
mid point of the dipole along its axis, the electric potential at this point is proportional to :
A \( \cdot \frac{1}{x^{2}} \)
B. \( \frac{1}{x^{3}} \)
c. \( \frac{1}{x^{4}} \)
D. \( \frac{1}{x^{3 / 2}} \)
Subject: Maths
A swimming pool is \( 24 \mathrm{m} \) long and \( 15 \mathrm{m} \) broad When a number of men dive into
the bath the height of water rises by 1
\( \mathrm{cm} \) If the average volume of water displaced by each man be \( 0.1 m^{3} \) how
many men are there in the bath?
\( A \cdot 32 \)
B. 36
c. 42
D. 46