AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Butyne on oxidation with hot alkaline
\( K M n O_{4} \) gives:
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C O O H \)
в. \( C H_{3} C H_{2} C O O H \)
\( \mathrm{c} \cdot \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COOH}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{2} C H_{2} C O O H+H C O O H \)
Subject: Physics
A person walks up a stalled escalator in
\( \mathbf{9 0} \)
s. when standing on the same escalator, now moving, he is carried in
\( 60 s . \) The time he would take to walk up
the moving escalator will be
A \( .27 s \)
в. \( 72 s \)
\( c \cdot 18 s \)
D. \( 36 s \)
Subject: Chemistry
Which one of the following is Zeise's
salt?
\( A \)
\( \left[\left(C_{2} H_{2}\right)_{2} F e\right] \)
в. \( \left(P h_{3} P\right)_{3} \) Rh\( C l \)
c. \( \left[\left(C_{6} H_{6}\right)_{2} C r\right] \)
D \( \cdot K\left[P t C l_{3} . C_{2} H_{4}\right] \)
Subject: Physics
A ball of mass \( 0.2 k g \) is thrown against
the wall, the ball strikes the wall
normally with velocity of \( 30 m / s \) sand rebounds with velocity of \( 20 m / s \) Calculate the impulse of the force exerted by the ball on the wall
A . \( 2 N \)
в. \( -10 N \)
\( c .20 N \)
D. \( 40 N \)
Subject: Physics
If \( \hat{i}, \hat{j} \) and \( \widehat{k} \) are unit vectors along \( \mathbf{x}, \mathbf{y} \) and z axes respectively. the angle \( \theta \) between the vector \( \hat{\mathbf{i}}+\widehat{\mathbf{j}}+\widehat{\boldsymbol{k}} \) and vector
\( \widehat{\boldsymbol{i}} \)
A \( \cdot \theta=\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
В \( \cdot \theta=\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
C \( \cdot \theta=\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
D. \( \theta=\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right) \)
Subject: Physics
\begin{tabular}{|c|c|}
\hline 0 \\
\( -5 \mathrm{V} \) \\
\hline
\end{tabular}
\( 5 \mathrm{V} \)
0
0
\( -10 \mathrm{V} \)
\( 10 \mathrm{V} \)
\( \log _{10} 10 \)
Subject: Physics
A particle is projected at an angle of \( 45^{\circ} \)
from \( 8 m \) before the foot of a wall,just
touches the top of the wall and falls on the ground on the opposite side at a distance \( 4 m \) from it. The height of wall is:
A \( \frac{2}{3} m \)
в. \( \frac{4}{3} m \)
c. \( \frac{8}{3} m \)
D. \( \frac{3}{4} m \)
Subject: Physics
The focal length of the objective of an
astronomical telescope is \( 1 \mathrm{m} \) and it is
in normal adjustment.Initially the telescope is focussed to a heavenly
body. If the same telescope is to be
focussed to an object at a distance of 21 \( \mathrm{m} \) from the objective,then identify the
correct choice
A. eye piece should be displaced by \( 2 \mathrm{cm} \) away from the objective
B. eye piece should be displaced by \( 2 \mathrm{cm} \) towards the objective
C. eye piece should be displaced by \( 5 \mathrm{cm} \) towards the objective
D. eye piece should be displaced by \( 5 \mathrm{cm} \) away from the objective
Subject: Maths
Find the sum to 90 terms of the series
\( \mathbf{5}+\mathbf{5 5}+\mathbf{5 5 5}+\cdots \cdots \)
A \( \frac{50}{81}\left[10^{90}-82\right] \)
в. \( \frac{50}{81}\left[10^{90}-83\right] \)
c. \( \frac{50}{81}\left[10^{90}-80\right] \)
D. \( \frac{50}{81}\left[10^{90}-90\right] \)
Subject: Maths
The solution set of \( |\boldsymbol{3}-\boldsymbol{x}|=\boldsymbol{a} \) is?
A \( \cdot\{3-a, 3+a\} \) for \( a \geq 0 \) and \( \phi \) for \( a<0 \)
В. \( [3-a, 3+a] \)
\( c \cdot \phi \)
D. None of these
Subject: Physics
For a process given by \( \boldsymbol{P}=\frac{\boldsymbol{C}}{\boldsymbol{V}}, \) where \( \mathbf{C} \)
is a constant, the work done by the ideal
gas when the volume changes form \( V_{1} \)
to \( V_{2} \) is
\( ^{\mathrm{A}} \cdot_{R T \ln }\left(\frac{V_{2}}{V_{1}}\right) \)
B . \( P\left(V_{2}-V_{1}\right) \)
\( ^{\mathbf{c}} \cdot_{R T \ln }\left(\frac{V_{1}}{V_{2}}\right) \)
D. \( P\left(V_{1}-V_{2}\right) \)
Subject: Physics
Robin wants to shove rubber pipe up a plastic tap. The problem is that the pipe's diameter is smaller than that
required to secure a tight fit. So Robin switches on a half-dryer on and pointed it towards the pipe. He found that now the pipe fitted in easily. Why is this so?
A. The pipe expanded due to the hot air, and then contracted back again
B. the tap got deformed because of the hot air
c. The hot air caused adhesion between rubber and plastic.
D. none of the above
Subject: Physics
A heat engine takes in \( 700 J \) of heat
from high-temperaturere reservoir and rejects \( 500 J \) of heat to a lower
temperature reservoir. How much work does the engine do in each cycle?
\( \mathbf{A} \cdot 100 J \)
в. 20 \( J \)
c. \( 200 J \)
D. \( 10 J \)
Subject: Physics
Which of the following is incorrect relation fot a perfect gas?
A. \( \quad\left(\frac{\delta U}{d V}\right)_{T}=0 \)
в. \( \quad\left(\frac{^{\frac{0}{0} H}{\delta P}}\right)_{T}=0 \)
\( \begin{array}{ll}\text { c. } & \left(\frac{\delta T}{\delta P}\right)_{H}=0\end{array} \)
D. \( \quad\left(\frac{\tilde{\sigma} U}{\delta T}\right)_{V}=0 \)
Subject: Biology
In eukaryotic cell cycle, cell fusion
experiments show that
A. When an S phase cell is fused with a G_phase cell, \( G_{1} \)
phase cell is stimulated to synthesize DNA
B. When an S phase cell is fused with a Ga phase cell, DNA
synthesis is induced in \( \mathrm{G}_{2} \) phase cell
C. When a Gi phase cell is fused with a Ga phase cell, DNA
synthesis is induced in both \( \mathrm{G}_{1} \) and \( \mathrm{G}_{2} \) phase cells
D. When a Gi phase cell is fused with an M phase
cell both \( \mathrm{G}_{1} \) and \( \mathrm{M} \) phase cells are stimulated to synthesise DNA
Subject: Physics
Two identical metal balls \( A \) and \( B \)
moving in opposite directions with different speeds hit each other at point \( X \) as shown in the figure. Changes will most likely appear in their
1. Shapes
2. Speeds
3. Directions
4. Volumes
A . 1 and 3
B. 2 and 3
\( c \cdot 2 \) and 4
D. 1,2 and 3
Subject: Maths
f \( x, y, z \) are three real numbers of the
same sign, then the value of \( \left(\frac{x}{y}+\frac{y}{z}+\frac{z}{x}\right) \) lies in the interval
A. \( [2, \infty) \)
(n)
B. \( [3, \infty) \)
\( c \cdot(3, \infty) \)
D. \( (-\infty, 3) \)
Subject: Chemistry
A keto ester (X) with molecular formula
\( C_{6} H_{10} O_{3} \) on treatment with \( \mathrm{NaOH} \) and
\( I_{2} \) does not give iodoform but on boiling with dilute KOH gives a compound (Y)
with molecular formula \( C_{4} H_{5} O_{3} K \) which upon acidification followed by heating undergoes decarboxylation to give acetone. The keto ester (X) is?
A. \( C H_{3} C O C H_{2} C H_{2} C O O C H_{3} \)
в. \( C H_{3} C O C H_{2} C O O C_{2} H_{5} \)
c. \( C H_{3} C H_{2} O C H_{2} \) СООСН\( _{3} \)
D. \( C H_{3} C O C H\left(C H_{3}\right) C O O C H_{3} \)
Subject: Maths
The G.M. of the numbers \( a+\sqrt{a^{2}-b^{2}} \)
and \( a-\sqrt{a^{2}-b^{2}}, \) is
\( A \)
B. \( b \)
\( c \cdot a b \)
D. \( \sqrt{a^{2}+b^{2}} \)
Subject: Physics
The initial and final temperatures of a
liquid are measured to be \( 67.7+0.2^{0} C \)
and \( 76.3+0.3^{0} C \)
Calculate the rise in temperature with error limits.
A \( \cdot 8.6 \pm 0.5^{\circ} \mathrm{C} \)
B \( .9 \pm 0.5^{0} C \)
\( \mathbf{c} \cdot 16 \pm 0.5^{0} C \)
D. \( 2.6 \pm 0.5^{\circ} \mathrm{C} \)
Subject: Physics
The conducting sphere of radii \( r_{1} \) and \( r_{2} \) are at the same potential. What is the ratio of their charges?
B . \( r_{2}: r_{1} \)
C \( \cdot r_{1}^{2}: r_{2}^{2} \)
D \( \cdot r_{2}^{2}: r_{1}^{2} \)
Subject: Physics
A block of wood is kept on table top. The mass of wooden block is \( 5 \mathrm{kg} \) and its dimensions are \( 40 \mathrm{cm} \times 20 \mathrm{cm} \times 10 \mathrm{cm} \)
Find the pressure exerted by the wooden block on the table top, if it is made to lie on the table top with its sides of
dimensions
(a) \( 20 c m \times 10 c m \) and
\( 40 \mathrm{cm} \times 20 \mathrm{cm} \)
B . (a) \( P=2450 \mathrm{Nm}^{-2} \) (b) \( P=612.5 \mathrm{Nm}^{-2} \)
c. (a) \( P=2460 N m^{-2} \) (b) \( P=618.5 N m^{-2} \)
Subject: Physics
In case \( A, \) when an 80 kg skydiver falls with arms and legs fully extended to maximize his surface area, his terminal velocity is \( 60 \mathrm{m} / \mathrm{s} \). In Case \( B \), when the
same skydiver falls with arms and legs pulled in and body angled downward to minimize his surface area, his terminal velocity increases to \( 80 \mathrm{m} / \mathrm{s} \). In going from Case A to Case B, which of the
following statements most accurately describes what the skydiver experiences?
A \( \cdot F_{\text {air ressitanne }} \) increases and pressure \( P \) increases
B. \( F \) aireesisance increases and pressure \( P \) decreases
c. \( F_{\text {ir resistance decreases and pressure } P \text { increases }} \)
D. \( F_{\text {air easitance remains the same and pressure }} P \) increases
Subject: Physics
An ac voltage is applied to a resistance \( \mathrm{R} \) and an inductor \( \mathrm{L} \) in series. If \( \mathrm{R} \) and
the inductive reactance are both equal
to \( 3 \Omega, \) the phase difference between the
applied voltage and the current in the circuit is:
A. zero
в.
\( c \cdot \frac{\pi}{4} \)
D. \( \frac{\pi}{2} \)
Subject: Chemistry
Select the correct I.U.P.A.C name for
\( \boldsymbol{F} \boldsymbol{e}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right]_{3}: \)
A. Iron
(III) hexacyanidoferrate (II)
B. Iron
(III) hexacyanidoferrate (III)
\( c . \) Iron
(III) hexacyanidoiron (III)
D. Iron
(II) hexacyanidoiron (II)
Subject: Physics
A uniform bar of length \( 6 a \) and mass \( 8 m \) lies on a smooth horizontal table
Two point masses \( m \) and \( 2 m \) moving in opposite direction in the same
horizontal plane with speed \( 2 v \) and \( v \)
respectively. strike the bar and stick to
the bar after the collision. Calculate:
The angular velocity of the centre of mass after collision.
Subject: Chemistry
In a system where \( \Delta \boldsymbol{E}=-\mathbf{5 1 . 0} \mathrm{kJ}, \) a
piston expanded against a \( P_{e x t} \) of 1.2 atm giving a change in volume of \( 32.0 \mathrm{L} \) what was the change in heat of this
system?
A. -36 k) J.
B. -13 k.
c. -47 k
D. 24 kJ
Subject: Chemistry
The oxidation state of \( S \) in \( N a_{2} S_{4} O_{6} \) is:
A . +2.5
B. +2 and +3 (two \( S \) have +2 and two \( S \) have +3 )
\( \mathrm{c} \cdot+2 \) and +3 (three \( S \) have +2 and one \( S \) has +3
D. +5 and 0 (two \( S \) have +5 and the other two \( S \) have 0 )
Subject: Chemistry
The compound \( N H_{3}-B F_{3} \) can be
easily separated into its compounds because
\( \mathbf{A} \cdot B F_{3} \) is highly reactive
B. \( N H_{3} \) is highly reactive
C. \( B F_{3} \) and \( N H_{3} \) are unstable
D. \( B F_{3} \) and \( N H_{3} \) have their independent existence
Subject: Chemistry
A free nucleus of mass 24 amu emits a
gamma photon (when initially at rest). The energy of the photon is 7 MeV. The recoil energy of the nucleus in KeV is:
(Assuming 1 amu \( =931 \) MeV )
A . 2.2
B. 1.
c. \( 3 . \)
D. 22
Subject: Physics
The acceleration of a particle as a
function of time \( t \) is given as \( a=k . t^{5 / 2} \)
If initial speed of the particle \( (a t t=0) \)
is \( u \) then its velocity \( v \) as a function of
time \( t \) is given as :
A \( \cdot v=u+\frac{2}{5} k t^{5 / 2} \)
B. \( v=u+\frac{2}{7} k t^{7 / 2} \)
c. \( v=u+k t^{5 / 2} \)
D. \( v=u+k t^{7 / 2} \)
Subject: Maths
The marks distribution of 30 students
in a mathematics examination are as
follows:
Class-
\[
\begin{array}{lll}
\text { interval } & \mathbf{1 0}- & \mathbf{2 5}- \\
\text { of } & \mathbf{2 5} & \mathbf{4 0}
\end{array}
\]
marks
Number of
students
Find the mean by assume mean method and find also the mode of given data.
Subject: Physics
If all the atoms of \( 1 k g \) of deuterium undergo fusion approximately how much energy could be released?
A \( .7 .87 \times 10^{13} \mathrm{J} \)
B . \( 9 \times 10^{11} \) calories
c. \( 9 \times 10^{12} k W h \)
D. \( 79 \times 10^{7} k W h \)
Subject: Maths
Evaluate \( \frac{d}{d x} 3^{\log _{3} \sqrt{x}}=\dots \dots \dots \)
\( A \cdot \frac{1}{\sqrt{x}} \)
B. \( \sqrt{x} \)
c. \( \frac{1}{2 \sqrt{x}} \)
D. \( -\frac{1}{\sqrt{x}} \)
Subject: Maths
Consider the piecewise defined
\[
\text { function }\left\{\begin{array}{ll}
\sqrt{-x}, & \text { if } x<0 \\
0, & \text { if } 0 \leq x \leq 4 . \text { Choose } \\
x-4, & \text { if } x>4
\end{array}\right.
\]
the answer which best describes the
continuity of this function-
A. the function is unbounded and therefore cannot be continuous
B. the function is right continuous at \( x=0 \)
c. the function has a removable discontinuity at 0 and 4 but is continuous on the rest of the real line
D. the function is continuous on the entire real line
Subject: Maths
\( f(\alpha, \beta, \gamma \) are three real numbers and
\( \boldsymbol{A}= \)
\( \left[\begin{array}{ccc}\mathbf{1} & \cos (\boldsymbol{\alpha}-\boldsymbol{\beta}) & \cos (\boldsymbol{\alpha}-\gamma) \\ \cos (\boldsymbol{\beta}-\boldsymbol{\alpha}) & \mathbf{1} & \cos (\boldsymbol{\beta}-\gamma) \\ \cos (\gamma-\boldsymbol{\alpha}) & \cos (\gamma-\boldsymbol{\beta}) & \mathbf{1}\end{array}\right] \)
then
This question has multiple correct options
A. \( A \) is symmetric
B. \( A \) is orthogona
c. \( A \) is singular
D. \( A \) is not invertible
Subject: Chemistry
The correct formula of salt formed by
the neutralization hypophosphorous acid with \( N a O H \) is:
A. \( N a_{3} P O_{2} \)
B \( . N a_{3} P O_{3} \)
c. \( N a H_{2} P O_{2} \)
D. \( N a_{2} H P O_{4} \)
Subject: Maths
Find the value of \( x: \)
\( \boldsymbol{x}^{2}+\boldsymbol{p}^{2}=(\boldsymbol{q}-\boldsymbol{x})^{2} \)
\( ^{\mathbf{A}} \cdot \frac{q^{2}-p^{2}}{2 q} \)
в. \( \frac{q^{2}-p^{2}}{2} \)
\( ^{\mathrm{C}} \cdot \frac{q^{2}-p^{2}}{2 p} \)
D. \( \frac{p^{2}-q^{2}}{2 p} \)
Subject: Chemistry
The molar conductivity of acetic acid at
infinite dilution is 390.7 and for \( 0.1 \mathrm{M} \)
acetic acid solution is \( 5.2 \mathrm{mhocm}^{2} \) mol
\( -1 . \) The degree of dissociation of \( 0.1 \mathrm{M} \)
\( \mathrm{CH}_{3} \mathrm{COOH} \) solution is:
A . \( 13.3 \% \)
B. 0.0133\%
c. 1.33\%
D. 133\%
Subject: Biology
Identify the wrong pair of statements
I.During plant succession some species colonise an area and populations becomes more numerous whereas
populations of other species decline and even disappear II.Both hydrarch and xerarch successions lead to mesic conditions
III. Secondary succession is a slow process as compared to primary succession
IV.In successive seral stages there is no change in the diversity of species of organisms
A . ॥ , ॥ ॥
в. ।, ॥
c. ॥॥ , । v
D. 1, Il
Subject: Biology
BOD refers to
A. The amount of oxygen consumed if all the organic matter in \( 1000 \mathrm{ml} \) of water were oxidized by bacteria
B. The amount of oxygen released when all the organic matter was consumed by bacteria in 1 litre of water
C. The oxygen required for bacteria to grow in 1 litre of effluent
D. The amount of oxygen released if all the organic matter in \( 1000 \mathrm{ml} \) of water were oxidized by bacteria
Subject: Maths
Prove that \( \mid \begin{array}{ccc}b c-a^{2} & c a-b^{2} & a b \\ -b c+c a+a b & b c-c a+a b & b c+c \\ (a+b)(a+c) & (b+c)(b+a) & (c+a\end{array} \)
\( \mathbf{3} \cdot(\boldsymbol{b}-\boldsymbol{c})(\boldsymbol{c}-\boldsymbol{a})(\boldsymbol{a}-\boldsymbol{b})(\boldsymbol{a}+\boldsymbol{b}+ \)
\( c(a b+b c+c a) \)
Subject: Chemistry
\( \lambda^{\infty} \) of \( N H_{4} O H \) at infinite dilution is
\( \boldsymbol{S} \boldsymbol{c m}^{2} \boldsymbol{m o l}^{-1} \operatorname{given} \boldsymbol{\lambda}^{\infty} \boldsymbol{o f} \)
\( O H^{-}=174, \lambda^{\infty} \) if \( C l^{-}=66 \) and \( \lambda^{\infty} \) of
\( N H_{4} C l=130 S c m^{2} m o l^{-1} \)
A . 140
в. 218
c. 238
D. 198
Subject: Maths
The three vertices of a parallelogram \( A B C D, \) taken in order are \( A(1,-2) \)
\( B(3,6) \) and \( C(5,10) . \) Find
the coordinates of the fourth vertex D.
A. \( D(3,2) \)
в. \( D(-3,2) \)
c. \( D(3,-2) \)
D. \( D(3,3) \)
Subject: Physics
A minute spherical air bubble is rising slowly through a column of mercury contained in a deep jar. If the radius of the bubble at a depth of \( 100 \mathrm{cm} \) is 0.1
\( \mathrm{mm}, \) calculate its depth where its radius is \( 0.126 \mathrm{mm} \) given that the surface tension of mercury is 567 dyne/cm. Assume that the atmospheric pressure is \( 76 \mathrm{cm} \) of mercury
A \( \cdot h_{2}=9.48 \mathrm{cm} \)
В . \( h_{2}=18.48 \mathrm{cm} \)
\( \mathbf{c} \cdot h_{2}=9.48 \mathrm{m} \)
D. \( h_{2}=19.48 \mathrm{cm} \)
Subject: Chemistry
\( \boldsymbol{A}+\boldsymbol{B} \leftrightharpoons \boldsymbol{C}+\boldsymbol{D}, \boldsymbol{K}_{c} \) for this
reaction is \( 10 . \) If 1,2,3,4 mole/litre of \( A, B, C \) and \( D \) respectively are present
in a container at \( 25^{\circ} \mathrm{C} \), the direction of
reaction will be:
A. from left to right
B. from right to left
c. reaction is at equilibrium
D. unpredictable
Subject: Chemistry
Which of the following conclusions are
made on methane in natural
environment?
A. Methane is produced by methanogenesis in anoxic environment
B. The concentration of methane is 0.1 to \( 1.0 \mu M \) for surface waters of lake
C. Methane produce in sediment bubbles and diffuses into the water column and is lost to the atmosphere, except during winter months
D. All of the above
Subject: Physics
A straight wire carrying a current \( i_{1} \)
amp runs along the axis of a circular
current \( i_{2} \) amp. Then the force of
interaction between the two current
carrying conductors is?
\( A \cdot \infty \)
B. zero
c. \( \frac{\mu_{0}}{4 \pi} \frac{2 i_{1} i_{2}}{r} \mathrm{N} / \mathrm{m} \)
D. \( \frac{2 i_{1} i_{2}}{r} \mathrm{N} / \mathrm{m} \)
Subject: Chemistry
Determine the osmotic pressure of a solution a solution prepared by
dissolving \( 2.5 \times 10^{-2} g \) of \( K_{2} S O_{4} \) in \( 2 L \)
of water at \( 25^{0} C \), assuming that it is completely dissociated \( \left(R=0.0821 L \text { at } m K^{-1} m o l^{-1}, \) Molar \right.
mass of \( K_{2} S O_{4}=174 g m o l^{-1} \)
Subject: Physics
Assertion
Fahrenheit is the smallest unit
measuring temperature.
Reason
Fahrenheit was the first temperature
scale used for measuring temperature.
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. Reason is correct but Assertion is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
The \( p H \) of three solutions \( A, B, C \) is 6 4, 8 receptivity which of the following is the correct option?
A. \( A>B>C \) decreasing acidic strength
B. \( C>B>A \) increasing acidic strength
c. \( B>A>C \) is decreasing acidic strength
D. \( C>B>A \) decreasing acidic strength
Subject: Chemistry
What is \( \left[\boldsymbol{H}^{+}\right] \) in mol/L of a solution that
is \( 0.20 \mathrm{M} \) in \( C H_{3} C O O N a \) and \( 0.10 \mathrm{M} \) in
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} ? \)
\( \boldsymbol{K}_{a} \) for \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O H}=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{5}} \)
A \( .3 .5 \times 10^{-4} \)
В. \( 1.1 \times 10^{-5} \)
c. \( 1.8 \times 10^{-5} \)
D. \( 9.0 \times 10^{-6} \)
Subject: Biology
Which one correctly determines the
\( \operatorname{sex} ? \)
A. \( x 0 \) condition in Turner's syndrome determines female \( \operatorname{sex} \)
B. Homozygous XX produce male in Drosophila
C. Homozygous zz determine female sex in birds
D. \( \times 0 \) determines male sex in Grasshopper
Subject: Physics
Assertion
Smaller drops of liquid resist deforming forces better than the larger drops.
Reason

Excess pressure inside a drop is directly proportional to surface area.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
Energy required for the electron
excitation in \( \mathrm{Li}^{+} \) from the first to the
third Bohr orbit is
A. \( 12.1 \mathrm{eV} \)
B. 36.3 eV
c. \( 108.8 \mathrm{eV} \)
D. \( 122.4 \mathrm{eV} \)
Subject: Maths
The direction cosines of a line whose
equations are \( \frac{x-1}{2}=\frac{y+3}{4}=\frac{z-2}{-3} \)
A \( \cdot \frac{1}{\sqrt{14}}, \frac{-3}{\sqrt{14}}, \frac{2}{\sqrt{14}} \)
В \( \cdot \frac{2}{\sqrt{29}}, \frac{4}{\sqrt{29}}, \frac{-3}{\sqrt{29}} \)
c. \( \frac{1}{\sqrt{29}}, \frac{-3}{\sqrt{29}}, \frac{2}{\sqrt{29}} \)
D. 2,4,-3
Subject: Maths
\( \int e^{e^{x}+x} d x= \)
A \( \cdot e^{e^{x}}+x+c \)
B . \( e^{e^{x}}+c \)
\( \mathbf{c} \cdot e^{x}+c \)
\( \mathbf{D} \cdot e^{x}+x+c \)
Subject: Maths
The general solution of the differentia equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x}+\boldsymbol{y}+\mathbf{1}}{\mathbf{2} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\mathbf{1}} \) is:
A \( \cdot \log _{e}|3 x+3 y+2|+3 x+6 y=C \)
B . \( \log _{e}|3 x+3 y+2|-3 x+6 y=C \)
\( \mathbf{c} \cdot \log _{e}|3 x+3 y+2|-3 x-6 y=C \)
D \( \cdot \log _{e}|3 x+3 y+2|+3 x-6 y=C \)
Subject: Maths
Consider the following diagram where
\( A B \) and \( C D \) are congruent arcs and
chords. The measure of \( \angle A O B=50^{\circ} \)
Then the value of \( \angle C O D=? \)
A \( .45^{\circ} \)
В. \( 50^{\circ} \)
\( c \cdot 56^{\circ} \)
D. \( 90^{\circ} \)
Subject: Maths
Find the distance of the point \( \boldsymbol{P}(\boldsymbol{3}, \boldsymbol{4}, \boldsymbol{4},) \)
from the point, where the line joining
the points \( \boldsymbol{A}(\boldsymbol{3},-\boldsymbol{4},-\boldsymbol{5}) \) and \( \boldsymbol{B}(\boldsymbol{2},-\boldsymbol{3}, \boldsymbol{1}) \)
intersected the plane \( 2 x+y+z=7 \)
Subject: Chemistry
Assertion (A):In Lyman series of Hspectra, the maximum wavelength of
lines is \( 121.56 \mathrm{nm} \)
Reason (R): Wavelength is maximum when the transition is from the very
next level.
A. Both A and R are true and R is the true explanation of
B. Both A and R are true, but R is not the correct explanation of A
c. A is true, but R is false
D. R is true, but A is false
Subject: Physics
If it is known that a dimensionless
number significant in heat energy diffusion in case of convective heat transfer is given by \( \frac{A^{a} B}{C} \) then the value
of a is, (dimension of \( \boldsymbol{A}=\boldsymbol{M} \boldsymbol{L}^{2} \boldsymbol{T}^{-2} \boldsymbol{K}^{-1} \)
\( \left.B=L^{-1} T^{-1}, C=M L^{1} T^{-3} K^{-1}\right) \)
A . -
B. 2
\( c \)
\( D \cdot-2 \)
Subject: Physics
If \( L, C \) and \( R \) represent inductance, capacitance and resistance respectively, than which of the following
does not represent dimensions of frequency?
\( ^{A} \cdot \frac{1}{R C} \)
в. \( \frac{R}{L} \)
c. \( \frac{1}{\sqrt{L C}} \)
D. \( \frac{c}{L} \)
Subject: Maths
Suppose \( U= \)
\( \{3,4,5,6,7,8,9,10,11,12,13\}, A= \)
\( \{3,4,5,6,9\}, B=\{3,7,9,5\} \) and \( C= \)
\( \{6,8,10,12,7\} . \) Write down the
following set and draw Venn diagram
for:
\( \boldsymbol{A}^{\prime} \)
Subject: Maths
In a test an examinee either guesses or copies or knows the answer to a
multiple choice question with 4 choices. The probability that he makes a guess is \( \frac{1}{3} \) and the probability that he copies the answer is \( \frac{1}{6} . \) The probability
that his answer is correct given that he copied it, is \( \frac{1}{8} . \) Find the probability that he knew the answer to the question
given that he correctly answered it.
A \( \cdot \frac{11}{29} \)
B. \( \frac{18}{29} \)
c. \( \frac{15}{29} \)
D. \( \frac{24}{29} \)