AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion : Pyrethrum is collected from th
e leaves of Chrysanthemum cinerarifolium.
Reason

Pyrethrin is prepared from pyrethrum.
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a 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
E. If the assertion is false but reason is true
Subject: Physics
A man throws the brick to the height of 12 \( \mathrm{m} \) where they reach with a speed of 12 \( \mathrm{m} / \mathrm{s} . \) If he throws the bricks such that
theyjust reach this height, then what percentage of energy will be save?
A . 19\%
в. 38\%
c. 57\%
D. 76\%
Subject: Maths
\( [\mathrm{AS} 1] \) If \( \boldsymbol{A}=\frac{1}{3} \boldsymbol{B} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{B}=\frac{1}{2} \boldsymbol{C}, \) then \( \boldsymbol{A} \)
\( B: C= \)
A .1: 3: 6
B. 2:3:6
\( c \cdot 3: 2: 6 \)
D. 3: 1: 2
Subject: Biology
Identify the given figures of algae and
select the correct option.
A. (A) - Fucus, (B) - Polysiphonia
B. (A) - Dictyota, (B) - Polysiphonia
C. (A) - Dictyota,(B) - Porphyra
D. (A) - Porphyra, (B) - Polysiphonia
Subject: Physics
Far point of a person is \( 5 m . \) In order that he has normal vision what kind of
spectacles should be use
A. Concave lens with focal length \( 5 m \)
B. Concave lens with focal length \( 10 \mathrm{m} \)
c. convex lens with focal length \( 5 m \)
D. Convex lens with focal length \( -2.5 \mathrm{m} \)
Subject: Maths
Express in Degrees:
\( (a)\left(\frac{2 \pi}{15}\right)^{c} \)
\( (b)(-2)^{c} \)
A \( \cdot(a) 14^{\circ} \)
\( (b) 244^{\circ} 32^{\prime} 44^{\prime \prime} \)
B . \( (a) 74^{\circ} \)
\( (b)-114^{\circ} 32^{\prime} 44^{\prime \prime} \)
c. \( (a) 14^{\circ} \)
\( (b)-120^{\circ} 32^{\prime} 44^{\prime \prime} \)
D \cdot \( (a) 24^{\circ} \)
\( (b)-114^{\circ} 32^{\prime} 44^{\prime \prime} \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) of the following implicit
functions \( : \boldsymbol{y}^{3}-\boldsymbol{3} \boldsymbol{y}^{2} \boldsymbol{x}=\boldsymbol{x}^{3}+\boldsymbol{3} \boldsymbol{x}^{2} \boldsymbol{y} \)
Subject: Chemistry
Colemanite is
\( \mathbf{A} \cdot N a_{2} B_{4} O_{7} \cdot 10 H_{2} O \)
B \( \cdot C a_{2} B_{6} O_{11} \cdot 5 H_{2} O \)
\( \mathbf{c} \cdot N a B O_{2} \)
\( \mathbf{D} \cdot H_{3} B O_{3} \)
Subject: Chemistry
The two equilibrium \( \boldsymbol{A B} \leftrightharpoons \boldsymbol{A}^{+}+\boldsymbol{B}^{-} \)
and \( A B+B^{-} \leftrightharpoons A B_{2}^{-} \) are
simultaneously maintained in a
solution with equilibrium constant \( \boldsymbol{K}_{\mathbf{1}} \)
and \( K_{2} \) respectively. The ratio of \( \left[A^{+}\right] \) to
\( \left[A B_{2}^{-}\right] \) in the solution is:
A. directly proportional to the concentration of \( B \)
B . inversely proportional to the concentration of \( B \)
c. directly proportional to the square of the concentration of \( B \)
D. inversely proportional to the square of the concentration of \( B \)
Subject: Maths
A force \( F=3 \hat{i}+2 \hat{j}+c \hat{j} N \) causes a displacement \( \vec{r}=c \hat{i}+4 \hat{j}+c \hat{k} m . \) The
work done is \( 36 J . \) Find the value(s) of \( c \)
A \( . c=3,7 \)
В. \( c=4,-7 \)
c. \( c=5,-7 \)
D. \( c=6,7 \)
Subject: Chemistry
Henry law constant for the solubility of methane in benzene at \( 298 \mathrm{K} \) is \( 4.27 \times \)
\( 10^{5} \mathrm{mm} \) Hg then the solubility of
methane in benzene at \( 298 \mathrm{K} \) under
760mm Hg is:
A \( \cdot 7.8 \times 10^{-2} \) mole \( / \mathrm{kg} \)
B . \( 7.8 \times 10^{-3} \) mole / kg
c. \( 7.8 \times 10^{-4} \) mole \( / \mathrm{kg} \)
D. \( 1.78 \times 10^{-3} \) mole \( / \mathrm{kg} \)
Subject: Chemistry
The first and second dissociation
constants of an acid \( \boldsymbol{H}_{2} \boldsymbol{A} \) are \( \mathbf{1 . 0} \times \)
\( 10^{-5} \) and \( 5.0 \times 10^{-10} \) respectively. The
overall dissociation constant of the acid
will be:
A \( .5 .0 \times 10^{15} \)
В. \( 5.0 \times 10^{-15} \)
c. \( 0.2 \times 10^{5} \)
D. \( 5.0 \times 10^{-5} \)
Subject: Chemistry
Which solution has the greatest percent
ionization?
\( \mathbf{A} \cdot 0.10 \mathrm{M} N H_{3}\left(K_{b}=1.8 \times 10^{-5}\right) \)
B. 0.25 M \( H N O_{2}\left(K_{1}=4.5 \times 10^{-4}\right) \)
C . 1.000 M HCOOH \( \left(K_{a}=1.7 \times 10^{-4}\right) \)
D . \( 2.000 \mathrm{M} C H_{3} N H_{2}\left(K_{b}=4.4 \times 10^{-4}\right) \)
Subject: Maths
Using the properties of determinants \& without expanding \( \left[\begin{array}{ccc}\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{q}+\boldsymbol{r} & \boldsymbol{y}+\boldsymbol{z} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{r}+\boldsymbol{p} & \boldsymbol{z}+\boldsymbol{x} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{p}+\boldsymbol{q} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right]=\boldsymbol{2}\left[\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{p} & \boldsymbol{x} \\ \boldsymbol{b} & \boldsymbol{q} & \boldsymbol{y} \\ \boldsymbol{c} & \boldsymbol{r} & \boldsymbol{z}\end{array}\right] \)
Subject: Maths
\( \int e^{x}[\log (x+\sqrt{x^{2}-1})+ \)
\( \left.\frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\cos \boldsymbol{h}^{-1} \boldsymbol{x}\right)\right] \boldsymbol{d} \boldsymbol{x}= \)
\( \mathbf{A} \cdot e^{x} \sin h^{-1} x+c \)
B . \( e^{x} \log (x+\sqrt{x^{2}+1})+c \)
\( \mathbf{c} \cdot e^{x} \cosh ^{-1} x+c \)
D. \( -e^{x} \sinh ^{-1} x+c \)
Subject: Biology
Match the following and choose the
correct combination from the options
given below.
\begin{tabular}{lll|l} 
& Column I & & Column II \\
& (Placentation Types) & & (Represented in ) \\
\hline \( \mathrm{A} \) & Basal & 1 & Dianthus \\
\hline \( \mathrm{B} \) & Free central & 2 & Pea \\
\( \mathrm{C} \) & Parietal & 3 & Lemon \\
\( \mathrm{D} \) & Axile & 4 & Marigold \\
\( \mathrm{E} \) & Marginal & 5 & Argemone
\end{tabular}
\( \mathbf{A} \)
\( A-1, B-2, C-3, D-4, E-5 \)
B. A- 2, B-3, C- 4, D-5, E-1
C. \( A-4, B-1, C-5, D-3, E-2 \)
D. \( A-4, B-3, C-5, D-1, E-2 \)
E. \( A-5, B-4, C-3, D-2, E- \)
Subject: Maths
Let \( x \) be non-empty set. \( P(x) \) be its power set. Let \( ^{*} \) be an operation defined on element of \( \boldsymbol{P}(\boldsymbol{x}) \boldsymbol{b} \boldsymbol{y}, \boldsymbol{A} * \boldsymbol{B}= \)
\( \boldsymbol{A} \cap \boldsymbol{B} \forall \boldsymbol{A}, \boldsymbol{B} \in \boldsymbol{P}(\boldsymbol{x}) . \) Then
(i) Prove that \( ^{*} \) is a binary operation in \( \boldsymbol{P}(\boldsymbol{x}) \)
(ii) is \( ^{*} \) associative?
(iii) Is \( ^{*} \) commutative?
Subject: Chemistry
Which of the following option w.r.t. increasing bond order is correct?
A \( \cdot N O<C_{2}<O_{2}^{-}<H e^{+} \)
в. \( C_{2}<N O<H e^{+}<O_{2}^{-} \)
c. \( H e^{+}<O_{2}^{-}<N O<C_{2} \)
D. \( H e^{+}<O_{2}^{-}<C_{2}<N O \)
Subject: Maths
A vertical to stands on a horizontal
plane and is surmounted by a vertical flag staff of height 6 meters. At point 0 n the \( p \) angle of elevation of the bottom and the top of the flag staff are respectively \( 30^{\prime} \) and \( 60^{*} \). Find the height of tower-
A. \( 5 \mathrm{m} \)
B. 2.5m
\( c \cdot 10 m \)
D. 7.5m
Subject: Physics
A toy rocket is launched straight up. At the exact top of its flight path, which of the following is true?
A. Its velocity and acceleration are zero
B. Its velocity is zero and acceleration is \( 9.8 \mathrm{m} / \mathrm{s}^{2} \)
C . It velocity is \( 9.8 \mathrm{m} / \mathrm{s} \) and acceleration is \( 9.8 \mathrm{m} / \mathrm{s}^{2} \)
D. It velocity is \( 9.8 m / s \) and acceleration is zero
E. It velocity is \( 9.8 \mathrm{m} / \mathrm{s} \) and displacement is \( 9.8 \mathrm{m} \)
Subject: Chemistry
Which of the following presents the correct order of the acidity in the given compounds?
A. \( F C H_{2} C O O H>C l C H_{2} C O O H>B r C H_{2} C O O H> \)
\( C H_{3} C O O H \)
в. \( C H_{3} C O O H>B r C H_{2} C O O H>C l C H_{2} C O O H> \)
\( F C H_{2} C O O H \)
c. \( F C H_{2} C O O H>C H_{3} C O O H>B r C H_{2} C O O H> \)
\( _{C l C H_{2} C O O H} \)
D. \( B r C H_{2} C O O H>C l C H_{2} C O O H>F C H_{2} C O O H> \)
\( C H_{3} C O O H \)
Subject: Physics
In an experiment with a beam balance,
an unknown mass \( m \) is balanced by two
known masses of \( 16 \mathrm{kg} \) and \( 4 \mathrm{kg} \) as
shown in fig. Find \( \boldsymbol{m} \)
A . \( 10 \mathrm{kg} \)
B. \( 6 k g \)
\( c .8 k g \)
D. \( 12 \mathrm{kg} \)
Subject: Physics
Two charges of same magnitude move
in two circles of radii \( \boldsymbol{R}_{1}=\boldsymbol{R} \) and
\( R_{2}=2 R \) in a region of constant
uniform magnetic field \( B_{0} \)

The work \( W_{1} \) and \( W_{2} \) done by the
magnetic field in the Two cases,
respectively are such that:
\( \mathbf{A} \cdot W_{1}=W_{2}=0 \)
в. \( W_{1}>W_{2} \)
\( \mathbf{c} \cdot W_{1}=W_{2} \neq 0 \)
D. \( W_{1}<W_{2} \)
Subject: Maths
Find the value of \( (27)^{-\frac{2}{3}}+ \)
\( \left(\left(2^{-\frac{2}{3}}\right)^{-\frac{5}{3}}\right)^{-\frac{9}{10}} \)
A \( \cdot \frac{1}{9} \)
B. \( \frac{2}{9} \)
c. \( \frac{11}{18} \)
\( D \)
Subject: Physics
In Searle's exp to find Young's modulus, the diameter of wire is measured as \( \mathrm{D}= \) \( 0.05 \mathrm{cm}, \) length of wire is \( \mathrm{L}=125 \mathrm{cm}, \) and when a weight, \( m=20.0 \mathrm{kg} \) is put, extension in wire was found to be 0.100
cm. Find maximum permissible error in young's modulus (Y).
A . 43 \%
в. 6.3\%
c. \( 0.63 \% \)
D. 630\%
Subject: Physics
STATEMENT - 1: Gas ejected from rocket will never exert thrust on the rocket if
the ejected gas and the rocket move in the same direction.
STATEMENT - 2 : To exert thrust on
rocket in its direction of motion, the ejected gas (w.r.t. rocket) must move opposite to the velocity of rocket (w.r.t. ground)
A. statement-1 is True, Statement-2 is True ; statementis a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True ;statement-2 is NOT a correct explanation for Statement-
c. statement-1 is True, statement-2 is False
D. statement-1 is False, statement-2 is True
Subject: Maths
Find the area of \( \triangle P Q R \) whose vertices \( \operatorname{are} \boldsymbol{P}(\mathbf{2}, \mathbf{1}), \boldsymbol{Q}(\mathbf{3}, \mathbf{4}) \) and \( \boldsymbol{R}(\mathbf{5}, \mathbf{2}) \)
Subject: Chemistry
Fuel cell involves which of the following
reaction(s)?
This question has multiple correct options
\( \mathbf{A} \cdot O_{2}(g)+2 H_{2} O(l)+4 e^{-} \rightarrow 4 O H^{-}(a q .)(\text { at cathode }) \)
B. \( O_{2}(g)+2 H_{2} O(l)+4 e^{-} \rightarrow 4 O H^{-}(a q .) \) (at anode)
\( \mathbf{c} \cdot 2 H_{2}(g)+4 O H^{-}(a q) \rightarrow 4 H_{2} O(l)+4 e^{-}(a t \text { anode }) \)
D. \( 2 H_{2}(g)+4 O H^{-}(a q .) \rightarrow 4 H_{2} O(l)+4 e^{-} \) (at cathode)
Subject: Maths
Construct a \( 2 \times 2 \) matrix, \( A=\left[a_{i j}\right] \)
whose elements are given by:
(i) \( a_{i j}=\frac{(i+j)^{2}}{2} \)
(ii) \( a_{i j}=\frac{i}{j} \)
(iii) \( a_{i j}=\frac{(i+2 j)^{2}}{2} \)
Subject: Physics
The gravitational force between two
particles is \( F, \) if the objects are stationary and separated by a distance of \( 1 \mathrm{m} \). If the objects starts moving in opposite directions, from rest with
uniform acceleration of \( a=1 m / s^{2} \)
then the force between them after 3 secs will be
A. 4 F/ 5
B. F/100
c. \( 4 F / 121 \)
D. F/2
Subject: Chemistry
Which of the statements about the
reaction below are incorrect?
\( 2 P b O(s)+C(s) \rightarrow 2 P b(g)+C O_{2}(g) \)
(I) Lead is getting reduced.
(II) Carbon dioxide is getting oxidized.
(III) Carbon is getting oxidized.
(IV) Lead oxide is getting reduced.
A . I and II
B. I and III
c. ।, ॥ and III
D. All are incorrect
Subject: Chemistry
Based on the following reaction identify alkene \( \boldsymbol{A} \)
\[
A \frac{o_{3} / H_{2} O / Z n}{2 H C H O+}
\]
A \( \cdot C H_{2}=C H-C H=C H_{2} \)
в. \( C H_{3}-C H=C H-C H_{3} \)
\( \mathbf{c} \cdot C H_{2}=C H-C H_{2}-C H_{3} \)
D. None of these
Subject: Physics
(a) Why are the connections between
the resistors in a meter bridge made of
thick copper strips?
(b) Why is it generally preferred to
obtain the balance point in the middle
of the meter bridge wire?
(c) Which material is used for the meter
bridge wire and why?
OR
A resistance of \( \mathrm{R} \Omega \) draws current from
a potentiometer as shown in the figure.
The potentiometer has a total
resistance \( R_{0} \Omega . \) A voltage \( V \) is supplied
to the potentiometer. Derive an
expression for the voltage across \( \mathrm{R} \) when the sliding contact is in the
middle of the potentiometer.
Subject: Physics
A projectile ofmass \( m \) is thrown with a
velocity v making an angle \( 60^{\circ} \) with the horizontal, neglecting air resistance, the change in momentum from the departure A to its arrival at B, along the vertical directions:
\( A \cdot 2 m \)
B. \( \sqrt{3} \mathrm{mv} \)
\( c .3 m v \)
D. \( \frac{m v}{\sqrt{3}} \)
Subject: Physics
A tightly-wound long solenoid has n turns per unit length,radius r and
carries a current \( i . \) A particle having
charge \( q \) and mass \( m \) is projected from a point on the axis in the direction
perpendicular to the axis.The maximum speed for which particle does not strike
the solenoid will be
A \( \cdot \frac{\mu_{o} q r n i}{2 m} \)
B. \( \frac{\mu_{o} q r n i}{m} \)
c. \( \frac{2 \mu_{o} q r n i}{3 m} \)
D. None of these
Subject: Maths
The direction cosines of a line equally
inclined to three mutually perpendicular lines having D.C.'s as
\( \ell_{1} m_{1} n_{1}: \ell_{2} m_{2} n_{2}: \ell_{3} m_{3} n_{3} \) are
A. \( l_{1}+l_{2}+l_{3}, m_{1}+m_{2}+m_{3}, n_{1}+n_{2}+n_{3} \)
B \( \cdot\left(\pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}\right) \)
\( ^{\mathbf{c}} \cdot\left(\pm \frac{1}{\sqrt{2}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{4}}\right) \)
D. none of these
Subject: Chemistry
Which out of the following statements
is false?
A. Avogadro's number \( =6.02 \times 10^{21} \)
B. The relationship between average velocity \( (\bar{v}) \) and the root mean square velocity \( (u) \) is \( \bar{v}=0.9213 u \)
C. The mean kinetic energy of an ideal gas is independent of the pressure of the gas
D. The root mean square velocity of the gas can be
calculated by the formula \( \left(\frac{3 R T}{M_{W}}\right)^{\frac{1}{2}} \)
Subject: Chemistry
30 litre \( H_{2}(g) \) and 30 litre \( N_{2}(g) \) were
taken for the reaction in Haber's
process which yields only \( 50 \% \) of the expected ammonia due to the reversibility of the reaction. What will be the composition of the reaction mixture under the given condition?
A \( \cdot N H_{3}: 20 L ; N_{2}: 20 L ; H_{2}: 20 L \)
B. \( N H_{3}: 10 L ; N_{2}: 25 L ; H_{2}: 15 L \)
c. \( N H_{3}: 20 L ; N_{2}: 10 L ; H_{2}: 30 L \)
D. \( N H_{3}: 20 L ; N_{2}: 25 L ; H_{2}: 15 L \)
Subject: Physics
A metal cylinder 0.628 m long and \( 0.04 m \) in diameter has one end in
boiling water at \( 100^{\circ} \mathrm{C} \) and other end is melting ice. The co-efficient of Thermal conductivity of the metal is
\( 378 W m^{-1} k^{-1} . \) Latest heat of lce is
\( 3.36 \times 10^{5} J k g^{-1} . \) Find the mass of ice
melts in one hour.
Subject: Chemistry
The wavelength associated with a golf ball weighing 200 g and moving at a speed of \( 5 \mathrm{m} / \mathrm{h} \) is of the order:
A \( \cdot 10^{-10} m \)
В. \( 10^{-20} m \)
\( \mathbf{c} \cdot 10^{-30} m \)
D. \( 10^{-40} m \)
Subject: Physics
The length of a potentiometer wire is 10m. The distance between the null
points on its wire corresponding to two cells comes out to be \( 60 \mathrm{cm} \). If the difference of emf's of the cells is 0.4 volt
then the potential gradient on potentiometer wire will be
\( A \cdot 0.67 \mathrm{V} / \mathrm{m} \)
B. \( 0.5 \vee / \) m
c. \( 2.5 \mathrm{V} / \mathrm{m} \)
D. ov \( / \mathrm{m} \)
Subject: Chemistry
Assertion
The stability of peroxides and
superoxides increases in passing from
Li to CS.
Reason
The electropositive character of the
elements in the periodic table increases
on moving down a group.
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
Pure \( S e \) at \( 300 K \) has equal electron \( \left(n_{e}\right) \)
and hole \( \left(n_{h}\right) \) concentration of \( 1.5 \times \)
\( 10^{6} m^{-3} . \) Doping by indium increases
\( \boldsymbol{n}_{\boldsymbol{h}}=\mathbf{4 . 5} \times \mathbf{1 0}^{\mathbf{2 2}} \boldsymbol{m}^{-\mathbf{3}} . \) Calculate the
doped silicon.
Subject: Maths
The diagram, given below shows two paths drawn inside a rectangular field \( 80 \mathrm{m} \) long and \( 45 \mathrm{m} \) wide. The widths of
the two paths are \( 8 \mathrm{m} \) and \( 15 \mathrm{m} \) as shown. Find the area of the shaded
portion
Subject: Physics
A uniform metre rule balances
horizontally on a knife edge placed at the \( 58 c m \) mark when a weight of \( 20 g f \) is suspended from one end. What is the weight of the rule?
A. \( 10500 g f \)
в. \( 105 g f \)
c. \( 1.05 g f \)
D. \( 11.6 g f \)
Subject: Physics
Displacement time equation of a
particle SHM is \( \boldsymbol{x}= \) \( \mathbf{1 0} \sin \left(\frac{\boldsymbol{\pi}}{\mathbf{3}} \boldsymbol{t}+\frac{\boldsymbol{\pi}}{\mathbf{6}}\right) \boldsymbol{c m} . \) The distance
covered by particle in \( 3 s \) is
A . \( 5 \mathrm{cm} \)
B. \( 20 \mathrm{cm} \)
c. \( 10 \mathrm{cm} \)
D. \( 15 \mathrm{cm} \)
Subject: Chemistry
Among the following molecules/ions, \( C_{2}^{2-}, N_{2}^{2-}, O_{2}^{2-}, O_{2} \)
which one is diamagnetic and has the shortest bond length?
A \( \cdot C_{2}^{2} \)
B . \( N_{2}^{2} \)
\( c \cdot O_{2} \)
D. \( O_{2}^{2} \)
Subject: Physics
A piece of wood of mass 0.03 kg is
dropped from the top of a 100 m height
building. At the same time, a bullet of
mass \( 0.02 \mathrm{kg} \) is fired vertically upward,
with a velocity \( 100 m s^{-1}, \) from the
ground. The bullet gets embedded in the wood. Then the maximum height to
which the combined system reaches above the top of the building before
falling below is : \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} \boldsymbol{s}^{-2}\right) \)
A. \( 30 m \)
B. \( 10 m \)
c. \( 40 m \)
D. \( 20 m \)
Subject: Biology
Unscramble the underlined words in the
following sentences.
The overgrowth of sclemus in ynxlar leads to the hoarse voice in
adolescent boys.
A. The overgrowth of scmusle in rylanx leads to the hoarse voice in adolescent boys
B. The overgrowth of mulescs in lanxyr leads to the hoarse voice in adolescent boys
c. The overgrowth of lesmcus in xylran leads to the hoarse voice in adolescent boys
D. The overgrowth of muscles in larynx leads to the hoarse voice in adolescent boys.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{3} & \mathbf{2} & \mathbf{1}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{3} & \mathbf{2} & \mathbf{1} \\ \mathbf{1} & \mathbf{2} & \mathbf{3}\end{array}\right] \)
find \( \mathbf{3} \boldsymbol{B}-\mathbf{2} \boldsymbol{A} \)
Subject: Maths
\( \lim _{x \rightarrow \infty}\left(\frac{x^{2}+5 x+3}{x^{2}+x+3}\right)^{1 / x} \)
A \( \cdot e^{4} \)
B. \( e^{2} \)
\( c \cdot e^{3} \)
\( D \)
Subject: Physics
The \( 6563 A \) line emitted by hydrogen atom in a star is found to be red shifted by 5 , is the speed with which the star is receding from the earth is:
A \( \cdot 17.3 \times 10^{3} \mathrm{m} / \mathrm{s} \)
B . \( 4.29 \times 10^{7} \mathrm{m} / \mathrm{s} \)
c. \( 3.39 \times 10^{5} \mathrm{m} / \mathrm{s} \)
D. \( 2.29 \times 10^{5} \mathrm{m} / \mathrm{s} \)
Subject: Physics
A cricket ball of mass 500 gm strikes a bat normally with a velocity \( 30 \mathrm{m} / \mathrm{s} \) and rebounds with a velocity \( 20 \mathrm{m} / \mathrm{s} \) in the opposite direction. The impulse of the force exerted by the ball on the bat is:
A. \( 0.5 \mathrm{N} . \)
B. 1.0 N.s
c. 25 N.
D. 50 N.s
Subject: Chemistry
The depression in freezing point for \( 1 \mathrm{M} \) urea, 1 M glucose and 1 M \( N a C l \) are in
the ratio:
A. 1: 2: 3
B. 3: 2: 2
\( \mathrm{c} \cdot 1: 1: 2 \)
D. 2: 3: 2
Subject: Maths
In the figure, if the \( \angle A O B=60^{\circ} \) and
radius is \( 12 \mathrm{cm} \), then find the area of the
segment \( A X B .(\pi=3.14, \sqrt{3}=1.73) \)
A . 14
B . 13.08
c. 12
D. 3.14
Subject: Maths
What positive value(s) of \( x, \) less than
\( 360^{\circ}, \) will give a minimum value for \( 4-2 \) \( \sin x \cos x ? \)
\( A \cdot \frac{\pi}{4} \) only
B . \( \frac{5 \pi}{4} \) only
\( \mathbf{c} \cdot \frac{\pi}{2} \) and \( \frac{5 \pi}{2} \)
D. \( \frac{3 \pi}{2 \pi} \)
E \( \cdot \frac{\pi}{4} \) and \( \frac{5 \pi}{4} \)
Subject: Physics
Q Type your question
(a) The size of the atom in the
Thomsons model is \( \dots-m \) atomic size
in Rutherford's model.
(much greater than/no different from/much less than.)
(b) In the ground state of ........... electrons are in stable equilibrium, while in electrons always experience a net force. (Thomsons model/ Rutherfords model.)
(c) A classical atom based on \( \ldots \). is
doomed to collapse.
(Thomsons model/ Rutherfords model.)
(d) An atom has a nearly continuous mass distribution in \( a \)........... but has a
highly non-uniform mass distribution
in
(Thomsons model/ Rutherfords model.)
(e) The positively charged part of the atom possesses most of the mass in
(Rutherfords model / both the models.)
Subject: Chemistry
\( \boldsymbol{X}+\boldsymbol{C}+\boldsymbol{C l}_{2} \stackrel{\text { High Temp. }}{\boldsymbol{Y}} \boldsymbol{H}+\boldsymbol{C O} \)
\( \boldsymbol{Y}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{Z}+\mathbf{2} \boldsymbol{H} \boldsymbol{C l} \)
Compound Y is found in polymeric
structure and is an electron deficient
molecule. The compound Y is:
A. \( B e O \)
в. \( B e C l_{2} \)
\( \mathbf{c} \cdot B e(O H)_{2} \)
D. \( B e O . B e(O H)_{2} \)
Subject: Physics
The coefficients of self induction of two
coils are \( L_{1}=8 \mathrm{mH} \) and \( L_{2}=2 \mathrm{mH} \)
respectively. The current rises in the two
coils at the same rate. The power given
to the two coils at any instant is same. The ratio of energies stored in the coils
will be:
A. \( \frac{W_{1}}{W_{2}}=4 \)
B. \( \frac{W_{1}}{W_{2}}=\frac{1}{4} \)
\( \mathbf{c} \cdot \frac{W_{1}}{W_{2}}=\frac{3}{4} \)
D. \( \frac{W_{1}}{W_{2}}=\frac{4}{3} \)
Subject: Physics
The difference in \( P E \) of an object of mass \( 10 k g \) when it is taken from a
height of \( 6400 k m \) to \( 12800 k m \) from the surface of the earth is
B . \( 1.565 \times 10^{8} \mathrm{J} \)
C . \( 2.65 \times 10^{8} \) 」
D. \( 4.5 \times 10^{8} \) 」
Subject: Chemistry
Which of the following are tertiary radicals?
(a) \( \left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}- \)
(b) \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{CH}- \)
(c) \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{C}-\mathrm{C}_{2} \mathrm{H}_{5} \)
(d) \( \left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{CH}_{2}- \)
\( A \cdot a, b \)
в. b,
\( c . \) a,
D. b, d
Subject: Maths
Let \( \boldsymbol{P}= \) Set of all integral multiples of 3
\( ; Q=\operatorname{set} \) of integral multiples of \( 4 ; R= \) Set of all integral multiples of 6 Consider the following relations:
\( \mathbf{1} \boldsymbol{P} \cup \boldsymbol{Q}=\boldsymbol{R} \)
\( \mathbf{2} . \boldsymbol{P} \subset \boldsymbol{R} \)
3. \( \boldsymbol{R} \subset(\boldsymbol{P} \cup \boldsymbol{Q}) \)
Which of the relations given above is/are correct ?
A. only 1
B . only 2
c. only 3
D. both 2 and 3
Subject: Chemistry
\( 2.33 \mathrm{g} \) of compound \( \mathrm{X} \) (empirical formula
\( \left.C o H_{12} N_{4} C l_{3}\right) \) upon treatment with
excess \( A g N O_{3} \) solution produces 1.435 \( g \) of a white precipitate. The primary and secondary valences of cobalt in
compound \( X, \) respectively, are. [Given : Atomic mass: \( \boldsymbol{C o}=\mathbf{5 9}, \boldsymbol{C l}= \)
\( \mathbf{3 5 . 5}, \boldsymbol{A} \boldsymbol{g}=\mathbf{1 0 8}] \)
\( A \cdot 3,6 \)
в. 3,4
\( c \cdot 2,4 \)
D. 4,3