AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two balls of equal masses are projected upward simultaneously, one from the ground with speed \( 50 m / s \) and other from a \( 40 m \) high tower with initial speed \( 30 m / s . \) Find the maximum height attained by their centre of mass.
\( A \cdot 100 m \)
B. 200 \( \mathrm{m} \)
c. \( 150 \mathrm{m} \)
\( D .50 \mathrm{m} \)
Subject: Physics
The focal length of the objective of a telescope is \( 60 \mathrm{cm} . \) To obtain a
magnification of 20 for the relaxed eye, the length of telescope should be
\( \mathbf{A} \cdot 80 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
\( \mathbf{c} \cdot 63 c m \)
D. \( 57 \mathrm{cm} \)
Subject: Maths
ff \( \boldsymbol{A}=\left[\begin{array}{cc}\cos \boldsymbol{\alpha} & -\sin \boldsymbol{\alpha} \\ \sin \boldsymbol{\alpha} & \cos \boldsymbol{\alpha}\end{array}\right] \) and \( \boldsymbol{A}+\boldsymbol{A}^{\boldsymbol{T}}= \)
\( I, \) find the value of \( a \) in \( \frac{\pi}{a} \in[0, \pi] \)
Subject: Physics
The current I and voltage V graphs for a given metallic wire at two different
temperatures \( T_{1} \) and \( T_{2} \) are shown in
figure.lt is concluded that
A \( \cdot T_{1}>T_{2} \)
в. \( T_{1}<T_{2} \)
\( \mathrm{c} \cdot T_{1}=T_{2} \)
D. Nothing can be decided
Subject: Chemistry
A vessel contains 1 mole \( \boldsymbol{P} C l_{5}(g) \) at 4
\( \operatorname{atm} \) and 0.5 mole \( P C l_{3} \) formed at
equilibrium. Now, equilibrium pressure of mixture is (assume ideal behavior)
\( A \cdot 16 \) atm
B. 6 atm
\( c \cdot 2 \) atm
D. 4.5 atm
Subject: Maths
The value of \( \int \frac{e^{x}}{x}(x \log x+1) d x \) is
equal to
A \( \cdot \frac{e^{x}}{x}+C \)
B . \( x e^{x} \log |x|+C \)
c. \( e^{x} \log |x|+C \)
D・ \( x\left(e^{x}+\log |x|\right)+C \)
E \( \cdot x e^{x}+\log |x|+C \)
Subject: Physics
When a transverse plane wave traverses a medium, individual particles execute periodic motion given by the equation \( \boldsymbol{y}=\mathbf{0 . 2 5} \cos (\mathbf{2} \boldsymbol{\pi} \boldsymbol{t}-\boldsymbol{\pi} \boldsymbol{x}) . \) The phase
difference for two position of same particle which are occupied by time intervals 0.4 second apart is
Subject: Maths
Let \( \boldsymbol{A}=\{1,2,3,4\} \) and \( B= \)
\{2,3,4,5,6\} then \( A \triangle B \) is equal to
A \( \cdot\{2,3,4\} \)
B \cdot \{1\}
\( \mathbf{c} \cdot\{5,6\} \)
D \cdot \{1,5,6\}
Subject: Chemistry
At \( 25 C, \) the solubility product values of
\( A g C l \) and \( A g C N S \) are \( 1.7 \times 10^{-10} \) and \( 1.0 \times 10^{-12} \) respectively. When water is
saturated with both solids, calculate
the ratio \( \left[\boldsymbol{C l}^{-}\right] /\left[\boldsymbol{C} \boldsymbol{N} \boldsymbol{S}^{-}\right] \) and also
\( \left[A g^{+}\right] \) in the solution.
A \( \cdot 1.3 \times 10^{2}, 1.7 \times 10^{-5} M \)
В . \( 1.7 \times 10^{2}, 1.308 \times 10^{-5} M \)
C. \( 1.3 \times 10^{4}, 1.308 \times 10^{-4} M \)
D. \( 1.7 \times 10^{3}, 1.67 \times 10^{-6} M \)
Subject: Maths
The mean square deviation of a set of \( n \)
observation \( x_{1}, x_{2}, \ldots x_{n} \) about a point \( c \)
is defined as \( \frac{1}{n} \sum_{i=1}^{n}\left(x_{i}-c\right)^{2} \)
The mean square deviations about -2
and 2 are 18 and 10 respectively, the standard deviation of this set of
observations is
A . 3
B. 2
\( c . \)
D. None of these
Subject: Chemistry
Give correct IUPAC name of:
A. 2 -hydroxypropane- 1,2,3 -tricarboxylic acid
B. 2 -hydroxypropane- 2,3 -dicarboxylic acid
c. 3 -hydroxypropane- 1,2,3 -dicarboxylic acid
D. 3 -hydroxypropane- 1,2,3 -tricarboxylic acid
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left[(\boldsymbol{x}+\boldsymbol{a})\left(\boldsymbol{x}^{2}+\boldsymbol{a}^{2}\right)\left(\boldsymbol{x}^{4}+\boldsymbol{a}^{4}\right)\right]=? \)
\( ^{\mathbf{A} \cdot \frac{7 x^{8}+a\left(8 x^{7}-a^{7}\right)}{(x-a)^{2}}} \)
B. \( \frac{7 x^{8}-a\left(8 x^{7}-a^{7}\right)}{(x-a)^{2}} \)
c. \( \frac{7 x^{8}-a\left(8 x^{7}+a^{7}\right)}{(x-a)^{2}} \)
D. \( x^{4}+a^{4} \)
Subject: Physics
Through two parallel wires \( A \) and \( B, 10 A \)
and \( 2 A \) of currents are passed
respectively in opposite directions. If the wire \( A \) is infinitely long and the length of the wire \( \mathrm{B} \) is \( 2 \mathrm{m} \), then force on the conductor \( \mathrm{B} \), which is situated at 10
\( \mathrm{cm} \) distance from \( \mathrm{A}, \) will be
\( \mathbf{A} \cdot 8 \times 10^{-7} N \)
B \( .8 \times 10^{-5} N \)
c. \( 4 \times 10^{-7} N \)
D. \( 4 \times 10^{-5} N \)
Subject: Maths
If \( \int \frac{e^{x}\left(2-x^{2}\right)}{(1-x) \sqrt{1-x^{2}}} d x= \)
\( \mu e^{x}\left(\frac{1+x}{1-x}\right)^{\lambda}+C, \) then \( 2(\lambda+\mu) \) is
equal to
\( A \)
B.
\( c \cdot 2 \)
D. 3
Subject: Physics
A triangular plate of uniform thickness and density is made to rotate about an
axis perpendicular to the plane of the
paper and
(a) passing through \( \boldsymbol{A} \) passing through \( B, \) by the
application of some force \( \boldsymbol{F} \) at \( \boldsymbol{C}(\operatorname{mid}- \)
point of \( A B) \) as shown in fig. In which
case is angular acceleration more
A \( . \) in case \( (a) \)
B. in case (b)
c. both \( (a) \) and \( (b) \)
D. none of these
Subject: Chemistry
Assertion
\( C H_{3}-C H_{2} I \) reacts more rapidly with
strong base in comparison to
\( \boldsymbol{C} \boldsymbol{D}_{3} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{I} \)
Reason
The elimination of \( H I(\text { or } D I) \) in
presence of strong base shows \( \boldsymbol{E}_{2} \) elimination.The rate determining step involves breaking up of \( C-H \) or \( (C- \)
\( D \) ) bond.The \( C-D \) bond being stronger
than \( C-H \) and thus elimination is
faster in case of \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2} \boldsymbol{I} \)
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: Biology
Study the statements given below.
X: In humans, the gamete contributed by the male determines whether the
child produced will be male or female.
Y: Sex in humans is a polygenic trait depending upon a cumulative effect of
some genes on X chromosome and
some on Y chromosome.
A. If both \( x \) and \( Y \) are true and the \( Y \) is the correct explanation of the X.
B. If both \( x \) and \( Y \) are true but \( Y \) is not the correct explanation of the X.
c. If \( x \) is true but \( Y \) is false
D. If both \( x \) and \( Y \) are false
Subject: Biology
Which of the following sequences of
taxa in the animal kingdom is correct?
A. Kingdom \( \rightarrow \) Phylum \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Family \( \rightarrow \)
Species\( \rightarrow \)Genus
B. Kingdom \( \rightarrow \) Phylum \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Family \( \rightarrow \) Genus \( \rightarrow \) Species
c. Kingdom\( \rightarrow \)Phylum\( \rightarrow \)Class\( \rightarrow \)Family\( \rightarrow \)Order\( \rightarrow \)
Genus \( \rightarrow \) Species
D. Phylum \( \rightarrow \) Kingdom \( \rightarrow \) Class \( \rightarrow \) family \( \rightarrow \) Order \( \rightarrow \) Genus \( \rightarrow \) Species
Subject: Physics
A mass m rotates in a vertical circle of
radius, \( R \) and has a circular speed \( v_{c} \) at the top.- If the radius of the circle is increased by a factor of \( 4, \) circular speed at the top will be
A. decreased by a factor of 2
B. decreased by a factor of 4.
c. increased by a factor of 2
D. increased by a factor of 4
Subject: Maths
If \( \boldsymbol{A}=(\mathbf{5}, \mathbf{8}), \) then area of \( \triangle \boldsymbol{A B D} \) in
square units is
A \( \cdot \frac{96 \sqrt{5}}{89} \)
в. \( \frac{960 \sqrt{5}}{89} \)
c. \( \frac{960 \sqrt{5}}{\sqrt{8} 9} \)
D. None of these
Subject: Physics
Two point masses each equal to \( 1 k g \) attract one another with a force of
\( 10^{-9} k g w t . \) Find the distance between
the two point masses. Take: \( g= \)
\( 9.8 m / s^{2} \)
\( A \cdot 8 c m \)
B. \( 0.8 \mathrm{cm} \)
c. \( 80 \mathrm{cm} \)
D. \( 0.08 \mathrm{cm} \)
Subject: Maths
The area of a triangle is 5 and its two vertices are \( \boldsymbol{A}(\mathbf{2}, \mathbf{1}) \) and \( \boldsymbol{B}(\mathbf{3},-\mathbf{2}) . \) The
third vertex lies on \( y=x+3 . \) Then third
vertex is
This question has multiple correct options
A \( \cdot\left(\frac{7}{2}, \frac{13}{2}\right) \)
в. \( \left(\frac{5}{2}, \frac{5}{2}\right) \)
\( ^{c} \cdot\left(-\frac{3}{2}, \frac{3}{2}\right) \)
D. (0,0)
Subject: Maths
Evaluate: \( \int_{0}^{\pi} \frac{x}{a^{2} \cos ^{2} x+b^{2} \sin ^{2} x} d x \)
\( \mathbf{A} \cdot \frac{\pi^{2}}{a b} \)
B. \( \frac{\pi^{2}}{2 a b} \)
\( \mathbf{C} \cdot \frac{2 \pi^{2}}{a b} \)
D. \( \frac{\pi^{2}}{4 a b} \)
Subject: Maths
If \( |\bar{a}+\bar{b}|=|\bar{a}-\bar{b}| \) then
A \( . \bar{a} \| \bar{b} \)
B. \( \bar{a} \perp \bar{b} \)
\( \mathbf{c} \cdot \bar{a}=\bar{b} \)
D. None of these
Subject: Biology
Put the following parts of a reflex arc in the correct order beginning with the
sensory receptor.
A. Motor neuron
B. Interneuron C.
Effector
D. Sensory neuron
E. Sensory
receptor
\( A \cdot E, D, B, A, C \)
B. E, D, A, B, C
c. А, В, С, D, Е
D. A, E, D, B, C
Subject: Physics
A heater is designed to operate with a power of \( 1000 W \) on a line of \( 100 V \). It is
connected in combination with
resistance of \( 10 \Omega \) and a resistance \( R \) to
line of \( 100 \mathrm{V} \). The value of \( \mathrm{R} \) so the
entire circuit operates with a power of
\( \mathbf{6 2 5} \boldsymbol{W} \) is
\( A \cdot 5 \Omega \)
В. \( 10 \Omega \)
\( c .15 \Omega \)
D. 20\Omega
Subject: Physics
The field normal to the plane of wire of \( n \) turns and radius r which carries i is
measured on the axis at a small
distance h from the centre of the coil
The is smaller than field at the center by
the fraction
\( ^{A} \cdot \frac{2 h^{2}}{13 r^{2}} \)
в. \( \frac{3 r^{2}}{2 h^{2}} \)
c. \( \frac{3 h^{2}}{2 r^{2}} \)
D. \( \frac{2 h^{2}}{3 r^{2}} \)
Subject: Maths
The diagonals of a rhombus are \( 24 \mathrm{cm} \)
and \( 10 \mathrm{cm} . \) Calculate its area.
A \( \cdot 120 \mathrm{cm}^{2} \)
в. \( 130 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 220 \mathrm{cm}^{2} \)
D. None of these
Subject: Maths
The number of spherical lead shots each \( 4.2 \mathrm{cm} \) in diameter that can be obtained from a rectangular solid with diameter \( 66 \mathrm{cm} \times 42 \mathrm{cm} \times 21 \mathrm{cm} \) is
A. 750
B. 3000
\( c \cdot 1500 \)
D. None of the above
Subject: Chemistry
A sample of 0.50 gm of an organic compound was treated according to Kjeldahl's method. The ammonia evolved was absorbed in \( 50 \mathrm{ml} \) of \( 0.5 \mathrm{M} \)
\( H_{2} S O_{4} . \) The residual acid required 60 \( \mathrm{ml} \) of \( 0.5 \mathrm{M} \) solution of \( \mathrm{NaOH} \) for
neutralization. Find the percentage composition of nitrogen(X) in the compound.
Subject: Chemistry
\( \boldsymbol{C H}_{3} \)
\( \boldsymbol{C H}_{3}-\dot{\boldsymbol{N}}-\boldsymbol{C H}_{3} \) the IUPAC name is:
A. Trimethyl amine
B. 2-methyl ethanamine
c. N,N-Dimethylmethanamine
D. Trimethyl ammonia
Subject: Maths
In \( \triangle \mathrm{PQR}, \mathrm{M} \) and \( \mathrm{N} \) are points on sides PQ and PR respectively such that PM = \( 15 \mathrm{cm} \) and \( \mathrm{NR}=8 \mathrm{cm} . \) If \( \mathrm{PQ}=25 \mathrm{cm} \) and
\( P R=20 \mathrm{cm} \) state whether MN \( \| \mathrm{QR} \)
Subject: Chemistry
Suppose that a reaction has \( \Delta \boldsymbol{H}= \)
\( 40 k J \) and \( \Delta S=50 k J / K . \) At what
temperature range will it change from spontaneous to non-spontaneous?
B. \( 799 K \) to \( 800 K \)
c. \( 800 K \) to \( 801 K \)
D. \( 799 K \) to \( 801 K \)
Subject: Physics
A uniform sphere of mass \( \mathrm{M} \) and radius
\( \mathrm{R} \) is surrounded by a concentric spherical shell of same mass but
radius \( 2 \mathrm{R} . \) A point mass \( \mathrm{m} \) is kept at a distance \( x(>R) \) in the region bounded by spheres as shown in the figure. The net
gravitational force on the particle is
A \( \cdot \frac{\operatorname{CMm}}{\frac{\pi^{2}}{n}} \)
B. \( \frac{G M m}{R^{3}} \)
\( c \cdot \frac{G(M+m)}{x^{2}} \)
D. zer
Subject: Maths
When \( 2 x^{2}-a x+7 \) and \( a x^{2}+7 x+12 \)
are divided by \( (x-3) \) and \( (x+1) \) respectively, the remainder is same. Find the value of a.
\( \mathbf{A} \cdot a=7 \)
B. \( a=14 \)
c. \( a=21 \)
\( \mathbf{D} \cdot a=5 \)
Subject: Maths
\( \int e^{\tan ^{-1} x}\left(\frac{1+x+x^{2}}{1+x^{2}}\right) d x \) is equal to
A \( \cdot-e^{\tan ^{-1} x}+c \)
B . \( e^{\tan ^{-1} x}+c \)
\( \mathrm{c} \cdot-x e^{\tan ^{-1} x}+c \)
D. \( x e^{\tan ^{-1} x}+c \)
Subject: Chemistry
The amount of \( \left(N H_{4}\right)_{2} S O_{4} \) having degree of dissocation \( 75 \% \) which should
be dissolved in \( 1500 \mathrm{ml} \) of \( 1 \mathrm{M} N H_{4} \mathrm{OH} \)
to decrease its degree of dissociation
by 200 times, is \( \left[k_{b} \text { of } N H_{4} O H=1.8\right. \)
\( \left.\times 10^{-5}\right]: \)
A . \( 112.1 \mathrm{gm} \)
B. 224.2 gm
c. \( 56.0 \mathrm{gm} \)
D. 65.4gm
Subject: Physics
Two balloons \( A \) and \( B \) containing, 0.2 mole and 0.1 mole of helium at room
temperature and 2.0 atm. respectively are connected. When equilibrium is
established, the final pressure of \( \boldsymbol{H} e \) in the system
A. \( 01 . \) at
B. 1.5 atm
c. 0.5 atm
D. 2.0 atm
Subject: Maths
Let \( \boldsymbol{f}(\mathbf{1})=-\mathbf{2} \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x}) \geq \mathbf{4 . 2} \) for \( \mathbf{1} \leq \)
\( \boldsymbol{x} \leq \mathbf{6 .} \) The smallest possible value of
\( \boldsymbol{f}(\boldsymbol{6}) \) is
\( \mathbf{A} \cdot \mathbf{9} \)
B. 12
c. 15
D. 19
Subject: Maths
Find \( (5 \sqrt{3}+3 \sqrt{2}) \Delta \) where
\( \Delta=\left|\begin{array}{ccc}\sqrt{13}+\sqrt{3} & \sqrt{5} & 2 \sqrt{5} \\ \sqrt{15}+\sqrt{26} & \sqrt{10} & 5 \\ 3+\sqrt{65} & 5 & \sqrt{15}\end{array}\right| \)
Subject: Chemistry
Out of the following, which is the most stable compound?
A \( \cdot\left[B e\left(H_{2} O\right)_{4}\right]^{2+} \)
В \( \cdot\left[M g\left(H_{2} O\right)_{4}\right]^{2+} \)
\( ^{\mathrm{c}} \cdot\left[C a\left(H_{2} O\right)_{4}\right]^{2+} \)
D. \( \left[\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+} \)
Subject: Physics
The magnetic moment of electron is :
A. \( 9.27 \times 10^{-24} \) Joule/Tesla ander
B . \( 9.27 \times 10^{-24} \) Tesla/Joule
c. \( 9.27 \times 10^{-23} \) Joule/Tesla
D. \( 9.27 \times 10^{-23} \) Tesla/Joule
Subject: Chemistry
Conductivity (Unit Siemen's 'S') is
directly proportional to area of the
vessel and the concentration of the
solution in it and is inversely proportional to the length of the vessel,
then the unit of constant of
proportionality is
\( \mathbf{A} \cdot S m m o l^{-1} \)
B. \( S m^{2} m o l^{-1} \)
c. \( S^{-2} m^{2} \) mol
D. \( S^{2} m^{2} \) mol \( ^{-2} \)
Subject: Chemistry
Assertion: Substances with hydrogen
bonding tend to have unusually low boiling points.
Il : Extra energy is necessary to break the hydrogen bonds.
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct and Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is not correct
D. Assertion is not correct but Reason is correct
E. Both the Assertion and Reason are not correct
Subject: Maths
The heights of two cylinders are in the ratio of \( 3: 1 . \) If the volumes of two
cylinders be same, then find the ratio of their respective radii.
A \( \cdot 1: \sqrt{3} \)
в. \( 2: \sqrt{3} \)
c. \( \sqrt{3}: 1 \)
D. None of these
Subject: Chemistry
Which pair of compounds is expected to show similar color in aqueous medium?
A. \( F e C l_{3} \) and \( C u C l_{2} \)
в. \( V O C l_{2} \) and \( C u C l_{2} \)
c. \( V O C l_{2} \) and \( F e C l_{2} \)
D. \( F e C l_{2} \) and \( M n C l_{2} \)
Subject: Physics
A step down transformer reduces \( 220 \mathrm{V} \)
to \( 11 \mathrm{V} \).The primary coil draws \( 5 \mathrm{A} \) current and secondary coil supplies 90A.Efficiency of the transformer will be
A . 4.4\%
B. 20\%
c. 33\%
D. 90\%
Subject: Physics
On a planet where \( \boldsymbol{g}_{\text {planet}}=\mathbf{0 . 2} \boldsymbol{g}_{\text {earth}} \)
What will be the difference in the height of column filled with mercury in a closed end manometer when the gas is
filled withe pressure of \( 2 a t m \) on earth (Assuming:outside pressure to be 1 atm on both planet; Volume of gas remain constant)
A . \( 30.4 \mathrm{cm} \)
в. \( 760 \mathrm{cm} \)
c. \( 380 c m \)
D. 152 ст
Subject: Maths
Prove \( \int_{0}^{a} \boldsymbol{F} \boldsymbol{d} \boldsymbol{x}=\int_{0}^{\boldsymbol{a} / \mathbf{2}} \boldsymbol{F}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}+ \)
\( \int_{0}^{\boldsymbol{a} / 2} \boldsymbol{F}(\boldsymbol{a}-\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x} \)
Subject: Physics
In a certain region of space, electric field is along z-direction throughout The magnitude of electric field is, however, not constant but increases
uniformly along the positive z-direction, at the rate of \( 10^{5} N C^{-1} \) per metre. What
is the torque experienced by a system having a total dipole moment equal to \( 10^{-7} \mathrm{C}-\mathrm{m} \) in the negative z-direction?
A. 2 N-m
B. 3 N-m
c. \( 4 \mathrm{N}-\mathrm{m} \)
D. zero
Subject: Maths
Sugar is bought at Rs. 16.20 per \( \mathrm{kg} \) and sold at Rs. 17.28 per kg. The gain
percent is
A \( \cdot 6 \frac{2}{3} \% \)
в. \( 3 \frac{1}{3} \% \)
\( c \cdot 10 \% \)
D. \( _{10} \frac{2}{3} \% \)
Subject: Physics
In \( N P N \) transistor, \( 10^{10} \) electrons
enters in emitter region in \( 10^{-6} \) sec. If \( 2 \% \) electrons are lost in base region then collector current and current
amplification factor \( (\beta) \) respectively
are
\( A \cdot 1.57 \mathrm{mA}, 49 \)
B. 1.92 \( \mathrm{mA} \), 70
c. \( 2 \mathrm{mA}, 25 \)
D. 2.25 mA, 100
Subject: Maths
\( \operatorname{Let} \sin ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right), \) then \( \frac{d y}{d x} \) is
A \( \cdot \frac{2}{1+x^{2}} \)
в. \( \frac{1}{2\left(1+x^{2}\right)} \)
c. \( \frac{-2}{1+x^{2}} \)
D. \( \frac{2}{2-x^{2}} \)
Subject: Chemistry
The correct set of four quantum
numbers for the valence electron of
rubidium atom \( (Z=37) \) is
\( \mathbf{A} \cdot+5,+1,+1 / 2 \)
В. \( 6,0,0,+1 / 2 \)
c. \( 5,0,0,+1 / 2 \)
D. None of the above
Subject: Maths
The plane passing through the point (-2,-2,2) and containng the line joining the points (1,1,1)\( \&(, 1,-1,2) \) makes intercept of length \( a, b, c \) an aes
of \( x, y, z \) respectively then This question has multiple correct options
A \( . a=3 b \)
B . \( a+b+c=12 \)
c. No. of ways to distribute \( (3 b+6 c) \) alike objects among \( \frac{a}{2} \) boys \( =^{19} C_{4} \)
D \( \tan \left(\frac{\pi(b+c)}{2 a}\right)=1 \)
Subject: Chemistry
A redox reaction is shown in the
diagrams. Identify the reaction.
\( \left.\mathbf{A} \cdot Z n(s)+C u_{(a q)}^{2+} \rightarrow Z n_{(a q)}^{2+}+C u_{(} s\right) \)
B. \( \left.C u(s)+2 A g_{a q}^{+} \rightarrow C u_{(a q)}^{2+}+2 A g_{(} s\right) \)
C \( \cdot 2 A g(s)+C u_{(a q)}^{2+} \rightarrow 2 A g_{(a q)}^{+}+C u(s) \)
\( \left.\mathbf{D} \cdot C u_{(} s\right)+Z n_{(a q)}^{2+} \rightarrow C u_{(a q)}^{2+}+Z n(s) \)
Subject: Physics
Name the process represented below:
\( (\text { a })_{92}^{235} U+_{0}^{1} n \longrightarrow_{56}^{141} B a+_{36}^{92} K r+ \)
\( \mathbf{3}_{0}^{1} \boldsymbol{n}+\mathbf{2 0 0} \boldsymbol{M} \boldsymbol{e} \boldsymbol{V} \)
(b) \( _{1}^{2} \boldsymbol{H}+_{1}^{3} \boldsymbol{H} \longrightarrow_{2}^{4} \boldsymbol{H} \boldsymbol{e}+_{0}^{1} \boldsymbol{n}+ \)
\( \mathbf{1 7 . 6} M e V \)
\( (c)_{29}^{63} C u+_{2}^{4} H e+400 M e V \longrightarrow_{17}^{37} \)
\( \boldsymbol{C l}+\mathbf{1 4}_{\mathbf{1}}^{\mathbf{1} \boldsymbol{H}}+\mathbf{1 6}_{\mathbf{0}}^{\mathbf{1}} \boldsymbol{n} \)
\[
\begin{array}{rl}
10 & \mathrm{B}+_{2}^{4} \mathrm{He} \longrightarrow_{7}^{13} \mathrm{N}+_{0}^{1} \mathrm{n} \\
& _{6}^{13} \mathrm{C}+_{1}^{0} \mathrm{e}
\end{array}
\]
Subject: Maths
Assertion
Two distinct lines cannot have more
than one point in common.
Reason
Any number of lines can be drawn
through one point.
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
Assertion
Sensitive electrical instruments should
not be placed in the vicinity of an electromagnet.
Reason
Electromagnet can damage the instruments.
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
There is increase in boiling point of
takes place for each carbon atom added to the chain.
A \( \cdot 10^{0} \) to \( 20^{0} \)
B . \( 20^{0} \) to \( 30^{0} \)
\( \mathbf{c} \cdot 30^{0} \) to \( 40^{0} \)
D. \( 5^{0} \) to \( 10^{0} \)
Subject: Chemistry
Arrange the following compounds in increasing order of their boiling points.
(a)
(b) \( \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{Br} \)
\( (c) \)
\( \mathbf{A} \cdot(b)<(a)<(c) \)
B. \( (a)<(b)<(c) \)
C \( .(c)<(a)<(b) \)
D. \( (c)<(b)<(a) \)
Subject: Chemistry
Two platinum electrodes were
immersed in a solution of \( C u S O_{4} \) and electric current was passed through the solution. After some time, it was found
that colour of \( C u S O_{4} \) disappeared with
evolution of gas at the electrode. The colorless solution contains:
A \( . C u S O_{4} \)
в. \( H_{2} S O_{4} \)
\( c \cdot \operatorname{both} A \& B \)
D. None of the above
Subject: Physics
A girl riding a bicycle with a speed of 5
\( m s^{-1} \) towards north direction, observes
rain falling vertically down. If she
increases her speed to \( 10 \mathrm{ms}^{-1}, \) rain
appears to meet her at \( 45^{\circ} \) to the
vertical. What is the speed of the rain?
A \( \cdot 5 \sqrt{2} \mathrm{ms}^{-1} \)
B. \( 5 m s^{-1} \)
D. \( 10 m s^{-1} \)
Subject: Maths
10 different pens and two different books are distributed randomly to 3 students giving 4 things to each. The probability that books go to different students is
A \( \cdot \frac{5}{11} \)
в. \( \frac{6}{11} \)
\( c \cdot \frac{7}{11} \)
D. \( \frac{8}{11} \)
Subject: Maths
Check if the series is an \( A P \). Find the
common difference \( d . \) Also, find the next
three terms.
\( -10,-6,-2,2 \dots \dots \)
A. It is an \( A P \) and \( d=4, \) other terms 6,10,14
B. It is an \( A P \) and \( d=\frac{3}{5} \), other terms 5,10,15
c. It is not an \( A P \), other terms 3,4,5
D. None of these
Subject: Chemistry
Assertion
Due to catenation a large number of carbon compounds are formed.
Reason
Carbon compounds show the property of allotropy.
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 and \( B \) are two conductors carrying a
current \( i \) in the same direction, \( x \) and \( y \)
are two electron beams moving in the
same direction. There will be:
A. Repulsion between \( A \) and \( B \), attraction between \( x \) and
\( y \)
B. Attraction between \( A \) and \( B \), repulsion between \( x \) and
\( y \)
C. Repulsion between \( A \) and \( B \), and also \( x \) and \( y \)
D. Attraction between \( A \) and \( B \), and also \( x \) and \( y \)
Subject: Chemistry
Gadolinium belongs to \( 4 f \) series. It's
atomic number is \( 64 . \) Which of the
following is the correct electronic configuration of gadolinium?
\( \mathbf{A} \cdot[X e] 4 f^{7} 5 d^{1} 6 s^{2} \)
B. \( [X e] 4 f^{6} 5 d^{2} 6 s^{2} \)
\( \mathbf{c} \cdot[X e] 4 f^{8} 6 d^{2} \)
D \( \cdot[X e] 4 f^{9} 5 s^{1} \)