AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A particle \( A \) having a charge of \( 2.0 \times \)
\( 10^{-6} C \) is held fixed on a horizontal
table. A second charged particle of mass \( 80 g \) stays in equilibrium on the table at a distance of \( 10 \mathrm{cm} \) from the
first charge. The coefficient of friction
between the table and this second
particle is \( \mu=0.2 . \) Find the range
within which the charge of this second
particle may lie.
Subject: Physics
A spherical ball of radius \( 1 \times 10^{-4} m \)
and density \( 10^{4} k g / m^{3} \) falls freely under
gravity through a distance \( h \) before
entering a tank of water. If after entering the water the velocity of the ball does not change, find \( h \) in \( \mathrm{m} \) (Write
answer to nearest interger). (The
viscosity of water is \( 9.8 \times \) \( \left.10^{-6} N-s / m^{2}\right) \)
Subject: Physics
An ideal fluid flows in the pipe as shown
in the figure. The pressure in the fluid at
the bottom \( p_{2} \) is the same as it is at the
top \( p_{1} \). If the velocity of the top \( v_{1}= \)
\( \boldsymbol{m} / \boldsymbol{s} . \) Then the ratio of areas \( \boldsymbol{A}_{1} . \boldsymbol{A}_{2} \) is
A . 2: 1
B . 4: 1
\( c \cdot 8: 1 \)
D. 4: 3
Subject: Physics
A thick rope of rubber of density \( 1.5 \times \) \( 10^{3} \mathrm{kg} / \mathrm{m}^{3} \) and Young's modulus \( 5 \times \)
\( 10^{6} \mathrm{N} / \mathrm{m}^{2}, 8 \mathrm{m} \) length is hung from the
ceiling of a room, the increases in its length due to its own weight is :
\( \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
A \( .9 .6 \times 10^{-2} \mathrm{m} \)
в. \( 19.2 \times 10^{-7} \mathrm{m} \)
c. \( 9.6 \times 10^{-7} \mathrm{m} \)
D. \( 9.6 m \)
Subject: Physics
How much energy must be imparted to
the proton so as to start the reaction? \( ^{7} L i_{3}+^{1} H_{1} \rightarrow_{4} B e^{7}+_{0} \eta^{1} \)
Given the mass of the atoms;
\( _{3}^{7} L i-7.01600_{, 1}^{1} H-1.00783_{, 4}^{7} B e- \)
\( \mathbf{7 . 0 1 6 9 3}_{.0} \mathbf{n}-\mathbf{1 . 0 0 8 6 6} \)
Subject: Physics
For the given potentiometer circuits,
potential gradient is \( 0.025 V / m \) and the
ammeter reading is 0.1 A. Now, when
terminals 1 and 2 are connected
balance point is obtained at \( 40 \mathrm{cm} \). Also
when terminals 1 and 3 are connected
balance point in obtained at \( 100 \mathrm{cm} \). If
\( 3 R=k X, \) then the value of \( k \) will be
Subject: Physics
In Millikan's oil drop experiment, what is the terminal speed of an uncharged drop of radius \( 2.0 \times 10^{-5} m \) and density
\( 1.2 \times 10^{3} k g m^{-3} . \) Take the viscosity of
air at the temperature of the experiment to be \( 1.8 \times 10^{-5} \) Pa s. How
much is the viscous force on the drop at
that speed ? Neglect buoyancy of the drop due to air.
Subject: Physics
What is the mechanical equivalent of spring constant \( \mathrm{k} \) in \( \mathrm{LC} \) oscillating circuit?
A \( \cdot \frac{1}{L} \)
в. \( \frac{1}{C} \)
c. \( \frac{L}{C} \)
D. \( \frac{1}{L C} \)
Subject: Physics
It takes 10 minutes to cool a liquid
from \( 61^{\circ} \mathrm{C} \) to \( 59^{\circ} . \) If room temperature
is \( 30^{\circ} C \) then time taken in cooling from
\( 51^{\circ} C \) to \( 49^{\circ} C \) is
A . 10 min
B. 11 min
c. 13 min
D. 15 min
Subject: Physics
A block of mass \( m=0.1 \mathrm{kg} \) is released
from a height of \( 4 \mathrm{m} \) a curved smooth
surface. On the horizontal surface path
AB is smooth and path BC offers
coefficient of friction \( \mu=0.1 . \) If the
impact of block with vertical wall at \( C \) be perfectly elastic, find the total
distance covered by the block on the horizontal surface before coming to
rest. (Take \( \left.\mathfrak{g}=10 \frac{m}{s^{2}}\right) \)
Subject: Biology
The diagram represents a stage during cell division. Answer the following.
i. Name the parts labelled 1,2
i. Identify the above stage and give a
reason to support your answer.
iii. Mention where in the body this type
of cell division occurs.
iv. Name the stage prior to this stage
and draw a diagram to represent the
same
v. Give any two difference between
mitosis and meiosis.
Subject: Chemistry
For an electrochemical reaction
occuring in a galvanic cell. \( \mathbf{2} \boldsymbol{F} \boldsymbol{e}_{(\boldsymbol{a q})}^{+\mathbf{3}}+\boldsymbol{Z} \boldsymbol{n}_{(s)} \rightarrow \boldsymbol{Z} \boldsymbol{n}_{(a q)}^{+2}+\mathbf{2} \boldsymbol{F} \boldsymbol{e}_{(a q)}^{+\mathbf{2}} \)
if concentration of \( F e^{+2} \) is increased.
A. \( E_{\text {cll}} \) will remain unchanged
B. \( E_{\text {cll}} \) will decrease
c. \( p H \) of the solution will change
D. less non P-V work will be obtained
Subject: Physics
A car travelling at a speed of \( 30 \mathrm{km} / \mathrm{h} \) is brought to a halt in \( 8 \mathrm{m} \) by applying brakes. If the same car is travelling at
\( 60 \mathrm{km} / \mathrm{h}, \) it can be brought to a halt with the same braking force in:
\( \mathbf{A} \cdot 8 m \)
в. 16 т
\( c \cdot 24 m \)
D. 32
Subject: Chemistry
A sample of 0.50 g 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 residue acid required \( 60 \mathrm{mL} \)
of 0.5 M solution of \( N a O H \) for
neutralisation. What would be the
percentage composition of nitrogen in the compound?
A. 50
B. 60
c. 56
D. 44
Subject: Physics
The maximum speed of a car on a road turn of radius \( 30 m, \) if the coefficient of
friction between the tyres and the road
is \( 0.4, \) will be
\( \mathbf{A} .9 .84 \mathrm{m} / \mathrm{s} \)
в. \( 10.84 \mathrm{m} / \mathrm{s} \)
c. \( 7.84 \mathrm{m} / \mathrm{s} \)
D. \( 5.84 \mathrm{m} / \mathrm{s} \)
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{A})=\frac{1}{2}, \boldsymbol{P}(\boldsymbol{B})=0, \) then \( \boldsymbol{P}(\boldsymbol{A} \mid \boldsymbol{B}) \)
is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. Not defined
D.
Subject: Maths
The vector \( \vec{a}+\vec{b} \) bisects the angles between the vectors \( \vec{a} \) and \( \vec{b} \) if
A. \( |\vec{a}|=1 \)
1 \( 1==1=1 \)
в. \( |\vec{b}|=1 \)
c. \( |\vec{a}|=\mid \vec{b} \)
D. \( \vec{a} \vec{b}=0 \)
Subject: Chemistry
The frequency of radiation emitted
when the electron falls from \( n=4 \) to
\( \boldsymbol{n}=\mathbf{1} \) in a hydrogen atom will be (Given
ionisation energy of \( \boldsymbol{H}=\mathbf{2 . 1 8} \times \)
\( 10^{-18} J a t o m^{-1} \) and \( h=6.626 \times \)
\( \left.10^{-34} J-s\right) \)
\( \mathbf{A} \cdot 1.54 \times 10^{15} s^{-1} \)
В. \( 1.03 \times 10^{15} s^{-1} \)
C \( .3 .08 \times 10^{15} s^{-1} \)
D. \( 2 \times 10^{15} s^{-1} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{ll}\boldsymbol{k} & \boldsymbol{l} \\ \boldsymbol{m} & \boldsymbol{n}\end{array}\right] \) then
find \( \boldsymbol{A B} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{2} & \mathbf{1} & \mathbf{0} \\ \mathbf{3} & \mathbf{2} & \mathbf{1}\end{array}\right] \) and \( \boldsymbol{U}_{1}, \boldsymbol{U}_{2}, \boldsymbol{U}_{3} \) be
column
matrices satisfying \( \boldsymbol{A} \boldsymbol{U}_{1}= \) \( \left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right], A U_{2}=\left[\begin{array}{l}2 \\ 3 \\ 0\end{array}\right], A U_{3}=\left[\begin{array}{l}2 \\ 3 \\ 1\end{array}\right] . \) If \( U \) is
\( 3 \times 3 \) matrix whose columns are
\( \boldsymbol{U}_{1}, \boldsymbol{U}_{2}, \boldsymbol{U}_{3}, \) then \( |\boldsymbol{U}|= \)
A . 3
B. -3
\( c \cdot \frac{3}{2} \)
\( D \)
Subject: Physics
Veena's car radio will run from a \( 12 \vee \) car
battery that produces a current of 0.20 A even when the car engine is turned off The car battery will not longer operate when it has lost \( 1.2 \times 10^{6} J \) of energy. If
Veena gets out of the car, leaving the radio on by mistake, how long will it
take for the car battery to go completely dead, i.e., lose all energy?
Subject: Physics
Assertion: Different colours travel with
different speed in vacuum.

Reason: Wavelength of light depends on refractive index of medium.
A. Both assertion and reason are true but the reason is the correct explanation of assertion
B. Both assertion and reason are true but the reason is not the correct explanation of assertion
c. Assertion is true but reason is false
D. Both the assertion and reason are false
E. Reason is true but assertion is false
Subject: Maths
Let \( f \) and \( g \) be differentiable functions
on \( R \) such that fog is the identify
function. If for some \( a, b, \epsilon R, g^{\prime}(a)=5 \)
and \( g(a)=b, \) then \( f^{\prime}(b) \) is equal to
A \( \cdot \frac{1}{5} \)
B. 5
\( c \cdot 1 \)
D.
Subject: Physics
Assertion
Intrinsic semiconductors are undoped
Reason

Holes in the valence band are vacancies
created by electrons that have been thermally excited to the conduction
band
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
The function \( \frac{\sin (x+\alpha)}{\sin (x+\beta)} \) has no
maximum or minimum if (k an integer)
A. \( \beta-\alpha=k \pi \)
B. \( \beta-\alpha \neq k \pi \)
c. \( \beta-\alpha=2 k \pi \)
D. none of the above
Subject: Physics
Two stretched wires of same length,
diameter and same material are in
unison. The tension in one is increased
by \( 2 \% \) and 2 beats per second are heard What was the frequency of the note produced when they were in unison
A . \( 100 \mathrm{Hz} \)
в. \( 200 H z \)
c. \( 500 H z \)
D. \( 400 H z \)
Subject: Chemistry
The relation \( \left[\boldsymbol{H}^{+} \boldsymbol{O}\right]=\frac{\boldsymbol{K} \boldsymbol{w}}{\left[\boldsymbol{H}_{3} \boldsymbol{O}^{+}\right]}+ \)
\( [\boldsymbol{H} \boldsymbol{C l}]_{0} \) for an aqueous solution of \( \boldsymbol{H} \boldsymbol{C l} \)
can be reduced to:
This question has multiple correct options
\( \mathbf{A} \cdot\left[H_{3} O^{+}\right]=[H C l]_{0} \quad \) if \( \quad\left[H_{3} O^{+}\right] \geq 10^{-6} \)
\( ^{\mathrm{B}}\left[H_{3} O^{+}\right]=[H C l]_{0} \quad \) if \( \quad \frac{K_{w}}{\left[H_{3} O^{+}\right]} \geq 10^{-8} \)
\( \left[H_{3} O^{+}\right]=\frac{[H C l]_{0} \pm \sqrt{[H C l]_{0}^{2}+4 K_{w}}}{2} i f \quad\left[H_{3} O^{+}\right] \leq \)
\( 10^{-6} \)
\( \mathbf{D} \cdot\left[H_{3} O^{+}\right]=[H C l]_{0} \quad \) if \( \quad[H C l]_{0} \geq 10^{-6} \)
Subject: Chemistry
The product \( ^{\prime} \boldsymbol{A}^{\prime} \) is:
A \( \cdot C_{6} H_{5} C O C H_{3} \)
В \( \cdot C_{6} H_{5} \) СС
\( \mathbf{c} \cdot C_{6} H_{5} C H O \)
D. \( C_{6} H_{5} O H \)
Subject: Physics
A steamer plies between two stations \( \boldsymbol{A} \)
and \( B \) on opposite banks of a river, always following the path \( A B \). The
distance between stations \( A \) and \( B \) is
1200 \( m \). The velocity of the current is \( \sqrt{17} m s^{-1} \) and is constant over the
maim width of the river. The line \( A B \)
makes an angle \( 60^{\circ} \) with the direction
of the flow. The steamer takes 5 min to
cover the distance \( A B \) and back.
a. Find the velocity of steamer with
respect to water.
b In what direction should the steamer
move with respect to line \( \boldsymbol{A B} \) ?
Subject: Maths
\[
\begin{array}{c}
\operatorname{Let}\left|\begin{array}{ccc}
a^{2}+1 & a b & a c \\
a b & b^{2}+1 & b c \\
a c & b c & c^{2}+1
\end{array}\right|=k+ \\
a^{2}+b^{2}+c^{2}
\end{array}
\]
then \( 4 k \) is
Subject: Chemistry
Assertion
Carbon has ability to form long carbon
chains.
Reason
Carbon has a unique property of ability to form long straight and branched
chains called catenation.
Read the assertion and reason carefully
and answer the question on the basis of following options. You have to select the
one that best describes the two
statements.
A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. If Assertion is correct but Reason is incorrect
D. If Assertion is incorrect but Reason is correct.
Subject: Chemistry
An organic compound of molecular
formula \( C_{3} H_{6} O \) did not give a silver
mirror with Tollen's reagent, but gave an oxime with hydroxylamine, it may be:
A \( \cdot C H_{3} C O C H_{3} \)
в. \( C_{2} H_{5} C H O \)
c. \( C H_{2}=C H-C H_{2}-O H \)
D. \( C H_{3}-O-C H=C H_{2} \)
Subject: Physics
A helicopter lifts a 72 kg astronaut, 15
\( m \) vertically from the ocean by means of
a cable. The acceleration of the
astronaut is \( g / 10 . \) What is the velocity of astronaut? \( \left(\boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2}\right) \)
\( \mathbf{A} \cdot 54.2 m s^{-1} \)
B. \( 5.42 \mathrm{ms}^{-1} \)
c. \( 6.42 m s^{-1} \)
D. \( 542 m s^{-1} \)
Subject: Physics
In a clockwise system:
\( \mathbf{A} \cdot \hat{k} \times \hat{j}=\hat{i} \)
\( \mathbf{B} \cdot \hat{i} \cdot \hat{i}=0 \)
c. \( \hat{j} \times \hat{j}=\hat{i} \)
D. \( \hat{k} \cdot \hat{j}=1 \)
Subject: Chemistry
Two samples were weighed using different balance and the following data were obtained.
Sample \( \# 1=3.719 \) grams Sample \( \# 2=0.42 \) gram The total mass of the samples should be reported as:
A. 4 grams
B. 4.1 grams
c. 4.139 grams
D. 4.14 grams
E. 4.140 grams
Subject: Chemistry
When \( 100 m l \) of \( 0.06 m \mathrm{Fe}\left(N O_{3}\right)_{3}, 50 m l \)
of \( 0.2 m l F e C l_{3} \) and \( 100 m l \) of
\( 0.26 m m g\left(N O_{3}\right)_{2} \) are mixed, then
calculate molarity of reaction in final solution.
Subject: Maths
If \( \frac{3 \pi}{2} \leq x \leq \frac{5 \pi}{2}, \) then \( \sin ^{-1}(\sin x) \) is
equal to-
\( A \)
B. \( -x \)
c. \( 2 \pi-x \)
D. \( x-2 \pi \)
Subject: Chemistry
The prussian blue colour obtained during the test of nitrogen by Lassaigne's test is due to the formation of:
\( \mathbf{A} \cdot F e\left[F e(C N)_{6}\right]_{3} \)
B. \( F e\left[F e(C N)_{6}\right] \)
\( \mathbf{c} \cdot F e(C N)_{3} \)
D. \( N a_{4}\left[F e(C N)_{5}\right] \) NOS
Subject: Physics
A conductor \( A B \) of length \( l \) moves in \( x-y \) plane with velocity \( \overrightarrow{\boldsymbol{v}}=\boldsymbol{v}_{0}(\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}) \cdot \boldsymbol{A} \)
magnetic field \( \vec{B}=B_{0}(\hat{i}+\hat{j}) \) exists in the region. The induced emf is
A . zero
в. \( 2 B_{0} \) lv \( _{0} \),
c. \( B_{0} l v_{0} \)
D. \( \sqrt{2} B_{0} l v_{0} \)
Subject: Maths
The equation of the ellipse whose equation of directrix is \( 3 x+4 y-5=0 \)
coordinates of the focus are (1,2) and the eccentricity is \( \frac{1}{2} \) is \( 91 x^{2}+84 y^{2}- \)
\( 24 x y-170 x-360 y+475=0 \)
A. True
B. False
Subject: Chemistry
What is the percentage hydrolysis of \( N a C N \) in \( \frac{N}{80} \) solution when
the dissociation constant for \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \) in
the solution is \( 1.3 \times 10^{-9} \) and \( K_{w} \) is
\( 1.0 \times 10^{-14} ? \)
\( \mathbf{A} \cdot 2.48 \% \)
B. \( 5.26 \% \)
c. \( 8.20 \% \)
D. \( 9.60 \% \)
Subject: Chemistry
Which of the following complexes is/are correctly matched with their geometries? This question has multiple correct options
A \( \cdot\left[\mathrm{CoCl}_{4}\right]^{2-}- \) tetrahedral
B . \( \left[\mathrm{Co}\left(\mathrm{PMe}_{3}\right)_{4}\right]- \) tetrahedral
C \( \cdot\left[C u(C N)_{4}\right]^{3-}- \) tetrahedral
D. \( \left[F e(C O)_{4}\right]^{2-}- \) square planar
Subject: Maths
The area of the region bounded by the
curves \( \boldsymbol{y}=\mathbf{2}^{x}, \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\boldsymbol{x}^{2} \) and \( \boldsymbol{x}=\mathbf{2} \)
is
A \( \cdot \frac{3}{\log 2}-\frac{4}{3} \)
в. \( \frac{3}{\log 2}-\frac{4}{9} \)
c. \( \frac{3}{2}-\frac{\log 2}{9} \)
D. None of these
Subject: Physics
If a particle of mass m moving with
velocity \( v_{1} \) is subject to an impulse \( I \)
which produces a final velocity \( v_{2}, \) then
\( \boldsymbol{I} \) is given by :
B. \( m\left(v_{1}+v_{2}\right) \)
c. \( m\left(v_{2}-v_{1}\right) \)
D. \( \frac{m\left(v_{2}^{2}-v_{1}^{2}\right)}{2} \)
Subject: Physics
The stress \( (y) \) and the strain \( (x) \) are measured for a wire by adding loads to one end of the wire and the other end suspended. They follow an equation \( y=3 x+1 \) from \( x=0 \) to 3 and \( y=-4(x- \)
3) \( ^{2}+10 \) for \( x>3 \). In which region is
Hooke's law valid
A \( . x=0 \) to 3
B. \( x=3 \)
\( c \cdot x>3 \)
D. for all values of \( x \)
Subject: Chemistry
\( H_{2} \) is not widely used as the reducing agent in metallurgic process because:
This question has multiple correct options
A. many metals react with \( H_{2} \) at elevated temperature forming hydrides
B. there is a risk of explosion from \( H_{2} \) and \( O_{2} \) present in the air
C . reducing power of \( H_{2} \) does not increase with temperature
D. reducing power of \( H_{2} \), increases with temperature
Subject: Maths
Assertion
STATEMENT 1: Let \( \boldsymbol{f}(\boldsymbol{x})= \) \( \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right), f^{\prime}(2)=-\frac{2}{5} \)
Reason
STATEMENT
\( 2: \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)=\pi \)
\( 2 \tan ^{-1} x \forall x>1 \)
A. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT
B. Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT 1
C. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE
D. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE
Subject: Physics
A man standing on the edge of a cliff throws a stone straight up with initia speed \( u \) and then throws another stone
straight down with same initial speed \( u \)
from the same position. Find the ratio of speeds, the stones would have attained
when they hit the ground at the base of the cliff?
A . 2: 1
B. 1: 2
c. 1: 1
D. 3: 1
Subject: Maths
Pankaj is planning lunch for his wedding anniversary. At one restaurant, the cost per person for lunch is \( \$ 15 \) with an additional one-time set-up
charge of \( \$ 35 . \) Pankaj has a maximum
budget of \( \$ 150 . \) If \( p \) represents the
number of people (including Pankaj) who will attend the lunch, which of the
following inequalities represents the number of people who can attend within
budget?
A. \( 15 p \leq 150+35 \)
B. \( 35 \leq 150-15 p \)
c. \( 15 p \geq 150-35 \)
D. \( 35 \geq 150-15 p \)
Subject: Chemistry
Zinc sulphate contains \( 22.65 \% \mathrm{Zn} \) and
\( 43.9 \% H_{2} O . \) If the law of constant
proportions is true, then the mass of zinc required to give 40 g crystals will be:
A. 90.68
B. \( 9.06 g \)
c. \( 0.906 \mathrm{g} \)
D. 906 g
Subject: Physics
The gravitational potential difference between the surface of a planet and a
point \( 20 m \) above the surface is
2Joule/Kg. If the gravitational field is uniform then the work done in carrying a \( 5 K g \) body to a height of \( 4 m \) above the
surface is
A . 2 Joule
в. 20Joule
c. 40 Joule
D. 10 Joule
Subject: Physics
Three equal charges, each having a
magnitude of \( 2.0 \times 10^{-6} C \) are placed
at the three corners of a right angled triangle of sides \( 3 \mathrm{cm}, 4 \mathrm{cm} \) and \( 5 \mathrm{cm} \) The force (in magnitude) on the charge
at the right angled corner is :
\( A .50 N \)
B . \( 26 N \)
\( \mathbf{c} \cdot 29 N \)
D. 45.9 N
Subject: Maths
If \( A \) is an invertible matrix of order 2
then \( \operatorname{det}\left(A^{-1}\right) \) is equal to
\( \mathbf{A} \cdot \operatorname{det}(A) \)
B. \( \frac{1}{\operatorname{det}(A)} \)
\( c .1 \)
D. 0
Subject: Chemistry
Identify the compounds \( (X),(Y) \) and
\( (Z) \) by making an appropriate choice. \( \boldsymbol{C H}_{3} \boldsymbol{B r} \frac{M \boldsymbol{g} / \text {ether}}{\boldsymbol{x}} \boldsymbol{X} \frac{(\boldsymbol{i}) C \boldsymbol{O}_{2}}{(i i) w a t e r} \)
\( \frac{C H_{3} O H, H^{+}}{\Delta} Z \)
A \( \cdot(X)=C H_{3} M g B r(Y)=C H_{3} C O O H,(Z)= \)
\( C H_{3} C O O C H_{3} \)
B . \( (X)=C H_{3} C H_{2} B r,(Y)=C H_{3} C H_{2} O H,(Z)= \)
\( C H_{3} C H_{2} C H_{2} C H_{3} \)
C \( \cdot(X)=C H_{3} C H_{2} M g B r,(Y)= \)
\( C H_{3} C H_{2} C O O H,(Z)=C H_{3} C H_{2} C O C H_{3} \)
D . \( (X)=C H_{3} C O O H,(Y)=C H_{3} C H_{2} C O C H_{3},(Z)= \)
Subject: Physics
During a planned manoeuvre in a space flight, a free-floating astronaut \( A \) pushes another free floating astronaut
B, the mass of A being greater than that of B. Then, the magnitude of the force
exerted by astronaut A on astronaut B is:
A. equal to zero
B. equal to the force exerted by B on A
c. greater than the force exerted by B on A
D. less than the force exerted by B on A
Subject: Physics
Assertion
A liquid will flow faster and more
smoothly from a sealed can when two
holes are punched in the can than when
one hole is punched.
Reason
The flow becomes streamlined with two
holes rather than with one hole.
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
Which of the following reactions is taking place resulting in discolouration of marble of the buildings like Taj Mahal?
A \( \cdot C a C O_{3}+H_{2} S O_{4} \rightarrow C a S O_{4}+H_{2} O+C O_{2} \)
в. \( C a C O_{3}+H C l \longrightarrow C a C l_{2}+H_{2} O+C O_{2} \)
\( \mathrm{c} \cdot \mathrm{CaCO}_{3}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{Ca}(O \mathrm{H})_{2}+\mathrm{CO}_{2} \)
D. \( \operatorname{CaCO}_{3} \rightarrow \) СаО \( + \) СО \( _{2} \)
Subject: Physics
A radioactive nuclide X decays into nuclei Y and Z by simultaneous disintegration as shown.Effective decay constant for the disintegration is
\( A \cdot \lambda_{1}+\lambda_{2} \)
B. \( \frac{\lambda_{1} \lambda_{2}}{\lambda_{1}+\lambda_{2}} \)
\( c \cdot \frac{\lambda_{1}+\lambda_{2}}{2} \)
D. \( \frac{2 \lambda_{1} \lambda_{2}}{\lambda_{1}+\lambda_{2}} \)
Subject: Maths
If \( y=\sin \left(m \sin ^{-1} x\right) \) then
\( \left(1-x^{2}\right) y^{\prime \prime}-x y^{\prime} \) is equal to
A \( \cdot m^{2} y \)
в. \( m y \)
c. \( -m^{2} y \)
D. None of these
Subject: Physics
The volume of a gas at \( 27^{\circ} \mathrm{C} \) and
2 atmospheric pressure is 2 litres. If the pressure is doubled and absolute
temperature is made half, the new volume of gas is
\( A \cdot 50 m \)
B. 500 m1
c. \( 1000 \mathrm{ml} \)
D. 2000 ml
Subject: Chemistry
What would be the value of \( \triangle \boldsymbol{n}_{g} \) for the
reaction?
\( N H_{4} C l_{s} \rightleftharpoons N H_{3(g)}+H C l_{(g)} \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 0.5
c. 1.5
D.
Subject: Biology
Study the following lists.
ListList-II
(A) A piece of underground
(I) Mentha food branches store
(B) Underground branches grow obliquely upward from
(II) Hydrocotyl the axillary buds of nodes of the stem below the soil.
(III) Agave and produce
(C) Aerial branches grow adventitious yownwards. \( \quad \) roots after obliquely o touching the soil
(V) Stachys and
(D) Weak stemmed plants \( \quad \) roots at every have a cluster of leaves.
(V) Jasminum
\( A \cdot A-(111), B-(1 V), C-(11), D-(1) \)
B. A- (IV), B- (V), C- (III), D- (II)
C. \( A-(1 V), B-(1), C-(V), D-(11) \)
D. \( A-(11), B-(V), C-(1), D-(1) \)
Subject: Physics
A particle of charge \( \boldsymbol{q}=\mathbf{1 6} \times \mathbf{1 0}^{-18} \mathbf{C} \)
moving with \( 10 m s^{-1} \) along \( x- \) axis
enter a magnetic field of induction \( \boldsymbol{B} \) along the \( y- \) axis and an electric field \( 10^{4} \mathrm{Vm}^{-1} \) along negative \( z- \) direction. If
the particle continues to move along \( x- \) axis then the strength of magnetic field is
\( \mathbf{A} \cdot 10^{5} \mathrm{Wbm}^{-2} \)
B. \( 10^{16} \mathrm{wbm}^{-2} \)
c. \( 10^{-3} \mathrm{wbm}^{-2} \)
D. \( 10^{3} \mathrm{wbm}^{-2} \)
Subject: Physics
If the angle of banking of a road is \( 32^{\circ} \)
and if a turn has radius \( 72 m, \) what is
the maximum speed at which a car can turn, given the coefficient of friction between the car tyres and the road is \( \mathbf{0 . 3 4} ?(\operatorname{in} \mathbf{m} / \mathbf{s}) \)
A . 29.4
B. 26.3
c. 21.3
D. 62.3