AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Three forces \( \overrightarrow{\boldsymbol{A}}=\{\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}\}, \overrightarrow{\boldsymbol{B}}= \)
\( \{2 \hat{i}-\hat{j}-3 \hat{k}\} \) and \( \vec{C} \) acting on a body
To keep it in the equilibrium, the value of \( \vec{C} \) is:
\( \mathbf{A} \cdot-\{3 \hat{i}-2 \hat{k}\} \)
B . \( -\{2 \hat{i}-3 \hat{k}\} \)
c. \( 3 \hat{i}+4 \hat{j} \)
D. \( 2 \hat{i}-3 \hat{k} \)
Subject: Physics
A force \( F=10 \sqrt{2} N \) acts an angle of
\( 45^{\circ} \) above the horizontal on a \( 2 k g \) block
placed on a rough horizontal surface. The coefficient of friction between the
block and surface is 0.2 Find the work
done by the force \( F \) on the block in \( 5 s \)
initially the block is at rest. [Take \( g= \)
\( \left.\mathbf{1 0} / \boldsymbol{s}^{2}\right] \)
\( \mathbf{A} \cdot 250 J \)
В. \( 2500 J \)
c. \( 500 J \)
D. \( 50 J \)
Subject: Physics
Melting point of Aluminium is:
\( \mathbf{A} \cdot 1000^{\circ} \mathrm{C} \)
B . \( 659^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 1500^{\circ} \mathrm{C} \)
D. \( 100^{\circ} \mathrm{C} \)
Subject: Chemistry
State whether the given statement is
true or false:

A solution of a substance \( X \) is used for
white washing. The reaction of the
substance \( X \) is with water is:
\( \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightarrow \)
Calcium oxide
\( \boldsymbol{C} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{2}(\boldsymbol{a} \boldsymbol{q}) \)
Calcium hydroxide
A. True
B. False
Subject: Maths
The median of the following distribution
is
\( 35 . \) Find the value of \( a \) and \( b \)
\( \begin{array}{ll}\text { Class - Interval } & \text { Number of Workers } \\ \text { 0-10 } & 10 \\ \text { 10-20 } & \text { 20 } \\ \text { 20-30 } & \text { a } \\ \text { 30-40 } & \text { 40 } \\ \text { 40-50 } & \text { b } \\ \text { 50-60 } & \text { 25 } \\ \text { 60-70 } & \text { 15 } \\ \text { Total } & \text { 170 }\end{array} \)
Subject: Maths
Two cards are drawn successively with replacement from a well-shuffled pack
of 52 cards. The probability of drawing
two aces is.
A \( \cdot \frac{1}{13} \)
В \( \cdot \frac{1}{13} \times \frac{1}{17} \)
c. \( \frac{1}{52} \times \frac{1}{51} \)
D. \( \frac{1}{13} \times \frac{1}{13} \)
Subject: Physics
Every atom makes one free electron in
copper. If 1.1 ampere current is flowing in the wire of copper having \( 1 \mathrm{mm} \) diameter, then the drift velocity
(approx) will be (density of copper \( =9 \times \)
\( 10^{3} k g / m^{3} \) and atomic weight of copper
\( =\mathbf{6 3}) \)
A. \( 0.1 m m / s \)
B. \( 0.2 \mathrm{mm} / \mathrm{s} \)
\( \mathbf{c} \cdot 0.3 m m / s \)
D. \( 0.2 c m / s \)
Subject: Maths
Three candidates solve a question. Odds
in favour of the correct answer are 5 :
2,4: 3 and 3: 4 respectively for the three candidates. What is the
probability that at least two of them solve the question correctly?
A \( \cdot \frac{209}{343} \)
в. \( \frac{134}{343} \)
c. \( \frac{149}{343} \)
D. \( \frac{60}{343} \)
Subject: Chemistry
Statement- - I: The addition of ammonia
derivatives on carbonyl compound is carried in weakly acidic medium. Statement- II : In weakly acidic medium attacking nuclephile is also protonated.
A. Both the statements are true and statement-ll is the correct explanation of statement-I.
B. Both statements are true but statement-ll is not the correct explanation of statement-I.
c. statement-l is true but statement-ll is false
D. Statement-I is false but statement-II is true.
Subject: Physics
A ring of mass \( m \) sliding on a smooth
surface with velocity \( v_{0} \) enters rough surface with coefficient of kinetic
energy \( \mu_{k}, \) then
A. The linear distance moved by centre of mass before the riong starts pure rolling is \( \frac{3 v_{0}^{2}}{8 \mu_{k} g g_{0}^{2}} \)
B. The gain in kinetic energy is \( \frac{m v_{0}^{2}}{8} \)
C. The loss in kinetic energy is \( \frac{m v_{0}^{2}}{4} \)
D. The work done by friction force is \( -\frac{3 m v_{0}^{2}}{8} \)
Subject: Maths
\( \frac{x^{2}+3 x+5}{(x+1)(x+2)(x+3)}= \)
\( \frac{\boldsymbol{A}}{(\boldsymbol{x}+\mathbf{1})}+\frac{\boldsymbol{B}}{(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}+\mathbf{2})}+ \)
\( \frac{c}{(x+1)(x+2)(x+3)} \) then ascending
order of \( A, B, C \) is
\( A \cdot B, A, C \)
B. A, B, C
c. \( c, A, B \)
D. B, C, A
Subject: Maths
In the adjoining figure, find the
measure of \( \angle B A C, \) if \( \angle A B D=\angle C A D \)
and \( \angle B A D=\angle A C D \)
A \( \cdot 120^{\circ} \)
В. \( 60^{\circ} \)
\( c \cdot 75^{\circ} \)
D. \( 90^{\circ} \)
Subject: Physics
A steel wire of length \( 60 \mathrm{cm} \) and area of
\( \operatorname{cross} \operatorname{section} 10^{-6} m^{2} \) is joined with an
aluminium wire of length \( 45 \mathrm{cm} \) and
area of cross section \( 3 \times 10^{-6} m^{2} . \) The
composite string is stretched by a tension of \( 80 N . \) Density of steel is
\( 7800 k g m^{-3} \) and that of aluminium is
\( 2600 k g m^{-3} . \) The minimum frequency of tuning fork, which can produce standing wave in it with node at the joint is
A. \( 357.3 \mathrm{Hz} \)
В. \( 375.3 \mathrm{Hz} \)
\( \mathbf{c} .337 .5 \mathrm{Hz} \)
D. \( 325.5 \mathrm{Hz} \)
Subject: Chemistry
Statement 1: An increase in entropy
leads to an increase of randomness.
Statement 2: The lower energy state of ordered crystals has a high entropy.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is not the correct explanation of Statement 1.
c. Statement 1 is correct, but Statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
Subject: Physics
If \( \mu_{s}, \mu_{k} \) and \( \mu_{r} \) are coefficient of static
friction, sliding friction and rolling friction, then
A \( \cdot \mu_{s}<\mu_{k}<\mu_{r} \)
B . \( \mu_{k}<\mu_{r}<\mu_{s} \)
c. \( \mu_{r}<\mu_{k}<\mu_{s} \)
D. \( \mu_{r}=\mu_{k}=\mu_{s} \)
Subject: Physics
toppr OGII
Q Type your question_
What is an
centered on point \( P \)
The segments are connected by straight
wires as shown, and an unseen source
of EMF creates a constant
counterclockwise current in the wire.
What is the direction of the magnetic
field created at point \( P \) due to each wire
segment?
A. Both segments 1 and 2 create magnetic field that is into the page at point \( P \)
B. Both segments 1 and 2 create magnetic field that is out of the page at point \( P \)
c. Segment 1 creates magnetic field that is out of the page; Segment 2 creates magnetic field that is into the page at point P.
D. Segment 1 creates magnetic field that is into the page:
Segment 2 creates magnetic field that is out of the page at point P.
Subject: Chemistry
Arid soil is formed in western
Rajasthan. Its main features are:
I. Arid soils range from red to yellow in colour.
II. They are generally sandy and saline.
III. Humus and moisture content is very low due to dry climate and faster evaporation.
IV. Thorny bushes are found in this region
B. Only II and III
c. only I, II and i v
D. Only II, III and IV
Subject: Maths
\( \boldsymbol{A}=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right|= \)
A . \( x y \)
в. \( x+y \)
c \( . x-y \)
D. \( x^{2} y^{2} \)
Subject: Chemistry
\( k_{c} \) for the reaction \( N_{2} O_{4}(g) \leftrightharpoons 2 N O_{2} \) is
\( 4.63 \times 10^{-3} \) at \( 25^{\circ} C \)
a. what is the value of \( \boldsymbol{K}_{\boldsymbol{p}} \) at this
temperature
b. \( A t ~ 25^{\circ} C, \) if the partial pressure of
\( N_{2} O_{4}(g) \) at equilibrium is 0.2 at \( m \) calculate equilibrium pressure of
\( N O_{2}(g) \)
Subject: Physics
The resultant of two vectors \( \vec{P} \) and \( \vec{Q} \) is
\( \vec{R} \) If \( \vec{Q} \) is doubled then the new resultant vector is perpendicular to \( \vec{P} \) Then magnitude of \( \overrightarrow{\boldsymbol{R}} \) is:
\( ^{\mathbf{A}} \cdot \frac{P^{2}-Q^{2}}{2 P Q} \)
в. \( Q \)
c. \( \frac{P}{Q} \)
D. \( \frac{P+Q}{P-Q} \)
Subject: Maths
Write the following in decimal form and say what kind of decimal expansion
each has:
(i) \( \frac{\mathbf{3 6}}{\mathbf{1 0 0}} \)
(ii) \( \frac{\mathbf{1}}{\mathbf{1 1}} \)
(iii) \( 4 \frac{1}{8} \)
(iv) \( \frac{\mathbf{3}}{\mathbf{1 3}} \)
\( \mathbf{2} \)
(vi) \( \frac{329}{400} \)
\( \overline{\mathbf{1 1}} \)
Subject: Maths
Consider the function \( f(x)=0.75 x^{4}- \)
\( x^{3}-9 x^{2}+7 \)
Consider the following statements:
1. The function attains local minima at
\( x=-2 \) and \( x=3 \)
2. The function increases in the interval
(-2,0)
Which of the above statements is/are
correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor
Subject: Chemistry
Identify product \( \mathrm{D} \) in the following
reaction sequence:
\[
\begin{array}{l}
\boldsymbol{C H}_{\boldsymbol{3}}- \\
\boldsymbol{C H}_{3} \\
\dot{\boldsymbol{C}}-\boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{O} \boldsymbol{H} \frac{\boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} ; \boldsymbol{H}_{2} \boldsymbol{S O}_{4}}{\boldsymbol{H}_{2} \boldsymbol{O} \text { heat }}
\end{array}
\]
\( \boldsymbol{A} \stackrel{\boldsymbol{S O C l}_{2}}{\longrightarrow} \boldsymbol{B} \frac{\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H}}{(\boldsymbol{2} \boldsymbol{m o l e})} \)
\[
C \frac{1 . \text { LiAl } H_{4} \text { diethyl ether }}{2 . H_{2} O} D
\]
A. \( \quad C H_{3} \)
\[
C H_{3} C C H_{2} C \equiv N
\]
\[
\begin{array}{c}C C \\ C H_{3}\end{array}
\]
B.
\[
\begin{array}{c}
C H_{3} \\
C H_{3} C C H_{2} C H_{2} N\left(C H_{3}\right)_{2} \\
C H_{3}
\end{array}
\]
\( c \)
\[
\begin{array}{c}
C H_{3} \quad N\left(C H_{3}\right)_{2} \\
C H_{3} C C H_{2} C H N\left(C H_{3}\right)_{2} \\
C H_{3}
\end{array}
\]
Subject: Maths
If \( \boldsymbol{A}=(\mathbf{3}-\mathbf{4} \boldsymbol{i}) \) and \( \boldsymbol{B}=(\mathbf{9}+\boldsymbol{k} \boldsymbol{i}), \) where
\( k \) is a constant.
If \( A B-15=60, \) then the value of \( k \) is
\( \mathbf{A} \cdot \mathbf{6} \)
B . 24
c. 12
D. 3
Subject: Physics
The distance of a galaxy from the earth is of the order of \( 10^{25} \) m. The time taken
by light to reach the earth from the galaxy is
A. \( 3 \times 10^{14} \) s
B . \( 3 \times 10^{16} \) s
c. \( 3 \times 10^{18} \mathrm{s} \)
D. \( 3 \times 10^{20} \mathrm{s} \)
Subject: Physics
A \( 70 \mathrm{kg} \) astronaut in a \( 110 \mathrm{kg} \) MMU experiences an acceleration of 0.029
\( \mathrm{ms}^{-2} \) when he fires one of the MMU's
thrusters, if the speed of escaping \( N_{2} \) gas is \( 490 \mathrm{ms}^{-1} \), how much amount of
gas is used in 5 s.
A. \( 5.53 g \)
в. \( 5.53 k g \)
c. \( 555.3 g \)
D. \( 55.3 g \)
Subject: Physics
A 5000 kg rocket is set for vertical
firing. The exhaust speed is \( 800 \mathrm{ms}^{-1} \)
To give an upward acceleration of \( 20 \mathrm{ms} \)
\( -2, \) the amount of gas ejected per second to supply the needed thrust is \( \left(g=10 m s^{-2}\right) \)
A . \( 127.5 \mathrm{kg} \mathrm{s}^{-1} \)
B . \( 137.5 \mathrm{kg} \mathrm{s}^{-1} \)
c. \( 187.5 \mathrm{kg} \mathrm{s}^{-1} \)
D. \( 185.5 \mathrm{kg} \mathrm{s}^{-1} \)
Subject: Maths
Find the median for the following data
shows that distance covered by 200
people to perform their IT project.
\( \begin{array}{ccc}\mathbf{5}- & \mathbf{1 5}- & \mathbf{2 5}- \\ \mathbf{1 5} & \mathbf{2 5} & \mathbf{3 5}\end{array} \) Distance(km)
Number of people 60 40
A. \( 12 \mathrm{km} \)
B. \( 13 \mathrm{km} \)
\( \mathbf{c} .14 \mathrm{km} \)
D. \( 15 \mathrm{km} \)
Subject: Physics
An alternating emf given by equation \( \boldsymbol{E}=\mathbf{3 0 0} \sin [(\mathbf{1 0 0} \boldsymbol{\pi}) \boldsymbol{t}] \) volt is applied to
a resistance 100 ohms. The rms current
through the circuit is (in amperes):
\( ^{A} \cdot \frac{3}{\sqrt{2}} \)
в. \( \frac{9}{\sqrt{2}} \)
\( c \cdot 3 \)
D. \( \frac{6}{\sqrt{2}} \)
Subject: Maths
If \( f(x) \) is a polynomial function and
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})>\boldsymbol{f}(\boldsymbol{x}), \forall \boldsymbol{x} \geq 1 \) and \( \boldsymbol{f}(1)=\mathbf{0} \)
then
A. \( f(x) \geq 0, \forall x \geq 1 \)
B. \( f(x)<0, \forall x \geq 1 \)
c. \( f(x)=0, \forall x \geq 1 \)
D. None of the above
Subject: Physics
Assertion
Diamagnetism is universal, it is
present in all materials.
Reason
Field due to induced magnetic moment is opposite to the magnetising field.
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
Let \( f(x) \) be a real valued function not
identically zero, such that
\( \boldsymbol{f}\left(\boldsymbol{x}+\boldsymbol{y}^{n}\right)=\boldsymbol{f}(\boldsymbol{x})+(\boldsymbol{f}(\boldsymbol{y}))^{n} \quad \forall \boldsymbol{x}, \boldsymbol{y} \in \)
\( \boldsymbol{R} \)
where \( n \in N(n \neq 1) \) and \( f^{\prime}(0) \geq 0 . \) We
may get an explicit form of the function \( \boldsymbol{f}(\boldsymbol{x}) \)
The value of \( \$ \$ f^{\prime}(0) \$ \$ f^{\prime}(0) \) is :
A.
B. \( n \)
c. \( n+1 \)
D. 2
Subject: Physics
An accumulator battery (storage cell)
of emf \( \mathrm{E} \) and internal resistance \( \mathrm{r} \) is
being charged from a DC supply whose
terminals are \( T_{1} \) and \( T_{2} \)
This question has multiple correct options
A. potential difference between \( T_{1} \) and \( T_{2} \) must be \( >E \)
B. \( T_{1} \) must be positive with respect to \( T_{2} \)
\( \mathrm{c} \). in the battery, current flows from the positive to the negative terminal
D. all the above options are incorrect
Subject: Physics
The average power transmitted through a given point on a string with a sine wave is 0.40 watt, when the amplitude of the wave is \( 2 \mathrm{mm} \). What average
power will be transmitted through this point its amplitude is increased to 4
\( \mathrm{mm} \)
A. 0.40 watt
B. 0.80 watt
c. 1.2 watt
D. 1.6 watt
Subject: Chemistry
A. Its main component is methane and
is used as a fuel in motor cars.
B. It is used as the raw material for
manufacturing of fertilizers.
C. It is an inexhaustible natural source.
\( A \cdot A, B \)
B. \( B, C \) and \( D \)
\( c \cdot c, D \) and \( A \)
\( D \cdot D, A \) and \( B \)
Subject: Chemistry
One mole of an ideal gas at \( 300 \mathrm{K} \) is
heated at constant volume \( \left(V_{1}\right) \) until its temperature is doubled, then it is
expanded isothermally till it reaches the original the pressure. Finally, the gas is cooled at the constant pressure till system reached to the half of original volume \( \left(\frac{V_{1}}{2}\right) . \) Determine the total work done \( (\boldsymbol{w}) \) in calories. [Use \( \boldsymbol{\operatorname { l n }} \mathbf{2}=\mathbf{0 . 7 0 , 0} \boldsymbol{R}=\mathbf{2} \mathbf{c a l} \mathbf{K}^{-\mathbf{1}} \boldsymbol{m o l}^{-1} \mathbf{j} \)
Subject: Physics
There is a small black dot at the centre
\( C \) of a solid glass sphere of refractive index \( \mu . \) When seen from outside, comment on the location of the dot.
A. away from \( C \) for all values of \( \mu \)
B. at \( C \) for all values of \( \mu \)
\( \mathbf{c} . \) at \( C \) for \( \mu=1.5, \) but away from \( C \) for \( \mu \neq 1.5 \)
D. at \( C \) only for \( \sqrt{2} \leq \mu \leq 1.5 \)
Subject: Physics
\( A B C \) is a frictionless circular track of
radius \( R \). A particle of mass \( m \) kg is
released from point \( \boldsymbol{P}(\boldsymbol{O P}=\boldsymbol{R} / \mathbf{2}) \)
After collision with the track, particle moves along the track, then coefficient
of restitution is
A . 0.5
B. 0.3
\( c .0 .2 \)
D. non
Subject: Maths
Verify Lagrange's mean value theorem for the following function on the indicated interval. In each case find a
point \( ^{\prime} c^{\prime} \) in the indicated interval as stated by the Lagrange's mean value theorem:
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}-\boldsymbol{x}^{2} \) on \( [\mathbf{0}, \mathbf{1}] \)
Subject: Maths
\( \mathbf{f} \mathbf{\Delta}=\left|\begin{array}{cc}\mathbf{f}(\boldsymbol{x}) & \boldsymbol{f}\left(\frac{\mathbf{1}}{\boldsymbol{x}}\right)+\boldsymbol{f}(\boldsymbol{x}) \\ \mathbf{1} & \boldsymbol{f}\left(\frac{\mathbf{1}}{\boldsymbol{x}}\right)\end{array}\right|=\mathbf{0} \)
where;
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a}+\boldsymbol{b} \boldsymbol{x}^{n} \) and \( \boldsymbol{f}(\boldsymbol{2})=\mathbf{1 7}, \) then
\( \boldsymbol{f}(\mathbf{5}) \) is:
A . 126
в. 326
\( c .428 \)
D. 626
Subject: Physics
A neutron is moving with velocity \( u \). It
collides head-on and elastically with an
atom of mass number A. If the initial
kinetic energy of the neutron is \( \mathrm{E} \), how much kinetic energy is retained by the
neutron after the collision?
[Assume fission doesn't take place]
\( ^{\mathbf{A}} \cdot\left[\frac{A}{(A+1)}\right]^{2} E \)
В. \( \left[\frac{A}{(A+1)^{2}}\right] E \)
\( ^{\mathbf{C}} \cdot\left[\frac{(A-1)}{(A+1)}\right]^{2} E \)
D. \( \left[\frac{(A-1)}{(A+1)^{2}}\right] E \)
Subject: Chemistry
Assertion
Globular proteins are highly branched proteins usually soluble in water.
Reason
Insulin and Albumin are the common
fibrous proteins.
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
A man borrows Rs. 12500 from a bank at
\( 20 \% \) compound interest. At the end of every year, he pays Rs. 2000 as part repayment. How much does he still owe to the bank after three such instalments?
A. Rs. 15600
B. Rs. 12864
c. Rs. 12000
D. Rs. 14320
Subject: Chemistry
In the following reaction:
\( \boldsymbol{C r}(\boldsymbol{O H})_{3}+(\boldsymbol{O H})^{-}+\boldsymbol{I O}_{3}^{-} \rightarrow \)
\( \boldsymbol{C r} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{I}^{-} \)
A \( \cdot I O_{3}^{-} \) is oxidising agent
B. \( \operatorname{Cr}(O H)_{3} \) is oxidised
c. \( 6 e^{-} \) are being taken per \( I \) atom
D. All of the above are correct
Subject: Chemistry
Assertion
Oxides and carbonates of carbon
considered to be inorganic compounds.
Reason
Inorganic carbon is carbon extracted
from ores and minerals, as opposed to organic carbon found in nature through plants and living things.
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
An iron rod of length \( 2 m \) and cross-
sectional area of \( 50 \mathrm{mm}^{2} \) stretched by
\( 0.5 m m, \) when a mass of \( 250 k g \) is hung from its lower end. Young's modulus of iron rod is
A \( \cdot 19.6 \times 10^{20} N / m^{2} \)
В. \( 19.6 \times 10^{18} \mathrm{N} / \mathrm{m}^{2} \)
C. \( 19.6 \times 10^{10} N / m^{2} \)
D. \( 19.6 \times 10^{15} N / m^{2} \)
Subject: Chemistry
Halogenated hydrocarbons have many
uses.

What have halogenated hydrocarbons
been used for?
solvents
2 refrigerants
3 monomers in polymer manufacture
\( A \cdot 1,2 \) and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct
Subject: Physics
Two stretched membranes of area
\( 2 \mathrm{cm}^{2} \) and \( 3 \mathrm{cm}^{3} \) are placed in a liquid at the same depth. The ratio of the
pressure on them is
A . 1: 1
B. 2: 3
c. 3: 2
\( D \cdot 2^{2}: 3^{2} \)
Subject: Physics
A particle is executing \( S H M \) and its velocity \( v \) is related to its position \( (x) \)
as \( y^{2}+a x^{2}=b, \) where a and b are
positive constants. The frequency of oscillation of particle is
\( ^{A} \cdot \frac{1}{2 \pi} \sqrt{\frac{b}{a}} \)
B. \( \frac{\sqrt{a}}{2 \pi} \)
\( c \cdot \frac{\sqrt{b}}{2 \pi} \)
D. \( \frac{1}{2 \pi} \sqrt{\frac{a}{b}} \)
Subject: Physics
A force acts on a \( 30 \mathrm{gm} \) particle in such a way that the position of the particle as a function of time is given by \( \boldsymbol{x}=\mathbf{3} \boldsymbol{t}- \)
\( 4 t^{2}+t^{3}, \) where \( x \) is in metres and \( t \) is in
seconds. The work done during the first
4 second is?
A .5 .28
B. 450mJ
c. \( 490 \mathrm{mJ} \)
D. 530 mJ
Subject: Maths
Find area of parallelogram \( \boldsymbol{A B C D} \) if \( A B=8 \mathrm{cm}, B C=4 \mathrm{cm} \) and distance
between the two parallel lines \( A B \) and
\( C D \) is \( 3 \mathrm{cm} . \) Find the distance between
\( A D \) and \( B C \)
Subject: Biology
Match the columns and choose the
correct option.
II 70-75 action
potential per
minute
Ventricular
repolarisation and \begin{tabular}{c|c|c|c} 
& 1 & \\
(i) & Stroke volume & (a) & II 70-75 potent minute \\
(ii) & Cardiac output & (b) & Ventric repolar \\
(iii) & SAN & (c) & 70 ml of cardiac \\
(iv) & P-wave & (d) & 5000 ml per cardi \\
(v) & T-wave & (e) & Atrial depolaris \\
& &
\end{tabular} er 70 ml of blood per
cardiac cycle and \( - \)
O ml of blood
cardiac cycle oyor an
1 depolarisation
\( A \cdot \) i-d, ii-c, iii-a, iv-b, v-e
B. i-a, ii-e, iii-c, iv-d, v-b
C. i-c, ii-d, iii-a, iv-e, v-b
D. i-c, ii-a, iii-d, iv-e, v-b
E. \( i-d, \) ii-a, ii \( -b, \) iv-e, v-
Subject: Maths
The differential equation whose solution is \( \boldsymbol{y}=\boldsymbol{a} \cos (\boldsymbol{3} \boldsymbol{x}+\boldsymbol{b}) \) is?
A \( \cdot y_{2}+3 y=0 \)
в. \( y_{2}+y=0 \)
c. \( y_{2}+9 y=0 \)
D. \( y_{2}+6 y=0 \)
Subject: Maths
Sum of the series \( \sum_{r=1}^{88}(-1)^{r+1} \frac{1}{\sin ^{2}(r+1)^{\circ}-\sin ^{2} 1^{\circ}} \)
equal to
A \( \cdot \frac{\cot 2^{\circ}}{\sin 2^{\circ}} \)
B. \( \frac{-\cot 2^{\circ}}{\sin 2^{\circ}} \)
c. \( \cot 2^{\circ} \)
D. \( \frac{\cot 2^{\circ}}{\sin ^{2} 2^{\circ}} \)
Subject: Physics
A red cart starts from rest at the top of a
ramp and coasts down the ramp with a constant acceleration. A blue motor car
starts at the top of the same ramp
directly beside the red cart. The blue motor car moves down the ramp with a
constant speed.
When the red cart catches up to the blue car, how does the speed of the red cart compare with the speed of the blue
car?
A. The red cart is moving at the same speed as the blue car
B. The red cart is moving slightly faster than the blue car
c. The red cart is moving more slowly than the blue car
D. The red cart is moving twice as fast as the blue car
Subject: Physics
A particle of mass \( 1 \mathrm{kg} \) is moving in a
S.H.M with an amplitude of \( 0.02 \mathrm{m} \) and a frequency of \( 60 \mathrm{Hz} \). The maximum force acting on the particle is :
A \( .2 .88 \times 10^{3} \mathrm{N} \)
B . \( 1.44 \times 10^{3} \) N
c. \( 5.67 \times 10^{3} \mathrm{N} \)
D. \( 0.75 \times 10^{3} \mathrm{N} \)
Subject: Chemistry
Reaction by which Benzaldehyde cannot
be prepared?
\( \mathbf{A} \)
co in \( \mathrm{CS}_{2} \) followed by \( \mathrm{H}_{3} \mathrm{O} \)
B.
in presence of \( \mathrm{Pd}-\mathrm{BaSO}_{4} \)
\( c \)
in presence of anhydrous
\[
\mathrm{AlCl}_{3}
\]
D.
and conc. HCl
Subject: Biology
Select the answer with correct
matching of the structure, its location
and function.
A. Structure - Eustachian tube, Location - Anterior part of internal ear, Function - Equalises air pressure on either sides of tympanic membrane
B. Structure - Cerebellum, Location - Midbrain, Function Controls respiration and gastric secretions
C. Structure - Hypothalamus, Location - Forebrain, Function - Controls body temperature, urge for eating and drinking
D. Structure - Blind spot, Location - Near the place where optic nerve leaves the eye, Function - Rods and cones are present but inactive here.
Subject: Chemistry
The outer electronic configuration of the element \( M o(Z=42) \) is:
\( \mathbf{A} \cdot 5 s^{2} 4 d^{4} \)
B. \( 5 s^{1} 4 d^{5} \)
c. \( 5 s^{2} 5 p^{4} \)
D. \( 4 s^{2} 3 d^{4} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}0 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 4\end{array}\right] \) and \( B=\left[\begin{array}{cc}1 & -2 \\ -1 & 0 \\ 2 & -1\end{array}\right] \)
Check \( A B=B A ? \)