AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A body is executing simple harmonic motion of amplitude \( a \) and period \( T \)
about the equilibrium position \( \boldsymbol{x}=\mathbf{0} \)
Large numbers of snapshots are taken
at random of this body in motion. The probability of the body being found in a
very small interval \( \boldsymbol{x} \) to \( \boldsymbol{x}+|\boldsymbol{d} \boldsymbol{x}| \) is
highest at
A. \( x=\pm a \)
В. \( x=\pm a / 2 \)
c. \( x=0 \)
D. \( x=\pm a / \sqrt{2} \)
Subject: Biology
Select the correct labeling for the given
diagram:
A. a- notochord, b- mouth, c- gill slit, d- neural tube, enotochord
B. a- gills slits, b- anus, c-mouth, d-neural tube, e notochord
C. a- gill slits, b- mouth, c- anus, d- neural tube, enotochord
D. a- gill slits, b- mouth, c- anus, d- notochord, e- neural tube
Subject: Physics
The velocity (v) of a particle that moves in the positive x-direction varies with its position (x) as shown in the figure.
The acceleration of the particle at \( x=5 \)
\( \mathrm{m} \) is nearly:
A \( \cdot 10 \mathrm{ms}^{-2} \)
В. \( 9.4 \mathrm{ms}^{-2} \)
\( c \cdot 7 \cdot 4 m s^{-2} \)
D. \( -1.25 \mathrm{ms}^{-2} \)
Subject: Physics
Assertion
The binding energy per nucleon, for
nuclei with the atomic mass number
\( A>100, \) decreases with \( A \)
Reason
The nuclear forces are weak for heavier
nuclei.
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: Maths
The graph shows the number of
basketball titles won by the boys team
and the girls team for three different
school teams.
Based on the data in the graph, which of the following statements is true?
A. The \( F . P . S \) teams together have won the greatest total number of basketball titles
B. The girls L.P.S team has won exactly twice as many titles as the \( G . P . S \) boys and girls teamsm together
C. The girls \( F . P . S \) team has won more titles than the girls \( L . P . S \) team
D. The \( L . P . S \) teams together have won the greatest total number of basketball titles
Subject: Physics
A plank of mass \( 5 k g \) placed on a
frictionless horizontal plane. Further a
block of mass \( 1 k g \) is placed over the
plank. A massless spring of natural
length \( 2 m \) is fixed to the plank by its
one end. The other end of spring is
compressed by the block by half of
spring's natural length. They system is now released from the rest. What is the
velocity of the plank when block leaves the plank? (The stiffness constant of
spring is \( 100 N / m \) ).
Subject: Chemistry
Match the following
\( \begin{array}{ll}\text { Set A } & \text { Set B } \\ \text { 1. Adenine } & \text { a. } C_{5} N_{5} H_{5} O \\ \text { 2. Guanine } & \text { b. } C_{4} N_{2} H_{4} O_{2} \\ \text { 3. Uracil } & \text { c. } C_{5} N_{5} H_{5} \\ \text { 4. Thymine } & \text { d. } C_{5} N_{2} H_{6} O_{2}\end{array} \)
\( \mathbf{A} \)
\( 1-c ; 2-a ; 3-d ; 4-b \)
B. \( 1-c ; 2-b ; 3-d ; 4-e \)
c. \( 1-b ; 2-c ; 3-d ; 4-a \)
D. \( 1-c ; 2-a ; 3-b ; 4-d \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) if \( \boldsymbol{y}=\sin ^{-1}(\boldsymbol{2} \boldsymbol{x} \sqrt{\mathbf{1}-\boldsymbol{x}^{2}}) \)
\( \frac{\mathbf{- 1}}{\sqrt{\mathbf{2}}}<\boldsymbol{x}<\frac{\mathbf{1}}{\sqrt{\mathbf{2}}} \)
Subject: Physics
In an LC circuit the capacitor has
maximum charge qo. The value of \( \left(\frac{d I}{d t}\right)_{\max } \)
A \( \cdot \frac{q_{0}}{L C} \)
в. \( \frac{q_{0}}{\sqrt{L C}} \)
c. \( \frac{q_{0}}{L C}-1 \)
D. \( \frac{q_{0}}{L C}+1 \)
Subject: Maths
Let \( C \) be the set of all complex numbers
and \( C_{0} \) be the set of all non-zero
complex numbers. Let a relation \( \boldsymbol{R} \) on
\( C_{0} \) be defined as
\( z_{1} R z_{2} \Leftrightarrow \frac{z_{1}-z_{2}}{z_{1}-z_{2}} \) is real for all \( z_{1}, z_{2} \in \)
\( C_{0} \)
Show that \( R \) is an equivalence relation.
Subject: Physics
Three rods made of the same material
and having the same cross-section have been joined as shown in figure. Each rod is of the same length. The left and right
ends are kept at \( 0^{\circ} \mathrm{C} \) and \( 90^{\circ} \mathrm{C} \)
respectively. The temperature of the
junction of three
A \( \cdot 46^{\circ} \mathrm{C} \)
B. \( 60^{\circ} \mathrm{C} \)
\( c \cdot 30^{\circ} \mathrm{C} \)
D. \( 20^{\circ} \) C
Subject: Chemistry
Give balanced equation for reaction in
which \( N H_{3} \) is oxidized by a gas which
is not oxygen.
A. \( 8 N H_{3}+3 C l_{2} \rightarrow 6 N H_{4} C l+2 N_{2} \)
B . \( 4 N H_{3}+3 C l_{2} \rightarrow 3 N H_{4} C l+N_{2} \)
\( \mathrm{c} \cdot 8 N H_{3}+3 C l_{2} \rightarrow 6 N H_{4} C l+N_{2} \)
D. None of these
Subject: Maths
A boy playing on the roof top of a \( 10 \mathrm{m} \) high building throws a ball with a speed
of \( 10 \mathrm{m} / \mathrm{s} \) at an angle of \( 30_{0} \) with the
horizontal. How far from the throwing point will the ball be at the height of 10m from the ground.
\( \sin 30^{0}=\frac{1}{2} \)
\( \cos 30^{0}=\frac{\sqrt{3}}{2} \)
A. 8.66 \( \mathrm{m} \)
B. 5.20 \( \mathrm{m} \)
c. 4.33 m
D. 2.60 \( \mathrm{m} \)
Subject: Chemistry
Which one of the following pairs of reactants does not produce oxygen when they react with each other?
A \( \cdot F_{2}, \) NaOH solution (hot, conc.
В. \( F_{2}, H_{2} O \)
c. \( C l_{2}, \) NaOH solution (cold, dilute)
D. \( C a O C l_{2}, H_{2} S O_{4} \) (dilute, small amount)
Subject: Maths
Given Function \( f(x)== \) \( \left\{\begin{array}{cc}x^{2}, & \text { for } 0 \leq x<1 \\ \sqrt{x}, & \text { for } 1 \leq x \leq 2\end{array}\right\} \) Evaluate
\( \int_{0}^{2} f(x) d x \)
A \( \cdot \frac{1}{3}(4 \sqrt{2}-1) \)
B. \( \frac{1}{3}(2 \sqrt{2}-1) \)
c. \( \frac{2}{3}(4 \sqrt{2}-1) \)
D \( \cdot \frac{2}{3}(2 \sqrt{2}-1) \)
Subject: Chemistry
Which of the following compound is used in detection of metal ions such as
\( \boldsymbol{C u}^{+\mathbf{2}}, \boldsymbol{A} \boldsymbol{g}^{+} ? \)
A \( . P H_{3} \)
в. \( N H_{3} \)
c. \( N_{2} \)
D. \( F e C l_{3} \)
Subject: Maths
If \( \boldsymbol{A}=(\mathbf{5},-\mathbf{1}, \mathbf{1}), \boldsymbol{B}=(\mathbf{7},-\mathbf{4}, \mathbf{7}), \boldsymbol{C}= \)
\( (1,-6,10), D=(-1,-3,4) . \) Then
\( A B C D \) is a
A . square
B. rectangle
c. rhombus
D. none of these
Subject: Chemistry
The number of complexes that can
be can be made with varying \( \boldsymbol{N} \boldsymbol{H}_{3} \) ligands to satisfy primary and secondary valencies of platinum are:
Complex; \( \left[P t C l_{4} \cdot x N H_{3}\right] \)
A. 5
B. 3
\( c \cdot 4 \)
D.
Subject: Maths
Write the value of the determinant
\[
\left[\begin{array}{cc}
\boldsymbol{p} & \boldsymbol{p}+\mathbf{1} \\
\boldsymbol{p}-\mathbf{1} & \boldsymbol{p}
\end{array}\right]
\]
when \( p=1342 \)
Subject: Physics
Two ideal junction diodes \( D_{1}, D_{2} \) are
connected as shown in the figure. A \( 3 V \)
battery is connected between \( A \) and \( B \) The current supplied by the battery, if its positive terminal is connected to B
is
A \( .0 .15 ~ A \)
в. 0.3 А
\( c .3 A \)
D. 1.4
Subject: Chemistry
What volume of \( 0.18 N-K M n O_{4} \)
solution would be needed for complete
reaction with \( 25 \mathrm{ml} \) of \( 0.21 N-K N O_{2} \)
in acidic medium ?
A \( .57 .29 \mathrm{ml} \)
в. \( 11.67 m l \)
c. \( 29.17 m \)
D. \( 22.92 m l \)
Subject: Maths
The value of \( \int_{0}^{\infty} \frac{d x}{\left(x^{2}+4\right)\left(x^{2}+9\right)} \) is
A \( \cdot \frac{\pi}{60} \)
в. \( \frac{\pi}{20} \)
c. \( \frac{\pi}{40} \)
D. \( \frac{\pi}{80} \)
Subject: Biology
Which of the following statement is/are
true?
(i) Sudden action in response to something in the environment is called
as a reflex action.
(ii) Sensory neurons carry signals from the spinal cord to muscles.
(iii) Motor neurons carry signals from receptors to the spinal cord.
(iv) The path through which signals are transmitted from a receptor to a muscle or a gland is called as reflex arc.
A \( \cdot \) (i) and (ii)
B. (i) and (iii)
c. (i) and (iv)
D. (i), (ii) and (iii)
Subject: Chemistry
Which can reduce \( R C O O H \longrightarrow \)
\( R C H_{2} O H ? \)
A \( . \) NaBH \( _{4} \)
в. \( N a / C_{2} H_{5} O H \)
c. \( B H_{3} / T H F / H_{3} O^{+} \)
D. \( H_{2} / \) catalyst
Subject: Maths
If \( y^{2}=p(x) \) is a polynomial of degree 3
\( \operatorname{then} 2 \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\boldsymbol{y}^{3} \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}\right) \) is equal to
A \( \cdot p^{\prime \prime \prime}(x) \cdot p^{\prime}(x) \)
B \cdot \( p^{\prime \prime}(x) \cdot p^{\prime \prime \prime}(x) \)
c. \( p(x) \cdot p^{\prime \prime \prime}(x) \)
D. None of these
Subject: Physics
Given \( \vec{F}=(4 \hat{i}-10 \hat{j}) \) and \( \vec{r}=(5 \hat{i}-3 \hat{j}) . \) Then
torque \( \boldsymbol{\tau} \) is
A. - \( 62 \hat{j} \)
в. \( 62 \hat{k} \)
\( c .38 \hat{i} \)
D. \( 38 \hat{k} \)
Subject: Maths
The ratio of maximum and minimum
magnitudes of the resultant of two vectors \( \vec{a} \) and \( \vec{b} \) is \( 3: 1 . \) Now, \( |\vec{a}| \) is equal
to
\( \mathbf{A} \cdot \mid \vec{b} \)
в. \( 2 \mid \vec{b} \)
c. \( 3|\vec{b}| \)
D. \( 4 \mid \vec{b} \)
Subject: Maths
If \( X \) follows a binomial distribution
with parameters \( n=8 \) and \( p=\frac{1}{2}, \) then
\( \boldsymbol{P}(|\boldsymbol{X}-\mathbf{4}| \leq \mathbf{2}) \) is
A \( \cdot \frac{119}{128} \)
в. \( \frac{119}{228} \)
c. \( \frac{19}{128} \)
D. \( \frac{18}{28} \)
Subject: Maths
Consider the linear inequations and
solve them graphically:
\( \mathbf{3} \boldsymbol{x}-\boldsymbol{y}-\mathbf{2}>\mathbf{0} ; \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{4} ; \boldsymbol{x}> \)
\( \mathbf{0} ; \boldsymbol{y} \geq \mathbf{0} \)
The solution region of these inequations
is a convex polygon with sides.
\( A \cdot 3 \)
B. 4
\( c .5 \)
D. 7
Subject: Chemistry
Which of the set of oxides are arranged in the proper order of basic, amphoteric, acidic?
A. \( S O_{2}, P_{2} O_{5}, C O \)
\( \mathrm{c} \cdot \operatorname{Si} \mathrm{O}_{2}, \mathrm{CaO}, \mathrm{Al}_{2} \mathrm{O}_{3} \)
D. \( C O_{2}, A l_{2} O_{3}, C O \)
Subject: Chemistry
Which of the following have been arrange in order of decreasing oxidation number of sulphur? This question has multiple correct options
A \( \cdot N a_{2} S_{4} O_{6}>H_{2} S_{2} O_{7}>N a_{2} S_{2} O_{3}>S_{8} \)
в. \( S O_{2}^{+}>S O_{4}^{2-}>S O_{3}^{2-}>H S O_{4} \)
c. \( H_{2} S O_{5}>H_{2} S O_{3}>S C l_{2}>H_{2} S \)
D. \( H_{2} S O_{4}>S O_{2}>H_{2} S>H_{2} S_{2} O_{8} \)
Subject: Maths
Three numbers are chosen at random
without replacement from \( \{1,2, \ldots, 8 .\} \)
The probability that their minimum is 3 given that their maximum is 6 is
A \( \cdot \frac{2}{5} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{1}{5} \)
D.
Subject: Physics
At a constant pressure of 200,000 Pa a gas expands from a volume of 1.0 cubic
meter to 2.0 cubic meters.

If the gas absorbs \( 100,000 J \) of energy during this expansion, what is the change in internal energy of the gas during the expansion?
\( \mathbf{A} \cdot 500,000 J \)
в. \( 300,000 J \)
c. \( -500,000 J \)
D. \( -300,000 J \)
E . \( -100,000 J \)
Subject: Maths
If \( \mathbf{A}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{2} \\ -\mathbf{3} & \mathbf{2}\end{array}\right], \mathbf{B}=\left[\begin{array}{cc}\mathbf{0} & \mathbf{- 1} \\ \mathbf{1} & \mathbf{0}\end{array}\right] \) then
\( \mathbf{B}^{-\mathbf{1}} \mathbf{A}^{-\mathbf{1}} \)
A \( \cdot \frac{1}{10}\left[\begin{array}{cc}2 & 2 \\ -3 & 2\end{array}\right] \)
в. \( \frac{1}{10}\left[\begin{array}{cc}2 & -2 \\ 2 & 3\end{array}\right] \)
c. \( \frac{1}{10}\left[\begin{array}{cc}2 & 2 \\ -2 & 3\end{array}\right] \)
D. \( \cdot \frac{1}{10}\left[\begin{array}{cc}-2 & 2 \\ 2 & 3\end{array}\right] \)
Subject: Maths
\( \lim _{x \rightarrow 0} \frac{(1-\cos 2 x)^{2}}{2 x \tan x-x \tan 2 x} \) is :-
A . -2
B. \( -\frac{1}{2} \)
\( c \cdot \frac{1}{2} \)
D. 2
Subject: Physics
A car travels with a uniform velocity of
\( 25 m s^{-1} \) for 5 s. The brakes are then
applied and the car is uniformly retarded and comes to rest in further 10
s. Find the acceleration.
\( \mathbf{A} \cdot 5 m s^{-2} \)
B. \( -2.5 \mathrm{m} \mathrm{s}^{-2} \)
c. \( 25 \mathrm{m} \mathrm{s}^{-2} \)
D. \( 10 \mathrm{m} \mathrm{s}^{-2} \)
Subject: Chemistry
\( N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3} \)
Which of the followings the correct statement if \( N_{2} \) is added at equilibrium
condition?
A. The equilibrium will shift to the forward direction because according to the second law of thermodynamics, the entropy must increase in the direction of spontaneous reaction
B. The condition for the equilibrium is \( G\left(N_{2}\right)+ \) \( 3 G\left(H_{2}\right)=2 G\left(N H_{3}\right) \) where, G is the Gibbs free energy per mole of the gaseous species measured at that partial pressure. The condition of equilibrium is unaffected by the use of catalyst,which increases the rate of both the forward and backward reactions to the same extent.
c. The catalyst will increase the rate of forward reaction by \( \alpha \) and the backward reaction by \( \beta \)
D. Catalysts will not alter the rate of either of the reactions
Subject: Physics
An electron is revolving around a proton in a circular orbit of diameter 1 A. If it
produces a magnetic field of \( 14 w b / m^{2} \) at the proton, then its angular velocity will be about
A. \( 8.75 \times 10^{16} \) rad/s
B. \( 10^{10} \) rad/s
\( \mathbf{c} \cdot 4 \times 10^{15} \mathrm{rad} / \mathrm{s} \)
D. \( 10^{15} \) rad/s
Subject: Physics
In Milikan's oil drop experiment, an oil
drop of radius \( r \) and charge \( q \) is held in equilibrium between the plates of a charged parallel plate capacitor when
the potential difference is \( V . \) To keep a
drop of radius \( 2 r \) and with a charge \( 2 q \)
in equilibrium between the plates the
potential difference \( \boldsymbol{V} \) required is :
A. \( V \)
B. \( 2 V \)
\( c .4 V \)
D. \( 8 V \)
Subject: Maths
The order and degree of the differential guation \( \left(\frac{d^{3} y}{d x^{3}}\right)^{1 / 3}=2 \frac{d^{2} y}{d x^{2}}+\sqrt[3]{\cos ^{2} x} \)
are, respectively:
A. 3 and 1
B. 3 and 3
c. 1 and 3
D. 3 and 2
E. 2 and 2
Subject: Maths
The value of the determinant
\( \left|\begin{array}{ccc}b^{2}-a b & b-c & b c-a c \\ a b-a^{2} & a-b & b^{2}-a b \\ b c-a c & c-a & a b-a^{2}\end{array}\right| \)
A \( . a b c \)
B. \( a+b+c \)
\( c \)
\( \mathbf{D} \cdot a b+b c+c a \)
Subject: Physics
Assertion
A sinusoidal wave is created in a thick
rope by moving hand holding the rope up \& down. If the hand is moved up and
down with greater frequency, the wave reached the other end more quickly.
Reason
Wave velocity is product of frequency \& wavelength for a sinusoidal wave.
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
In the circuit, \( 5 \Omega \) resistor develops
\( 45 \mathrm{J} / \mathrm{s} \) due to current flowing through it.
The power developed per second across
\( 12 \Omega \) resistor is:
\( A \cdot 16 w \)
B. 192W
\( c \cdot 36 w \)
D. \( 64 w \)
Subject: Chemistry
A sample of drinking was found to be severely contaminated with chloroform,
\( C H C l_{3}, \) supposed to be a carcinogen
The level of contamination was 15 ppm
(by mass). Express this in percent by
mass.
A. \( 1.5 \times 10^{-3} \)
В. \( 4.0 \times 10^{-3} \)
c. \( 6 \times 10^{-3} \)
D. \( 0.75 \times 10^{-3} \)
Subject: Chemistry
Total number of products in the given reaction: (excluding steroisomers) \( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C H} \boldsymbol{O}+\boldsymbol{C H}_{3}-\boldsymbol{C H O} \frac{\boldsymbol{\Delta}}{_{\boldsymbol{O} \boldsymbol{H}}} \)
product will be:
A. one
B. two
c. three
D. four
Subject: Chemistry
For the reaction :-
\[
\begin{array}{c}
2 \operatorname{Ca} \boldsymbol{S O}_{4}(\boldsymbol{s}) \rightleftharpoons \mathbf{2} \boldsymbol{C a O}(\boldsymbol{s})+ \\
\boldsymbol{2 S O}_{2}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \\
\boldsymbol{K}_{\boldsymbol{p}}=1.45 \times 10^{-5}(\boldsymbol{a t m})^{3} \text { at } \mathbf{1 6 2 5} \boldsymbol{K} . \text { If }
\end{array}
\]
mole fraction of \( S O_{2} \) is 0.4 at
equilibrium, the dissociation pressure
of \( C a S O_{4} \) in \( m m \) of \( H g \) at \( 1625 K \) is \( X \)
atm. \( 100 X \) is
Subject: Maths
Assertion \( \operatorname{As} A=\left[\begin{array}{lll}2 & 1 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 2\end{array}\right] \) satisfies the
equation \( x^{3}-5 x^{2}+7 x-3=0 \)
therefore \( A \) is invertible.
Reason
If a square matrix \( A \) satisfies the
equation \( a_{0} x^{n}+a_{1} x^{n-1}+\ldots a_{n-1} x+ \)
\( a_{n}=0, \) and \( a_{n} \neq 0, \) then \( A \) is invertible.
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
The order of electronegativity of carbon
in \( s p, s p^{2} \) and \( s p^{3} \) hybridized states follows:
\( \mathbf{A} \cdot s p>s p^{2}>s p^{3} \)
B \( \cdot s p^{3}>s p^{2}>s p \)
\( \mathbf{c} \cdot s p>s p^{3}>s p^{2} \)
D \( \cdot s p^{2}>s p>s p^{3} \)
Subject: Physics
Two bulbs, one of \( 200 \mathrm{W} \) and the other of
\( 100 \mathrm{W}, \) are connected in series with a
\( 100 \mathrm{V} \) battery which has no internal
resistance. Then
A. The current passing through the 200 W bulb is more than that through the 100 w bulb
B. The power dissipation in the 200 W bulb is more than that In the 100 w bulb
C. The voltage drop across the 200W bulb is more than that across the 100 w bulb
D. The power dissipation In the 100 W bulb is more than that in the 200 w bulb
Subject: Maths
Find the common difference and write
the next four terms of the \( A P: \)
\( -1, \frac{1}{4}, \frac{3}{2}, \)
A \( \cdot d=\frac{5}{2} ; a_{4}=\frac{11}{4}, a_{5}=\frac{16}{4}, a_{6}=\frac{21}{4}, a_{7}=\frac{26}{4} \)
B. \( d=\frac{5}{4} ; a_{4}=\frac{11}{4}, a_{5}=\frac{16}{4}, a_{6}=\frac{21}{4}, a_{7}=\frac{26}{4} \)
C. \( d=\frac{5}{4} ; a_{4}=\frac{11}{4}, a_{5}=\frac{16}{4}, a_{6}=\frac{21}{4}, a_{7}=\frac{25}{4} \)
D. \( d=\frac{5}{2} ; a_{4}=\frac{11}{4}, a_{5}=\frac{16}{4}, a_{6}=\frac{21}{4}, a_{7}=\frac{25}{4} \)
Subject: Maths
The given table shows the possible food choices for lunch. How many different
types of lunch can be made each including 1 type of soup, 1 type of sandwich and 1 type of salad?
Lunch Choices
Soup Sandwich \( \quad \) Salad
Chicken Cheese Cheese \( \quad \) Vegetable
\( A \cdot 2 \)
B. 3
\( c .6 \)
D.
Subject: Maths
Construct \( \triangle A B C \) such that \( A B= \)
\( \mathbf{2 . 5} \mathbf{c m}, \boldsymbol{B C}=\mathbf{6} \boldsymbol{c m} \) and \( \boldsymbol{A} \boldsymbol{C}=\mathbf{6 . 5} \boldsymbol{c m} \)
Measure \( \angle B \)
Subject: Chemistry
Among the elements \( B, M g, A l \) and \( K \) the correct order of increasing metallic
character is:
A. \( B<A l<M g<K \)
в. \( B<M g<A l<K \)
c. \( M g<B<A l<K \)
D. \( M g<A l<B<K \)
Е. \( K<M g<A l<B \)
Subject: Physics
In solar water heater, a coper pipe with
its outer surface painted in black is fixed in the form of a coil in a box.
A. The only purpose of bending copper pipe is to increase the capacity of water storage.
B. Bending copper pipe as a coil helps to increase the surface area for heating.
C. Both (1) and
(2) are true
D. Both (1) and
(2) are false
Subject: Physics
If \( \mathrm{E} \) and \( \mathrm{B} \) denote electronic and
magnetic field respectively, which of the following is dimensionless?
A \( \cdot \sqrt{\mu_{0} \varepsilon_{0}} \frac{E}{B} \)
в. \( \quad \mu_{0} \varepsilon_{0} \frac{E}{B} \)
\( ^{\mathbf{c}} \cdot_{\mu_{0} \varepsilon_{0}}\left(\frac{B}{E}\right)^{2} \)
D. \( \frac{E}{\varepsilon_{0}} \frac{\mu_{0}}{B} \)
Subject: Physics
The truth table for expression is the given Boolean expression is
\[
(A+B) \cdot \overline{(A \cdot B)}=1
\]
A. \begin{tabular}{|c|c|c|}
\hline\( A \) & \( B \) & \( Y \) \\
\hline 1 & 0 & 0 \\
1 & 1 & 1 \\
0 & 1 & 0 \\
1 & 0 & 0 \\
\hline
\end{tabular}
в. \begin{tabular}{|c|c|c|}
\hline\( A \) & \( B \) & \( Y \) \\
\hline 1 & 1 & 1 \\
0 & 0 & 1 \\
1 & 0 & 0 \\
1 & 0 & 1 \\
\hline
\end{tabular}
c. \begin{tabular}{|c|c|c|}
\hline\( A \) & \( B \) & \( Y \) \\
\hline 0 & 0 & 1 \\
1 & 0 & 0 \\
0 & 1 & 0 \\
1 & 1 & 0 \\
\hline
\end{tabular}
D. \begin{tabular}{|c|c|c|}
\hline\( A \) & \( B \) & \( Y \) \\
\hline 1 & 1 & 0 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
0 & 0 & 0 \\
\hline
\end{tabular}
Subject: Chemistry
Assertion
All combustion reactions are
exothermic.
Reason
Enthalpies of products are greater than enthalpies of reactants
\( \left(\sum \boldsymbol{v}_{\boldsymbol{p}} \boldsymbol{\Delta}_{f} \boldsymbol{H}(\boldsymbol{P})>\sum \boldsymbol{v}_{\boldsymbol{R}} \boldsymbol{\Delta}_{f} \boldsymbol{H}(\boldsymbol{R})\right) \)
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
\( \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\mathbf{1} / \boldsymbol{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \boldsymbol{\Delta} \boldsymbol{H}_{298}^{o}= \)
\( \mathbf{9 8 . 3 2 k J / m o l e , \Delta S _ { 2 9 8 } ^ { o }}= \)
\( \mathbf{9 5 . 0 J} / \boldsymbol{K} / \) mole
Find the \( K_{p} \) for this above reaction at
298K:
B. \( K_{P}=5.34 \times 10^{-13} a t m^{1 / 2} \)
c. \( K_{P}=3.7 \times 10^{-13} a t m^{1 / 2} \)
D. \( K_{P}=3.7 \times 10^{-14} \mathrm{atm}^{1 / 2} \)
Subject: Physics
An object of mass 5 kg falls from rest through a vertical distance of \( 20 \mathrm{m} \) and reaches a velocity of \( 10 \mathrm{m} / \mathrm{s} \). How much work is done by the push of the air on the object?
A . -740 J
B. -750 J
c. -760 J
D. -770 J
Subject: Physics
Let \( \vec{v}(t) \) be the velocity of a particle at
time \( t . \) Then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot\left|\frac{d \vec{v}(t)}{d t}\right| \) and \( \frac{d|\vec{v}(t)|}{d t} \) are always equal
\( ^{\mathbf{B}} \cdot\left|\frac{d \vec{v}(t)}{d t}\right| \) and \( \frac{d|\vec{v}(t)|}{d t} \) may be equal
c. \( \frac{d|\vec{v}(t)|}{d t} \) can be zero while \( \left|\frac{d \vec{v}(t)}{d t}\right| \) is not zero
D \( \cdot \frac{d|\vec{v}(t)|}{d t} \neq 0 \) implies \( \frac{|d \vec{v}(t)|}{d t} \neq 0 \)
Subject: Maths
\( \boldsymbol{x}^{2}-(\boldsymbol{m}-\mathbf{3}) \boldsymbol{x}+\boldsymbol{m}=\mathbf{0}(\boldsymbol{m} \in \boldsymbol{R}) \) be a
quadratic equation. Find the value of \( \boldsymbol{m} \)
for which both the roots are equal:
A \( \cdot\{1,9\} \)
B.
\( c .3 \)
D. \{4,11\}
Subject: Biology
Identify the wrong statement
A. In male grasshoppers, \( 50 \% \) of the sperms have no sex chromosome.
B. Usually female birds produce two types of gametes based on sex chromosomes.
c. The human males have one of their sex chromosomes much shorter than the other.
D. The male fruit fly is heterogametic.
E. In domesticated fowls, the sex of the progeny depends on the type of sperm that fertilizes the egg.
Subject: Maths
The area bounded by the parabolas \( y^{2}=4 a(x+a) \) and \( y^{2}=-4 a(x-a) \)
is
A \( \cdot \frac{16}{3} a^{2} \) sq units
B. \( \frac{8}{3} \) sq units
c. \( \frac{4}{3} a^{2} \) sq units
D. None of these
Subject: Chemistry
Using the information in the preceding problem, calculate the solubility
product of \( A g I \) in water at \( 25^{0} C \)
\( \left[\boldsymbol{E}_{\boldsymbol{A} \boldsymbol{g}^{+}, \boldsymbol{A} \boldsymbol{g}}^{\boldsymbol{o}}=+\mathbf{0 . 7 9 9} \quad \boldsymbol{v o l t}\right] \)
A \( \cdot 1.97 \times 10^{-17} \)
В. \( 7.91 \times 10^{-17} \)
c. \( 1.79 \times 10^{-17} \)
D. \( 9.17 \times 10^{-17} \)