AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Identify \( (\boldsymbol{E}): \)
\( (a) S i \frac{H N O_{3} / H F}{c o n c, \Delta} \quad(A) \quad \stackrel{H F}{\rightarrow}(B) \)
\( \downarrow \)
\( (B)+(C) \)
(b)Graphite \( ^{h o t \operatorname{conc} H N O_{3}}(D) \)
\( (\mathrm{c}) N a_{2} C O_{3}+S i \rightarrow(E) \)
fused
A \( \cdot(E):\left(N a_{2} C O_{2}+S i O\right) \)
B . \( (E):\left(N a_{2} C O+S i O_{2}\right) \)
C \( \cdot(E):\left(N a_{2} \operatorname{Si} O_{3}+C\right) \)
D. None of these
Subject: Physics
Volume of oxygen at NTP, required to
completely burn 1 kg of coal (100\% arbon) is
A . 22.4 \( L \)
В. \( 1.86 \times 10^{3} \mathrm{L} \)
c. \( 22.4 \times 10^{3} \mathrm{L} \)
D. 1000 L
Subject: Maths
Find the mean and variance for the
following frequency distribution
\( \begin{array}{lllll}\text { Classes } & \begin{array}{l}0- \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 60\end{array} & \begin{array}{l}\text { 60- } \\ \text { 90 }\end{array} & \begin{array}{l}\text { 9 } \\ \text { 1 }\end{array}\end{array} \) 120
Frequencies 2 3
Subject: Physics
A thermodynamic system undergoes a
cyclic process as shown in the figure. In
each of the loops 1 and 2 , does the heat flow into or out of the system?
A. into loop 1 and out of loop 2
B. into loop 2 and out of loop 1
\( c . \) into loop 1 and into loop 2
D. out of loop 1 and loop 2 both
Subject: Chemistry
Sucrose molecule is made up of:
A \( . \alpha-D- \) gluco pyranose and \( \beta-D- \) fructo pyranose
B. \( \alpha-D- \) gluco pyranose and \( \beta-D- \) fructo furanose
C \( . \alpha-D- \) gluco furanose and \( \beta-D- \) fructo pyranose
D. \( \alpha-D- \) gluco furanose and \( \beta-D- \) fructo furanose
Subject: Biology
Assertion
Transcription unit is often monocistronic in eukaryotes and polycistronic in prokaryotes.
Reason
Exons do not appear in mature RNA,
introns appear in mature RNA.
A. Assertion and Reason are true, Reason is correct explanation of Assertion.
B. Assertion and Reason are true, Reason is not the correct explanation of Assertion
C. Assertion is true, Reason is false.
D. Assertion is false, Reason is true.
Subject: Maths
Q Type your question
in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as
below :
No. of faulty packet Number of
packets
0
1
2
3
4
Total number of packets 500
If one packet is drawn from the box, what
is the probability that all the four devices in the packet are without any fault?
A . 0.5
B. 0.6
c. 0.8
D. 0.9
Subject: Physics
Assertion
Magnetic field interacts with a moving charge and not with a stationary charge.
Reason

A moving charge produces a magnetic 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
If \( \boldsymbol{y}=\mathbf{2}^{2^{x}}, \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
A \( \cdot y(\log 2)^{2} \times 2^{x} \)
В . \( y \times 2(\log 2) 2^{x} \)
C \( \cdot y \times 2(\log 2)^{2} \times 2^{x} \)
D. \( -y(\log 2) \times 2^{x} \)
Subject: Maths
If \( f(x)=x^{3} \) and \( g(x)=x^{3}-4 x \) in
\( -2 \leq x \leq 2, \) then consider the
statements:
(a) \( f(x) \) and \( g(x) \) satisfy mean value theorem.
(b) \( f(x) \) and \( g(x) \) both satisfy Rolle's
theorem.
(c) Only \( g(x) \) satisfies Rolle's theorem. Of these statements
A . (a) alone is correct.
B. (a) and (c) are correct
c. (a) and (b) are correct
D. None is correct
Subject: Physics
In a container water is filled upto
certain height with a hole at its bottom.
A bird is coming towards free surface of the liquid with velocity \( \vec{V}_{b}=(12 \hat{i}- \) \( \mathbf{1 0} \hat{\boldsymbol{j}}) \boldsymbol{m} / \boldsymbol{s} \) and fish is rising upwards
with velocity \( \vec{V}_{f i s h}(3 \hat{j}) m / s \)
The speed of bird as seen by fish under normal incidence condition at the
moment when water level in container
is \( 20 m \) from its bottom is: (given hole
area \( =1 c m^{2} ; \) surface area of liquid \( = \)
\( \left.20 c m^{2}\right) \)
A \( .20 m / s \)
B. \( 40 \mathrm{m} / \mathrm{s} \)
c. \( 10 \mathrm{m} / \mathrm{s} \)
D. \( 12 m / s \)
Subject: Chemistry
(i) \( \underset{\boldsymbol{a} \boldsymbol{q} \cdot \boldsymbol{s u s p e n s i o n}}{\boldsymbol{B} \boldsymbol{a} \boldsymbol{C O}_{3}}+\boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{C r} \boldsymbol{O}_{4}+ \)
\( \boldsymbol{A c O H} \rightarrow \underset{p p t}{\boldsymbol{H}} \)
(ii) \( \boldsymbol{B a C O}_{3}+\boldsymbol{N a}_{2} \boldsymbol{C r} \boldsymbol{O}_{4}+ \)
aq.suspension
\( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \rightarrow \underset{p p t}{\boldsymbol{N}} \)
Which is the correct option regarding the given reactions?
A. \( \mathrm{M} \) and \( \mathrm{N} \) are the same and characterized as \( B a C r O_{4} \)
B. \( \mathrm{M} \) is \( \mathrm{BaCrO}_{4} \) and \( \mathrm{N} \) stands for no precipitate
c. \( \mathrm{M} \) is \( \mathrm{BaCrO}_{4} \) and \( \mathrm{N} \) is \( \mathrm{BaCO}_{3} \)
D. M stands for no precipitate and \( \mathrm{N} \) is \( \mathrm{BaCrO}_{4} \)
Subject: Physics
Assertion
Two bodies of different masses dropped from the same height reach the ground
at the same instant of time.
Reason
Time of flight depends upon the mass of
the bodies.
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
If \( \left|\frac{z_{1}}{z_{2}}\right|=1 \) and \( \arg \left(z_{1} z_{2}\right)=0, \) then
A \( \cdot z_{1}=z_{2} \)
B . \( \left|z_{2}\right|^{2}=z_{1} z_{2} \)
\( \mathbf{c} \cdot z_{1} z_{2}=1 \)
D. None of these
Subject: Chemistry
Depict the galvanic cell in which the
reaction \( Z n(s)+2 A g^{+}(a q) \rightarrow \)
\( Z n^{2+}(a q)+2 A g(s) \) takes place.
Further show:
(i) Which of the electrode is negatively charged?
(ii) The carriers of the current in the cell
(iii) Individual reaction at each
electrode
Subject: Physics
In an electrical circuit two resistors of 2
\( \Omega \) and \( 4 \Omega \) respectively are connected in series to a \( 6 \mathrm{V} \) battery. The heat dissipated by the \( 4 \Omega \) resistor in 5 s will be
A . 5 J
B. 10
c. 20
D. 30
Subject: Maths
If \( S_{r} \) denotes the sum of the first \( r \) terms of an \( A P \) then \( \frac{S_{3 r}-S_{r-1}}{S_{2 r}-S_{2 r-1}} \) is
equal to
A \( .2 r-1 \)
в. \( 2 r+1 \)
c. \( 4 r+1 \)
D. \( 2 r+3 \)
Subject: Maths
\( \boldsymbol{P}(\boldsymbol{3}, \boldsymbol{4}) \boldsymbol{Q}(\boldsymbol{7},-\boldsymbol{2}) \) and \( \boldsymbol{R}(-\boldsymbol{2},-1) \) are
vertices of \( \triangle P Q R \) write equation of
median
Subject: Physics
A car of mas sm starts moving so that its velocity varies according to the law \( \boldsymbol{v}=\boldsymbol{\beta} \sqrt{\boldsymbol{s}} \) where \( \boldsymbol{\beta} \) is a constant, ands is
the distance covered. The total work
performed by all the forces which are acting on the car during the first t seconds after the beginning of motion
is
A \( \cdot m \beta^{4} t^{2} / 8 \)
B \( \cdot m \beta^{2} t^{4} / 8 \)
\( \mathbf{c} \cdot m \beta^{4} t^{2} / 4 \)
D \( \cdot m \beta^{2} t^{4} / 4 \)
Subject: Chemistry
A square planar complex is formed by hybridisation of which atomic orbital?
A \( \cdot s, p_{x}, p_{y}, d_{y z} \)
B. \( s, p_{x}, p_{y}, d_{x^{2}-y^{2}} \)
\( \mathbf{c} \cdot s, p_{x}, p_{y}, d_{z} \)
D. \( s, p_{x}, p_{y}, d_{x y} \)
Subject: Chemistry
Assertion
The only way to get \( F_{2} \) from \( F^{-} \) is to oxidise electrolytically
Reason
The recovery of halogens from their halides requires an oxidation process.
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
In fuel cells, the reaction that takes
place at the anode is:
A \( \cdot H_{2}(g)+2 O H^{-}(a q) \rightarrow 2 H_{2} O(l)+2 e^{-} \)
в. \( O_{2}(g)+2 H_{2} O(l)+4 e^{-} \rightarrow 4 O H^{-}(a q) \)
c. \( 4 O H^{-} \rightarrow O_{2}+2 H_{2} O+4 e^{-} \)
D. \( 2 H^{+}+2 e^{-} \rightarrow H_{2} \)
Subject: Maths
If \( A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right], B=\left[\begin{array}{ll}2 & 3 \\ 4 & 5\end{array}\right], \) and \( 4 A-3 B+C \)
\( =0, \) then \( C= \)
A. \( \left[\begin{array}{cc}2 & -1 \\ 0 & 1\end{array}\right] \)
В. \( \left[\begin{array}{cc}2 & 1 \\ 0 & -1\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}-2 & 1 \\ 0 & -1\end{array}\right] \)
D. None
Subject: Maths
The solution of \( \frac{d y}{d x}=e^{(y-x)} \) is
A \( \cdot e^{y}+e^{x}=c \)
B . \( e^{-x}=e^{-y}+c \)
c. \( e^{y-x}=c \)
D \( \cdot e^{y / x}=c \)
Subject: Maths
A random variable \( X \) has the
probability distribution \( X=x: \)
\( \begin{array}{llllllll}1 & , 2 & , 3 & , 4 & , 5 & , 6 & , 7 & , 8\end{array} \)
\( \boldsymbol{P}(\boldsymbol{X}) \)
\( \mathbf{0 . 1 5}, \mathbf{0 . 2 3}, \mathbf{0 . 1 2}, \mathbf{0 . 1}, \mathbf{0 . 2}, \mathbf{0 . 0 8}, \mathbf{0 . 0 7}, \mathbf{0 . 0 5} \)
Events \( \boldsymbol{E}=\{\mathrm{X} \text { is a prime number }\} \) and
\( \boldsymbol{F}=\boldsymbol{X} / \boldsymbol{X}<\mathbf{4} \)
\( \boldsymbol{i}: \boldsymbol{p}(\boldsymbol{E} \cup \boldsymbol{F})=\mathbf{0 . 2 3} \)
\( \boldsymbol{i} \boldsymbol{i}: \boldsymbol{p}(\overline{\boldsymbol{E}} \cup \overline{\boldsymbol{F}})=\mathbf{0 . 6 5} \)
Which of \( I, I I \) is (are) true?
A. I only
B. II only
c. both \( I \) and \( I I \)
D. neither I nor \( I I \)
Subject: Maths
Let \( A B C \) be a acute angled triangle such that \( A=\frac{\pi}{3} \) and \( \cos B \cos C=P \)
The possible range of values of \( \boldsymbol{P} \) will be
A \( \cdot\left(-\frac{1}{4}, \frac{1}{4}\right] \)
в. (0,1]
\( c \cdot\left[\frac{1}{3}, \infty\right) \)
\( \mathbf{D} \cdot[1, \infty) \)
Subject: Maths
Let \( f(x)=1+|\sin x| . \) Then
This question has multiple correct options
\( \mathbf{A} \cdot f(x) \) is continuous nowhere
B . \( f(x) \) is continuous everywhere
\( \mathbf{C} \cdot f(x) \) is differentiable nowhere
D. \( f^{\prime} \)
(0) does not exist
Subject: Maths
If \( f(x)=\frac{\sin 4 x}{5 x}+a, \quad \) for \( x>0 \)
\( =\boldsymbol{x}+\mathbf{4}-\boldsymbol{b} \quad \) for \( \boldsymbol{x}<\mathbf{0} \)
\( =1 \) for \( x=0 \) is continuous
\( a t x=0, \) find \( a \) and \( b \)
Subject: Physics
One student uses a lens of focal length \( 50 \mathrm{cm} \) and another of \( -50 \mathrm{cm} . \) What is
the nature of the lens and its power
used by each of them?
A. Convex, \( 2 D ; \) Concave, \( -2 D \)
B. Concave, \( 2 D ; \) Convex, \( -2 D \)
c. Concave, \( -2 D ; \) Convex, \( 2 D \)
D. None of the above
Subject: Physics
A plot of velocity versus time is shown
in figure. A single force acts on the body.
The correct statement is?
A. In moving from \( C \) to \( D \), work done by the force on the body is positive
B. In moving from \( B \) to \( C \), work done by the force on the
body is positive
C. In moving from \( A \) to \( B \), the body does work on the
system
D. In moving from \( O \) to \( A \), work is done by the body and is negative
Subject: Maths
centre Order of shape \( \quad \) of \( \quad \) rotation \( \quad \) rotat rotation
Equilateral Triangle
Rectangle 0
Square \( R \)
Find \( P, Q, R \) and \( S \) respectively.
A. Intersection point of medians, 2 , intersection point of diagonals, \( 90^{\circ} \)
B. Intersection point of medians, 2 , intersection point of
diagonals, \( 180^{\circ} \)
C. Intersection point of altitudes, \( 4, \) intersection point of
diagonals, \( 25^{\circ} \)
D. Intersection point of sides, \( 4, \) intersection point of diagonals, \( 45^{\circ} \)
Subject: Physics
The work-energy theorem states that
the change in
A. Kinetic energy of a particle is equal to the work done on it by the net force
B. Kinetic energy of a particle is equal to the work done by one of the forces acting on it
C. Potential energy of a particle is equal to the work done on it by the net force
D. Potential energy of a particle is equal to the work done by one of the forces acting on it
Subject: Physics
The wavelength and frequency of beam of light in water of refractive index \( 4 / 3 \) having wavelength 0.48 micron in air
are
A. \( 0.16 \times 10^{-6} m, 6.25 \times 10^{14} H z \)
В. \( 0.36 \times 10^{-6} m, 6.25 \times 10^{14} H z \)
c. \( 0.36 \times 10^{-6} m, 3.25 \times 10^{14} H z \)
D. \( 0.26 \times 10^{-6} m, 6.25 \times 10^{14} H z \)
Subject: Maths
Find the lengths of the arcs cut off from
a circle of radius \( 12 \mathrm{cm} \) by a chord 12 cm long. Also, find the area of the minor
segment. \( [\text {Take } \pi=\mathbf{3 . 1 4} \text { and } \sqrt{\mathbf{3}}=\mathbf{1 . 7 3} \)
Subject: Physics
Assertion
A charged metallic sphere when brought nearer to an uncharged metallic sphere, it may exert an attractive force, but once they touch
each other, they exert repulsive force.
Reason
The net electric field Inside a conductor
is zero.
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
The speed of sound in hydrogen at \( N T P \)
is \( 1270 m s^{-1} . \) Then the speed in a
mixture of hydrogen and oxygen in the ratio 4: 1 by volume will be
\( \mathbf{A} \cdot 317 m s^{-1} \)
B . \( 635 \mathrm{ms}^{-1} \)
c. \( 830 m s^{-1} \)
D. \( 950 \mathrm{ms}^{-1} \)
Subject: Chemistry
Statement(A): For green house effect, presence of green plants is essential.
Statement \( (\mathrm{R}): C O_{2} \) and water vapour
present in the atmosphere absorb the re-emitted IR radiation from the
earths surface and warm the air
A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true but R is not correct explanation of A
c. \( A \) is true and \( R \) is false
D. A is false and R is true
Subject: Chemistry
Three elements \( A, B \) and \( C \) belong to
the same group of the modern periodic table such that the difference in atomic
weight of \( A \) and \( B \) is equal to the
difference in atomic weight of \( B \) and \( C \) The sum of atomic weights of elements \( A \) and \( C \) is 46 and that of \( A \) and \( B \) is 30
Identify elements \( A, B \) and \( C . \)
Subject: Physics
If the escape speed of a projectile on Earth's surface is \( 11.2 k m s^{-1} \) and \( a \)
body is projected out with thrice this speed, then determine the speed of the body far away from the Earth:
A \( .56 .63 k m s^{-1} \)
B. \( 33 k m s^{-1} \)
\( \mathbf{c} \cdot 39 k m s^{-1} \)
D. \( 31.7 k m s^{-1} \)
Subject: Maths
Classify the following number as rational or irrational -
(i) \( 2-\sqrt{5} \)
(ii) \( (3+\sqrt{23})-\sqrt{23} \)
(iii) \( \frac{2 \sqrt{7}}{7 \sqrt{7}} \)
(iv) \( \frac{1}{\sqrt{2}} \)
(v) \( 2 \pi \)
Subject: Maths
Let \( E_{1}, E_{2}, E_{3} \dots E_{N} \) be the 'n' exhaustive
events in a random experiment then
\( \boldsymbol{p}\left(\boldsymbol{E}_{1}\right) \boldsymbol{p}\left(, \boldsymbol{E}_{2}\right), \boldsymbol{p}\left(\boldsymbol{E}_{3}\right) \ldots \boldsymbol{p}\left(\boldsymbol{E}_{N}\right) \) is
A. less than
B. equal to
c. greater than 1
D. none
Subject: Physics
Multiple Correct Answers Type The values of measurement of a
physical quantity in five trials were found to be 1.51,1.53,1.53,1.52 and
\( \mathbf{1 . 5 4} . \) Then
A. Average absolute error is 0.01
B. Relative error is 0.01 .
c. Percentage error is \( 0.01 \% \)
D. Percentage error is \( 1 \% \).
Subject: Chemistry
The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an alkyne: The
bromoalkane and alkyne respectively
are:
A \( \cdot B r C H_{2} C H_{2} C H_{2} C H_{2} C H_{3} \) and \( C H_{3} C H_{2} C=C H \)
B. \( B r C H_{2} C H_{2} C H_{3} \) and \( C H_{3} C H_{2} C H_{2} C=C H \)
C. \( B r C H_{2} C H_{2} C H_{2} C H_{2} C H_{3} \) and \( C H_{3} C=C H \)
D. \( B r C H_{2} C H_{2} C H_{2} C H_{3} \) and \( C H_{3} C H_{2} C=C H \)
Subject: Maths
The cost of an article is Rs.6,000 to a
distributor. He sells it to a trader for Rs.
7,500 and the trader sells it to a customer for Rs. \( 8,000 . \) If the VAT rate is \( 12.5 \% ; \) find the VAT paid by the: (i) distributor
(ii) trader.
A . (i) Rs. 137.50
(ii) Rs. 71.22
B. (i) Rs. 187.50
(ii) Rs. 62.50
c. (i) Rs. 263.50
(ii) Rs. \$\$50.50\$
D. None of these
Subject: Maths
When \( \boldsymbol{x}=\mathbf{3} \) and \( \boldsymbol{y}=\mathbf{5}, \) by how much
does the value of \( 3 x^{2}-2 y \) exceed the
value of \( 2 x^{2}-3 y ? \)
A . 4
в. 14
c. 19
D. 20
\( E \cdot 50 \)
Subject: Chemistry
A beam of light has three \( \lambda \) \( 4144 A, 4972 A \) and \( 6216 A \) with a total intensity of \( 3.6 \times 10^{-3} W m^{-2} \) equally
distributed amongst the three \( \lambda \). The
beam falls normally on an area \( 1.0 \mathrm{cm}^{2} \) of a clean metallic surface of work
function \( 2.3 e V . \) Assume that there is
no loss of light by reflection etc. Calculate the no. of photoelectrons emitted in 2 sec.
Subject: Physics
A candle is placed \( 20 \mathrm{cm} \) from the surface of a convex mirror and a plane mirror is also placed so that the virtual images in the two mirrors coincide. If the plane mirror is \( 12 \mathrm{cm} \) away from the object, what is the focal length of the convex mirror?
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 15 \mathrm{cm} \)
\( \mathbf{c} \cdot 10 \mathrm{cm} \)
D. \( 5 \mathrm{cm} \)
Subject: Maths
The area of the region bounded by the curve \( y=x^{2} \) and \( y=4 x-x^{2} \) is
A \( \cdot \frac{16}{3} \) sq.units
B. \( \frac{8}{3} \) sq.units
c. \( \frac{4}{3} \) sq.units
D. \( \frac{2}{3} \) sq.units
Subject: Chemistry
The correct matching is:
\( \mathbf{A} \cdot|-a,\|-b,\||-c, \mid V-d \)
\( B \cdot|-b,||-a,|||-d, \mid V-c \)
C. \( \mid-d,\|-c,\| I-b, I V-a \)
\( D \cdot|-b,||-c,|||-d, \mid V-a \)
Subject: Physics
The coercivity of a small magnet where the ferromagnet gets demagnetized is
\( 3 \times 10^{3} A m^{-1} . \) The current required to
be passed in a solenoid of length \( 10 \mathrm{cm} \)
and number of turns \( 100, \) so that the magnet gets demagnetized when inside the solenoid, is:
\( A \cdot 3 A \)
в. \( 6 A \)
\( c .30 m A \)
D. \( 60 \mathrm{mA} \)
Subject: Physics
A physical quantity x depends on
quantities \( y \) and \( z \) as follows \( : x= \)
\( \boldsymbol{A} \boldsymbol{y}+\boldsymbol{B} \boldsymbol{t a n}\left(\boldsymbol{C}_{z}\right), \) where \( \boldsymbol{A}, \mathbf{B} \) and \( \boldsymbol{C} \) are
constants. Which of the followings do not have the same dimensions?
A. \( x \) and \( B \)
B. \( c \) and \( z^{-} \)
c. y and B/A
D. x and A
Subject: Physics
A mass m rotates in a vertical circle of
radius \( \mathrm{R} \) 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
The median of 230 observations of the
following frequency distribution is 46
Find \( a \) and \( b: \)
\( \begin{array}{lllll}\text { Class } & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}20- \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 40\end{array} & \begin{array}{l}\text { 40- } \\ \text { 50 }\end{array}\end{array} \)
12 \( \quad \) 30 Frequency a
Subject: Physics
A \( 2 \mathrm{m} \) long conductor, carries a current
of \( 50 \mathrm{A} \) at a magnetic field of \( 10^{-1} \) T. The force on the conductor is:
A . 10 N
B. 100 N
\( c \cdot 1000 N \)
D. \( 10,000 \mathrm{N} \)
Subject: Chemistry
Many hundred years ago, a ship was transporting calcium carbide and calcium phosphide (stored in different container). By chance sea-water entered sea and luminous flame appeared a ghost would have come. However, a chemist travelling in it explained it based on reactions. These reactions are \( \underset{\text { Calcium }}{\boldsymbol{C a C}_{2}}+\mathbf{6 H}_{2} \boldsymbol{O} \longrightarrow \)
\( \boldsymbol{C a}(\boldsymbol{O H})_{2}+ \)
\( \underset{\text { Acetylene }}{C_{2} H_{2}} \quad_{\text {Calcium phosphide }}+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \mathbf{3} \boldsymbol{C} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{2}+\underset{\boldsymbol{P h o s p h i n e}}{\boldsymbol{2 P H}_{\boldsymbol{e}}} \)
A. True
B. False
Subject: Maths
\( \mathbf{f} \mathbf{A}=\left\{\begin{array}{ll}\mathbf{0} & \mathbf{2} \\ \mathbf{3} & -\mathbf{4}\end{array}\right\}, \mathbf{k} \mathbf{A}=\left\{\begin{array}{ll}\mathbf{0} & \mathbf{3} \mathbf{a} \\ \mathbf{2} \mathbf{b} & \mathbf{2 4}\end{array}\right\} \)
then arrange the values of \( k, a, b, \) in
ascending order
\( \mathbf{A} \cdot k, a, b \)
в. \( b, a, k \)
\( \mathbf{c} \cdot a, k, b \)
\( \mathbf{D} \cdot b, k, a \)
Subject: Physics
You are given two lenses, a converging lens with focal length \( +10 \mathrm{cm} \) and a diverging lens with focal length -20 \( \mathrm{cm} \) Which of the following would produce a real image that is smaller than the object?
A. Placing the object 5 cm from the converging lens
B. Placing the object 15 cm from the converging lens
c. Placing the object 25 cm from the converging lens
D. Placing the object \( 15 \mathrm{cm} \) from the diverging lens
Subject: Physics
Assertion
In the Rutherford experiment, most of
the \( \alpha \) particles passed without any
deviation through the gold foil.
Reason
The entire positive charge and nearly all
of the mass of an atom is concentrated
in the centre of the atom known as
nucleus.
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
Q Type your question
mass-less thread in vertical plane.
When a beam of light of intenisty
\( 1 W m^{-2} \) is made an incident normally
on the mirror, it gets displaced so that
the thread makes angle \( \theta \) with the
vertical. Assuming the mirror is
perfectly reflecting, the value of \( \boldsymbol{\theta} \)
(Consider it very small) is
\( ^{A} \cdot \frac{2 I m}{c a q} \)
в. \( \frac{2 I c}{m a} \)
c. \( \frac{2 I g}{c a m} \)
D. \( \frac{2 I a}{c m q} \)
Subject: Maths
The king of a province proposes a new law that would give a tax credit to parents who homeschool their children.
\( 10 \% \) of ministers approve of the law. Of these, 7 out of 10 are women. All other ministers are against the law. If there are equal numbers of men and women in his ministry department, then what fraction of male ministers approve of
the ordinance?
A \( \cdot \frac{3}{10} \)
B. \( \frac{3}{47} \)
c. \( \frac{3}{50} \)
D. \( \frac{3}{100} \)
Subject: Maths
Which of the following pairs represent the same rational number?
This question has multiple correct options
A \( \cdot \frac{-7}{21} \) and \( \frac{3}{9} \)
B. \( \frac{-16}{20} \) and \( \frac{20}{-25} \)
c. \( \frac{-2}{-3} \) and \( \frac{2}{3} \)
D. \( \frac{-3}{5} \) and \( \frac{-12}{20} \)
E \( \frac{8}{-5} \) and \( \frac{-24}{15} \)
F. \( \frac{1}{3} \) and \( \frac{-1}{9} \)
Subject: Physics
In a balanced wheat stone bridge,
current in the galvanometer is zero. It
remains zero when
\( [1] . \) battery emf is increased
\( [2] . \) all resistances are increased by 10 ohms
\( [3] . \) all resistances are made five times
\( [4] . \) the battery and the galvanometer are interchanged
A . only [1] is correct
B. [1],[2] and [3] are correct
c. [1],[3] and [4] are correct
D. [1] and [3] are correct