AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A conducting slider of resistance
\( R(10 \Omega), \) mass \( 50 g \& \) length10cm is
kept on a U-shaped frame as shown in
figure. There is uniform magnetic field
\( (B=0.1 T) \) perpendicular to plane of
frame. The slider is attached to a spring \( (K=0.5 N / m) . \) The slider is displaced
by an amount \( A_{0} \& \) released. Time in
which its amplitude become \( A_{0} / e \) is
A . \( 9000 s \)
B. 10000 s
c. \( 12000 s \)
D. 15000 s
Subject: Physics
Which of the following statements are
true about acceleration due to gravity?
This question has multiple correct options
A. \( g \) decreases in moving away from the centre if \( r>R \)
B. \( g \) decreases in moving away from the centre if \( r<R \)
C. \( g \) is zero at the centre of the earth
D. \( g \) decreases if earth stops rotating on its axis
Subject: Chemistry
Orbits or shells are represented by:
A. The letters \( K . L, M, N, \ldots \) or the numbers, \( n=1,2,3,4, \ldots \)
B. Only by the numbers \( n=1,2,3,4 \)
C. Only by the letter \( \mathrm{K}, \mathrm{L}, \mathrm{M}, \mathrm{N} \)
D. None of the above
Subject: Chemistry
Consider the following cell:
\[
\begin{array}{c}
\boldsymbol{P t}, \boldsymbol{H}_{2}(\boldsymbol{g}) \mid \boldsymbol{2} \boldsymbol{M} \boldsymbol{C H}_{3} \boldsymbol{C O O N H}_{4}(\boldsymbol{a} \boldsymbol{q}) \| \mathbf{2} \boldsymbol{n} \\
20
\end{array}
\]
\( a+m \)
0.2 atm
Given, \( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}} \boldsymbol{o} \boldsymbol{f} \boldsymbol{C H}_{3} \boldsymbol{C O O H}= \)
4.74 and \( p K_{b} \) of \( N H_{4} \) OHis4.74.
If \( E \) is e.m.f. of the cell in volt, then the value of \( 1000 \mathrm{E} \) is \( \left[\text { Take } \frac{2.303 R T}{F}=\right. \) 0.059]\( (\text { e.g. }, \text { if the value is } 56, \) then write
answer as \( 6) \)
Subject: Maths
The value of \( \sin ^{-1}\left(x^{2}-4 x+6\right)+ \)
\( \cos ^{-1}\left(x^{2}-4 x+6\right) \) for all \( x \epsilon R \) is
A \( \cdot \frac{\pi}{2} \)
в. \( \pi \)
\( c \cdot 0 \)
D. none of these
Subject: Maths
Which of the following is a rational function?
A \( \cdot \frac{1}{3} \sqrt{4 x^{3}+4 x+7} \)
в. \( \frac{3 x^{3}-7 x+1}{x-2}, x \neq 2 \)
c. \( \frac{3 x^{5}+5 x^{3}+2 x+7}{x^{3 / 2}}, x>0 \)
D. \( \frac{\sqrt{1+x}}{2+5 x}, x \neq-2 / 5 \)
Subject: Maths
\( \begin{array}{|ccc|}\text { If } \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}= & \mathbf{0} \text { ,find } \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{x}^{\mathbf{2}} & \boldsymbol{y}^{\mathbf{2}} & \boldsymbol{z}^{\mathbf{2}} \\ \boldsymbol{y}+\boldsymbol{z} & \boldsymbol{z}+\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}\end{array} \)
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{5} & \mathbf{5} \boldsymbol{a} & \boldsymbol{a} \\ \mathbf{0} & \boldsymbol{a} & \mathbf{5} \boldsymbol{a} \\ \mathbf{0} & \mathbf{0} & \mathbf{5}\end{array}\right] \) If \( \left|\boldsymbol{A}^{2}\right|=\mathbf{2 5} \) then
\( |\boldsymbol{a}|= \)
\( A \cdot 5 \)
В. \( 5^{2} \)
\( c \)
\( D \)
Subject: Chemistry
An organic compound 'A', \( C_{8} H_{6} \) on
reacting with dil \( H_{2} S O_{4} \) and \( H g S O_{4} \) gives a compound'B' which can also be obtained from reaction of benzene with
acid chloride in the presence of anh.
\( A l C l_{3} . \) Compound 'B' when reacted with
iodine and aq. NaOH yields 'C' and a yellow compound 'D'. Identify A to D with proper justification.
Subject: Chemistry
Which statement is incorrect about
peptide bond?
\[
-C-\ddot{N} H-(\text { peptide bond })
\]
A. \( C N \) bond length in patients is longer than the usual bond length of N-bond
в. о
spectroscopic analysis show planar structure
c. \( C N \) bond length in proteins is smaller than usual bond length of \( C N \) bond
D. None of above
Subject: Chemistry
A graph of concentration versus time
data for a first-order reaction gives a
straight line in which of the following plots of the data?
A \( \cdot[A]_{t}=-k t+[A]_{0} \)
B \( \cdot \ln [A]_{t}=-k t+\ln [A]_{0} \)
c. \( \frac{1}{[A]_{t}}=k t+\frac{1}{[A]_{0}} \)
D. All of the above
E. None of the above
Subject: Maths
Solve the following linear programming problem:
\[
\begin{array}{c}
\text { Maximise: } \boldsymbol{z}=\mathbf{1 5 0} \boldsymbol{x}+\mathbf{2 5 0} \boldsymbol{y} \\
\text { Subject to: } \mathbf{4} \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{4 0} \\
\mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y} \leq \mathbf{6 0} \\
\boldsymbol{x} \geq \mathbf{0} \\
\boldsymbol{y} \geq \mathbf{0}
\end{array}
\]
Subject: Chemistry
In qualitative analysis, the metals of Group I can be separated from other ions by precipitating them as chloride
salts. A solution initially contains \( A g^{+} \)
and \( P b^{2+} \) at a concentration of 0.10 M.
Aqueous HCl is added to this solution
until the \( C l^{-} \) concentration is 0.10 M.
What will the concentration of \( A g^{+} \) and
\( P b^{2+} \) be at equilibrium? \( \left(K_{s p} \text { for } A g C l=1.8 \times 10^{-10}, K_{s p} \) for \right.
\[
\left.P b C l_{2}=1.7 \times 10^{-5}\right)
\]
\( \mathbf{A} \cdot\left[A g^{+}\right]=1.8 \times 10^{-11} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-4} M
\]
B . \( \left[A g^{+}\right]=1.8 \times 10^{-7} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-6} M
\]
c. \( \left[A g^{+}\right]=1.8 \times 10^{-11} M \)
\[
\left[P b^{2+}\right]=8.5 \times 10^{-5} M
\]
D \( \cdot\left[A g^{+}\right]=1.8 \times 10^{-9} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-3} M
\]
Subject: Chemistry
What is incorrectly matched?
\( \mathbf{A} \cdot C s B r_{3} \rightleftharpoons C s^{\oplus}+B r_{3}^{\ominus} \rightleftharpoons C s^{\oplus}+B r^{\ominus}+B r_{2} \)
B \( \cdot I_{4} O_{9} \rightleftharpoons I^{3}+3\left(I O_{3}\right)^{\ominus} \)
\( \mathbf{c} \cdot A g B r O_{3} \rightleftharpoons A g^{\oplus} B r_{3}^{\ominus} \)
\( \mathbf{D} \cdot I_{2} O_{4} \rightleftharpoons I O_{2}^{\oplus}+I O_{2}^{\ominus} \)
Subject: Chemistry
\( \boldsymbol{H} \) -atoms in ground state \( (\mathbf{1 3 . 6 e V}) \) are excited by monochromatic radiations of
photon of energy \( 12.1 e V \). The number of spectral lines emitted in \( \boldsymbol{H} \) -atom will
be:
A . 1
B. 2
\( c .3 \)
D. 6
Subject: Maths
"If \( p, \) then \( q^{\prime \prime} \) is logically equivalent to which of the following?
I. If \( q, \) then \( p \)
II. If not \( p, \) then not \( q \)
III. If not \( q, \) then not \( p \)
A. None of the above
B. III Only
c. I and II only
D. I and III only
E. I, II and III
Subject: Physics
Which of the following engines is more
efficient?
A. Heat utilised - 80 kilojoules, work done - 32 kilojoules
B. Heat utilised - 60 kilojoules, work done - 12 kilojoules
C. Heat utilised - 50 kilojoules, work done - 25 kilojoules
D. Heat utilised - 90 kilojoules, work done - 27 kilojoules
Subject: Chemistry
The value of Ke for the reaction, \( 2 A \rightleftharpoons \)
\( B+C \) is \( 2 \times 10^{-3} . \) At a given time, if
the composition of reaction mixture is
\( [\boldsymbol{A}]=[\boldsymbol{B}]=[\boldsymbol{C}]=\mathbf{3} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{M} \)
Which is true?
A. The reaction will proceed in forward direction
B. The reaction will proceed in backward direction
C. The reaction will proceed in any direction
D. None of the above
Subject: Maths
Identify the median class.
\( \begin{array}{lllll}\text { Farm } & \mathbf{2 0}- & \mathbf{5 0}- & \mathbf{8 0}- & \mathbf{1 1 0} \\ \text { size } & \mathbf{5 0} & \mathbf{8 0} & \mathbf{1 1 0} & \mathbf{1 4 0}\end{array} \)
Rooms \( 4 \quad 8 \quad 12 \)
A. \( 20-50 \)
B . \( 50-80 \)
c. \( 80-110 \)
D. \( 110-140 \)
Subject: Maths
Two vectors \( \vec{A} \) and \( \vec{B} \) inclined at an
angle \( \theta \) have a resultant \( \vec{R} \) which makes an angle \( \alpha \) with \( \vec{A} \) and angle \( \beta \) with \( \vec{B} \). Let the magnitudes of the vectors \( \vec{A}, \vec{B} \) and \( \vec{R} \) be represented by \( A \) B and R respectively. Which of the following relations is not correct?
A . Asin\alpha \( =B \sin \beta \)
B. \( R \sin \alpha=B \sin (\alpha+\beta) \)
c. \( R \sin \beta=\operatorname{Asin}(\alpha+\beta) \)
D. None of these
Subject: Maths
Let
\( \boldsymbol{p}: \mathbf{5 7} \) is an odd prime number \( q: 4 \) is a divisor of 12 \( \boldsymbol{r}: \mathbf{1 5} \) is the LCM of \( \boldsymbol{3} \) and \( \mathbf{5} \)
be three simple logical statements. Which one of the following is true?
A \( . p \vee(\sim q \wedge r) \)
В \( . \sim p \vee(q \wedge r) \)
c. \( (p \wedge q) \vee \sim r \)
D. \( (p \vee(q \wedge r) \)
E . \( (p \vee q) \wedge r \)
Subject: Physics
A plano-convex lens (focal length \( f_{2} \)
refractive index \( \mu_{2} \), radius of curvature
\( R \) ) fits exactly into a plano-concave lens
(focal length \( f_{1} \), refractive index \( \mu_{1} \) radius of curvature \( \boldsymbol{R} \) ). Their plane
surfaces are parallel to each other. Then, the focal length of the combination will be :
A \( . f_{1}-f_{2} \)
в. \( f_{1}+f_{2} \)
c. \( \frac{R}{\mu_{2}-\mu_{1}} \)
D. \( \frac{2 f_{1} f_{2}}{f_{1}+f_{2}} \)
Subject: Physics
10 g of ice at \( -20^{\circ} C \) is dropped into a calorimeter containing 10 g of water at \( 10^{\circ} \mathrm{C} ; \) the specific heat of water is twice that of ice. When equilibrium is reached, the calorimeter will contain:
A. \( 20 \mathrm{g} \) of water
B. 20 g of ice
c. \( 10 \mathrm{g} \) ice and \( 10 \mathrm{g} \) water
D. 5 g ice and 15 g water
Subject: Physics
A cell of emf \( ^{\prime} E^{\prime} \) and internal resistance
\( r^{\prime} \) draws a current \( ^{\prime} I^{\prime} . \) Write the relation
between terminal voltage \( ^{\prime} V^{\prime} \) in terms
of \( \boldsymbol{E}, \boldsymbol{I} \) and \( \boldsymbol{r} \)
Subject: Chemistry
Which of the following reactions involves the combination of two
elements?
A \( \cdot C a O+C O_{2} \rightarrow C a C O_{3} \)
в. \( 4 N a+O_{2} \rightarrow 2 N a_{2} O \)
c. \( s o_{2}+\frac{1}{2} o_{2} \rightarrow S O_{3} \)
D. \( N H_{3}+H C l \rightarrow N H_{4} C l \)
Subject: Chemistry
\( _{\mathrm{H}_{3} \mathrm{C}}^{\mathrm{O}} \) 山 \( _{\mathrm{CH}_{3}} \frac{_{\mathrm{l}, \mathrm{NaBH}_{4}}}{2 . \mathrm{D}_{3} \mathrm{o}^{+}}>\mathrm{X} \)
\( \mathbf{X}=\mathbf{Y}=\quad \underset{\mathbf{H}_{3} \mathbf{C}}{\mathbf{C}} \stackrel{\mathbf{D}}{\mathbf{C}}_{\mathbf{C H}_{3}}^{\text {oD }} \)
\( \mathbf{X}=\mathbf{Y}=\underbrace{\mathbf{H}}_{\mathbf{H}_{3} \mathbf{C}}^{\mathbf{O} \mathbf{H}}_{\mathbf{C H}_{3}} \)
Subject: Maths
Choose the correct option.
This question has multiple correct options
\( \mathbf{A} \cdot T_{n+2}-T_{n-1} \) is divisible by 2
\( ^{\mathbf{B}} \cdot \frac{T_{n+1}+T_{n-1}}{T_{n}}=2 r \)
C. Neither (A) nor (B)
D. None of the above
Subject: Physics
Assertion
The electromagnetic wave is transverse
in nature.
Reason
Electromagnetic wave propagates
parallel to the direction of electric and
magnetic fields.
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
Which of the following is redox
reaction?
\( \mathbf{A} \cdot N a O H+H C I \rightarrow N a C l+H_{2} O \)
B. \( A g N O_{3}+K l \rightarrow A g l+K N O_{3} \)
\( \mathbf{c} \cdot B a O_{2}+H_{2} S O_{4} \rightarrow B a S O_{4}+H_{2} O_{2} \)
\( \mathbf{D} \cdot \operatorname{Sn} C l_{2}+H g C l_{2} \rightarrow S n C l_{4}+H g \)
Subject: Physics
Two capacitors of capacities \( 3 \mu \mathrm{F} \) and \( 6 \mu F \) are connected in series and connected to
120V. The potential differences across \( 3 \mu \)
\( \mathrm{F} \) is \( V_{0} \) and the charge here is \( q_{0} . \) We have :
A) \( q_{0}=40 \mu C \)
B) \( V_{0}=60 V \)
\( \left.\mathrm{C}) V_{0}=80 \mathrm{V} \quad \mathrm{D}\right) q_{0}=240 \mu C \)
\( A \cdot A, C \) are correct
B. A, B are correct
c. \( B, \) D are correct
D. \( c, \) D are correct
Subject: Maths
Solution of the equation \( \tan \left(\cos ^{-1} x\right)=\sin \left(\cot ^{-1} \frac{1}{2}\right) \)
A \( \cdot x=\pm \frac{\sqrt{7}}{3} \)
B. \( x=\pm \frac{\sqrt{5}}{3} \)
c. \( x=\pm \frac{3 \sqrt{5}}{2} \)
D. None of these
Subject: Chemistry
In a reaction with two reactants, two
trials are performed. In both trials, the concentration of reactant \( \boldsymbol{A} \) is held
constant.

If the concentration of reactant \( B \) is
doubled and the rate of the reaction
increases by a factor of eight, what can be concluded from the reaction?
A. The order of reactant \( B \) in the overall rate law is 3
B. The order of reactant \( A \) in the overall rate law is 1
c. The order of reactant \( B \) in the overall rate law is 2
D. The order of reactant \( B \) in the overall rate law is 1
E. The order of reactant \( A \) in the overall rate law is 3
Subject: Maths
Solve \( : \frac{9}{x}-\frac{4}{y}=8 \) and \( \frac{13}{x}+\frac{7}{y}= \)
\( \mathbf{1 0 1} \)
A \( \cdot x=\frac{1}{7} y=\frac{1}{6} \)
В. \( x=\frac{3}{4} y=\frac{1}{6} \)
c. \( x=\frac{1}{4} y=\frac{1}{7} \)
D. \( x=\frac{2}{7} y=\frac{1}{7} \)
Subject: Physics
A meter bridge is set-up as shown, to
determine an unknown resistance \( \boldsymbol{X} \)
using a standard 10 ohm resistor. The
galvanometer shows null point when
tapping-key is at \( 52 \mathrm{cm} \) mark. The end-
corrections are \( 1 \mathrm{cm} \) and \( 2 \mathrm{cm} \)
respectively for the ends \( A \) and \( B \). The
determined value of \( ^{\prime} \boldsymbol{X}^{\prime} \) is:
A .10 .2 ohm
B. 10.6 ohm
c. 10.8 ohm
D. 11.1 ohm
Subject: Physics
A motor of \( 50 ~ W \) runs for 20 hrs. How
many 'units' ( \( k W h \) ) of electrical energy are consumed?
\( \mathbf{A} .5 \mathrm{kWh} \)
в. \( 2 k W h \)
\( c \cdot 1 k W h \)
D. \( 2.5 \mathrm{kWh} \)
Subject: Physics
Three different vibrating bodies produce three types of sounds \( X, Y \) and \( Z \) Sounds \( X \) and \( Y \) cannot be heard by a
man having normal range of hearing but sound \( Z \) can be heard easily. The sound \( X \) is used to find faults and
cracks in metals.The sound similar to
that which is produced during an earthquake before the main shock wave is generated.
Name one device which can produce
sound like \( X \)
A. Megaphone
B. SONAR
c. Bulb horn
D. Ear mufflers
Subject: Physics
The pully of the system shown in Fig. is massless and frictionless and thread is
inextensible. The horizontal surface
over which block \( \mathrm{C} \) is placed is smooth while coefficient for all the remaining
surfaces is \( \mu \)

Calculate minimum accleration a with
which the system should be moved to the right so that suspended blocks \( A \) (mass \( m \) ) and \( B(\text { mass } M \text { and } N>m) \)
can remain stationary relative to \( C \)
Subject: Physics
Assertion
The third law of motion concludes that
the forces occur in pairs of action and
reaction.
Reason
The action force is more than the
reaction force.
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
In the given reaction:
\( \boldsymbol{C H}_{3}-\underset{C D_{3}}{C_{\mid} H-C H}^{O H} \)
\( \boldsymbol{C H}_{3} \frac{\operatorname{conc.H}_{2} \mathrm{SO}_{4} / \Delta}{\text { Alkenes }} \)
Total number of alkenes (Including stereo isomers) formed will be
Subject: Maths
Compute mode of the following
distribution by inspection method.
\( \begin{array}{ccccccc}\chi & 1 & 2 & 3 & 4 & 5 & 6 \\ f & 4 & 6 & 8 & 12 & 17 & 11\end{array} \)
\( \mathbf{A} \cdot 15.09 \)
B. 5
c. 14.42
D. 15
Subject: Physics
The moment of inertia of a uniform
circular disc about its diameter is 200 gm \( c m^{2} \). Then its moment of inertia
about an axis passing through its center and perpendicular to its circular face is
A \( \cdot 100 \mathrm{gm} \mathrm{cm}^{2} \)
в. 200 gm \( c m^{2} \)
\( \mathrm{c} \cdot 400 \mathrm{gm} \mathrm{cm}^{2} \)
D. 1000 gm \( c m^{2} \)
Subject: Maths
Mean deviation of
\( \mathbf{3 9}, \mathbf{4 0}, \mathbf{4 0}, \mathbf{4 1}, \mathbf{4 1}, \mathbf{4 2}, \mathbf{4 2}, \mathbf{4 3}, \mathbf{4 3}, \mathbf{4 4}, \mathbf{4 4}, \mathbf{4} \)
from their median is?
A . 15
в. 1.5
c. 42
D. 35 5
Subject: Physics
Two identical cylindrical vessels with
their bases at the same level, each
contains a liquid of density \( \rho \)
The height of the liquid in one vessel is
\( h_{1} \) and that in the other is \( h_{2} . \) The area
of either base is A. The work done by
gravity in equalizing the levels when the vessels are interconnected, is:
A \( \cdot \operatorname{Agg}\left(\frac{h_{1}-h_{2}}{2}\right) \)
B. \( \operatorname{Apg}\left(\frac{h_{1}-h_{2}}{2}\right)^{2} \)
\( ^{\mathbf{c}} \cdot \operatorname{A\rhog}\left(\frac{h_{1}-h_{2}}{4}\right) \)
D \( \operatorname{Apg}\left(\frac{h_{1}-h_{2}}{4}\right)^{2} \)
Subject: Maths
Let \( \boldsymbol{A}=\{-\mathbf{7}, \mathbf{5}, \mathbf{2}\} \) and \( \boldsymbol{B}= \)
\( \{\sqrt[3]{125}, \sqrt{4}, \sqrt{49}\} \)
Are the sets \( A \) and \( B \) equal? Choose the correct option for the above. Justify
your answer.
A. Yes
B. No
c. Ambiguous
D. Data insufficient
Subject: Biology
Consider these sentences regarding the structure and nature of DNA.
I. DNA has two pyrimidine bases that contain single ring structure.
II. In DNA, composition of bases should be \( \frac{\boldsymbol{A}+\boldsymbol{T}}{\boldsymbol{G}+\boldsymbol{C}}=\mathbf{1} \)
III. Each base pair of DNA is \( 3.4 A \) apart from other base pairs.
IV. The nucleosome model DNA
packaging was proposed by Kornberg and Thomas.

Choose the correct statements from the
given options.
A. I and III
B. I, II and III
c. ॥, ॥ा and IV
D. I, III and IV
Subject: Physics
A man standing on a high bridge over a creek throws a rock straight down. Just as he throws the rock he accidentally drops another rock. Neglecting air resistance, which statement best describes the situation just after the
rocks reach the water?
A. The acceleration of the thrown rock is greater
B. The acceleration of the dropped rock is greater
c. The acceleration of both rocks is same
D. The average velocity of both rocks is the same
E. The final velocity of both rocks is the same
Subject: Physics
\( 10 k g \) of hot water in a bucket at \( 70^{\circ} \mathrm{C} \)
is cooled for taking a bath adding to it
\( 20 k g \) water at \( 20^{\circ} C . \) What is the
temperature of the mixture? (Neglect the thermal capacity of the bucket)
A \( \cdot 30.67^{\circ} \mathrm{C} \)
в. \( 36.67^{\circ} \mathrm{C} \)
\( c \cdot 60.67^{\circ} C \)
D. \( 46.67^{\circ} \mathrm{C} \)
Subject: Chemistry
The monomer of Natural Rubber is:
\( \mathbf{A} \cdot C H_{2}=C \quad-\quad C H=C H_{2} \)
\( C H_{3} \)
B. \( C l \)
\[
C H_{2}=C \quad-\quad C H=C H_{2}
\]
\( \mathbf{c} \cdot C H_{2}=C H-C H=C H_{2} \)
D. None of these
Subject: Physics
Match list I and list II.
List I

List II
\( \mathbf{A} \cdot_{\mathbf{1}}^{2} \boldsymbol{H}+_{\mathbf{1}}^{\mathbf{3}} \boldsymbol{H} \rightarrow_{\mathbf{2}}^{\mathbf{4}} \boldsymbol{H} \boldsymbol{e}+_{\mathbf{0}}^{\mathbf{1}} \boldsymbol{n}+\mathbf{1 7} \mathbf{. 6} \boldsymbol{M} \boldsymbol{e} \boldsymbol{V} \)
1. Artificial radioactivity
B. \( _{92}^{235} U+_{0}^{1} n \rightarrow_{56}^{143} B a+_{36}^{90} K r+3_{0}^{1} n+ \)
\( 200 M e v \quad \) 2. Isodiaphers
\( \mathrm{C} \cdot_{13}^{23} A l+_{2}^{4} H e \rightarrow_{14}^{30} S i+_{1}^{1} H \)
3. Atom Bomb
\( \mathrm{D} \cdot_{Z}^{m} \boldsymbol{A} \stackrel{-\alpha^{m-4}}{\rightarrow}_{Z-2} \boldsymbol{B} \)
4. Nuclear Fissio
5. Nuclear Fusion
\( A \cdot A-5 ; B-3,4 ; C-1 ; D-2 \)
B. A - 2; B - 3,4; C - 1; D - 5
c. \( A-1,5 ; B-3 ; C-4 ; D-2 \)
D. A - 3,4; B - 1; C - 5; D - 4,2
Subject: Physics
A siphon has a uniform circular base of
diameters \( 8 / \sqrt{\pi} \mathrm{cm} \) with its crest \( \boldsymbol{A} \)
1.8 \( m \) above the water level vessel \( B \) is
of large cross section \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
and atmosphere pressure \( \boldsymbol{P}_{0}= \)
\( \mathbf{0}^{\mathbf{5}} \mathbf{N} / \mathbf{m}^{\mathbf{2}} \mathbf{)} \)
This question has multiple correct options
A. Velocity of flow through pipe is \( 6 \sqrt{2} \mathrm{m} / \mathrm{s} \)
B. Discharge rate of flow through pipe is \( 96 \sqrt{2} \times \) \( 10^{-4} m^{3} / s \)
C. Velocity of flow through pipe is \( 6 \mathrm{m} / \mathrm{s} \)
D. Pressure of \( A \) is \( 0.46 \times 10^{-5} \mathrm{N} / \mathrm{m}^{2} \)
Subject: Physics
An Insulated vessel contains \( 0.4 \mathrm{kg} \) of
water at \( 0^{\circ} \mathrm{C} . \) A piece of \( 0.1 \mathrm{kg} \) ice at
\( -15^{\circ} C \) is put into it and steam at
\( 100^{\circ} \mathrm{C} \) is bubbled into it until all ice is
melted and finally the contents are
liquid water at \( 40^{\circ} \mathrm{C} \). Assume that
the vessel does not give or take any heat and there is no loss of matter and heat
to the surroundings. Specific heat of ice is \( 2.2 \times 10^{3} J k g^{-1} K^{-1} \) heat of fusion of
water is \( 333 \times 10^{3} J k g^{-1} \) heat of
vaporization of water is \( 2260 \times \)
\( 10^{3} J k g^{-1} . \) The amount of steam that
was bubbled into the water is:
A . \( 34.7 g \)
в. \( 236 g \)
C . 0.023 g
D. \( 48.01 g \)
Subject: Maths
\( \boldsymbol{g}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{g}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{y})+\mathbf{3} \boldsymbol{x} \boldsymbol{y}(\boldsymbol{x}+ \)
\( \boldsymbol{y}) \forall \boldsymbol{x}, \boldsymbol{y} \boldsymbol{\epsilon} \boldsymbol{R} \) and \( \boldsymbol{g}^{\prime}(\mathbf{0})=-4 . \) For which of
the following values of \( x \) is \( \sqrt{g(x)} \) not
defined?
A \( \cdot[-2,0] \)
в. \( [-2, \infty] \)
c. [-1,1]
D. none of these
Subject: Physics
Two masses of \( 1 \mathrm{gm} \) and \( 4 \mathrm{gm} \) are moving with equal kinetic energies.The ratio of the magnitudes of their linear
momenta is:
\( A \cdot 4: 1 \)
B. 2:1
\( c \cdot 1: 2 \)
D. 1:16
Subject: Physics
Statement-1: The core of the transformer
is laminated to avoid loss of energy. Statement-2: A laminated metal sheet
placed in a changing magnetic field has
lower eddy current.
A. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
B. Statement-! is true, statement-2 is false
c. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement- -
D. Statement-1 is false, statement-2 is true
Subject: Chemistry
Answer the following question:
Calculate the effective atomic
number(e.a.n.) of copper in
\( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+}[\boldsymbol{Z} \text { of } \boldsymbol{C u}=\boldsymbol{2 9}] \)
2. Explain ionisation isomerism in coordination compounds with a suitable example.
Subject: Maths
\( \int \frac{1}{x \sqrt{x^{2}-1}} d x \) is equal to
\( \mathbf{A} \cdot \cos ^{-1} x+C \)
B . \( \sec ^{-1} x+C \)
\( \mathbf{c} \cdot \cot ^{-1} x+C \)
D. \( \tan ^{-1} x+C \)
Subject: Physics
n' moles of an ideal gas undergoes a
process \( A \rightarrow B \) as shown in figure. The
maximum temperature of the gas
during the process will be :
A \( \cdot \frac{9 P_{0} V_{0}}{n R} \)
в. \( \frac{9 P_{0} V_{0}}{4 n R} \)
c. \( \frac{3 P_{0} V_{0}}{2 n R} \)
D. \( \frac{9 P_{0} V_{0}}{2 n R} \)
Subject: Maths
If \( 2 x+\frac{1}{3 x}=5 \) then the value of
\( \frac{5 x}{6 x^{2}+20 x+1} \) is
A \( \cdot \frac{3}{7} \)
B. \( \frac{2}{7} \)
\( c \cdot \frac{1}{7} \)
D.
Subject: Physics
Two point charges \( +q \) and \( -q \) are held fixed at \( (-d, 0) \) and \( (d, 0) \) respectively of
a \( x-y \) coordinate system. Then:
A. The electric field \( \mathrm{E} \) at all points on the axis has the same direction
B. Work has to be done in bringing a test charge from \( \infty \) to the orgin
C. Electric field at all points on y-axis is along x-axis
D. The dipole moment is 2qd along the x-axis
Subject: Physics
Subtract \( 2.5 \times 10^{4} \) from \( 3.9 \times 10^{5} \) and
give the answer to correct number of significant figures.
A. \( 3.6 \times 10^{6} \)
B. \( 3.6 \times 10^{5} \)
c. \( 36 \times 10^{5} \)
D. \( 36 \times 10^{6} \)