AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
(a) Give reasons for the following.
(i) Bond enthalpy of \( F_{2} \) is lower than
that of \( C l_{2} \)
(ii) \( P H_{3} \) has lower boiling point than
\( N H_{3} \)
(b) Draw the structures of the following molecules.
(i) \( B r F_{3}\left(\text { ii) }\left(H P O_{3}\right)_{3}\right. \)
(iii) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\mathbf{4}} \)
Subject: Maths
A firm readymade garments makes both men's and women's shirts. Its
average profit it \( 6 \% \) of sales. Its profits in men's shirts average is \( 8 \% \) of sales and women's shirt comprise \( 60 \% \) of
output. The average profit per sales rupee in women's shirts is
A . 0.0466
B. 0.0666
c. 0.0166
D. None of these
Subject: Biology
Identify the correct pair of statements.
(i) Pericycle parenchymatous in dicot root but sclerenchymatous in mature
monocot root
(ii) Pericycle of both dicot and monocot root produces lateral roots during secondary growth
(iii) All cells of dicot root endodermis
are passage cells
(iv) Xylem is produced in centripetal manner in roots of fruit bearing plants.
A. (ii) and (iii)
B. (iii) and (iv)
c. (i) and (ii)
D. (i) and (iv)
Subject: Chemistry
The hybridization of \( I C l_{2}^{-} \) and \( C l O_{4}^{-} \) respectively are:
\( \mathbf{A} \cdot s p^{3} d^{2}, s p^{3} \)
B. \( s p^{2}, s p^{3} d \)
c. \( s p^{3} d, s p^{3} \)
D. None of these
Subject: Physics
and \( m_{3} \) are connected to the ends of a
mass-less rod of length \( L \) which lies at rest on a smooth horizontal plane. At
\( t=0, \) an explosion occurs between \( m_{2} \)
and \( m_{3}, \) and as a result, mass \( m_{3} \) is
detached from the rod, and moves with
a known velocity \( v \) at an angle of \( 30^{\circ} \)
with the y-axis. Assume that the
masses \( m_{2} \) and \( m_{3} \) are unchanged
during the explosion.

What is the velocity of the centre of
mass of the system consisting of three masses after the expulsion?
A \( \cdot \frac{v}{4}(\hat{i}-3 \hat{j}) \)
B \( \cdot \frac{v}{4}(-\hat{i}+\sqrt{3} \hat{j}) \)
c. \( -v \)
D. none of the above
Subject: Physics
In the radioactive change, \( \stackrel{A}{Z} \boldsymbol{P} \longrightarrow_{Z+1}^{A} \boldsymbol{Q} \longrightarrow_{Z-1}^{A-4} \boldsymbol{R} \longrightarrow_{Z-1}^{A-4} \boldsymbol{S} \)
the radiations emitted in sequence are:
\( \mathbf{A} \cdot \alpha, \beta, \gamma \)
в. \( \beta, \alpha, \gamma \)
c. \( \gamma, \alpha, \beta \)
D. \( \beta, \gamma, \alpha \)
Subject: Physics
equal and opposite tensile forces \( F \) at
its ends. Consider a plane through the
bar making an angle \( \theta \) with a plane at
right angles to the bar. Then shearing
stress will be maximum if \( \boldsymbol{\theta} \)
\( \mathbf{A} \cdot 0^{\circ} \)
B \( .30^{\circ} \)
\( \mathbf{c} \cdot 45^{\circ} \)
D. \( 60^{\circ} \)
E .90
Subject: Physics
In a transformer the output current and
voltage are \( 4 \mathrm{A} \) and \( 20 \mathrm{V} \) respectively. If the ratio of number of turns in the
primary and secondary coil is 2: 1 respectively, what is the input current and voltage?
\( A \cdot 2 A \) and 40
B. 1 A and 20
c. 4 A and \( 10 v \)
D. 8 A and 40 v
Subject: Chemistry
Assertion
Each N-atom is \( s p^{3}- \) hybridised in
\( N_{2} H_{4} \)
Reason
It has gauche conformation
Read the above assertion and reason and
choose the correct statement regarding
it.
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 value of \( \sin \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right) \) is
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{2 \sqrt{2}} \)
D.
Subject: Chemistry
The equilibrium \( 2 C u^{+} \rightleftharpoons C u^{0}+C u^{2+} \)
in aqueous medium at \( 25^{0} \mathrm{C} \) shifts towards the left in the presence of This question has multiple correct options
A \( . N O_{3}^{-} \)
в. \( C l \)
c. \( S C N^{-} \)
D. \( C N^{-} \)
Subject: Chemistry
Assertion
Formal charges help in selection of the lowest energy structure from a number of possible lewis structure.
Reason
show +1 formal charge on central 0 marked 1.
A. Both Assertion and Reason are true and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation for Assertion
c. Assertion is true statement but Reason is false
D. Both Assertion and Reason are false statement.
Subject: Chemistry
The equivalent conductances of two strong electrolytes at infinite dilution in
\( H_{2} O \) (where ions move freely through a
solution) at \( 25^{\circ} \mathrm{C} \) are given below
\[
\boldsymbol{C H}_{3} \boldsymbol{C O O N a}=91.0 \boldsymbol{S c m}^{2} / \boldsymbol{e q u i v}
\]
\( H C l=426.2 \mathrm{Scm}^{2} / \)equiv
What additional information/quantity one needs to calculate the equivalent conductances an aqueous solution of acetic acid?
A. The limiting equivalent conductance of Naç
B. The limiting equivalent conductance of \( \mathrm{CH}_{3} \mathrm{COOH} \)
C. The limiting equivalent conductance of \( \mathrm{H}^{+} \)
D. The limiting equivalent conductance of chloroacetic \( \operatorname{acid}\left(\mathrm{ClCH}_{2} \mathrm{COOH}\right) \)
Subject: Physics
\( A L \) of \( X_{L} \) is connected in series with a
bulb \( B \) to an A.C. source as shown in the
figure. Briefly explain how does the brightness of the bulb change, when
(i) Number of turns of the inductor is
reduced.
(ii) A capacitor of reactance \( \boldsymbol{X}_{\boldsymbol{C}}=\boldsymbol{X}_{\boldsymbol{L}} \)
is included in the same circuit
(iii) If increase driving frequency \( \boldsymbol{f} \) in the circuit, does the current amplitude
\( I \) increase or stay the same?
Subject: Physics
Fifteen joules of work is done on object A so that only its gravitational potential energy changes. Sixty joules of work is done on object B (same mass as object
A) so that only its gravitational potential energy changes. How many times does the height of object B change compared to the height change of object \( A, \) as result of the work done?
A. object B changes height four times as much as object
A changes height
B. Object B changes height sixteen times as much as object A changes height
c. object B changes height two times as much as object
A changes height
D. object B changes height less than two times as much as object A changes height (but not the same amount
E. object B changes height the same amount as object changes height
Subject: Biology
Based on cellular mechanisms there
are two major types of regeneration found in the animals. Which one of the
following is the correct example of the type mentioned?
A. Morphallaxis- Regeneration of two transversely cut equal pieces of a Hydra into two small Hydra
B. Epimorphosis- Replacement of old and dead erythrocytes by the new ones
c. Morphallaxis- Healing up of a wound in the skin
D. Epimorphosis- Regeneration of crushed and filtered out pieces of a Planaria into as many new Planarians.
Subject: Physics
Two identical spheres, one positively charged and the other negatively charged are held d cm apart. If the magnitude of the charges on the two spheres is equal, find the electric potential at a point midway on the line joining the centres of the two spheres.
A. zero
B. \( 10 \mathrm{v} \)
\( c .5 v \)
D. \( 1.6 \times 10^{-19} \mathrm{V} \)
Subject: Physics
Assertion
Hydrostatic pressure is not a vector
quantity.
Reason
Pressure is force divided by area, and
force is a vector quantity.
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
A body of mass 'm' is raised from the surface of earth to a point which is at a height \( 5 R \) from the surface of the earth.
The change in PE is
A. \( 5 \mathrm{mgR} \)
в. \( \frac{2 m g R}{3} \)
c. \( \frac{4}{5} m g r \)
D. \( \frac{5 m g R}{6} \)
Subject: Chemistry
The number of moles of \( K_{2} C r_{2} O_{7} \) that
will be needed to react with one mole of
\( H_{2} S \) in acidic medium is :
A \( \cdot \frac{1}{6} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{2}{5} \)
D. \( \frac{2}{3} \)
Subject: Chemistry
For making distinction between 2
pentanone and 3-pentanone the reagent to be employed is :
A \( \cdot K_{2} C r_{2} O_{7} / H_{2} S O_{4} \)
в. \( Z n-H g / H C l \)
\( \mathrm{c} \cdot \operatorname{Se} \mathrm{O}_{2} \)
D \( \cdot I_{2} / N a O H \)
Subject: Maths
If \( \frac{\mathbf{3} \boldsymbol{x}+\mathbf{4}}{\boldsymbol{x}^{2}-\mathbf{3} \boldsymbol{x}+\mathbf{2}}=\frac{\boldsymbol{A}}{\boldsymbol{x}-\mathbf{2}}-\frac{\boldsymbol{B}}{\boldsymbol{x}-\mathbf{1}}, \) then
\( (A, B)= \)
A. (7,10)
()
B. (10,7)
c. (10,-7)
D. (-10,7)
Subject: Chemistry
The correct order of acidity of the alcohols is ?
\( \mathbf{A} \cdot 1^{0}>11^{0}>111^{\mathbf{0}} \)
В. \( 111^{0}>11^{0}>1^{0} \)
C. \( 1^{0}>111^{0}>11^{0} \)
D. \( 11>111>1 \)
Subject: Physics
A man wearing a wingsuit glides through the air with a constant velocity
of \( 47 m s^{-1} \) at an angle of \( 24^{\circ} \) to the horizontal. The path of the man is shown n Fig.
The total mass of the man and the
wingsuit is 85 kg. The man takes a time
of 2.8 minutes to glide from point \( A \) to
point \( \boldsymbol{B} \)

Show that the difference in height \( h \)
between points \( A \) and \( B \) is \( 3200 m \)
Subject: Chemistry
Which of the following electronic configuration is impossible?
A \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6} \)
B . \( 1 s^{2}, 2 s^{2}, 2 p^{7} \)
\( \mathrm{c} \cdot 1 s^{2}, 2 s^{2} \)
D. \( 1 s^{2}, 2 s^{2}, 2 p^{5} \)
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a}\left(\boldsymbol{1}-\cos ^{3} \boldsymbol{\theta}\right), \boldsymbol{y}=\boldsymbol{a} \sin ^{3} \boldsymbol{\theta}, \) prove
that \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}=\frac{\boldsymbol{3} \mathbf{2}}{\mathbf{2 7} \boldsymbol{a}} \) at \( \boldsymbol{\theta}=\frac{\boldsymbol{\pi}}{\boldsymbol{6}} \)
Subject: Chemistry
Among the following compounds, which
will produce \( \boldsymbol{P O C l}_{3} \) with \( \boldsymbol{P C l}_{5} \) ?
\( A \cdot \) only \( O_{2} \)
B. \( O_{2} \) and \( C O_{2} \)
c. \( C O_{2}, O_{2} \) and \( P_{4} O_{10} \)
D. \( S O_{2}, H_{2} O, H_{2} S O_{4} \) and \( P_{4} O_{10} \)
Subject: Chemistry
Study the experimental set up shown
below

Which of the following statements is correct regarding the observations made, after the two visking tubes \( P \) and Q were placed in dilute iodine solution
for 10 minutes?
[Key : Visking tube allows the molecules of iodine to pass through it.
A. Solution in visking tube P turns blue - -black
B. Solution in visking tube Q turns blue - black
c. solution in both the visking tubes \( P \) and \( Q \) turns blue black
D. solution in neither of the visking tubes turns blue black
Subject: Maths
A position-dependent force \( \boldsymbol{F}=\mathbf{4} \boldsymbol{x}^{\mathbf{3}}+ \)
\( 3 x^{2}+2 x-4 \) newton acts on a small
body of mass \( 2 k g \) and displaces it from \( x=0 \) to \( x=2 m . \) Calculate the work
done.
A . \( 20 J \)
в. \( 24 J \)
c. 16.5
D. \( 12 J \)
Subject: Maths
Let \( A \) and \( B \) be events such that
\( P(A)-\frac{1}{6}, P(B)=\frac{1}{4} \) and \( P(A \cap B)= \)
\( \frac{1}{12} \cdot \operatorname{Find} P(B / A) \cdot P(A / B) \)
Subject: Maths
Choose the correct answer from the
alternatives given:
Directions for questions 71 to 75 :
Study the following graph carefully and
answer the questions given below.

What is the average number of tyres of
type A manufactured over the years?
\( A \cdot 23 \) lakhs
B. 2.3 lakhs
c. 30 lakhs
D. 22 lakhs
Subject: Physics
In the figure shown, a cubical block is held stationary against a rough wall by
applying force, ' \( \boldsymbol{F}^{\prime} \), then incorrect
statement among the following is
A. frictional force \( f=M g \)
B. \( F=N, N \) is normal reaction
C. \( F \) does not apply any toque
D. \( N \) does not apply any torque
Subject: Physics
Given two vectors \( \vec{A}=3 \hat{i}+4 \hat{j} \) and \( \vec{B}=\hat{i}+\hat{i} . \theta \) is the angle between \( \vec{A} \) and
\( \vec{B} \). Which of the following statements is/are correct?
\( ^{\mathbf{A}} \cdot|\vec{A}| \cos \theta\left(\frac{\hat{i}+\hat{j}}{\sqrt{2}}\right) \) is the component of \( \vec{A} \) along \( \vec{B} \)
B \( \cdot|\vec{A}| \sin \theta\left(\frac{\hat{i}+\hat{j}}{\sqrt{2}}\right) \) is the component of \( \vec{A} \) perpendicular
to \( \bar{b} \)
\( ^{\mathrm{c}}|\vec{A}| \cos \theta\left(\frac{\hat{i}-\hat{j}}{\sqrt{2}}\right) \) is the component of \( \vec{A} \) along \( \vec{B} \)
D. All of the above
Subject: Physics
A rope ladder with a length \( l \) carrying a man with a mass \( m \) at its end is
attached to the basket of a balloon with
a mass \( M . \) The entire system is in equilibrium in the air. As the man climbs up the ladder into the balloon,
the balloon descends by a height \( h \). The change in potential energy of the man is:
A \( . m g l \)
в. \( M g(l-h) \)
\( c \cdot 1 / 2 m g l \)
D. \( m g(l-h) \)
Subject: Maths
The solution of the differential equation
\( \boldsymbol{x} \boldsymbol{y}^{2} \boldsymbol{d} \boldsymbol{y}-\left(\boldsymbol{x}^{3}+\boldsymbol{y}^{3}\right) \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \) is
A \( \cdot y^{3}=3 x^{3}+c \)
B . \( y^{3}=3 x^{3} \log (c x) \)
c. \( y^{3}=3 x^{3}+\log (c x) \)
D. \( y^{3}+3 x^{3}+\log (c x) \)
Subject: Biology
Select the correct statements with
reference to pheretima (excretory system)
A) Nephridia help in excretion and osmoregulation
B) Septal nephridia collects the wastes from coelomic fluid with the help of
nephrostomes
C) Integumentary nephridia discharge waste materials to the outer body surface through the nephridiopores
D) Septal nephridia and pharyngeal nephridia discharge wastes into luman of gut.
A. \( A, B, C \)
в. \( B, C, D \)
c. \( A, C, D \)
D. \( A, B, C, D \)
Subject: Maths
Given \( \overrightarrow{\boldsymbol{a}}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{b}}=-\hat{\boldsymbol{i}}+\boldsymbol{2} \hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \)
and \( \vec{c}=-\hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{i}}-\hat{\boldsymbol{k}} \cdot \boldsymbol{A} \) unit vector
perpendicular to both \( \vec{a}+\vec{b} \& \vec{b}+\vec{c} \) is
A \( \cdot \frac{2 \hat{i}+\hat{j}+\hat{k}}{\sqrt{6}} \)
B. \( j \)
\( c \cdot \hat{k} \)
D. \( \frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt{3}} \)
Subject: Physics
Assertion
In a sinusoidal travelling wave on a string potential energy of deformation of string element at extreme position in maximum.
Reason
The particles in sinusoidal travelling wave perform SHM.
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
Find the integral curve of the differential equation, \( x(1-x \ln y) \cdot \frac{d y}{d x}+y=0 \) which passes
hrough \( \left(1, \frac{1}{e}\right), \) then \( (2+\ln y) x \) is:
A . 1
B. 2
c. 0
D. None of these
Subject: Biology
The given figure shows an actin (thin) filament. Identify the labelled parts \( A, B \) and \( C . \) and select the correct option.
A. A - Tropomyosin B - Troponin C - F-actin
B. A - Troponin B - Myosin C - Tropomyosin
c. A - Troponin B - Tropomyosin C - Myosin
D. A - Troponin B - Tropomyosin C - F-actin
Subject: Maths
Calculate the range and coefficient of range from the following data:

Marks scored by 12 students in a test:
\( \mathbf{3 1}, \mathbf{1 8}, \mathbf{2 7}, \mathbf{1 9}, \mathbf{2 5}, \mathbf{2 8}, \mathbf{4 9}, \mathbf{1 4}, \mathbf{4 1}, \mathbf{2 2}, \mathbf{3 3}, \mathbf{1} \)
Subject: Physics
Three capacitors \( 2 \mu F, 3 \mu F \) and \( 6 \mu F \) are connected in series. The effective
capacitance of the combination is:
\( \mathbf{A} \cdot 11 \mu F \)
в. \( 1 \mu F \)
c. \( 1.2 \mu F \)
D. \( 2 \mu F \)
Subject: Physics
A conducting rod PQ of length \( L=1.0 \mathrm{m} \) is
moving with a uniform speed \( v=2.0 \mathrm{m} / \mathrm{s} \)
in a uniform field \( B=4.0 \) T directed into
the paper. A capacitor of capacity \( \mathrm{C}=10 \mu \)
Fis connected as shown in the figure.
Then charge on the capacitor is \( 10 \alpha \mu \mathrm{C} \)
Find the value of \( \boldsymbol{\alpha} \)
\( A \cdot 7 \)
B. 8
\( c \cdot s \)
D. 10
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{4} & \mathbf{7} \\ \mathbf{2} & \mathbf{6} & \mathbf{5} \\ \mathbf{3} & \mathbf{- 1} & \mathbf{2}\end{array}\right] \) and \( \mathbf{B}=\operatorname{diag}(12 \)
5), then
trace of matrix \( \boldsymbol{A B}^{\mathbf{2}} \) is
A . 74
B. 75
c. 529
D. 23
Subject: Maths
In a triangle, the sum of two angles is
\( 118^{\circ} \) and their difference is \( 32^{\circ} ; \) find
each angle of the triangle.
A \( \cdot 75^{\circ}, 43^{\circ} \) and \( 62^{\circ} \)
B . \( 70^{\circ}, 48^{8} \) and \( 62^{\circ} \)
c. \( 85^{\circ}, 43^{\circ} \) and \( 52^{\circ} \)
D. \( 75^{\circ}, 53^{\circ} \) and \( 52^{\circ} \)
Subject: Physics
Identify the ascending order of the work done in the following cases.
a) Work done in increasing the radius of soap bubble from \( 2 \mathrm{cm} \) to \( 4 \mathrm{cm}(\mathrm{T}= \)
\( 0.04 \mathrm{Nm}^{-1} \) ).
b) Work done in increasing the radius of a soap bubble from \( 2 \mathrm{cm} \) to \( 4 \mathrm{cm}(\mathrm{T}= \)
\( \left.0.08 N m^{-1}\right) \)
c) Work done in breaking a liquid drop
of radius \( 1 \mathrm{cm} \) into \( 10^{6} \) droplets of same
\( \operatorname{size}\left(T=0.08 N m^{-1}\right) \)
\( A \cdot b, \) a \& \( c \)
B. \( c, a \& b \)
\( c \cdot a, b \& c \)
D. \( c, b \& \) a
Subject: Physics
A point object is placed at the center of
a glass sphere of radius \( 6 \mathrm{cm} \) and refractive index \( 1.5 . \) The distance of virtual image from the surface is :
A. \( 6 \mathrm{cm} \)
B. \( 4 \mathrm{cm} \)
c. \( 12 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \)
Subject: Chemistry
The following question relates to the partial energy level diagram for the hydrogen electron:
\( \mathbf{5 4 e V}_{-\text {一一一一一一一一一一一 }} \)
\( 85 e V_{4} \)
\( 1.51 e V_{3} \)
\( 3.4 e V_{2} \)
13.6 \( e V \) -
The question relates to a hydrogen
electron located at \( E_{3} \).What is the
emission energy when the electron falls
to \( E_{5} \) from \( E_{3} ? \)
A. \( \pm .66 e V \)
в. \( \pm .966 e V \)
c. \( \pm .1 .89 e V \)
D. \( \pm 10.2 e V \)
E . \( \pm 12.09 e V \)
Subject: Chemistry
If \( E_{F e^{2+} / F e}^{+} \) is \( x_{1}, E_{F e^{3+} / F e}^{+} \) is \( x_{2} \) then
what will be \( \boldsymbol{E}_{\boldsymbol{F} e^{+} / \boldsymbol{F} e^{2+}}^{\boldsymbol{?}} \)
Subject: Physics
Which of the following combinations should be selected for better tuning of an L-C-R circuit used for
communication?
A. \( R=20 \Omega, L=1.5 \mathrm{H}, \mathrm{C}=35 \mu F \)
B. \( R=25 \Omega, L=2.5 \mathrm{H}, \mathrm{C}=40 \mu F \)
c. \( R=15 \Omega, L=3.5 \mathrm{H}, \mathrm{C}=30 \mu F \)
D. \( R=25 \Omega, L=1.5 \mathrm{H}, \mathrm{C}=45 \mu F \)
Subject: Maths
In the figure below, AL is perpendicular
to BC and CM is perpendicular to AB. If
\( C L=A L=2 B L, \) find \( \$ \$ \backslash \) dfrac \( \{\text { MC }\} \)
\( [\mathrm{AM}\} \)
\( A \)
B.
\( c \)
'. cannot be determine
Subject: Maths
If the fourth term in the expansion of \( \left(\sqrt{\frac{1}{x^{\log x+1}}}+x^{1 / 12}\right)^{6} \) is equal to 200
and \( x>1, \) then \( x \) is equal to
A \( \cdot 10^{\sqrt{2}} \)
2 \( \sqrt{2} \)
B. 10
\( c \cdot 10^{4} \)
D. None of these
Subject: Physics
Which of the statement is wrong:-
A. when all resistance are equal, then the sensitivity of wheatstone bridge is maximum.
B. when the galvanometer and the cell are interchanged, then the balancing of wheat stone bridge will be effected.
C. Kirchoff's first law for the currents meeting at the Junctions in an electric circuit shows the conservation of charge.
D. Rheostat can be used as potential divider.
Subject: Chemistry
Nitrogen can be purified from the impurities of oxides of nitrogen and ammonia by passing through:
A. concentrated \( H C l \)
B. alkaline solution of pyrogallol
c. a solution of \( \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \) with \( \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. a solution of \( K O H \)
Subject: Physics
Two electrons are moving with nonrelativistic speeds perpendicular to each other. If corresponding de Broglie
wavelengths are \( \lambda_{1} \) and \( \lambda_{2}, \) their de
Broglie wavelength in the frame of
reference attached to their centre of
mass is:
\( \mathbf{A} \cdot \lambda_{C M}=\lambda_{1}=\lambda_{2} \)
\( ^{\mathrm{B}} \cdot \frac{1}{\lambda_{C M}}=\frac{1}{\lambda_{1}}+\frac{1}{\lambda_{2}} \)
\( ^{\mathbf{C}} \lambda_{C M}=\frac{2 \lambda_{1} \lambda_{2}}{\sqrt{\lambda_{1}^{2}+\lambda_{2}^{2}}} \)
\( \lambda_{C M}=\left(\frac{\lambda_{1}+\lambda_{2}}{2}\right) \)
Subject: Maths
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}-\mathbf{2})}=\boldsymbol{A} \log (\boldsymbol{x}+\mathbf{1})+ \)
\( \boldsymbol{B} \log (\boldsymbol{x}-\boldsymbol{2})+\boldsymbol{C}, \) where
This question has multiple correct options
\( \mathbf{A} \cdot A+B=0 \)
в. \( A B=0 \)
c. \( \frac{A}{B}=-1 \)
D. none of these
Subject: Chemistry
How many grams of concentrated sulphuric acid \( (80 \% w / w) \) should be
used to prepare \( 100 m L \) of one molar
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
A . \( 10 g \)
в. 12.25 g
c. \( 15 g \)
D. \( 17.5 g \)
Subject: Physics
Calculate the value of \( g \) on the surface
of planet if the planet has \( 1 / 500 \) the mass and \( 1 / 15 \) the radius of the Earth
в. \( 1.6 m / s_{2} \)
\( \mathrm{c} \cdot 2.4 \mathrm{m} / \mathrm{s}_{2} \)
D. \( 4.5 m / s_{2} \)
E \( .7 .1 \mathrm{m} / \mathrm{s}_{2} \)
Subject: Chemistry
\( \mathbf{1 0} \quad \boldsymbol{d} \boldsymbol{m}^{3} \) of \( \boldsymbol{N}_{2} \) gas and \( \mathbf{1 0} \quad \boldsymbol{d} \boldsymbol{m}^{3} \) of gas
\( x \) at the same temperature contain the same number of molecules. The gas \( X \) is
A \( . C O \)
в. \( C O_{2} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \)
D. \( N O \)
Subject: Physics
The magnetic needle of a tangent galvanometer is deflected at an angle 30 due to a magnet. The horizontal component of earth's magnetic field
\( 0.34 \times 10^{-4} T \) is along the plane of the
coil. The magnetic intensity is:
A . \( 1.96 \times 10^{-4} T \)
B . \( 1.96 \times 10^{-5} T \)
c. \( 1.96 \times 10^{4} T \)
D. \( 1.96 \times 10^{5} T \)
Subject: Physics
A car is traveling is blanked curved road
\( \operatorname{at} \theta=37^{\circ} \) of radius \( 125 \mathrm{m} \). If the
coefficient of friction between the tyres
and road is \( \mu=0.5 \) and \( g=10 m / s^{2} \)
The maximum speed to avoid skidding
is.
A. \( 50 \mathrm{m} / \mathrm{s} \)
B. 25 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 20 m / s \)
D. \( 10 \mathrm{m} / \mathrm{s} \)
Subject: Physics
Assertion
Optical fibres are used for
telecommunication.
Reason
Optical fibres are based on the
phenomenon of total internal reflection.
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
A light ray is incident a glass sphere at
an angle of incidence of \( 45^{\circ} \) as shown in figure. Find the total deviation suffered by ray of two successive reflection.
A \( \cdot 45^{\circ} \)
B. \( 30^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 120^{\circ} \)