AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Fill up the blanks in the following paragraph by selecting the correct
option.
The movement of air into and out of the
lungs is carried out by creating a
(i) \( _{--}- \) between the lungs and the atmosphere. Inspiration can occur if intra-pulmonary pressure is
(ii) than the atmospheric pressure. Expiration takes place when the intra-pulmonary pressure is
(iii) \( _{---} \) than the atmospheric pressure. Inspiration is initiated by the
(iv) \( _{--} \) of diaphragm which
\( (v) \)
the volume of thoracic
chamber in the anteroposterior axis.
A. (i) concentration gradient (ii) less (iii) higher (iv) relaxation (v)increases
B. (i) concentration gradient (ii) higher (iii) less (iv) contraction (v)decreases
c. (i) pressure gradient (ii) higher (iii) less (iv) relaxation
(v)decreases
D. (i) pressure gradient (ii) less (iii) higher (iv) contraction (v) increases
Subject: Maths
The most general values of \( \theta \) for which
\( \sin \theta-\cos \theta=\min _{a \in R}\left(1, a^{2}-6 a+10\right) \)
are given by
A \( \cdot n \pi+(-1)^{n} \frac{\pi}{4}-\frac{\pi}{4} \)
B. \( n \pi+(-1)^{n} \frac{\pi}{4}+\frac{\pi}{4} \)
c. \( 2 n \pi+\frac{\pi}{4} \)
D. None of these
Subject: Maths
Suppose z and \( \omega \) are two complex numbers such that \( |z| \leq 1,|\omega| \leq 1, \) and
\( |z+i \omega|=|z-i \omega|=2 \)
Which of the following is true for z and \( \omega \)
\( ? \)
\( \mathbf{A} \cdot \operatorname{Re}(z)=\operatorname{Re}(\omega) \)
B . \( \operatorname{Im}(z)=\operatorname{Im}(\omega) \)
\( \mathbf{c} \cdot \operatorname{Re}(z)=\operatorname{Im}(\omega) \)
D. \( \operatorname{Im}(z)=\operatorname{Re}(\omega) \)
Subject: Chemistry
\( \ln S O_{3}^{2-} \)
A. \( d \pi-p \pi \) bond between \( S \) and \( O \) is delocalised
B. bonds between \( S \) and \( O \) are equivalents
C. there is \( s p^{3} \) hybridised sulphur atom
D. all of the facts given above are true
Subject: Maths
Find the points of maxima, minima and the intervals of monotonicity of the following function:
\( \boldsymbol{y}=\boldsymbol{x}^{4}+\boldsymbol{4} \boldsymbol{x}^{3}-\boldsymbol{8} \boldsymbol{x}^{2}+\boldsymbol{3} \)
Subject: Chemistry
What will be the products of combustion of a hydrocarbon at \( 398 K ? \)
A \( \cdot C O_{2}(g), H_{2} O(g) \)
B. \( C O_{2}(l), H_{2} O(g) \)
\( \mathrm{c} \cdot \mathrm{CO}_{2}(g), \mathrm{H}_{2} \mathrm{O}(l) \)
D. None of these
Subject: Chemistry
Match the polymer in column-A with
their main use in column-B and choose
the correct answer.
Column B Whe 1
(A) Paints and
lacquers
(B) Column - A
Polystyrene
Glyptal
Polyvinyl
Chloride
Bakelite Rain coats
(C) Manufacture
of toys
(D) Computer
discs
\( A \)
(A) - (ii), (B) - (iv), (C) - (iii), (D) - (i)
B. (A) - (iii), (B) - (iv), (C) - (ii), (D) - (i)
\( c \)
(A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)
D. (A) - (ii), (B) - (i), (C) - (iii), (D) - (iv)
Subject: Physics
A particle is dropped under gravity from
rest from a height \( h\left(g=9.8 m / s^{2}\right) \) and it travels a distance \( \frac{\mathbf{9 h}}{\mathbf{2 5}} \) in the last second the height 'h' is:
\( \mathbf{A} \cdot 100 m \)
B. \( 125 \mathrm{m} \)
\( \mathbf{c} \cdot 145 m \)
D. \( 167.5 \mathrm{m} \)
Subject: Maths
A rectangular field is half as wide as it
is long and is completely enclosed by \( x \) yards of fencing. The area in terms of \( x \)
is
A \( \cdot \frac{x^{2}}{2} \)
в. \( 2 x^{2} \)
c. \( \frac{2 x^{2}}{9} \)
D. \( \frac{x^{2}}{18} \)
E. none of these
Subject: Physics
A spatially uniform magnetic tield of
\( 0.080 T \) is directed into the plane of the
page and perpendicular to it, as shown
in the accompanying figure. A wire loop
in the plane of the page has constant
area \( 0.010 \mathrm{m}^{2} . \) The magnitude of the
magnetic field decreases at a constant
rate of \( 3.0 \times 10^{-4} \) T/s. The magnitude
and direction of the induced emf is:
A \( .3 .0 \times 10^{-6} \) V clockwise
B. \( 3.0 \times 10^{-6} \mathrm{V} \) anticlockwise
C . \( 2.4 \times 10^{-5} \mathrm{V} \) anticlockwise
D. \( 8.0 \times 10^{-4} \) V clockwise
Subject: Physics
The areas under the I-H hysteresis loop and B-H hysteresis loop are denoted by \( A_{1} \) and \( A_{2}, \) then the ratio of \( \frac{A_{2}}{A_{2}} \) is given by
\( A \cdot \mu_{0} \)
в. \( \frac{1}{\mu_{0}} \)
\( c \cdot 1 \)
D. \( \sqrt{\mu_{0}} \)
Subject: Maths
Let \( A, B, C \) be three events such that \( A \) and \( \mathrm{B} \) are independent and \( \boldsymbol{P}(\boldsymbol{C})=\mathbf{0} \)
then events \( A, B, C \) are
A. independent
B. pairwise independent but not totally independent
C. \( P(A)=P(B)=P(C) \)
D. none of these
Subject: Physics
What is the work done in rotating the
dipole through \( 180^{\circ} ? \)
A \( \cdot \frac{\partial q Q x}{\pi \varepsilon_{0}\left(R^{2}+x^{2}\right)^{3 / 2}} \)
В. \( \frac{\partial q Q x}{2 \pi \varepsilon_{0}\left(R^{2}+x^{2}\right)^{3 / 2}} \)
c. \( \frac{2 \partial q Q x}{\pi \varepsilon_{0}\left(R^{2}+x^{2}\right)^{3 / 2}} \)
D. \( \frac{\partial q Q x}{3 \pi \varepsilon_{0}\left(R^{2}+x^{2}\right)^{3 / 2}} \)
Subject: Chemistry
\( N_{2} H_{4} \) reduces \( I O_{3}^{-} \) to \( I^{+} \) in acidic
medium as:
\( N_{2} H_{4}+I O_{3}^{-}+H^{+} \longrightarrow N_{2}+I^{+}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
Intermediate in the above reaction is \( I_{2} \)
which can be detected by :
A. taking solvent \( C C I_{4} \) in which \( I_{2} \) is soluble and thus layer becomes violet
B. starch as indicator which turns blue
c. both (a) and (b)
D. None of the above
Subject: Chemistry
If 2.0 mole each of \( A \) and \( B \) were
allowed to come to equilibrium at \( 300 \mathrm{K} \) for the reaction \( \boldsymbol{A}+\boldsymbol{B} \rightarrow \boldsymbol{C}+\boldsymbol{D} \)
\( \Delta G^{o}=460 \) cal. The equilibrium concentration ratio of \( C \) to \( A \) will be:
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{1}{2} \)
c. 0.68
D. 0.46
Subject: Chemistry
Anthracene can be electrolytically
oxidised to anthraquinone. What mass of anthraquinone can be
produced by the passage of 1 ampere current for an hour at \( 100 \% \) efficiency?
A . \( 3.654 g \)
В. \( 2 g \)
c. \( 12 g \)
D. \( 1.2932 g \)
Subject: Chemistry
What types of isomer are
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{B r}\right] \boldsymbol{S} \boldsymbol{O}_{4} \) and
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{S O}_{4}\right] \boldsymbol{B r} ? \)
Subject: Chemistry
Which of the following mixtures can act as a buffer?
This question has multiple correct options
\( \mathbf{A} \cdot N a O H+H C O O N a \)
B. Borax + boric acid
c. \( N a H_{2} P O_{4}+N a_{2} P O_{4} \)
D. \( N H_{4} C l+N H_{4} O H \)
Subject: Physics
Charge \( Q \) is given a displacement \( \vec{r}= \) \( \boldsymbol{a} \hat{\boldsymbol{i}}+\boldsymbol{b} \hat{\boldsymbol{j}} \) in an electric field \( \overrightarrow{\boldsymbol{E}}=\boldsymbol{E}_{1} \hat{\boldsymbol{i}}+ \)
\( E_{2} \widehat{j} . \) The work done is :
A \( \cdot Q\left(E_{1} a+E_{2} b\right) \)
)
в. \( Q \sqrt{\left(E_{1} a\right)^{2}+\left(E_{2} b\right)^{2}} \)
c. \( Q\left(E_{1}+E_{2}\right) \sqrt{a^{2}+b^{2}} \)
D. \( Q \sqrt{\left(E_{1}^{2}+E_{2}^{2}\right)} \sqrt{a^{2}+b^{2}} \)
Subject: Physics
A system of identical cylinder and plates is shown in figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and the upper plates are \( v \) and \( 2 v \) respectively, as shown. Then the ratio of angular speeds of the upper cylinders to lower cylinder is:
A \( \cdot \frac{1}{3} \)
в.
\( c \)
D. None of these
Subject: Physics
Assertion
The quantity \( L / R \) possesses dimension of time
Reason
To reduce the rate of increase of current
through a solenoid, we should increase the time constant \( (\boldsymbol{L} / \boldsymbol{R}) \)
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
toppr
Q Type your question
quantities in relation to the energy of the comet-star system-kinetic energy
(KE) gravitational potential energy
\( (G P E), \) speed of comet (Speed), and mechanical energy of system (ME) Choose the table that is correctly filled
in with \( x \) 's.

Notice that in some boxes for certain
quantities neither box is checked, indicating that the particular quantities is the same at both
positions. Assume any loss of mass of the comet or the star is insignificant.
0 \( G \) \( \because . . . . \)
4
\begin{tabular}{|l|l|l|}
\hline & Position 1 & Position 2 \\
\hline KE greater & \( \mathrm{x} \) & \\
GPE greater & \( \mathrm{x} \) & \\
Speedgreater & \( \mathrm{x} \) & \\
MEgreater & \( \mathrm{x} \) & \\
\hline
\end{tabular}
B.
\begin{tabular}{|l|l|l|}
\hline & Position 1 & Position 2 \\
\hline KE greater & & \( \mathrm{x} \) \\
GPE greater & & \( \mathrm{x} \) \\
Speed greater & & \( \mathrm{x} \) \\
MEgreater & & \( \mathrm{x} \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|l|l|l|}
\hline & Position 1 & Position 2 \\
\hline KE greater & \( \mathrm{x} \) & \\
GPE greater & \( \mathrm{x} \) & \\
Speedgreater & \( \mathrm{x} \) & \\
ME greater & & \\
\hline
\end{tabular}
\( D \)
\begin{tabular}{|l|l|l|}
\hline & Position 1 & Position 2 \\
\hline KE greater & \( \times \) & \\
GPE greater & & \( \times \) \\
Speedgreater & \( \times \) & \\
MEgreater & & \\
\hline
\end{tabular}
E \begin{tabular}{|l|l|l|}
\hline & Position 1 & Position 2 \\
\hline KEgreater & & \( \times \) \\
GPEgreater & \( \times \) & \\
Speedgreater & & \( \times \) \\
ME greater & & \\
\hline
\end{tabular}
Subject: Chemistry
The decreasing order of boiling points of the following alcohols is?
A. 3-methylbutan-2-ol > 2-methylbutan-2-ol> pentan-1 ol
B. pentan-1-ol > 3-methylbutan-2-ol > 2-methylbutan-2ol
c. 2-methylbutan-2-ol > 3-methylbutan-2-ol> pentan-1ol
D. 2-methylbutan-2-ol > pentan-1-ol >3-methylbutan-2-0
Subject: Physics
A water tank is filled with water upto
height H. A hole is made in a tank wall at a depth D from the surface of water The distance \( X \) from the lower end of
wall where the water stream from tank
strikes the ground is:
B \( .2 \sqrt{D(H+D)} \)
c. \( 2 \sqrt{D(H-D)} \)
\( D \cdot \sqrt{D} \)
Subject: Physics
A particle moves in a closed orbit
around the origin, due to a force which
is directed towards the origin. The de Broglie wavelength of the particle varies
cyclically between two values \( \lambda_{1} \) and \( \lambda_{2} \)
with \( \lambda_{1}>\lambda_{2} . \) Which of the following
statement is true?
A. The particle could be moving in an circular orbit with origin as centre
B. The particle could be moving in an parabolic orbit with origin as its focus
C. When the de Broglie wave length is \( \lambda_{1} \), the particle is nearer the origin than when its value is \( \lambda_{2} \)
D. When the de Broglie wavelength is \( \lambda_{2} \), the particle is nearer the origin than when its value is \( \lambda_{1} \)
Subject: Physics
A uniform thin circular ring of mass 'M' and radius 'R' is rotating about its fixed axis, passing through its centre and perpendicular to its plane of rotation, with a constant angular velocity \( \omega . \) Two objects each of mass \( \mathrm{m}, \) are attached
gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity of :
A \( \cdot \frac{\omega M}{(M+m)} \)
в. \( \frac{\omega M}{(M+2 m)} \)
c. \( \frac{\omega M}{M-2 m} \)
D. \( \frac{\omega(M+3 m)}{M} \)
Subject: Biology
Given below are assertion and reason.
Point out if both are true with reason
being correct explanation (A), both true but reason is not correct explanation
(B), assertion true but reason wrong (C)
and both wrong (D), Assertion. Vascular cambium is
considered as lateral meristem.
Reason. It gives rise to lateral shoots.
\( A \cdot A \)
B. B
\( c \cdot c \)
D. D
Subject: Physics
A truck of mass \( 500 k g \) moves from the
rest at the top of a section of track
\( 400 m \) long and \( 30 m \) high, as shown. The
frictional force acting on the truck is
\( 250 N \) throughout its journey.

What is the final speed of the truck?
A \( \cdot 14 \mathrm{ms}^{-1} \)
В \( \cdot 24 m s^{-1} \)
\( \mathrm{c} \cdot 31 \mathrm{ms}^{-1} \)
D. \( 190 \mathrm{ms}^{-1} \)
Subject: Maths
The value of 'a' for which the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}-\boldsymbol{x}^{3}+\cos \boldsymbol{a} & \boldsymbol{0}<\boldsymbol{x}<1 \\ \boldsymbol{x}^{2} & \boldsymbol{x} \geq \mathbf{1}\end{array}\right. \)
has a local minimum at \( x=1 \), is
This question has multiple correct options
A . -1
B. 1
\( c \cdot 0 \)
D. \( -\frac{1}{2} \)
Subject: Physics
A point source of light is moving at a rate of \( 2 \mathrm{cm}-s^{-1} \) towards a thin
convex lens of focal length \( 10 \mathrm{cm} \) along
its optical axis. When the source is
\( 15 c m \) away from the lens the image is
moving at
A \( \cdot 4 \mathrm{cm}-s^{-1} \) towards the lens
B. \( 8 \mathrm{cm}-s^{-1} \) towards the lens
C. \( 4 \mathrm{cm}-s^{-1} \) away from the lens
D. \( 8 \mathrm{cm}-s^{-1} \) away from the lens
Subject: Chemistry
Which of the following statements is
not correct?
A. For a zero order reaction, \( t_{1 / 2} \) is proportional to initial concentration
B. The relationship of variation of rate constant with temperature is given by \( \log \frac{k_{2}}{k_{1}}=\frac{E_{a}}{2.303 R}\left[\frac{T_{2}-T_{1}}{T_{1} T_{2}}\right] \)
C. The unit of rate constant for a reaction is \( m o l^{1-n} L^{n-1} s^{-1} \) where \( n \) is order of the reaction
D. The unit of rate of reaction changes with order of reaction
Subject: Physics
If Youngs modulus of the material of a rod is \( 2 \times 10^{11} \mathrm{Nm}^{-2} \) and density is
\( 8000 \mathrm{kg} \mathrm{m}^{-3}, \) the time taken by a sound wave to traverse \( 1 \mathrm{m} \) along the rod is
A. \( 1.11 \times 10^{-4} s \)
В. \( 3 \times 10^{-4} s \)
c. \( 2 \times 10^{-4} s \)
D. \( 1 \times 10^{-4} s \)
Subject: Physics
In the equation \( y=A \sin \left[k t-\frac{x}{\lambda}\right], \) the dimensional formula for \( k \) is
A \( \cdot M^{0} L^{0} T^{-1} \)
B . \( M^{0} L^{0} T^{0} \)
c. \( M^{0} L T^{0} \)
D. \( M L^{0} T^{0} \)
Subject: Physics
In a potentiometer experiment, the balancing length of potentiometer of a cell of e.m.f \( 1.5 \mathrm{V} \) in the secondary is 440 cm. A resistance \( 5 \Omega \) is connected
between the terminals of cell, the balancing length is \( 400 \mathrm{cm} . \) Then
a) internal resistance of the cell is \( 0.5 \Omega \)
b) terminal voltage of the cell is \( 15 / 11 v \)
c) Potential gradient of the potentiometer wire is \( \frac{1.5}{40} V / c m \)
d) potential difference across the potoentiometer wire of length \( 10 \mathrm{m} \) is nearly \( 3.4 \mathrm{V} \)
A. a,b are correct
B. a,b and c are correct
\( c . \) a, b and d are correct
D. a,b,c and d are correct
Subject: Physics
A light beam is being reflected by using two mirrors,as in a periscope used in submarines.if one of the mirrors rotates
by an angle \( \theta \), the reflected light will deviate from its original path by the angle
\( \mathbf{A} \cdot 2 \theta \)
B. \( 3 \theta \)
\( c \cdot \theta \)
D. \( 4 \theta \)
Subject: Maths
If \( \boldsymbol{P}=\{\boldsymbol{x} \mid \mathbf{2 4}<\boldsymbol{x}<\mathbf{3 0}\} \) and \( \boldsymbol{Q}= \)
\( \{\boldsymbol{x} \mid \mathbf{2 5}<\boldsymbol{x}<\mathbf{3 2}\}, \) prove that \( \boldsymbol{P}-\boldsymbol{Q} \neq \)
\( \boldsymbol{Q}-\boldsymbol{P} \)
Subject: Chemistry
List -I
A. Reactive form of Carbon
HF
B. Acid employed for
Diamond
etching of glass
C. Synthesis gas
Charcoal
D. Unreactive form of Carbon
\( \boldsymbol{C O H}_{2} \)
The correct match with \( A B C D \) is \( ? \)
A. 1234
B. 2 4 31
\( c \cdot 2134 \)
D. 31 4 2
Subject: Maths
The least value of \( e^{\sin ^{-1} x}+e^{\cos ^{-1} x} \) is
A \( \cdot 1+e^{\pi / 2} \)
B . \( 2 e^{\pi / 2} \)
\( \mathbf{c} \cdot e^{\pi / 4} \)
D \( \cdot 2 e^{\pi / 4} \)
Subject: Physics
How far away should a deep sea diver be
from an under-sea rock so that he can
hear his own echo? (Speed of sound in water is \( 1500 \mathrm{m} / \mathrm{s} \) ).
A. \( 1500 \mathrm{m} \)
B. 750m
\( c \cdot 150 m \)
D. 75m
Subject: Physics
A wire of length L and Density \( \phi \) and young's modulus Y is hanging from a support .Find the elongation in the length of the wire at which wire will break:
\( \mathbf{A} \cdot \frac{L^{2} \phi g}{Y} \)
B. \( \frac{L^{2} \phi g}{2 Y} \)
\( ^{\mathrm{c}} \cdot \frac{2 L^{2} \phi g}{Y} \)
D. \( \frac{L^{2} \phi g}{4 Y} \)
Subject: Maths
If \( \boldsymbol{y}=\tan ^{-1} \sqrt{\frac{1-\sin x}{1+\sin x}}, \) then the value
of \( \frac{d y}{d x} \) at \( x=\frac{\pi}{6} \) is
A. \( -\frac{1}{2} \)
B.
c. 1
D. -
Subject: Physics
Four equipotential curves in an electric
field are shown in the figure. A,B,C are
three points in the field. If electric
intensity at \( A, B, C \) are \( E_{A}, E_{B}, \) and \( E_{C} \)
then:
\( \mathbf{A} \cdot E_{A}=E_{B}=E_{C} \)
в. \( E_{A}>E_{B}>E_{C} \)
c. \( E_{A}<E_{B}<E_{C} \)
D. \( E_{A}>E_{B}<E_{C} \)
Subject: Chemistry
For an elementary reaction, \( \boldsymbol{X}(\boldsymbol{g}) \rightarrow \) \( \boldsymbol{Y}(\boldsymbol{g})+\boldsymbol{Z}(\boldsymbol{g}): \) the half life period is
10 min. In what period of time would
the concentration of \( X \) be reduced to
\( 10 \% \) of original concentration?
A . 20 min
B. 33 min
\( c .15 \) min
D. 25 min
Subject: Physics
A drop of water is placed on a glass plate. A double convex lens having radius of curvature of each surface 20
\( \mathrm{cm} \) is placed on it. The focal length of water lens \( \left(\mu \text { for water }=\frac{3}{4}\right), \) will be
A . -0.20
B. -0.60 \( \mathrm{m} \)
\( c .0 .30 \)
D. \( 0.40 \mathrm{m} \)
Subject: Chemistry
In a constant volume calorimeter, 5 g of gas with molecular weight 40 was burnt in excess of oxygen at 298 K. The temperature of the calorimeter was found to increase from \( 298 \mathrm{K} \) to 298.75
K due to the combustion process. Given that the heat capacity of the calorimeter is \( 2.5 \mathrm{kJK}^{-1} \), the numerical
value for the \( \triangle \boldsymbol{U} \) of combustion of the
\( \operatorname{gas} \operatorname{in} \mathrm{kJ} \operatorname{mol}^{-1} \mathrm{is} \)
A . 15
в. 12
\( c \cdot \) э०
D.
Subject: Physics
Each of the six ideal batteries of emf
\( 20 V \) is connected to an external
resistance of \( 4 \Omega \) as shown in the figure.
The current through the resistance is
\( \mathbf{A} \cdot 6 A \)
в. \( 3 A \)
\( c .4 A \)
D. \( 15 A \)
Subject: Chemistry
Which of the following statement is
false regarding isotopes?
A. They are atoms of same element having same number of protons and electrons but different number of neutrons.
B. Isotopes of an element have similar chemical perperties but different physical properties.
C. All the isotopes of an element have same number of valence electrons
D. The three isotopes of hydrogen (Protium, Deuterium and Tritium) contains one, two and three neutrons respectively.
Subject: Physics
An unknown transistor needs to be
identified as a \( n p n \) or \( p n p \) type.
multimeter, with \( + \)ve and -ve
terminals, is used to measure resistance between different terminals
of transistor. If terminal 2 is the base of
the transistor then which of the
following is correct for a \( p n p \) transistor?
A. \( + \)ve terminal
\( 1,-v e \) terminal
2 , resistance high
\( 2,-v e \) terminal
B. \( + \)ve terminal
\( 3, \) resistance low
c. \( + \)ve terminal
\( 3,-v e \) terminal
2 , resistance high
D. \( + \)ve terminal \( 2, \) -ve terminal \( 1, \) resistance high
Subject: Chemistry
An aqueous solution of a metal bromide
\( M B r_{2}(0.05 M) \) is saturated with \( H_{2} S \)
The minimum \( p H \) at which \( M S \) will
precipitate is \( \boldsymbol{X} ? \boldsymbol{K}_{s p} \) for \( \boldsymbol{M} \boldsymbol{S}=\mathbf{6 . 0} \times \)
\( 10^{-21} \)
[Concentration of saturated \( \boldsymbol{H}_{2} \boldsymbol{S}= \)
\( \mathbf{0 . 1} M ; K_{1}=10^{-7} \) and \( K_{2}=1.3 \times \)
\( \left.10^{-13} \text {for } H_{2} S\right] \)
\( A \)
B. 3
\( c \cdot 5 \)
D. None of these
Subject: Maths
If in the expansion of \( (1+x)^{n}, \) the
coefficients of three consecutive terms
are \( 56,70,56, \) then the value of \( n \) and
the position of the terms of these coefficients are given by
A \( \cdot n=8, \) the terms are \( 4^{t h}, 5^{t h}, 6^{t h} \)
B . \( n=7 \), the terms are \( 3^{r d}, 4^{t h}, 5^{t h} \)
C \( \cdot n=8 \), the terms are \( 5^{t h}, 6^{t h}, 7^{t h} \)
D. \( n=7 \), the terms are \( 4^{t h}, 5^{t h}, 6^{t h} \)
Subject: Physics
A satellite in earth orbit experiences a
small drag force as it enters the earth's atmosphere. Two students were asked consequence of this Student-A : The satellite would slow
down as, it spirals towards earth due to work of frictional force.

Student-B : The satellite speed up due
to earths gravitational pull as it spirals
towards earth.
A. A is correct, B is wrong
B. B is correct, A is wrong
c. both are correct
D. both are wrong
Subject: Maths
The volume of spherical ball is increasing at the rate of \( 4 \pi c c / \) sec. Then rate of surface area when volume is
\( 288 \pi c c \) is
\( ^{\mathbf{A}} \cdot \frac{3 \pi}{4} c m^{2} / s e c \)
B. \( \frac{4}{3} c m^{2} / \) sec
c. \( \frac{4 \pi}{3} \mathrm{cm}^{2} / \mathrm{sec} \)
D. \( \frac{3}{4} c m^{2} / \) sec
Subject: Physics
A potentiometer having a wire of \( 4 m \) length is connected to the terminals of a battery with a steady voltage. \( A \)
leclanche cell has a null point at 1 m. If
the length of the potentiometer wire is increased by 1 m, the position of the null point is
\( \mathbf{A} \cdot 1.5 m \)
B. \( 1.25 \mathrm{m} \)
c. 10.05 m
D. \( 1.31 m \)
Subject: Physics
Assertion
Turbulence is always dissipative.
Reason
High reynold number promotes
turbulence.
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
The points (3,2,0),(5,3,2) and \( (-9,6,-3), \) are the vertices of a triangle \( A B C . A D \) is the internal
bisector of \( \angle B A C \) which meets \( B C \) at
D. Then the co-ordinates of \( D \), are
A \( \cdot\left[\frac{17}{16}, \frac{57}{16}, \frac{19}{8}\right] \)
В. \( \left[\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right] \)
\( ^{\mathbf{c}} \cdot\left[0,0, \frac{17}{16}\right] \)
D. \( \left[\frac{17}{16}, 0,0\right] \)
Subject: Physics
A circular disc is rotating about its own natural axis. A constant opposing torque \( 2.75 N m \) is applied on the disc due to which it comes to rest in 28
rotations. If moment of inertia of disc is
\( 0.5 k g m^{2}, \) the initial angular velocity of
disc is:
A . 210 rpm
в. 280 rpm
c. \( 360 r p m \)
D. 420 rpm
Subject: Maths
\( f\left(a_{1}, a_{2}, a_{3}, \dots, a_{n}, \dots \) are in GP, then \right.
the value of the determinant \( \begin{array}{|ccc|}\log a_{n} & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8}\end{array} \mid \), is
A . 0
B. 1
\( c \cdot 2 \)
\( D .-2 \)
Subject: Physics
A water drop of radius 1.5 mm is falling from height \( 1 k m \) having drag constant 0.5 density of water drop is \( 1000 \mathrm{kg} / \mathrm{m}^{3} \)
and density of air is \( 1.29 \mathrm{kg} / \mathrm{m}^{3} \). Find the terminal velocity.
A. \( 8.7 \mathrm{m} / \mathrm{s} \)
B. \( 7.8 \mathrm{m} / \mathrm{s} \)
\( c .5 .6 m / s \)
D. \( 4.3 \mathrm{m} / \mathrm{s} \)
Subject: Maths
One diagonal of a square is along the
line \( 8 x-15 y=0 \) and one of its
vertices is \( (1,2) . \) Then the equations of the sides of the square passing through this vertex are
A \( .23 x+7 y=9,7 x+23 y=53 \)
в. \( 23 x-7 y+9=0,7 x+23 y+53=0 \)
c. \( 23 x-7 y-9=0,7 x+23 y-53=0 \)
D. None of these