AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which one of the following statement is false with respect to deep red
colouration produced with \( N H_{4} S C N ? \)
A. The deep red colour is bleached by \( H g(I I) \) jon
B. The deep red colouration is due to the formation of a non-dissociated iron \( (I I I) \) thiocyanate complex.
c. The deep red coloured compound can be extracted by ether or amyl alcoho
D. None of the above
Subject: Chemistry
The fusion of chromite ore \( \left(F e C r_{2} O_{4}\right) \)
with \( N a_{2} C O_{3} \) in air gives a yellow
solution upon addition of water. Subsequent treatment with \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
produces an orange solution. The yellow and orange colours, respectively, are due to the formation of:
A. \( N a_{2} C r O_{4} \) and \( N a_{2} C r_{2} O_{7} \)
в. \( \operatorname{Cr}(O H)_{3} \) and \( N a_{2} C r_{2} O_{7} \)
c. \( C r_{2}\left(C O_{3}\right)_{3} \) and \( F e_{2}\left(S O_{4}\right)_{3} \)
D. \( \operatorname{Cr}(O H)_{3} \) and \( N a_{2} C r O_{4} \)
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})\left\{\begin{aligned}=& \frac{\left|\boldsymbol{x}^{2}-\boldsymbol{x}\right|}{\boldsymbol{x}^{2}-\boldsymbol{x}}, \quad \boldsymbol{x} \neq \boldsymbol{0}, \boldsymbol{x} \neq \mathbf{1} \\=& \boldsymbol{x}=\mathbf{0} \\=-\mathbf{1}, & \boldsymbol{x}=\mathbf{1} \end{aligned} \) Discus \right.
its continuity in \( 0<x \leq 1 \)
This question has multiple correct options
A. continuous at \( x=0 \)
B. dis-continuous at \( x=1 \)
c. dis-continuous at \( x=0 \)
D. continuous at \( x=1 \)
Subject: Maths
\( f\left(2 x+\frac{y}{8}, 2 x-\frac{y}{8}\right)=x y, \) then show
that \( \boldsymbol{f}(\boldsymbol{m}, \boldsymbol{n})+\boldsymbol{f}(\boldsymbol{n}, \boldsymbol{m})=\mathbf{0} \)
Subject: Physics
A pump is used to lift \( 500 k g \) of water
from a depth of \( 80 m \) in \( 10 s \) (Take \( g=10 m s^{-2} \) ). Calculate the work
done by the pump.
A \( \cdot 16 \times 10^{5} J \)
В. \( 4 \times 10^{5} J \)
c. \( 4 \times 10^{8} J \)
D. \( 2 \times 10^{5} J \)
Subject: Chemistry
Based on the following reaction and rate data:
\( \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}) \rightarrow \) products
Experiment \( \quad \begin{array}{ll}{[\boldsymbol{A}]} & {[\boldsymbol{B}]} & \text { Initial } \\ \mathrm{mol} / \mathrm{L} & \mathrm{mol} / \mathrm{L}\end{array} \) 0.040 \( \begin{array}{ccc}1 & 0.060 & 0.010 \\ 2 & 0.030 & 0.010\end{array} \) an 0.040 3 A \( 0.030 \quad 0.020 \) 0.080
What is the order of the reaction with
respect to \( \boldsymbol{A} ? \)
\( A \cdot O \)
B.
\( c \cdot 2 \)
D. 3
\( E \cdot 4 \)
Subject: Maths
State whether the given statement is
True or False \( \int_{0}^{2} e^{x^{2}} d x \) can be represented as
\( 2 \lim _{n \rightarrow \infty} \frac{1}{n}\left[e^{0}+e^{\frac{4}{n^{2}}}+e^{\frac{16}{n^{2}}}+\ldots \ldots+e^{\frac{2(n-1)^{2}}{n^{2}}}\right] \)
A. True
B. False
Subject: Physics
The circuit below shows six resistors in
a circuit with a voltage source
supplying a voltage, \( V \)
Which table gives the correct voltage
drops across resistor 6 and resistor \( 3 ? \)
A. Voltage Drop across Resistor 6 - Voltage Drop across Resistor \( 3, V / 6-V / 6 \)
B. Voltage Drop across Resistor 6 - Voltage Drop across Resistor \( 3, V-V \)
c. voltage Drop across Resistor 6 - voltage Drop across Resistor \( 3.3 V-V \)
D. voltage Drop across Resistor 6 - Voltage Drop across Resistor \( 3, V / 3-V \)
E : " ge Drop across Resistor 6- Voltage Drop across \( \operatorname{tor} 3, V-V / 3 \)
Subject: Physics
Given \( \overrightarrow{\boldsymbol{F}}=(4 \hat{\boldsymbol{i}}-10 \hat{\boldsymbol{j}}) \) and \( \overrightarrow{\boldsymbol{r}}=(-5 \hat{\boldsymbol{i}}- \)
\( 3 \hat{j}), \) then compute torque.
\( \mathbf{A} \cdot-62 \hat{j} \) unit
B. \( 62 \hat{k} \) unit
c. \( 48 \hat{i} \) unit
D. \( -48 \hat{k} \) unit
Subject: Maths
\( \int_{0}^{\pi} x f(\sin x) d x \) is equal to
\( \mathbf{A} \cdot \pi \int_{0}^{x} f(\cos x) d x \)
\( \mathbf{B} \cdot \pi \int_{0}^{x} f(\sin x) d x \)
\( ^{\mathbf{C}} \cdot \frac{\pi}{2} \int_{0}^{x / 2} f(\sin x) d x \)
D \( \cdot \pi \int_{0}^{\pi / 2} f(\cos x) d x \)
Subject: Maths
A manufacturer produces nuts and bolts. It takes 1 hour of work on
machine \( A \) and 3 hours on machine \( B \)
to produce a package of nuts. It takes 3 hours on machine \( A \) and 1 hour on
machine \( B \) to produce a package of bolts. He earns a profit of \( R s .17 .50 \) per
package on nuts and \( R s .7 .00 \) per
package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates
his machines for at the most 12 hours a
day?
Subject: Maths
Find the values of \( x, \) if \( \left|\begin{array}{ll}\mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5}\end{array}\right|=\left|\begin{array}{ll}\boldsymbol{x} & \mathbf{3} \\ \mathbf{2} \boldsymbol{x} & \mathbf{5}\end{array}\right| \)
Subject: Maths
In a geometric series, the first term \( =a \)
common ratio \( =r . \) If \( S_{n} \) denotes the
sum of the \( n \) terms and \( U_{n}=\sum_{n=1}^{n} S_{n} \)
then \( r S_{n}+(1-r) U_{n} \) equals to
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot n a \)
D. \( n a \)
Subject: Physics
\( A, B \) and \( C \) are three large, paralle
conducting plates, placed horizontally
\( A \) and \( C \) are rigidly fixed and earthed. \( B \)
is given some charge. Under
electrostatic and gravitational forces, \( \boldsymbol{B} \)
may be :
This question has multiple correct options
A. in equilibrium midway between \( A \) and \( C \)
B. in equilibrium if it is closer to \( A \) than to \( C \)
c. in equilibrium if it is closer to \( C \) than to \( A \)
D. \( B \) can never be in stable equilibrium
Subject: Physics
A metal block has dimension \( 10 \mathrm{cm} \times \)
\( 5 c m \times 2 c m \).the ratio of maximum to
minimum resistance that can be
obtained from it is
\( \mathbf{A} \cdot 25: 1 \)
B. 1: 25
\( \mathbf{c} \cdot 10: 3 \)
D. 3: 10
Subject: Chemistry
The half year period for a zero order reaction is equal to:
\( \mathbf{A} \cdot 2 K /[A] o \)
в. \( \frac{[A]_{0}}{2 k} \)
c. \( \frac{0.693}{k} \)
D. \( \frac{0.693}{k[A]_{o}} \)
Subject: Physics
Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area \( 1.0 \times 10^{-7} m^{2} \)
carrying a current of 1.5 A. Assume that
each copper atom contributes roughly one conduction electron. The density of copper is \( 9.0 \times 10^{3} k g m^{-3} \) and its
atomic mass is 63.5 amu.
В. \( 1.1 \times 10^{-3} \mathrm{ms}^{-1} \)
D. \( 2.1 \times 10^{3} \mathrm{ms}^{-1} \)
Subject: Physics
Complete the following sentence : A rod is brought near the disc of a positively charged gold leaf electroscope. Ifthe divergence of leaves \( \ldots, \) the rod is positively charged; if the divergence of leaves ......... the rod is negatively charged; if the divergence of leaves \( \ldots \ldots . \) the rod is uncharged.
A. decreases, decreases, decreases
B. increases, decreases, increases.
c. increases, increases, decreases
D. increases, decreases, decreases.
Subject: Physics
The amplitude of a damped oscillator becomes \( \left(\frac{1}{3}\right) r d \) in \( 2 s . \) If its amplitude \( \operatorname{after} 6 s \operatorname{in} \frac{1}{n} \) times the original
amplitude, the value of \( n \) is
\( A \cdot 3^{2} \)
B. \( 3 \sqrt{2} \)
\( c \cdot 3^{3} \)
D. \( 2^{3} \)
Subject: Maths
if a line makes angles \( \alpha, \beta, \gamma, \delta \) with
four diagonals a cube then value of
\( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma+\sin ^{2} \delta \) equals
\( A \cdot 2 \)
B. \( \frac{4}{3} \)
\( c \cdot \frac{8}{3} \)
D.
Subject: Chemistry
Which of the following balanced equation correctly represents the formation of ammonia using Haber's
process?
A. \( N_{2}+H_{2} \rightarrow 2 N H_{3} \)
в. \( N_{2}+3 H_{2} \rightarrow N H_{3} \)
c. \( N_{2}+3 H_{2} \rightarrow 2 N H_{3} \)
D. \( 2 N_{2}+3 H_{2} \rightarrow 4 N H_{3} \)
Subject: Chemistry
Which one of the following sets contribute to the global warming?
\( A \cdot S O_{2}, S O_{3}, O_{2} \)
B. \( N_{2}, C_{2} H_{6}, S O_{3} \)
c. \( C O_{2}, C H_{4}, C F C s \)
\( \mathrm{D} \cdot \mathrm{H}_{2}, \mathrm{NO}_{2}, \mathrm{SO}_{2} \)
Subject: Chemistry
Addition of mercuric acetate in the
presence of water is called as
oxymercuration. The adduct obtained
gives alcohol on reduction with \( N a B H_{4} \) in alkaline medium. This is known as
demercuration. Oxymercurationdemercuration allows Markownikoff's
addition of \( \mathrm{H}, \mathrm{OH} \) without
rearrangement. The net result is the
addition of \( H_{2} O . \) Answer the following
question:
The product 'C' formation from B occurs through:
A. Enol formation.
B. \( S_{N} 1 \) mechanism.
c. Neighbouring group particitation.
D. \( S_{N} A E \) mechanism.
Subject: Physics
A conducting rod of length \( l \) falls
vertically under gravity in a region of uniform magnetic field \( \vec{B} \). The field vectors are inclined at an angle \( \boldsymbol{\theta} \) with
the horizontal as shown in figure. If the
instantaneous velocity of the rod is \( \boldsymbol{v} \)
the induced emf in the rod \( a b \) is:
\( \mathbf{A} \cdot B l v \)
B. \( B l v \cos \theta \)
c. \( B l v \sin \theta \)
D. zero
Subject: Chemistry
The compound in which all carbon
atoms use only \( s p^{3} \) - hybrid orbitals for
bond formation is?
A. \( C H_{3} C H O \)
в. \( C H_{3} C O C H_{3} \)
\( \mathrm{c} \cdot\left(\mathrm{CH}_{3}\right)_{3} \mathrm{COH} \)
D. \( H C O O H \)
Subject: Maths
The value of the integral \( \int_{\frac{\pi}{6}}^{\frac{\pi}{2}}\left(\frac{1+\sin 2 x+\cos 2 x}{\sin x+\cos x}\right) d x \) is equal
to
A . 16
B. 8
\( c \cdot 4 \)
\( D \)
Subject: Physics
When the angle between incident ray
and mirror is \( 20^{\circ}, \) calculate the angle of
incidence and angle of reflection.
A. Angle of incidence \( =20^{\circ} \)
Angle of reflection \( =50^{\circ} \)
B. Angle of incidence \( =20^{\circ} \)
Angle of reflection \( =20^{\circ} \)
C. Angle of incidence \( =70^{\circ} \)
Angle of reflection \( =70^{\circ} \)
D. Angle of incidence \( =160^{\circ} \)
Angle of reflection \( =50^{\circ} \)
Subject: Chemistry
25 \( \$ \$ \mathrm{cm}^{\wedge 3} \$ \$ \) of oxalic acid completely neutralise 0.064 g of sodium hydroxide. Molarity of the oxalic acid solution is
A . 0.032
B. 0.064
\( c \cdot 0.0004 \)
\( D \cdot+4 \)
Subject: Chemistry
Which one of the following does not
correctly represent the correct order of
the property indicated against it?
\( \mathbf{A} \cdot T i^{3+}<V^{3+}<C r^{3+}<M n^{3+} ; \) increasing magnetic
moment
B. \( T i<V<C r<M n \); increasing melting point
C \( . T i<V<M n<C r ; \) increasing 2nd ionization enthalpy
D. \( T i<V<C r<M n \); increasing number of oxidation
states
Subject: Maths
The force \( F \) is exerted on a particle of mass 5 kg. If the particle starts from rest from origin and its position after 3
s is \( (4.5 \hat{i}+13.5 \hat{j}) m, \) then find \( \vec{F} \).
A \( \cdot(5 \hat{i}+13.5 \hat{j}) N \)
B . \( (5 \hat{i}+15 \hat{j}) N \)
c. \( (5 \hat{i}+13 \hat{j}) N \)
D. \( (15 \hat{i}+5 \hat{j}) N \)
Subject: Chemistry
Assertion
Both Grinard reagent and dialkyl cadmium react with acid chlorides to
form tert. alcohols.
Reason
Grignard reagents are as reactive as diakyl cadmium.
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
Assertion
Amperes circuital law holds for steady
currents which do not fluctuate with
time.
Reason
Amperes circuital law is similar to that
of Biot-savarts law.
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
Elevation in boiling point was \( 0.52^{\circ} \mathrm{C} \) when 6 g of a compound \( X \) was dissolved in 100 g of water. Molecular mass of the compound M in \( g \) mol \( ^{-1} \) is:
\( K_{b} \) for water is \( 0.52 \mathrm{Km}^{-1} \).)
A . 120
B. 60
\( c \cdot 600 \)
D. 180
Subject: Physics
The displacement in \( n^{t h} \) second of uniformly acelerated motion is given by \( \boldsymbol{S}_{\boldsymbol{n}^{t h}}=\boldsymbol{u}+\frac{\boldsymbol{a}}{2}(\boldsymbol{2} \boldsymbol{n}-1) . \) This equation is
dimensionally
A. correct
B. not correct
c. can be made correct by multiplying the right hand side of equation by n
D. can be made correct by dividing the left h and side of the equation by n
Subject: Chemistry
Which of the following has the highest boiling point ?
\( \mathbf{A} \cdot\left(C H_{3}\right)_{4} C \)
в. \( \left(C H_{3}\right)_{2} C H C H_{3} \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H_{2} C H_{2} C H_{3} \)
D. \( C H_{3} C H_{2} C H_{2} C H_{3} \)
Subject: Physics
Two point charges \( 2 q \) and \( 8 q \) are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is a minimum.
A. At a distance of r/3 from 2 q.
B. At a distance of 2 r/3 from 2 2
c. At a distance of r/16 from 2q.
D. There is no such position
Subject: Physics
Two spheres of masses \( m \) and \( M \) are situated in air and the gravitational force between them is F. The space around the masses is now filled with a
liquid of specific gravity \( 3 . \) The new gravitational force will be :
\( A \cdot F \)
в. \( \frac{F}{3} \)
\( c .3 F \)
D. \( \frac{F}{9} \)
Subject: Physics
A particle executing SHM has a
maximum speed of \( 30 \mathrm{cm} s^{-1} \) and a
maximum acceleration of \( 60 \mathrm{cms}^{-2} \). The
period of oscillation is:
A . \( \pi \)
в. \( \frac{\pi}{2} s \)
c. \( 2 \pi \)
D. \( \frac{2 \pi}{15} \)
Subject: Physics
Two metal spheres each of radius 'r' are kept in contact with each other. If d is
the density of the material of the sphere, then the gravitational force between those spheres is propositional
to
\( \mathbf{A} \cdot d^{2} r^{6} \)
B. \( d^{2} r^{4} \)
c. \( \frac{d^{2}}{r^{4}} \)
D. \( \frac{r^{4}}{d^{2}} \)
Subject: Chemistry
The IUPAC name of \( \boldsymbol{K}_{3}\left[\operatorname{Ir}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right] \) is:
A. Potassium trioxalatoiridium (III)
B. Potassium trioxalatoiridate (III)
c. Potassium tris (oxalato) iridium (III)
D. Potassium tris (oxalato) iridate (III)
Subject: Maths
ff \( \boldsymbol{x}=\boldsymbol{a} \sin \boldsymbol{\theta}+\boldsymbol{c} \cos \boldsymbol{\theta} \) and \( \boldsymbol{y}= \)
\( \boldsymbol{a} \cos \boldsymbol{\theta}-\boldsymbol{c} \sin \boldsymbol{\theta}, \operatorname{then} \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\boldsymbol{a}^{2}+\boldsymbol{c}^{2} \)
A . True
B. False
Subject: Physics
A wave has wavelength \( 50 A^{\circ} . \) State the
speed of wave in vacuum.
A. \( 3 \times 10^{8} \mathrm{ms}^{-1} \)
В \( \ldots 3 \times 10^{8} m s^{-1} \)
\( \mathbf{c} \cdot\left\langle 3 \times 10^{8} m s^{-1}\right. \)
D. Insufficient information
Subject: Physics
Two persons of masses \( 55 k g \) and \( 65 k g \)
respectively, are at the opposite ends of a boat. The length of the boat is \( 3.0 m \)
and weights 100kg. The 55kg man
walks up to the \( 65 k g \) man and sits with
him. If the boat is in still water the
centre of mass of the system shifts by:
A. zero
B. \( 0.75 m \)
\( c .3 .0 m \)
D. \( 2.3 m \)
Subject: Maths
The surface area of a cube is \( 441 m^{2} \)
Find its side.
\( \mathbf{A} \cdot 8.5 \mathrm{m} \)
B. \( 8.2 \mathrm{m} \)
c. \( 8.1 \mathrm{m} \)
D. \( 8.4 \mathrm{m} \)
Subject: Physics
If one of the two slits of a Young's double slit experiment is painted over so that it transmits half the light intensity of the
other, then:
A. the fringe system would disappear
B. the bright fringes would be brighter \& dark fringes would be darker
c. the dark fringes would be brighter and bright fringes would be darker
D. bright as well as dark fringes would be darker
Subject: Maths
Akhila went to a fair in her village. She
wanted to enjoy rides on the Giant
Wheel and play Hoopla (a game in which you throw a ring on the items kept in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla half the number of rides she had on the
Giant Wheel. Each ride costs \( R s .3 \), and
a game Hoopla costs \( R s .4 . \) If she spent
Rs.20 in the fair, represent this situation algebraically
Subject: Maths
\( \int \frac{\sin 2 x}{\sin ^{4} x+\cos ^{4} x} d x \) is equal to
A \( \cdot \cot ^{-1}\left(\tan ^{2} x\right)+C \)
B. \( \tan ^{-1}\left(\tan ^{2} x\right)+C \)
C. \( \cot ^{-1}\left(\cot ^{2} x\right)+C \)
D. \( \tan ^{-1}\left(\cot ^{2} x\right)+C \)
Subject: Chemistry
A hydrogen electrode placed in a buffer
solution of \( C H_{3} C O O N a \) and \( C H_{3} C O O H \)
in the ratios \( x: y \) and \( y: x \) has electrode
potential values \( E_{1} \) volts and \( E_{2} \) volts
respectively at \( 25^{0} \mathrm{C} \). The \( p K_{a} \) value of
acetic acid is :
\( \left[E_{1} \text { and } E_{2} \text { are oxidation potentials }\right] \)
A \( \cdot \frac{E_{1}+E_{2}}{0.118} \)
В. \( \frac{E_{2}-E_{1}}{0.118} \)
\( c \cdot-\frac{E_{1}+E_{2}}{0.118} \)
D. \( \frac{E_{1}-E_{2}}{0.118} \)
Subject: Maths
Value of the determinant \( \left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{p} & \boldsymbol{q} & \boldsymbol{r} \\ \boldsymbol{y} \boldsymbol{z} & \boldsymbol{z} \boldsymbol{x} & \boldsymbol{x} \boldsymbol{y}\end{array}\right| \)
is equal to
A \( \cdot x^{p}\left(z^{2}-y^{2}\right)+q y\left(x^{2}-z^{2}\right)+r z\left(-x^{2}+y^{2}\right) \)
В . \( x^{p^{p}\left(z^{2}-y^{2}\right)+q y\left(x^{2}-z^{2}\right)+r z\left(x^{2}-y^{2}\right)} \)
C. \( x^{p}\left(z^{2}-y^{2}\right)+q y\left(-x^{2}+z^{2}\right)+r z\left(-x^{2}+y^{2}\right) \)
D.
Subject: Maths
Find the value of \( \lambda, \) a non - zero scalar, if
\[
\left.\begin{array}{l}
\boldsymbol{\lambda}\left[\begin{array}{lll}
\mathbf{1} & \mathbf{0} & \mathbf{2} \\
\mathbf{3} & \mathbf{4} & \mathbf{5}
\end{array}\right]+\mathbf{2}\left[\begin{array}{ccc}
\mathbf{1} & \mathbf{2} & \mathbf{3} \\
-\mathbf{1} & \mathbf{- 3} & \mathbf{2}
\end{array}\right]= \\
\mathbf{4} & \mathbf{4} & \mathbf{1 0} \\
\mathbf{4} & \mathbf{2} & \mathbf{1 4}
\end{array}\right]
\]
Subject: Biology
Assertion
Atria act as primer pumps that
increase the ventricular pumping.
Reason

About 80 percent of the blood flows directly through the atria into
ventricles.
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
In Young's double slit experiment, the two slits act as coherent sources of
equal amplitude a and of wavelength \( \lambda \) In another experiment with the same set up, the two slits are source of equal
amplitude \( n \) and wavelength \( \lambda \), but are incoherent. The ratio of intensities of
light at the mid point of the screen in the first case to that in the second case
is
A .2: 1
B . 1: 2
\( c \cdot 3: 4 \)
\( D \cdot 4: 3 \)
Subject: Maths
If \( \sec \theta+\tan \theta=k, \cos \theta= \)
A. \( \frac{k^{2}+1}{2 k} \)
в. \( \frac{2 k}{k^{2}+1} \)
c. \( \frac{k}{k^{2}+1} \)
D. \( \frac{k}{k^{2}-1} \)
Subject: Chemistry
Statement- \( \mathrm{I}:\left(\boldsymbol{C} \boldsymbol{H}_{3}\right)_{3} \boldsymbol{C} \boldsymbol{C O C}\left(\boldsymbol{C H}_{3}\right)_{3} \)
and acetone can be distinguished by
the reaction with \( N a H S O_{3} \)

Statement- \( \|: S O_{3}^{-2} \) is the nucleophile in bisulphate addition.
A. Both the statements are true and statement-ll is the correct explanation of statement-
B. Both statements are true but statement-ll is not the correct explanation of statement-
c. statement-l is true but statement-ll is false
D. Statement-I is false but statement-II is true
Subject: Physics
Let 'gh' and 'g \( _{d} \) ' be the acceleration due
to gravity at height 'h' above the earth's
surface and at depth ' \( d \) below the
earth's surface respectively. IF \( \boldsymbol{g}_{\boldsymbol{h}}=\boldsymbol{g}_{\boldsymbol{d}} \)
then the relation between 'h' and ' \( d \) is
\( \mathbf{A} \cdot d=h \)
B. \( d=\frac{h}{2} \)
\( c \cdot d=\frac{h}{4} \)
D. \( d=2 h \)
Subject: Physics
In an experiment of photoelectric effect,
the graph of maximum kinetic energy
\( E_{k} \) of the emitted photoelectrons versus
the frequency v of the incident light is a
straight line \( A B \) as shown in Figure
below:
(i) Threshold frequency of the metal.
(ii) Work function of the metal.
(iii) Stopping potential for the photoelectrons emitted by the light of
frequency \( \boldsymbol{v}=\mathbf{3 0 x} \times \mathbf{1 0}^{\mathbf{1 4}} \mathbf{H z} \)
Subject: Biology
\( \ln \) a 125 amino acid sequence, if \( 25^{t h} \) amino acid is mutated to UAA, then
A. A polypeptide of 124 amino acids is formed.
B. A polypeptide of 25 amino acids is formed
c. A polypeptide of 24 amino acids is formed.
D. Any of the above can be possible.
Subject: Physics
with an angular frequency \( \omega \) with one
end hinged at the centre and the other
end at the circumference of a circular
metallic ring of radius \( R, \) about an axis
passing through the centre and
perpendicular to the plane of the
ring.There is a magnetic field B, perpendicular to the plane of the ring. The emf induced between the centre
and the metallic ring is
A. \( B \) sinwt
\( ^{\mathbf{B}} \cdot \frac{B R^{2} \omega}{2} \)
\( \mathbf{c} \cdot 2 B R^{2} \omega \)
D. \( B R^{2} \omega \)
Subject: Maths
Of the students in a school in a school, it is known that \( 30 \% \) have \( 100 \% \)
attendance and \( 70 \% \) students are
irregular. Previous year results report that \( 70 \% \) of all students who have \( 100 \% \)
attendance attain A grade and \( 10 \% \)
irregular students attain A grade in
their annual examination. At the end of
the year,one student is chosen at
random from the school and he was
found to have an A grade,what is the probability that the student has \( 100 \% \) attendance?
Subject: Chemistry
The correct order for acid strength is:
\( \mathbf{A} \cdot A l_{2} O_{3}<S i O_{2}<P_{2} O_{3}<S O_{2} \)
B. \( S i O_{2}<S O_{2}<A l_{2} O_{3}<P_{2} O_{3} \)
\( \mathbf{c} \cdot A l_{2} O_{3}<S i O_{2}<S O_{2}<P_{2} O_{3} \)
D. \( S O_{2}<P_{2} O_{3}<S i O_{2}<A l_{2} O_{3} \)
Subject: Maths
If the points \( \boldsymbol{A}(\mathbf{3},-\mathbf{2}, \mathbf{4}), \boldsymbol{B}(\mathbf{1}, \mathbf{1}, \mathbf{1}) \) and
\( C(-1,4,-2) \) are collinear, then the ratio in which \( C \) divides \( A B \) is
A .1: 2
B . -2: 1
c. -1: 2
D. 4: 0
Subject: Physics
A current carrying conducting square frame of side I carrying current lis
placed in a uniform transverse magnetic field \( \vec{B} \) as shown in the figure.
Choose the incorrect statement.
A. Magnitude of force on the frame is \( 4 I B l \)
B. Magnitude of torque on the frame \( I l^{2} B \)
C. Torque on the frame is zero
D. Both (1) and (2)
Subject: Chemistry
A mixture contains 1 mole of volatile
liquid \( A\left(P_{A}^{\circ}=100 m m H g\right) \) and 3
moles of volatile liquid \( \boldsymbol{B}\left(\boldsymbol{P}_{\boldsymbol{B}}^{\circ}=\right. \)
\( 80 m m H g) . \) If solution behaves ideally
the total vapour pressure of the distillate is :
A. \( 85 \mathrm{mm} \) Hg
B. \( 85.88 \mathrm{mm} \) Н
\( \mathbf{c} .90 \mathrm{mm} \mathrm{Hg} \)
D. \( 92 \mathrm{mm} \) Hg
Subject: Maths
The points where the function \( f(x)= \)
\( [\boldsymbol{x}]+|\mathbf{1}-\boldsymbol{x}|,-\mathbf{1} \leq \boldsymbol{x} \leq \mathbf{3}, \) where [
denotes the greatest integer function, is not differentiable are
A. \( x=-1,0,1,2,3 \)
B. \( x=-1,0,2 \)
c. \( x=0,1,2,3 \)
D. \( x=-1,0,1,2 \)