AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which of the following statements is
not correct?
A. Proteins are poly amides formed from aminoacids
B. Except glycine, all other amino acids show optical activity
C. Natural proteins are made up of L isomers of amino acids
D. In amino acids \( \mathrm{NH}_{2} \) and \( \mathrm{COOH} \) groups are attached to
different carbon atoms
Subject: Chemistry
f the balanced reaction is as given
below, find the value of \( x, y \) and \( z \)
\( \boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}^{2+}(\boldsymbol{a q})+\boldsymbol{S}_{2} \boldsymbol{O}_{4}^{2-}(\boldsymbol{a q})+ \)
\( \boldsymbol{x} \boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{y} \boldsymbol{S} \boldsymbol{O}_{3}^{2-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C} \boldsymbol{u}(\boldsymbol{s}) \)
\( +z N H_{3}(a q)+2 H_{2} O \)
A. \( x=4, y=2, z=4 \)
в. \( x=3, y=2, z=3 \)
c. \( x=4, y=3, z=4 \)
D. None of the above
Subject: Physics
The mass of a \( _{3}^{7} L i \) nucleus is \( 0.042 u \) less than the sum of the masses of all
its nucleons.What is the binding energy
per nucleon of \( _{3}^{7} \) Li nucleus?
A .23 MeV
в. 46 МеV
\( \mathbf{c} .5 .6 \mathrm{MeV} \)
D. \( 3.9 \mathrm{MeV} \)
Subject: Maths
Find the area of trapezium \( \boldsymbol{A B C D} \)
where \( A B \) is parallel to \( D C . A B= \)
\( \mathbf{7} \mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{C}=\mathbf{2} \boldsymbol{8} \boldsymbol{c m}, \boldsymbol{C} \boldsymbol{D}= \)
\( 60 c m, D A=26 c m \)
Subject: Physics
\( V_{m} \) is the maximum voltage between trends of the secondary terminal of a
transformer used in a half wave
rectifier. When the PN junction diode is reverse biased, what will be the
potential difference between two ends
of the diode?
A. zero
в. \( \frac{V_{m}}{2} \)
c. \( V_{m} \)
D. \( 2 V_{m} \)
Subject: Maths
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{a}^{2} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{b}^{2} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{c}^{2}\end{array}\right|=(\boldsymbol{a}-\boldsymbol{b})(\boldsymbol{b}-\boldsymbol{c})(\boldsymbol{c}-\boldsymbol{a}) \)
Subject: Chemistry
If the uncertainty in velocities of two
particles \( A \) and \( B \) with \( \operatorname{mass} 1.0 x \) \( 10^{-27} k g \) and \( 1.0 \times 10^{-31} k g \)
respectively is same, the ratio of uncertainty in the positions of \( A \) and \( B \) is :
A . 1000:
B. 10,000:
c. 1: 1000
D. 1:10,000
Subject: Physics
A body travelling with uniform acceleration crosses two points \( A \) and
\( B \) with velocities \( 20 m s^{-1} \) and \( 30 m s^{-1} \)
respectively. The speed of the body at mid-point of \( A \) and \( B \) is:
A \( \cdot 25 m s^{-1} \)
B . \( 25.5 \mathrm{ms}^{-1} \)
c. \( 24 m s^{-1} \)
D. \( 10 \sqrt{6} \mathrm{ms}^{-1} \)
Subject: Biology
Which is correct order in evolutionary
history of man
A. Peking Man Habilus Man \( \rightarrow \)
Neanderthal Man \( \rightarrow \)
Cro-Magnon Man
B. Peking Man \( \rightarrow \)
Heidelberg Man \( \rightarrow \)
Neanderthal Man \( \rightarrow \)
Cro-Magnon Man
c. Peking Man \( \rightarrow \)
Neanderthal Man \( \rightarrow \)
Homo sapiens \( \rightarrow \)
Heidelberg Man
D. Poking. Man \( \rightarrow \)
Homo sapiens \( \rightarrow \)
Neanderthal Man \( \rightarrow \)
Cro-Magnon Man
Subject: Physics
To which logic gate does the truth table given below correspond?
\( \begin{array}{ccc}\mathbf{A} & \mathbf{B} & \mathbf{Y} \\ 0 & 0 & 1 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 0\end{array} \)
A. OR gate
B. AND gate
c. NAND gate
D. NOR gate
Subject: Physics
A particle of small mass \( m \) is joined to
a very heavy body of mass \( M \) by a light
string passing over a light pulley. Both
bodies are free to move. The total
downward force on the pulley is nearly
A . \( m g \)
в. \( 2 m g \)
c. \( 4 m g \)
D. Can not be determined
Subject: Chemistry
Two platinum electrodes were
immersed in a solution of \( C u S O_{4} \) and
electric current was passed through the solution. After some time, it was found
that colour of \( C u S O_{4} \) disappeared with evolution of gas at the electrode. The colorless solution contains:
A. Platinum sulphate
B. Copper hydroxide
c. copper sulphate
D. Sulphuric acid
Subject: Physics
\( \operatorname{Let} \vec{a}=4 \vec{i}+3 \vec{j} \) and \( \vec{b}=3 \vec{i}+4 \vec{j} . \) Find
the magnitude of \( \overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{b}} \)
Subject: Physics
Which of the following is true regarding
superconductivity?
A. The superconducting state cannot exist in the presence of a magnetic field lesser than a critical value, even at absolute zero
B. The superconducting state exists in the presence of a magnetic field greater than a critical value, even at absolute zero
C. The superconducting state exists in the presence of a magnetic field lesser than a critical value, even at absolute zero
D. The superconducting state cannot exist in the presence of a magnetic field greater than a critical value, even at absolute zero
Subject: Physics
Which of the following is/are true regarding breakdown voltage of Zener
diode?
A. If the reverse bias voltage across a p-njunction diode is increased, at a particular voltage the reverse current suddenly decreases to a large value
B. The holes in the n-side and the conduction electrons in the p-side are accelerated due to the reverse bias voltage.
C. The voltage at which the rate of creation of holeelectron pairs is increased leading to the increased current is called avalanche breakdown
D. None of the above
Subject: Maths
In an ellipse, the distance between its focii is 6 and minor axis is \( 8 . \) Then its
eccentricity is
A \( \cdot \frac{3}{5} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{4}{5} \)
D. \( \frac{1}{\sqrt{5}} \)
Subject: Chemistry
Which of the following represents the
expression for \( \frac{3}{4} \) th life of first order reaction?
\( ^{\mathrm{A}} \cdot \frac{2.303}{k} \log 4 / 3 \)
в. \( \frac{2.303}{k} \log 3 / 4 \)
c. \( \frac{2.303}{k} \log 4 \)
D. \( \frac{2.303}{k} \log 3 \)
Subject: Chemistry
In the table properties of some
specimens are given.
\( \begin{array}{llll}\text { Specimen } & \begin{array}{l}\text { Melting } \\ \text { Point }\end{array} & \text { Shining } & \text { Malleabi } \\ \mathrm{P} & \text { High } & \text { more } & \text { No } \\ \mathrm{Q} & \text { High } & \text { less } & \text { No } \\ \mathrm{R} & \text { High } & \text { more } & \text { Yes } \\ \mathrm{S} & \text { Low } & \text { less } & \text { Yes }\end{array} \) Which specimen is precisely a metal?
\( \mathbf{A} \cdot \mathbf{R} \)
\( B . \quad \) О
\( c \cdot F \)
\( D \cdot S \)
Subject: Chemistry
\( R-C H_{2}-C H_{2} O H \) can be converted
to \( \boldsymbol{R}-\boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C O O H} . \) The correct
sequence of reagents is:
A \( \cdot P B r_{3}, K C N, H_{3} O^{+} \)
в. \( P B r_{3}, K C N, H_{2} \)
c. \( K C N, H^{+} \)
D. \( H C N, P B r_{3}, H^{+} \)
Subject: Maths
Draw a circle with centre 0 and radius
\( 3.5 \mathrm{cm} . \) Draw two tangents PA and PB from an external point \( P \) such that \( < \)
\( A P B=45^{0} . \) What is the value of \( < \)
\( \boldsymbol{A O B}+<\boldsymbol{A P B} \)
Subject: Chemistry
An alpha particle after passing through a potential difference of \( 2 \times 10^{6} \) volt
falls on a silver foil. The atomic number
of silver is \( 47 . \) The \( K . E . \) of the \( \alpha \) -particle
at the time of falling on the foil is:
A \( .6 .4 \times 10^{-13} \mathrm{J} \)
В . \( 4.5 \times 10^{-13} \mathrm{J} \)
c. \( 6.8 \times 10^{-13} \mathrm{J} \)
D. \( 5.8 \times 10^{-13} \mathrm{J} \)
Subject: Physics
One end of a nylon rope of length \( 4.5 m \)
and diameter \( 6 m m \) is fixed to a stem of
a tree. A monkey weighting \( 100 N \) jumps to catch the free end and stays there. what will be the change in the diameter of the rope. (Given Young's modulus of nylon \( =4.8 \times 10^{11} N m^{-2} \)
and Poisson's ratio of nylon \( =0.2 \) )
A. \( 8.8 \times 10^{-9} \mathrm{m} \)
в. \( 7.4 \times 10^{-9} \mathrm{m} \)
c. \( 6.4 \times 10^{-8} \mathrm{m} \)
D. \( 5.6 \times 10^{-9} \mathrm{m} \)
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{a} \cos ^{-1} \boldsymbol{x}} \) then \( \left(\boldsymbol{1}-\boldsymbol{x}^{2}\right) \boldsymbol{y}^{\prime \prime}-\boldsymbol{x} \boldsymbol{y}^{\prime}= \)
A . \( a y \)
B. \( -a^{2} y \)
c. \( -a y \)
D \( \cdot a^{2} y \)
Subject: Maths
The range of \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{6}-|\mathbf{2} \boldsymbol{x}+\mathbf{3}| \) is
\( A \cdot(-\infty, 6] \)
B. \( [6, \infty) \)
c. [2,6]
D. \( (0, \infty) \)
Subject: Physics
A convex lens of focal length \( 0.12 \mathrm{m} \) produces a virtual n image which is thrice the size of the object. Find the distance between the object and the lens
A. \( 0.04 \mathrm{m} \)
B. \( 0.08 \mathrm{m} \)
c. \( 0.12 \mathrm{m} \)
D. 0.24 m
Subject: Physics
A sample of hydrogen gas contain 100 atoms. All the atoms are excited to the
same n excited state. The energy released by all the atoms is \( \frac{4800}{49} . R= \) \( 13.6 \mathrm{eV} \) ), as they come to the ground
state through various types of transition Then Find
A. maximum energy of the emitted photon will be less \( \operatorname{than} \frac{48}{49} R c h \)
B. Maximum energy of the emitted photon may be greater than \( \frac{48}{49} \) Rch
c. The value of \( n=6 \)
D. None of these
Subject: Physics
At what rate, in mega gram per minute, must hydrogen be consumed in fusion reaction to provide the sun with the energy it radiates? (Take mass defect
per reaction to be 0.028706 a.m.u)
A . \( 3.66 \times 10^{14} \) mega gram \( \min ^{-1} \)
B. \( 3.66 \times 10^{16} \) mega gram \( \min ^{-1} \)
C. \( 3.66 \times 10^{15} \) mega gram \( \min ^{-1} \)
D. 3.66 \( \times 10^{10} \) mega gram \( \min ^{-1} \)
Subject: Physics
A capacitor is charged using an external battery with a resistance \( x \) in
series. The dashed line shows the
variation of \( l n I \) with respect to time.
If the resistance is changed to \( 2 x, \) the
slope of new graph will be \( ^{\prime} 1 / k^{\prime} \) times of
the old slope. Then the value o \( k \) will be:
Subject: Physics
toppr \( t \)
Q Type your question-
\( \sqrt{1} \cdot \frac{1}{2} \)
\( A \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
в. \begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{0} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}
D. \begin{tabular}{|c|c|c|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{Y} \) \\
\hline \( \mathbf{0} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{0} \) & \( \mathbf{1} \) \\
\( \mathbf{0} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{0} \) \\
\hline
\end{tabular}
Subject: Maths
The following data give the amount of loans (in crores of rupees)disbursed by
a bank during some years:
Year \( \begin{array}{lll}1992 & 1993 & 1994\end{array} \)
Loan (in
crores of 28
33
55
rupees
With the help of the bar graph, indicate the year in which amount of loan is not
increased over that of the preceding
year.
Subject: Physics
The number of particles crossing unit area perpendicular to X-axis in unit time is given by \( \frac{D\left(n_{2}-n_{1}\right)}{\left(x_{2}-x_{1}\right)} \) where
\( n_{1} \) and \( n_{2} \) are number of particle per
unit volume respectively at and \( x_{2} \) The dimension of the diffusion constant \( D \)
are
\( \mathbf{A} \cdot\left[L T^{-1}\right] \)
в. \( \left[L^{2} T^{-1}\right] \)
c. [LT]
D. \( \left[L^{-1} T\right] \)
Subject: Biology
The main waste products of plants are
\( A \cdot C O_{2} \) and \( N O_{2} \)
B. \( \mathrm{cO}_{2} \) and water vapour.
\( \mathrm{c} \cdot \mathrm{co}_{2}, \mathrm{O}_{2} \) and water vapour
D. None of the above
Subject: Chemistry
\( \boldsymbol{E}_{\boldsymbol{n}}=-\frac{\mathbf{3 1 3 . 6}}{\boldsymbol{n}^{2}}, \) if the value of \( \boldsymbol{E}_{\boldsymbol{n}}= \)
-34.84 to which value 'n' corresponds:
\( A \cdot 4 \)
B. 3
\( c \cdot 2 \)
\( D \)
Subject: Maths
ABC is a triangle and \( A D \) is median. If \( E \) is any point on \( A D, \) then
\( \mathbf{A} \cdot A r(A B E)=A r(A C E) \)
В. \( B E=C E \)
c. \( A B+B E=A C+C E \)
D. \( A E=\frac{B E+C E}{2} \)
Subject: Maths
What is the difference in the greatest and the least fractions out of \( \frac{6}{7}, \frac{7}{8}, \frac{8}{9} \) and \( \frac{\mathbf{9}}{\mathbf{1 0}} \) ?
\( A \cdot \frac{3}{70} \)
в. \( \frac{1}{56} \)
c. \( \frac{1}{40} \)
D. \( \frac{1}{72} \)
Subject: Physics
A particle executes \( S H M \) of period
\( 1.2 \mathrm{sec} \) and amplitude \( 8 \mathrm{cm} . \) Find the
time it takes to travel \( 3 \mathrm{cm} \) from the
positive extremity or its oscillation.
\( \left[\cos ^{-1}(5 / 8)=0.9 r a d\right] \)
A. 0.28 sec
B. 0.32 sec
c. 0.17 sec
D. 0.42 sec
Subject: Physics
A proton moves with a speed of \( 5.0 \times \) \( 10^{6} \mathrm{m} / \mathrm{s} \) along the \( \mathrm{x} \) -axis. It enters a
region where there is a magnetic field of magnitude \( 2.0 . \) Tesla directed at an
angle of \( 30^{\circ} \) to the \( x \) -axis and lying in the xy-plane. The magnitude of the magnetic force on the proton is?
A. \( 0.8 \times 10^{-13} \mathrm{N} \)
В. \( 1.6 \times 10^{-13} \mathrm{N} \)
c. \( 8.0 \times 10^{-13} \mathrm{N} \)
D. \( 8.01 \times 10^{-13} \mathrm{N} \)
E \( .16 \times 10^{-13} \mathrm{N} \)
Subject: Physics
The magnetic moment \( (\mu) \) of a revolving electron around the nucleus varies with
principal quantum number \( n \) as :
A. \( \mu \propto 1 / n \)
В \( \cdot \mu \propto 1 / n^{2} \)
c. \( \mu \propto n \)
D. \( \mu \propto n^{2} \)
Subject: Physics
A cube of side a carries a charge \( q \) each at the corners of a cube.Then the
potential at the centre of cube is then
going to be
A \( \cdot \frac{8 q}{\pi \varepsilon_{0} a} \)
в. \( \frac{4 q}{4 \pi \varepsilon_{0} a} \)
c. \( \frac{4 q}{\sqrt{3} \pi \varepsilon_{0} a} \)
D. \( \frac{2 q}{\pi \varepsilon_{0} a} \)
Subject: Physics
Maxwell's modified form of Ampere's circuital law is
A \( \cdot \oint_{s} \vec{B} \cdot \overrightarrow{d s}=0 \)
в. \( \oint_{s} \vec{B} \cdot \vec{d} l=\mu_{0} I \)
c. \( \oint_{s} \vec{B} \cdot \overrightarrow{d l}=\mu_{0} I+\frac{I}{\varepsilon_{o}} \frac{d q}{d t} \)
D \( \cdot \oint_{s} \vec{B} \cdot \vec{d} \vec{l}=\mu_{0} I+\mu_{0} \varepsilon_{o} \frac{d \phi_{E}}{d t} \)
Subject: Maths
If \( d \) is the \( H C F \) of 45 and \( 27, \) then \( x, y \)
satisfying \( \boldsymbol{d}=\mathbf{2 7} \boldsymbol{x}+\mathbf{4 5} \boldsymbol{y} \) are :
A \( . x=2, y=1 \)
в. \( x=2, y=-1 \)
c. \( x=-1, y=2 \)
D. \( x=-1, y=-2 \)
Subject: Physics
The correct relation between the
impedance of secondary coil with that of primary coil is
\( \mathbf{A} \cdot Z_{S}=Z_{P} \)
в. \( Z_{S}=Z_{P} \frac{N_{S}}{N_{P}} \)
\( ^{\mathrm{c}} Z_{S}=Z_{P}\left(\frac{N_{S}}{N_{P}}\right)^{2} \)
D. \( _{Z_{S}}=Z_{P}\left(\frac{N_{P}}{N_{S}}\right)^{2} \)
Subject: Physics
Two projectiles are thrown at angles \( \Theta \)
and \( \left(90^{\circ} \Theta\right) \) with same speed. The ratio
of their horizontal ranges are
\( A \cdot 1: 1 \)
B. \( 1: \tan \theta \)
\( c \cdot \tan \theta: 1 \)
\( \mathbf{D} \cdot \tan ^{2} \Theta: 1 \)
Subject: Physics
The circuit below shows three identical
resistors labeled \( 1,2, \) and \( 3 . \) The reading on the ammeter is 12.0 A. How much
current flows in each resistors?
A. 4.0 A
в. 12.0 А
c. 36.0 А
D. we cannot determine the current values without knowing the resistor va
E. we cannot determine the current values without knowing the batter
Subject: Chemistry
Which one of the following reactions will
occur on heating \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} ? \)
A \( \cdot 2 A g N O_{3} \rightarrow 2 A g+N_{2}+3 O_{2} \)
в. \( 2 A g N O_{3} \rightarrow A g_{2} O+N_{2} O_{3}+O_{2} \)
\( \mathrm{c} \cdot 2 \mathrm{AgNO}_{3} \rightarrow 2 \mathrm{AgNO}_{2}+\mathrm{O}_{2} \)
D. \( 2 A g N O_{3} \rightarrow 2 A g+2 N O_{2}+O_{2} \)
Subject: Physics
A point object is kept at a distance of
\( 60 \mathrm{cm} \) from the combination of
two identical thin prisms (prism angle =
\( 4^{0} \& \) refractive index \( =1.5 \) ) as shown
in figure. If distance between the two images formed by the combination is \( \frac{x \pi}{3} \mathrm{cm} \) approximately, then \( x \) is:
Subject: Maths
\( \operatorname{Let} \cos ^{-1}\left(4 x^{3}-3 x\right)=a+b \cos ^{-1} x \)
\( x \in\left[-\frac{1}{2}, \frac{1}{2}\right], \) then the principal value of \( \sin ^{-1}\left(\sin \frac{a}{b}\right) \) is
\( A \cdot-\frac{\pi}{3} \)
в.
\( c \cdot-\frac{\pi}{6} \)
D. None of these
Subject: Physics
A charge 3 coulomb experiences a force \( 3000 N \) when placed in a uniform electric field. The potential difference between two points seperated by a
distance of \( 1 \mathrm{cm} \) along the field lines is :
A. \( 10 V \)
в. \( 90 V \)
c. \( 1000 V \)
D. \( 9000 V \)
Subject: Chemistry
toppr
Q Type your question
acid such as conc. \( H_{2} S O_{4} \) as a catalyst.
The reaction is reversible and generally
the equilibrium constant for
the esterification is close to \( 1 . \) As it is a
reversible reaction, different methods
are used to increase the yield of ester. It is established that the mechanism of
esterification under such conditions
involves initial protonation of the acid
followed by the attack of the alcohol as
a nucleophile.
The correct statement(s)
is/are
This question has multiple correct options
A. When esterification is carried out using molar ratio of acid and alcohol as 1: 10 , the yield of the ester with respect to the acid should be close to \( 90 \% \)
B. The function of conc.\( H_{2} S O_{4} \) is also to increase the free energy change of the reaction and thereby increasing the equilibrium constant
C. When an ester is heated with acidified water the protonation will be more favourable at the acyl oxygen atom than at the alkoxy oxygen atom
D. When butyl hexanoate is heated with a large excess of methanol in the presence of a small quantity of conc. \( H_{2} S O_{4} \), methyl hexanoate is the major product
Subject: Physics
A disc is rolling without slipping with
angular velocity \( \omega . P \) and \( Q \) are two
points equidistant from the centre \( C \)
The order of magnitude of velocity is:
\( \mathbf{A} \cdot V_{Q}>V_{C}>V_{P} \)
в. \( V_{P}>V_{C}>V_{Q} \)
\( \mathbf{c} \cdot V_{Q}=V_{P}, V_{C}=V_{P} / 2 \)
\( \mathbf{D} \cdot V_{P}<V_{C}>V_{Q} \)
Subject: Maths
f \( \alpha, \beta \) and \( \gamma \) are the angles which a half ray makes with the positive direction of the axes, then \( \sin ^{2} \alpha+\sin ^{2} \beta+\sin ^{2} \gamma \) is
equal to
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 0 \)
D. -
Subject: Physics
Assertion
Two bodies of unequal masses \( m_{1} \) and
\( \boldsymbol{m}_{2} \) are dropped from the same height. If the resistance force offered by air to the motion of both bodies is the same, the bodies will reach the earth at the same
time.
Reason
For equal air resistance, acceleration of
fall of masses \( m_{1} \) and \( m_{2} \) will be
different.
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 is incorrect but Reason is correct
Subject: Maths
If the position vectors of the points \( \boldsymbol{A}(\mathbf{3}, \mathbf{4}), \boldsymbol{B}(\mathbf{5},-\mathbf{6}) \) and \( \boldsymbol{C}(\mathbf{4},-\mathbf{1}) \) are
\( \vec{a}, \vec{b}, \vec{c} \) respectively, compute \( \vec{a}+2 \vec{b}- \)
\( \mathbf{3} \overrightarrow{\boldsymbol{c}} \)
B. \( \hat{i}-5 \hat{j} \)
c. \( \hat{i}+5 \hat{j} \)
D. none of these
Subject: Chemistry
Assertion
In aqueous solution, \( S O_{2} \) reacts with
\( H_{2} S \) forming sulphur.
Reason
SO is an effective reducing agent.
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
Assertion
If the potential difference applied to an electron is made 4 times, the de Broglie wavelength associate halved.
Reason
On making a potential difference 4 times, velocity is doubled and hence \( \lambda \) is halved.

Read the above assertion and reason
and choose the correct option regarding
¡t.
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
An electron in a hydrogen atom in its ground state absorbs energy equal to the ionization energy of \( L i^{+2} . \) The wavelength of the emitted electron is:
A. \( 3.32 \times 10^{-10} \mathrm{m} \)
в. 1.17 А
c. \( 2.32 \times 10^{-9} \mathrm{nm} \)
D. 3.33 pm
Subject: Chemistry
Structure containing a ketone group is:
A \( \cdot C H_{3}-C H_{2}-C H_{3} \)
в. \( C H_{3}-C-O H \)
॥
О
c. \( C H_{3}-O-C_{3} H_{7} \)
D. \( C H_{3}-C-C H_{3} \)
I
O
E \( \cdot C H_{3}-C H_{2}-N H_{2} \)
Subject: Maths
If \( \overline{O A}=i+j+k, \overline{A B}=3 i-2 j+ \)
\( k, \overline{B C}=i+2 j-2 k \) and \( \overline{C D}=2 i+ \)
\( j+3 k \) then find the vector \( \overline{O D} \)
A. \( 7 i-2 j-6 k \)
B. \( 7 i+2 j+3 k \)
c. \( 7 i+2 j+5 k \)
D. None of these
Subject: Physics
A stone thrown down with a speed \( u \)
takes a time \( t_{1} \) to reach the ground, while another stone, thrown upwards from the same point with the same
speed, takes time \( t_{2} \). The maximum
height of the second stone reaches from
the ground is :
A \( \cdot 1 / 2160 ; g t_{1} t_{2} \)
B . \( g \) 8 \( \left(t_{1}+t_{2}\right)^{2} \)
c. \( g \) 8 \( \left(t_{1}-t_{2}\right)^{2} \)
D. \( 1 / 2 g t_{2}^{2} \)
Subject: Physics
A long solenoid with 10 turns per \( \mathrm{cm} \)
has a small loop of area \( 3 \mathrm{Cm}^{2} \) placed inside, normal to the axis of the solenoid. If the current carried by the
solenoid changes steadily form \( 2 A \) to \( 4 A \) in \( 0.2 s, \) what is the induced voltage
in the loop, while the currect is changing?
A \( \cdot 4.2 \times 10^{-8} \)
B. \( 2.8 \times 10^{-8} \)
C \( .7 .3 \times 10^{-6} \)
D. \( 3.8 \times 10^{-6} \)
Subject: Physics
Assertion
In an adiabatic process change in internal energy of a gas in equal to work done on or by the gas in the process.
Reason
Temperature of gas remains constant in
an adiabatic process.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
Boiling point of water at normal atmospheric pressure is
\( \mathbf{A} \cdot 0^{\circ} C \)
B. \( 100^{\circ} \mathrm{C} \)
c. \( 110^{\circ} \mathrm{C} \)
D. \( -4^{\circ} \mathrm{C} \)
Subject: Chemistry
Arrange the following in the increasing order of their basic strength in aqueous solution:
\( \boldsymbol{C H}_{3} \boldsymbol{N} \boldsymbol{H}_{2},\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N},\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H} \)