AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
When 2 moles of \( C_{2} H_{6} \) are completely
burnt, \( 3120 k J \) of heat is liberated.
Calculate the heat of formation \( \Delta \boldsymbol{H}_{f}^{o} \)
for \( \boldsymbol{C}_{2} \boldsymbol{H}_{\mathbf{6}} \)
Given: \( \Delta H_{f}^{o} \) for \( C O_{2}(g) \) and \( H_{2} O(l) \) are
-395 and \( -286 k J \) respectively.
A . \( -88 k J / m o l \)
в. \( +88 k J / m o l \)
c. \( -58 k J / m o l \)
D. None of the above
Subject: Maths
If the equation \( \frac{\lambda(x+1)^{2}}{3}+ \) \( \frac{(y+2)^{2}}{4}=1 \) represents a circle then
\( \lambda= \)
\( \mathbf{A} \cdot \mathbf{1} \)
в. \( \frac{3}{4} \)
c. 0
D. \( -\frac{3}{4} \)
Subject: Chemistry
Assertion
Receptors are crucial to boy's
communication process.
Reason
Receptors are proteins.
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
Which of the following statements are
possible; \( a, b, m \) and \( n \) being non-zero
real numbers?
A \( \cdot 4 \sin ^{2} \theta=5 \)
B \( \cdot\left(a^{2}+b^{2}\right) \cos \theta=2 a \)
C. \( \left(m^{2}+n^{2}\right) \csc \theta=m^{2}-n^{2} \)
D. \( \sin \theta=2.375 \)
Subject: Physics
A wave travels out in all directions from
a point source. Justify the expression \( \boldsymbol{y}=\left(\boldsymbol{a}_{0} / \boldsymbol{r}\right) \sin \boldsymbol{k}(\boldsymbol{r}-\boldsymbol{v} \boldsymbol{t}), \) at a distance
from the source. Find the speed,
periodicity and intensity of the wave.
Subject: Physics
In fig., a cone lies in a uniform electric
field E. Determine the electric flux
entering the cone
A. Flux \( \phi=E A=2 E R h \)
B. Flux \( \phi=E A=7 E R h \)
c. Flux \( \phi=E A=9 E R h \)
D. Flux \( \phi=E A=E R h \)
Subject: Physics
A parallel plate capacitor of capacitance C consists of two identical plates \( A \) and \( B \). A charge \( q \) is given to plate \( A \) and charge \( -2 q \) is given to plate
B. The space between plates is vacuum. The separation between plates is d. The electric intensity at a point situated between plates is?
A \( \cdot \frac{q}{C d} \)
в. \( \frac{q}{2 C d} \)
c. \( \frac{3 q}{2 C d} \)
D. None of these
Subject: Maths
Find \( a \) and \( b, \) where \( a \) and \( b \) are real
numbers so that \( a+i b=(2-i)^{2} \)
A \( . a=3, b=-4 \)
В. \( a=-3, b=-4 \)
c. \( a=3, b=4 \)
D. \( a=-3, b=4 \)
Subject: Physics
A field of strength \( \frac{\mathbf{5} \times \mathbf{1 0}^{\mathbf{4}}}{\boldsymbol{\pi}} \) ampere
turns /meter acts at right angles to a coil of 50 turns of area \( 10^{-2} m^{2} . \) The coil
is removed from the field in 0.1 second.
Then, the induced e.m.f in the coil is:
A . \( 0.1 \mathrm{v} \)
B. 0.2 \( v \)
c. \( 1.96 v \)
D. 0.98
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\boldsymbol{3}(\boldsymbol{a}-\boldsymbol{7}) \boldsymbol{x}^{2}+ \)
\( 3\left(a^{2}-9\right) x-2 \) where \( a>0, \) has \( + \) ive
point of maximum then a varies over an interval of length
\( A \cdot \frac{8}{7} \)
B. \( \frac{6}{7} \)
\( c \cdot \frac{4}{7} \)
D.
Subject: Maths
The differential equation of all
parabolas with axis parallel to the axis
of \( \boldsymbol{y} \) is:
A \( \cdot y_{2}=2 y_{1} \)
в. \( y_{3}=2 y_{1} \)
c. \( y_{2}^{3}=y_{1} \)
D. none of these
Subject: Maths
Factorise: \( (\boldsymbol{a}+\mathbf{2 b}-\mathbf{3 c})^{\mathbf{3}}-\boldsymbol{a}^{\mathbf{3}}-\mathbf{8 b}^{\mathbf{3}}+ \)
\( \mathbf{2 7 c}^{\mathbf{3}} \)
Subject: Maths
The sum of the series
\( 2\left[7^{-1}+3^{1} .7^{-1}+5^{1} .7^{-1}+\ldots\right] \) upto 20
twenty terms is
A. \( \frac{800}{7} \)
B. \( \frac{580}{7} \)
c. \( \frac{780}{9} \)
D. \( \frac{680}{7} \)
Subject: Maths
\( \left(-\frac{1}{2}+\frac{\sqrt{3}}{2} i\right)^{1000} \) is equal to
\( \frac{1-\sqrt{3} i}{2} \)
B. \( \frac{1+\sqrt{3} i}{2} \)
c. \( \frac{-1+\sqrt{3} i}{2} \)
D. \( \frac{-1-\sqrt{3} i}{2} \)
Subject: Physics
The total magnification produced by a compound microscope is \( 20 . \) The magnification produced by the eye piece along is \( 5 . \) The microscope is focused on a certain object. The distance between the objective and
eyepiece is observed to be \( 14 \mathrm{cm} . \) Then the focal lengths of the objective and eyepiece are respectively, if final image formed at near point \( (D=20 \mathrm{cm}) \)
A. \( 2 \mathrm{cm}, 5 \mathrm{cm} \)
B. \( 5 \mathrm{cm}, 10 \mathrm{cm} \)
\( \mathrm{c} \cdot 3 \mathrm{cm}, 9 \mathrm{cm} \)
D. \( 4 \mathrm{cm}, 12 \mathrm{cm} \)
Subject: Physics
A train approaching a railway crossing at a speed of \( 180 k m h^{-1} \) sounds a short
whistle at a frequency \( 600 H z \), when it
is \( 400 m \) away from the crossing. The
speed of sound in air is \( 340 m s^{-1} \). The
frequency of the sound heard by a person standing on a road perpendicular to the track at a distance of \( 300 m \) from the crossing is:
\( \mathbf{A} \cdot 680 H z \)
в. \( 480 H z \)
\( c \cdot 40 H z \)
D. \( 50 H z \)
Subject: Maths
The perimeter of a rhombus is \( 40 \mathrm{cm} \)
and the measure of an angle is \( 60^{\circ} \)
then the area of it is -
B \( \cdot 75 \sqrt{3} \mathrm{cm}^{2} \)
D. \( 50 \sqrt{3} \mathrm{cm}^{2} \)
Subject: Maths
Let \( \boldsymbol{f} \) be an injective map with domain \( \{x, y, z\} \) and range \{1,2,3\} such that exactly one of the following statements is correct and the remaining are false:
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{1}, \boldsymbol{f}(\boldsymbol{y}) \sqrt{\mathbf{1}}, \boldsymbol{f}(z) \sqrt{\mathbf{2}} . \) The value of
\( \boldsymbol{f}^{-1}(1) \) is
\( A \)
B.
\( c \cdot z \)
D. none of these
Subject: Chemistry
Which of the following electronic configuration is associated with the highest stable oxidation state?
\( \mathbf{A} \cdot[A r] 3 d^{1} 4 s^{2} \)
B \cdot \( [A r] 3 d^{5} 4 s^{1} \)
\( \mathbf{c} \cdot[A r] 3 d^{5} 4 s^{2} \)
D \cdot \( [A r] 3 d^{6} 4 s^{2} \)
Subject: Physics
Assertion
If the magnitude of displacement is zero, then it is not a vector quantity.
Reason

A vector have both magnitude and direction.
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: Physics
Assertion
The maximum stress value below which
the strain is fully recoverable is called the elastic limit.
Reason
All materials are elastic to some extent
but the degree varies.
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
The molar solubility of \( P b B r_{2} \) is \( 2.17 \times \)
\( 10^{-3} \mathrm{M} \) at a certain temperature
Calculate \( \boldsymbol{K}_{\boldsymbol{s p}} \) for \( \boldsymbol{P b B r}_{2} \)
A \( .6 .2 \times 10^{-6} \)
B . \( 6.4 \times 10^{-7} \)
c. \( 4.1 \times 10^{-8} \)
D. \( 3.4 \times 10^{-6} \)
E . \( 1.4 \times 10^{-5} \)
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}\} \)
\( \boldsymbol{S}=\{(\boldsymbol{a}, \boldsymbol{b}) ; \boldsymbol{a}, \boldsymbol{b} \in \boldsymbol{A}, \boldsymbol{a} \text { divides } \boldsymbol{b}\}, \) write
down \( S \) explicitly
Subject: Biology
The given figure shows a diagrammatic
sketch of a portion of human male
reproductive system. Identify the parts labelled as \( A, B, C \) and
D and select the correct option.
A. A-vas deferens, B-seminal vesicle, C-Prostate, DBulbourethral gland
B. A-Vas deferens, B-Seminal vesicle, C-Bulbourethral gland, D-Prostate
c. A-Ureter, B-Seminal vesicle, C-Prostate, DBulbourethral gland
D. A-Ureter, B-Prostate, C-Seminal vesicle, DBulbourethral gland
Subject: Chemistry
Which step is the chain propagation step in the following mechanism?
\[
\begin{array}{ll}
\text { 1. } \mathrm{Cl}_{2} \stackrel{\mathrm{hv}}{\longrightarrow} \mathrm{Cl}^{*}+\mathrm{Cl}^{\prime} & 2 . \mathrm{Cl}^{*}+\mathrm{CH}_{4} \longrightarrow \mathrm{CH}_{3}^{\circ}+\mathrm{HCl} \\
\text { 3. } \mathrm{Cl}^{*}+\mathrm{Cl}^{*} \longrightarrow \mathrm{Cl}_{2} & \text { 4. } \mathrm{CH}_{3}+\mathrm{Cl}^{*} \longrightarrow \mathrm{CH}_{3} \mathrm{Cl}
\end{array}
\]
\( A \). (i)
B. (ii)
c. (iii)
D. (iv)
Subject: Physics
A current i, indicated by the crosses in
figure, is established in a strip of
copper of height \( h \) and width \( w . A \)
uniform field of magnetic induction B is
applied at right angle to the strip.

Calculate voltage V necessary between
two sides of the conductor in order to
create this field E. Between which sides
of the conductor would this voltage have
to be applied?
A \( \cdot 5 \times 10^{-6} \) Top and Bottom, with top +ve charge and
bottom -ve charge
B. \( 5 \times 10^{-6} \) Top and Bottom, with top -ve charge and
bottom +ve charge
\( \mathbf{c} \cdot 5 \times 10^{-6} \) Any
D. None of the above
Subject: Biology
Assertion
Fermentation is the incomplete oxidation of glucose into lactic acid or ethanol
Reason
It takes place under anaerobic condition in prokaryotes only.
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
f \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{0}\end{array}\right], \boldsymbol{A}^{2}=\boldsymbol{I} \) then find ' \( \boldsymbol{x}^{\prime} \)
Subject: Physics
A ratio station transmists musical
programme at \( 220 \mathrm{m} \) wavelength and \( 1200 \mathrm{Hz} \) frequency. Calculate the velocity of radio waves.
A. \( 346 \mathrm{km} / \mathrm{sec} \)
B. 264 km/sec
c. \( 442 \mathrm{km} / \mathrm{sec} \)
D. \( 468 \mathrm{km} / \mathrm{sec} \)
Subject: Maths
\( f f=\{(4,5),(5,6),(6,-4) \text { and } g=\{(4,-4) \)
(6,5),(8,5)\} then find
\( \boldsymbol{A}) \boldsymbol{f}+\boldsymbol{g} \quad \boldsymbol{B}) \boldsymbol{f}-\boldsymbol{g} \)
\( \boldsymbol{C}) \mathbf{2} \boldsymbol{f}+ \)
\( \begin{array}{ll}\mathbf{4} \boldsymbol{g} & \boldsymbol{D}) \boldsymbol{f}+\end{array} \)
\( \begin{array}{lll}\boldsymbol{4} & \boldsymbol{E}) \boldsymbol{f} \boldsymbol{g} & \boldsymbol{F}) \boldsymbol{f} / \boldsymbol{g}\end{array} \)
\( \boldsymbol{G})|\boldsymbol{f}| \quad \boldsymbol{H}) \sqrt{\boldsymbol{f}} \quad \boldsymbol{I}) \boldsymbol{f}^{2} \)
Subject: Physics
Solar radiation emitted by sun
resembles that emitted by a black body
at a temperature of \( 6000 K . \) Maximum
intensity is emitted at a wavelength of about \( 4800 A \). If the sun was
cooled down from \( 6000 K \) to \( 3000 K \)
then the peak intensity would occur at a
wavelength of :
A. 4800 A
в. 9600 \( \dot{A} \)
c. 2400 月
D. \( 19200 \dot{A} \)
Subject: Maths
Number of positive continuous functions \( f(x) \) defined in [0,1] for which \( \int_{0}^{1} f(x) d x=1, \int_{0}^{1} x f(x) d x=2 \)
\( \int_{0}^{1} x^{2} f(x) d x=4 \)
\( A \)
B. 4
c. Infinite
D. None of these
Subject: Maths
Let \( A, B, C \) be unit vectors. Suppose
\( A \cdot B=A \cdot C=0 \) and the angle between \( B \) and \( C \) is \( \frac{\pi}{6} . \) Then \( A \) equals
\( \mathbf{A} \cdot \pm 2(B \times C) \)
B . \( -2(B \times C) \)
\( \mathbf{c} \cdot 2(B \times C) \)
D. \( (B \times C) \)
Subject: Physics
If a wire of resistance \( 20 \Omega \) is covered
with ice and a voltage of \( 210 \mathrm{V} \) is applied across the wire, then the rate of melting of ice is
A. \( 8.85 g s^{-1} \)
В . \( 1.92 g s^{-1} \)
c. \( 6.56 g s^{-1} \)
D. none
Subject: Physics
Three infinitely charged sheets are kept parallel to \( x-y \) plane having charge
densities as shown. Then the value of
electric field at \( ^{\prime} \boldsymbol{P}^{\prime} \) is:
A \( \frac{-4 \sigma}{\epsilon_{0}} \)
в. \( \frac{4 \sigma}{\epsilon_{0}} \)
c. \( \frac{-2 \sigma}{\epsilon_{0}} \)
\( D \cdot \frac{2 \sigma}{\epsilon_{0}} \)
Subject: Biology
Match List-I with List-II and select the
correct answer using the code given
below the Lists:
List-II İ List-I
(Region) (Characteristic vegetation)
A. Selvas Tropophytes
B.
2. Mosses and lichens :
Savanna
C. Tundra 3. Epiphytes \( \pi_{n} n_{r_{a}} \) 3.
\( D \)
Monsoon
land Grasses and trees
A. A-3, B-2, C-4, D-1
B. A-1, B-4, C-2, D-3
C. A-1, B-2, C-4, D-3
D. \( A-3, B-4, C-2, D-1 \)
Subject: Physics
A wooden block of mass \( 10 g \) is dropped from the top of a tower 100 m high. Simultaneously, a bullet of mass \( 10 g \) is fired from the foot of the tower
vertically upwards with a velocity of \( 100 m s^{-1} . \) If the bullet is embedded in
it, how high will it rise above the tower before it starts falling?(Consider \( \boldsymbol{g}= \)
\( \left.10 m s^{-2}\right) \)
\( A \cdot 80 m \)
B. 85
\( c \cdot 75 m \)
D. 10
Subject: Physics
If three different liquid of different
masses specific heats and temperature are mixed with each other then what is
the temperature of the mixture at
thermal equilibrium. If, \( m_{1}, s_{1}, T_{1} \rightarrow \) specification for liquid
\( \boldsymbol{m}_{2}, \boldsymbol{s}_{2}, \boldsymbol{T}_{2} \rightarrow \) specification for liquid
\( \boldsymbol{m}_{3}, \boldsymbol{s}_{3}, \boldsymbol{T}_{3} \rightarrow \) specification for liquid
A \( \cdot \frac{m_{1} T_{1}+m_{2} T_{2}+m_{3} T_{3}}{m_{1} s_{1}+m_{2} s_{2}+m_{3} s_{3}} \)
В \( \cdot\left(m_{1} s_{1} T_{1}+m_{2} s_{2} T_{2}+m_{3} s_{3} T_{3}\right) \)
c. \( \frac{m_{1} s_{1} T_{1}+m_{2} s_{2} T_{2}+m_{3} s_{3} T_{3}}{m_{1} s_{1}+m_{2} s_{2}+m_{3} s_{3}} \)
D. \( \frac{s_{1} T_{1}+s_{2} T_{2}+s_{3} T_{3}}{m_{1} s_{1}+m_{2} s_{2}+m_{3} s_{3}} \)
Subject: Physics
The equation of the progressive wave is \( \boldsymbol{Y}=\mathbf{3} \sin \left[\boldsymbol{\pi}\left(\frac{\boldsymbol{t}}{\mathbf{3}}-\frac{\boldsymbol{x}}{\mathbf{5}}\right)+\frac{\boldsymbol{\pi}}{\boldsymbol{4}}\right] \) where \( \boldsymbol{x} \)
and \( Y \) are in metre and time in second.
Which of the following is correct?
A. Velocity \( V=1.5 \mathrm{m} / \mathrm{s} \)
B. Amplitude \( A=3 \mathrm{cm} \)
c. Frequency \( F=0.2 \mathrm{Hz} \)
D. Wavelength \( \lambda=10 m \)
Subject: Physics
A bar magnet of magnetic moment 3.0
\( A-m^{2} \) is free to rotate about a vertical
axis passing through its centre. The magnet is released from rest from east west position. Then the kinetic energy of the magnet as it takes North- South position is :
(horizontal component of earths magnetic field is \( 25 \mu \mathrm{T}) \)
B. 75 \( \mu \) J
c. \( 100 \mu \) J
D. 12.5 \( \mu \) )
Subject: Chemistry
An organic compound gave \( \boldsymbol{C}= \) \( 92.31 \% \) and \( H=7.69 \% . \) If molecular
weight of the compound is \( 78, \) its molecular formula is:
\( \mathbf{A} \cdot C_{6} H_{6} \)
в. \( C_{7} H_{7} \)
\( \mathbf{c} \cdot C_{6} H_{18} \)
D. \( C_{8} H_{20} \)
Subject: Physics
Match the following
\( \begin{array}{llll} & \text { List I } & & \text { List II } \\ & & & \\ \begin{array}{l}\text { Streamlined body } \\ \text { structure }\end{array} & \text { a } & \begin{array}{l}\text { Less no. of } \\ \text { irregularities }\end{array} \\ \text { 2 } & \begin{array}{l}\text { objects harder } \\ \text { againsteach } \\ \text { other }\end{array} & \text { b } & \text { Lubricant } \\ \text { 3 } & \text { Grease } & \text { c } & \begin{array}{l}\text { Increase } \\ \text { friction }\end{array} \\ \text { 4 } & \text { Smooth surface } & \text { d } & \begin{array}{l}\text { Decrease } \\ \text { friction }\end{array}\end{array} \)
A . \( 1-d, 2-c, 3-b, 4-a \)
\( , 4-b \)
B. \( 1-d, 2-c, 3-a \)
c. \( 1- \) a, \( 2-d, 3-b, 4-c \)
D. 1-a, 2-b, 3-c, 4-d
Subject: Chemistry
The oxidation potential of a hydrogen
electrode at \( p H=10 \) and \( P_{H_{2}}=1 \) atm
is:
A . \( -0.59 V \)
в. \( 0.00 V \)
\( \mathrm{c} \ldots+0.59 \mathrm{V} \)
D. \( +0.118 V \)
Subject: Biology
Assertion
In the dicot root, the vascular cambium
İs secondary in origin.
Reason
Secondary growth occurs in stems and
roots of gymnosperms also.
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
The temperature of liquid hydrogen is
20 \( K \).What is this temperature on the Fahrenheit scale?
A \( \cdot 495.4^{\circ} \mathrm{F} \)
B. \( -423.4^{\circ} \mathrm{F} \)
c. \( -108.56^{\circ} \mathrm{F} \)
D . \( -487.4^{\circ} \mathrm{F} \)
Subject: Maths
What is the area of a regular hexagon with sides of 2.5 in and apothem is 12 in?
\( \mathbf{A} \cdot 89 \) in \( ^{2} \)
B. 14.5 in \( ^{2} \)
c. 80 in \( ^{2} \)
D. 90 in \( ^{2} \)
Subject: Maths
Find the vector equation of line joining the points (2,1,3) and (-4,3,-1)
\( \mathbf{A} \cdot \bar{r}=2(1-3 \lambda) \bar{i}-(1+2 \lambda) \bar{j}-(3-4 \lambda) \bar{k} \)
B . \( \bar{r}=2(1-3 \lambda) \bar{i}-(1+2 \lambda) \bar{j}+(3-4 \lambda) \bar{k} \)
C \( . \bar{r}=2(1-3 \lambda) \bar{i}+(1+2 \lambda) \bar{j}+(3-4 \lambda) \bar{k} \)
D. \( \bar{r}=2(1+3 \lambda) \bar{i}+(1+2 \lambda) \bar{j}+(3+4 \lambda) \bar{k} \)
Subject: Chemistry
The osmotic pressure of urea solution
at \( 10^{\circ} \mathrm{C} \) is \( 200 \mathrm{mm} \) becomes \( 105.3 \mathrm{mm} \)
when it is diluted and the temperature
raised to \( 25^{\circ} \mathrm{C} \). The extent of dilution is:
A. 8 times
B. 5 times
c. 4 times
D. 2 times
Subject: Biology
The correct sequence in the evolution of
modern man is
A. Dryopithecus \( \rightarrow \) Australopithecus \( \rightarrow \) Homo habilis \( \rightarrow \) Homo erectus \( \rightarrow \) Homo sapiens
B. Australopithecus \( \rightarrow \) Dryopithecus \( \rightarrow \) Homo habilis \( \rightarrow \) Homo erectus \( \rightarrow \) Homo sapiens
C. Homo habilis \( \rightarrow \) Dryopithecus \( \rightarrow \) Australopithecus \( \rightarrow \) Homo erectus \( \rightarrow \) Homo sapiens
D. Austratopithecus \( \rightarrow \) Homoerectus \( \rightarrow \) Neanderthal man \( \rightarrow \) cro-magnon man \( \rightarrow \) modern man
Subject: Physics
Copper and Carbon wires are connected in series and the combined resistor is
kept at \( 0^{\circ} \mathrm{C} \). Assuming the combined resistance does not vary with
temperature, the ratio of the resistances of Carbon and Copper wires
at \( 0^{\circ} C \) is:
(Temperature coefficients of resistivity of Copper and Carbon respectively are \( \left.4 \times 10^{-3} /^{\circ} C \text { and }-0.5 \times 10^{-3} /^{\circ} C\right) \)
\( A \)
в. 6
\( c \cdot 2 \)
\( D \)
Subject: Chemistry
\( H_{2} O_{2} \) is obtained by the action of dilute
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) on:
\( \mathbf{A} \cdot M n O_{2} \)
в. \( P b O_{2} \)
\( \mathrm{c} \cdot B a O_{2} \)
D. \( S n O_{2} \)
Subject: Maths
Prove that \( y=a e^{-2 x}+b e^{x} \) is the
solution of differential equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+ \)
\( \frac{d y}{d x}-2 y=0 \)
Subject: Chemistry
The strength of H-bonding order is:
\( \mathbf{A} \cdot H_{2} O>H_{2} O_{2}>H-F \)
\( \mathbf{B} \cdot H_{2} O_{2}>H_{2} O>H F \)
\( \mathbf{c} \cdot H F>H_{2} O>H_{2} O_{2} \)
\( \mathbf{D} \cdot H F=H_{2} O=H_{2} O_{2} \)
Subject: Physics
Figure shows a copper rod joined to a steel rod. The rods have equal length and equal cross sectional area.The free
and of the copper rod is kept at \( 0^{\circ} \mathrm{C} \) and
that of the steeel rod is kept at \( 100^{\circ} \mathrm{C} \) Find the temperature at the junction of the rods. Conductivity of copper =
\( 390 W / m^{\circ} C \) and that of steel =
\( 46 W / m^{\circ} C \)
\( 0^{\circ} \mathrm{C}\left[\begin{array}{ll}\text { Copper } & \text { Steel }\end{array}\right. \)
\( \mathbf{A} \cdot 5.3^{\circ} \mathrm{C} \)
B . \( 10.6^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 15.6^{\circ} \mathrm{C} \)
D. None of these
Subject: Physics
The capacitance of a capacitor is \( 10 F \)
The potential difference on it is \( 50 V \). If the distance between its plate is halved, What will be the potential difference
now?
\( \mathbf{A} \cdot 100 V \)
в. \( 50 V \)
\( c .25 V \)
D. \( 75 V \)
Subject: Physics
Q Type your question.
pendulum of length \( R \) attached to its
other end as shown in the figure. The
disc is rotated with a constant angular
velocity \( \omega . \) The string is making an
angle \( 30^{0} \) with the rod. The angular
velocity \( \omega \) of the disc is :
\( ^{\mathrm{A}} \cdot\left(\frac{\sqrt{3} g}{R}\right)^{1 / 2} \)
\( ^{\mathrm{B}}\left(\frac{\sqrt{3} g}{2 R}\right)^{1 / 2} \)
\( \left(\frac{g}{\sqrt{3} R}\right)^{1 / 2} \)
\( \left(\frac{2 g}{3 \sqrt{3} R}\right)^{1 / 2} \)
Subject: Physics
\( 1.00 g \) of \( E u C l_{2} \) is treated with excess
of aqueius \( A g N O_{3} \) and all the chlorine
is recovred as \( 1.29 \mathrm{g} \) of \( A G c L . \) Calculate the atomic weight of \( \boldsymbol{E u}(\boldsymbol{C l}= \) \( \mathbf{3 5 . 5}, \boldsymbol{A} \boldsymbol{g}=\mathbf{1 0 8}) \)
Subject: Physics
A proton is travelling along the \( x \) direction with velocity \( 5 \times 10^{6} m s^{-1} \)
The magnitude of force experienced by
the proton in a magnetic field \( B= \) \( (0.2 \hat{i}+0.4 \hat{k}) \) tesla is
A. \( 3.2 \times 10^{-13} N \)
N
В. \( 5.3 \times 10^{-13} N \)
c. \( 3.2 \times 10^{13} N \)
D. \( 6.3 \times 10^{-13} \) 3
E \( .3 .5 \times 10^{-12} N \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \boldsymbol{c} & -\boldsymbol{b} \\ -\boldsymbol{c} & \boldsymbol{0} & \boldsymbol{a} \\ \boldsymbol{b} & \boldsymbol{-} \boldsymbol{a} & \boldsymbol{0}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{lll}a^{2} & a b & a c \\ b a & b^{2} & b c \\ c a & c b & c^{2}\end{array}\right] \) then \( A B \) is equal to
\( A \)
B.
c. \( 2 I \)
D. none of these
Subject: Chemistry
If the number of moles of adenine in
DNA of E.coli sample is \( 4,65,000, \) the number of moles of guanine present in its DNA is:
\( \left[\text { Given: } \frac{\boldsymbol{A}+\boldsymbol{T}}{\boldsymbol{G}+\boldsymbol{C}}=\mathbf{0 . 9 3}\right] \)
A. 5,00,000
B. 4,65,000
c. 3,65,000
D. 9,30,000
Subject: Maths
The function \( f \) is continuous and has
the property \( f(f(x))=1-x, \) then the
value of \( \boldsymbol{f}\left(\frac{1}{4}\right)+\boldsymbol{f}\left(\frac{3}{4}\right) \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot \frac{-1}{2} \)
D. -1
Subject: Maths
\( A B C D \) is a parallelogram. \( L \) is a point on \( B C \) which divides \( B C \) in the ratio
\( \mathbf{1}: \mathbf{2} . \boldsymbol{A} \boldsymbol{L} \) intersects \( \boldsymbol{B} \boldsymbol{D} \) at \( \boldsymbol{P} . \boldsymbol{M} \) is a
point on \( D C \) which divides \( D C \) in the
ratio 1: 2 and \( A M \) intersects \( B D \) in \( Q \)
Point \( P \) divides \( A L \) in the ratio
A . 1: 2
B. 1: 3
c. 3: 1
D. 2: 1
Subject: Physics
Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them,
deflections of \( 60^{\circ} \) and \( 30^{\circ} \) are produced.
The ratio of the number of turns in \( A \)
and B is
A . 1: 3
B. 3: 1
c. 1: 2
D. 2: 1
Subject: Chemistry
Time taken for an electron to complete one revolution in the Bohr orbit of
hydrogen atom is:
A \( \cdot \frac{4 \pi^{2} m r^{2}}{n h} \)
в. \( \frac{n h}{4 \pi^{2} m r} \)
c. \( \frac{2 \pi m r}{n^{2} h^{2}} \)
D. \( \frac{h}{2 \pi m r} \)
Subject: Maths
What is the sum of G.P. \( 1+p+p^{2}+ \)
\( \boldsymbol{p}^{3}+\boldsymbol{p}^{4}+\boldsymbol{p}^{5} ? \)
\( ^{\mathbf{A}} \cdot_{S_{6}}=\frac{1-p^{6}}{1-p} \)
в. \( s_{5}=\frac{1-p^{5}}{1-p} \)
\( ^{\mathbf{c}} \cdot_{S_{4}}=\frac{1-p^{4}}{1-p} \)
D. \( s_{6}=\frac{1-p^{6}}{1+p} \)