AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
For the equilibrium \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
at 1 atm and \( 298 K \)
A. standard free energy change is equal to zero \( \left(\triangle G^{\circ}=\right. \)
0)
B. free energy change is less than zero ( \( \triangle G<0 \) )
c. standard free energy change is less than zero \( \left(\triangle G^{\circ}<\right. \)
0
D. standard free energy change is greater then zero \( \left(\triangle G^{\circ}>0\right) \)
Subject: Physics
Due to slipping, points \( \$ A \$ \) and \( \$ B \$ \) on
the rim of the disc have the velocities
shown. Distance between centre of disc
and point on disc which is having zero
velocity.
A . \( 0.04 \mathrm{m} \)
B. \( 0.05 \mathrm{m} \)
c. \( 0.06 \mathrm{m} \)
D. None
Subject: Physics
You are given four sources of light each
one providing a light of a single colour
red, blue, green and yellow. Suppose the
angle of refraction for a beam of yellow light corresponding to a particular
angle of incidence at the interface of
two media is \( 90 . \) Which of the following
statements is correct, if the source of
yellow light is replaced with that of
other lights without changing the angle
of incidence?
A. The beam of red light would undergo total internal reflection.
B. The beam of red light would bend towards normal while it gets refracted through the second medium.
C. The beam of blue light would undergo total internal reflection.
D. The beam of green light would bend away from the normal as it gets refracted through the second medium.
Subject: Maths
What is the range of the data:
\( \mathbf{4 8}, \mathbf{6 5}, \mathbf{2 7}, \mathbf{2 3}, \mathbf{4 4}, \mathbf{4 1}, \mathbf{2 5}, \mathbf{7 0}, \mathbf{4 9} ? \)
Subject: Physics
A wire in the form of a circular loop of radius \( 10 \mathrm{cm} \) lies in a plane normal to a
magnetic field of \( 100 T . \) If this wire is pulled to take a square shape in the same plane in \( 0.1 s, \) find the average induced emf in the loop.
\( \mathbf{A} \cdot 8.99 V \)
B. \( 4.33 V \)
c. \( 7.77 V \)
D. \( 6.74 V \)
Subject: Physics
In an experiment, the values of two
resistances were measured as \( \boldsymbol{R}_{1}= \)
\( (5.00 \pm .2) \Omega \) and \( R_{2}=(10.00 \pm .1) \Omega \)
The percentage error in the combined resistance in parallel is :
A \( .(4.46 \%) \)
B. \( (7.00 \%) \)
\( c .(5.55 \%) \)
D. \( (3.35 \%) \)
Subject: Physics
Ge and Si diodes start conducting at 0.3
V and 0.7 V respectively. In the following figure if Ge diode connection are
reversed, the value of \( V_{o} \) changes by :
(assume that the Ge diode has large
breakdown voltage)
A . \( 0.6 v \)
B. 0.8
\( c \cdot 0.4 v \)
\( D, 0.2 \mathrm{v} \)
Subject: Physics
Find the potential gradient along AB
A \( \cdot 0.1 \mathrm{Vcm}^{-1} \)
B. \( 0.03 \mathrm{Vcm}^{-1} \)
c. \( 0.04 \mathrm{Vcm}^{-1} \)
D. \( 0.02 \mathrm{vcm}^{-1} \)
Subject: Physics
Assertion
If the current of a lamp increases by \( 20 \% \), the percentage increase in the illumination of the lamp is \( 40 \% \)
Reason
Illumination of the lamp is directly proportional to the square of the current through the lamp.
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
A particle of mass \( m \) is moving along the X-axis under the potential \( U(x)= \) \( \frac{k x^{2}}{2}+\lambda \) where \( k \) and \( \lambda \) are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency
\( (\omega) \) given by
A \( \cdot_{3} \frac{k}{m} \)
в. \( 3 \frac{m}{k} \)
c. \( \sqrt{\frac{k}{m}} \)
D. \( \sqrt{3 \frac{m}{k}} \)
E \( \cdot \sqrt{3 \frac{k}{m}} \)
Subject: Physics
For the system shown in the figure, the
cylinder on the left at \( L \) has a mass of
\( 600 k g \) and a cross sectional area of
\( 800 \mathrm{cm}^{2} . \) The piston on the right, at \( S \)
has a cross sectional area \( 25 \mathrm{cm}^{2} \) and
negligible weight. If the apparatus is
filled with oil. \( \left(\rho=\mathbf{7} \mathbf{5} g \boldsymbol{m} / \mathbf{c m}^{3}\right) \) Find
the force \( \boldsymbol{F} \) required to hold the system
in equilibrium.
Subject: Physics
The centre of mass of the disk
undergoes simple harmonic motion
with angular frequency \( \omega \) equal to:
\( A \cdot \sqrt{\frac{k}{M}} \)
3. \( \sqrt{\frac{2 k}{M}} \)
c. \( \sqrt{\frac{2 \mathrm{k}}{3 \mathrm{M}}} \)
D
Subject: Chemistry
One gram of charcoal adsorbs \( 400 \mathrm{mL} \) of
\( 0.5 M \) acetic acid to form a monolayer,
and the molarity of acetic acid reduces
to \( 0.49 M . \) Calculate the surface area of
charcoal adsorbed by each molecule of acetic acid, where the surface area of
charcoal is \( 3.01 \times 10^{2} \mathrm{m}^{2} \mathrm{g}^{-1} \)
A. \( 1 \times 10^{-19} \mathrm{m}^{2} \)
В. \( 1.2 \times 10^{-19} \mathrm{m}^{2} \)
D. None of these
Subject: Physics
A student pulls a wooden box along a rough horizontal floor (without the block
loosing contact with the floor) at
constant speed by means of a force \( P \)
as shown, to the right. \( (W \) is weight of
block, \( N \) is normal reaction on the
block, \( f \) is force of friction on the block).
Which of the following must be true?
A \( . P>f \) and \( N<W \)
B. \( P>f \) and \( N=W \)
c. \( P=f \) and \( N>W \)
\( D<f \) and \( N=W \)
Subject: Maths
n given Figure, \( D E \| B C . \) If \( A D= \)
\( \boldsymbol{x}, \boldsymbol{D} \boldsymbol{B}=\boldsymbol{x}-\boldsymbol{2}, \boldsymbol{A} \boldsymbol{E}=\boldsymbol{x}+\boldsymbol{2} \) and \( \boldsymbol{E} \boldsymbol{C}= \)
\( x-1, \) find the value of \( x \)
Subject: Maths
\( \tan i\left[\log _{e}\left(\frac{a-i b}{a+i b}\right)\right] \) is equal to
A \( \cdot \frac{a^{2}-b^{2}}{2 a b} \)
в. \( \frac{2 a b}{a^{2}+b^{2}} \)
\( c \cdot a b \)
D. \( \frac{2 a b}{a^{2}-b^{2}} \)
Subject: Chemistry
Which of the following are isoelectronic and isostructural?
A \( \cdot N O_{3}^{-}, \mathrm{CO}_{3}^{2} \)
B. \( S O_{3}, N O_{3}^{-} \)
\( \mathrm{c} \cdot \mathrm{CO}_{3}^{-}, \mathrm{CO}_{3}^{2} \)
D. \( \mathrm{CO}_{3}^{2-}, \mathrm{SO}_{3} \)
Subject: Physics
Assertion
The smaller the orbit of a planet around
the Sun, the shorter is the time it takes
to complete.
Reason
According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from Sun.
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
In a Helium gas discharge tube every second \( 40 \times 10^{18} H e^{+} \) (ions) move
towards the right through a cross section of the tube, while n electrons
move to the left in the same time. If the
current in the tube is \( 8 A \) towards right
then \( n=? \)
A \( \cdot 10 \times 10^{18} \)
B. 3 \( \times 10^{19} \)
\( c \cdot 3 \times 10^{20} \)
D. 3 \( \times 10^{2} \)
Subject: Chemistry
The bond dissociation energies of \( \boldsymbol{H}- \)
\( \boldsymbol{H}, \boldsymbol{C}-\boldsymbol{C} \) and \( \boldsymbol{C}-\boldsymbol{H} \) bonds
respectively are 104.2,83.1 and 98.8
kcal \( m o l^{-1} . \) The electronegativity of
carbon is:
A . 2.53
B . 2.51
c. 2.57
D. 2.52
Subject: Chemistry
Name the process for ethanol to ethene
conversion and reactants used.
A. hydrogenation of ethanol in the presence of concentrated \( H_{2} S O_{4} \)
B. dehydration of ethanol in the presence of concentrated \( H_{2} S O_{4} \)
C. oxidation of ethanol in the presence of concentrated
\( H_{2} S O_{4} \)
D. reduction of ethanol in the presence of concentrated \( H_{2} S O_{4} \)
Subject: Maths
\( \left(x^{3}-y^{3}\right) d x+x y^{2} d y=0 . \) Solving this
we get \( \frac{\boldsymbol{k}}{\boldsymbol{x}}=\boldsymbol{e}^{\boldsymbol{y}^{m} / \boldsymbol{n} \boldsymbol{x}^{r}} . \) Find \( \boldsymbol{m}+\boldsymbol{n}+\boldsymbol{r} ? \)
Subject: Physics
In the figure given, there are two convex
lens \( L_{1} \) and \( L_{2} \) having focal length of \( f_{1} \)
and \( f_{2} \) respectively. The distance
between \( L_{1} \) and \( L_{2} \) will be:
\( A \cdot f_{1} \)
\( \mathbf{B} \cdot f_{2} \)
\( c \cdot f_{1}+f_{2} \)
D. \( f_{1}-f_{2} \)
Subject: Physics
A gas takes part in two processes in
which it is heated from the same initial
state 1 to the same final temperature.
The process are shown on the P-V diagram by the straight line 1 -2 and \( 1-3 \)
2 and 3 are the points on the same
isothermal curve. \( Q_{1} \) and \( Q_{2} \) are the
heat transfer along the two processes.
Then in which case will the heat
transfer be more?
Subject: Physics
A ray of monochromatic light is incident on the refracting face of a prism (angle
\( 75^{\circ} \) It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the prism is \( \sqrt{2}, \) then the angle of incidence on the first face of the prism is
A . 15
B. \( 30^{\circ} \)
\( c \cdot 45 \)
D. \( 60^{\circ} \)
Subject: Maths
Find the value of \( x \) if
\( \left|\begin{array}{ccc}\boldsymbol{x}-\mathbf{2} & \mathbf{2} \boldsymbol{x}-\mathbf{3} & \mathbf{3} \boldsymbol{x}-\mathbf{4} \\ \boldsymbol{x}-\mathbf{4} & \mathbf{2} \boldsymbol{x}-\mathbf{9} & \mathbf{3} \boldsymbol{x}-\mathbf{1 6} \\ \boldsymbol{x}-\mathbf{8} & \mathbf{2} \boldsymbol{x}-\mathbf{2 7} & \mathbf{3} \boldsymbol{x}-\mathbf{6 4}\end{array}\right|=\mathbf{0} ? \)
Subject: Physics
Three identical bulbs are connected as
shown in figure. When switch \( S \) is
closed, the power consumed in bulb \( B \)
is \( P . \) What will be the power consumed by the same bulb when switch \( S \) is
opened?
\( ^{A} \cdot \frac{9 P}{4} \)
в. \( \frac{16 P}{9} \)
c. \( \frac{9 P}{16} \)
D. \( \frac{4 P}{9} \)
Subject: Physics
An aluminium rod (length \( l_{1} \) and
coefficient of linear expansion \( \alpha_{A} \) ) and
a steel rod (length \( l_{2} \) and coefficient of
linear expansion \( \alpha_{B} \) ) are joined together. If the length of each rod increased by the same amount when
their temperature are raised by \( t^{\circ} C \)
then \( l_{1} / l_{2}+1 \) is:
\( \mathbf{A} \cdot \alpha_{A} / \alpha_{B} \)
в. \( \alpha_{B} / \alpha_{A} \)
c. \( \alpha_{B} / \alpha_{A}+1 \)
D. \( \alpha_{A} / \alpha_{B}+1 \)
Subject: Maths
Area bounded by \( x^{2}=4 a y \) and \( y= \)
\( \frac{8 a^{3}}{x^{2}+4 a^{2}} \) is:
A \( \cdot \frac{a^{2}}{3}(6 \pi-4) \)
в. \( \frac{\pi a^{2}}{3} \)
c. \( \frac{a^{2}}{3}(6 \pi+4) \)
D.
Subject: Physics
The dimensional formula of effective
torsional constant of spring is
A \( \cdot M^{1} L^{2} T^{-3} \)
B. \( M^{1} L^{2} T^{-2} A^{-} \)
c. \( M^{1} L^{2} T^{-2} \)
D. \( M^{0} L^{0} T^{0} \)
Subject: Physics
The displacement-time graph for the two particles \( A \) and \( B \) are straight lines inclined at angles of \( 30^{0} \) and \( 45^{0} \) with the time axis. What is the ratio of
velocities \( \boldsymbol{v}_{\boldsymbol{A}} \cdot \boldsymbol{v}_{\boldsymbol{B}} ? \)
A \( \cdot 1: 3^{\wedge} 1 / 2 \)
B. 311/2:
\( c \cdot 1: \)
D. none
Subject: Maths
\( 110^{\circ} 30^{\prime} \) in radians is :
A \( \cdot \frac{221 \pi^{c}}{360} \)
в. \( \frac{225 \pi^{c}}{360} \)
c. \( \frac{231 \pi^{c}}{360} \)
D. \( \frac{229 \pi^{c}}{360} \)
Subject: Maths
The solution of \( (x+y+1) \frac{d y}{d x}=1 \) is:
A \( . x=-(y+2)+c e^{y} \)
B . \( y=-(x+2)+c e^{x} \)
c. \( x=-(y+2)+c e^{x} \)
D. \( x=(y+2)+c e^{-y} \)
Subject: Chemistry
Which of the following products is
formed in good yield by the reduction of
methyl 4-oxo-hexanoate \( (M) \) with
Li \( A l H_{4} \) in ether?
A. Methyl 4-hydroxyhexanoate
B. 1,4-Hexanediol
c. 4-Hydroxyhexanal
D. 6 -Methoxy-3-hexanone
Subject: Physics
The angular momentum of an electron
in the first orbit of an \( L i^{+} \) ion is
A \( \cdot \frac{3 h}{2 \pi} \)
в. \( \frac{9 h}{2 \pi} \)
c. \( \frac{h}{2 \pi} \)
D. \( \frac{h}{6 \pi} \)
Subject: Maths
If \( a_{1}, a_{2}, \dots \dots, a_{24} \) are in \( A P \) and \( a_{1}+ \)
\( \boldsymbol{a}_{\boldsymbol{5}}+\boldsymbol{a}_{\boldsymbol{1 0}}+\boldsymbol{a}_{\boldsymbol{1 5}}+\boldsymbol{a}_{\boldsymbol{2 0}}+\boldsymbol{a}_{\boldsymbol{2 4}}=\mathbf{2 2 5} \) then
the sum of 24 terms of this AP is.
A. 900
в. 450
\( c \cdot 225 \)
D. None of these
Subject: Physics
A Proton and an / alpha particle are
accelerated through a potential difference of \( 100 \mathrm{V} \). The ratio of the
wavelength associated with the proton to that associated with an / alpha
particle is
A .1: 2
B . 2: 1
\( \mathbf{c} \cdot 22: 1 \)
D. \( 2 \sqrt{2}: 1 \)
Subject: Physics
A container is filled with water \( (\mu= \)
1.33) upto a height of \( 33.25 \mathrm{cm} . \) A
concave mirror is placed \( 15 \mathrm{cm} \) above
the water level and the image of an object placed at the bottom is formed \( 25 \mathrm{cm} \) below the water level. The focal
length of the mirror is
\( \mathbf{A} \cdot 10 \)
B. 15
\( c .20 \)
D. 25
Subject: Physics
Find the velocities of the point \( \boldsymbol{A} \)
A. \( 10.0 \mathrm{cm} / \mathrm{s} \)
в. \( 7.21 \mathrm{cm} / \mathrm{s} \)
\( c \cdot 5 c m / s \)
D. \( 0 \mathrm{cm} / \mathrm{s} \)
Subject: Maths
Let \( A, B \) and \( C \) be sets such that \( \phi= \)
\( \boldsymbol{A} \cap \boldsymbol{B} \subseteq \boldsymbol{C} . \) Then which of the following
statements is not true?
\( \mathbf{A} \cdot \) If \( (A-C) \subseteq B, \) then \( A \subseteq B \)
в. \( (C \cup A) \cap(C \cup B)=C \)
c. If \( (A-B) \subseteq C \), then \( A \subseteq C \)
D. \( B \cap C \neq \phi \)
Subject: Maths
Let \( x_{1}, x_{2}, x_{3}, x_{4} \) be four non zero
numbers satisfying the equation \( \tan ^{-1} \frac{a}{x}+\tan ^{-1} \frac{b}{x}+\tan ^{-1} \frac{c}{x}+ \)
\( \tan ^{-1} \frac{d}{x}=\frac{\pi}{2} \)
This question has multiple correct options
\( ^{\mathbf{A}} \cdot \sum_{i=1}^{4} x_{i}=a+b+c=d \)
\( ^{\mathrm{B}} \cdot \sum_{i=1}^{4} \frac{1}{x_{1}}=0 \)
\( \mathbf{c} \cdot \Pi_{i=1}^{4} x_{i}=a b c d \)
D. \( \left(x_{1}+x_{2}+x_{3}\right)\left(x_{2}+x_{3}+x_{4}\right)\left(x_{3}+x_{4}+x_{1}\right)\left(x_{4}+x_{1}+\right. \)
\( \left.x_{2}\right)=a b c d \)
Subject: Chemistry
A 100 watt bulb emits monochromatic
light of wavelength 400 nm. Calculate the number of photons emitted per second by the bulb
A. \( 3 \times 10^{20} s^{-1} \)
B. \( 2 \times 10^{-20} s^{-1} \)
c. \( 2 \times 10^{20} s^{-1} \)
D. \( 1 \times 10^{-20} s^{-1} \)
Subject: Physics
Tenth fringe of wavelength \( 4000 A^{\circ} \)
coincides with \( 8 t h \) fringes of
wavelength \( \lambda \). Then \( \lambda \) is
\( \mathbf{A} \cdot 50 n m \)
B. \( 555 n m \)
c. 450 n \( m \)
D. none
Subject: Maths
If \( \boldsymbol{A}=\left(\left[\begin{array}{ll}\mathbf{7} & \mathbf{2} \\ \mathbf{1} & \mathbf{3}\end{array}\right]\right) \) and \( \boldsymbol{A}+\boldsymbol{B}= \)
\( \left(\left[\begin{array}{cc}-1 & 0 \\ 2 & -4\end{array}\right]\right), \) then the matrix \( B= \)
\( \mathbf{A} \cdot\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \)
В. \( \left[\begin{array}{cc}6 & 2 \\ 3 & -1\end{array}\right] \)
c. \( \left[\begin{array}{cc}-8 & -2 \\ 1 & -7\end{array}\right] \)
D. \( \left[\begin{array}{cc}8 & 2 \\ -1 & 7\end{array}\right] \)
Subject: Chemistry
Calculate the electrode potential of the
electode
\( Z n / Z n^{2+}(\text {conc.}=0.1 M) \) at \( 25^{\circ} C \)
Given that \( \boldsymbol{E}_{Z n, Z n^{2+}}^{\circ}=\mathbf{0 . 7 6 1 8} \) volt.
Subject: Maths
The half life of Uranium - 233 is 160000
years i.e., Uranium 233 decays at a
constant rate in such a way that it reduces to \( 50 \% \) in 160000 years. in how
many years will it reduce to \( 25 \% ? \)
A. 80000 years
B. 240000 years
c. 320000 years
D. 40000 years
Subject: Maths
If the matrix is a square matrix and it contains 36 elements, then the order of the matrix is:
\( \mathbf{A} \cdot 4 \times 4 \)
B. \( 8 \times 8 \)
\( \mathbf{c} \cdot 6 \times 6 \)
D. \( 3 \times 3 \)
Subject: Physics
Assertion
There is a physical significance of
matter waves.
Reason
Both interference and diffraction occurs
in it.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Chemistry
The equilibrium established when
\( H g C l_{2} \) is shaken with an excess of \( H g \)
is:
\( \mathbf{A} \cdot H g^{2+}+H g \rightleftharpoons 2 H g^{+} \)
B. \( H g^{2+}+H g_{(l)} \rightleftharpoons H g_{2}^{2+} \)
C. \( H g+2 H g^{2+} \rightleftharpoons H g^{2+}+2 H g^{+} \)
D. no equilibrium is established
Subject: Physics
Four lenses of focal length
\( +15 c m,+20 c m,+150 c m \) and
\( +250 c m \) are available for making an astronomical telescope. To produce the largest magnification, the focal length of the eyepiece should be
A \( .+15 \mathrm{cm} \)
B. +20 cm
\( \mathbf{c} .+150 \mathrm{cm} \)
D. \( +250 c m \)
Subject: Physics
A liquid P of specific heat capacity \( 1800 J k g^{-1} K^{-1} \) and \( a t 80^{\circ} C \) is mixed
with a liquid \( R \) of specific heat capacity \( 1200 J k g^{-1} K^{-1} \) and at \( 30^{\circ} \mathrm{C} . \) After
mixing, the final temperature of
mixture is \( 50^{\circ} \mathrm{C} \). In what proportion by weight are the liquids mixed?
Subject: Chemistry
Show with balanced equations what happens when the following are mixed:
Aqueous solution of potassium chromate and acid.
A \( \cdot 2 C r O_{4}^{2-}+2 H^{+} \rightleftharpoons C r_{2} O_{7}^{2-}+H_{2} O \)
B \( \cdot 2 C r O_{4}^{2-}+10 H^{+} \rightleftharpoons C r_{2} O_{3}^{2-}+5 H_{2} O \)
\( \mathrm{c} \cdot 2 \mathrm{Cr} \mathrm{O}_{4}^{2-}+6 \mathrm{H}^{+} \rightleftharpoons \mathrm{Cr}_{2} \mathrm{O}_{5}^{2-}+3 \mathrm{H}_{2} \mathrm{O} \)
D. None of these
Subject: Physics
A particle performs SHM given by the
equation \( \boldsymbol{x}= \)Asinwt. Where is the
particle at \( t=3 T / 8 \)
A. The particle is at a distance of \( A / \sqrt{(} 2) \) moving away from the mean position to its extreme
B. The particle is at a distance of \( A / \sqrt{(} 2) \) moving towards the mean position to its extreme
C. The particle is at a distance of \( A(1-1 / \sqrt{(} 2)) \) moving away from the mean position to its extreme
D. None of these
Subject: Physics
Two concentric circular coils \( X \) and \( Y \) of
radii \( 16 \mathrm{cm} \) and \( 10 \mathrm{cm}, \) respectively, lie in the same vertical plane containing the north to south direction. Coil X has
20 turns and carries a current of \( 16 \mathrm{A} \)
coil \( Y \) has 25 turns and carries a current
of 18 A. The sense of the current in \( X \) is
anticlockwise, and clockwise in \( Y \), for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre
Subject: Chemistry
Carbon monoxide is a poisonous gas
which when inhaled in too much
quantity causes headache, nausea, vomiting and even death. The toxicity of carbon monoxide is due to
A. Its greater a ffinity for hemoglobin as compared to carbon dioxide
B. Its lower affinity for hemoglobin as compared to carbon dioxide
c. Its greater affinity for hemoglobin as compared to oxygen
D. Its greater affinity for oxygen as compared to hemoglobin
Subject: Maths
The terms \( \frac{1}{\sqrt{5}+\sqrt{6}}, \frac{1}{\sqrt{6}+\sqrt{4}}, \frac{1}{\sqrt{4}+\sqrt{5}} \) are in
\( A \cdot A \cdot P \)
B. G.P.
c. н.P
D. A.G.P.
Subject: Chemistry
Which of the following statements
about Grignard reagent is false?
A. Grignard reagents (RMgBr) add to the carbonyl group of aldehydes and ketones
B. An organosodium compound is not very reactive compared to a Grignard reagent
C . Grignard reagents are prepared in ether or tetrahydrofuran (THF)
D. Grignard reagents are decomposed by water and alcohol
Subject: Maths
If each observation of a dist., whose
variance is \( \sigma^{2}, \) is multiplied by \( \lambda, \) then
the \( S . D . \) of the new new observations is
A . \( \sigma \)
B. \( \lambda \sigma \)
c. \( |\lambda| \sigma \)
D. \( \lambda^{2} \sigma \)
Subject: Biology
\( M g^{2+} \) and \( C l^{-} \) are required during
transfer of electron from
A \( \cdot O H^{-} \) to \( C h l \) orophyll \( -a_{683} \)
B. \( O H^{-} \) to \( P_{700} \)
c. \( F D \) to \( F R S \)
D. Cytochrome \( -b \) to cytochrome \( -f \)
Subject: Physics
A hollow metallic sphere of radius
\( 10 \mathrm{cm} \) is given a charge of \( 3.2 \times 10^{-9} \mathrm{C} \)
The electric intensity at a point \( 4 \mathrm{cm} \)
from the centre is
A \( \cdot 9 \times 10^{-9} N C^{-1} \)
В. \( 288 N C^{-1} \)
c. \( 2.88 N C^{-1} \)
D. zero
Subject: Biology
Note the following statements.
a. It forms the lining of the cavities of alveoli of the lungs.
b. It forms the lining of wet surfaces like
buccal cavity and oesophagus.
c. It occurs in the ducts of sweat glands.
d. It forms the lining of salivary glands and sweat glands.
e. It is a loose connective tissue.
Which of the above are associated with
simple epithelial tissue?
A. a and d
B. b and c
c. \( c \) and a
D. \( d \) and e
Subject: Biology
Blood clotting requires
\( A \cdot N a^{+} \) and \( K^{+} \)
B. \( \mathrm{Na}^{+} \) and prothrombin
C \( \cdot \mathrm{Na}^{+} \) and thromboplastin
D. \( \mathrm{Ca}^{++} \) and thromboplastin
Subject: Chemistry
A colourless gas ' \( x \) ' forms a brown
coloured gas ' \( y^{\prime} \) when mixed with air. \( x \)
and \( y \) could be :
A. \( N O, N O_{2} \)
в. \( N O, O_{2} \)
c. \( N O_{2}, N_{2} O_{4} \)
D. \( N O, N_{2} O_{4} \)
Subject: Maths
If \( y=\sqrt{\sin x+y} \) then \( \frac{d y}{d x} \) equals to
A \( \cdot \frac{\cos x}{2 y-1} \)
B. \( \frac{\cos }{1-2 y} \)
c. \( \frac{\sin x}{1-2 y} \)
D. \( \frac{\sin x}{2 y-1} \)
Subject: Physics
Three charges each \( 20 \mu C \) are placed at
the corners of an equilateral triangle of side of \( 0.4 m . \) The potential energy of the
system is :
\( \mathbf{A} \cdot 18 \times 10^{-6} J \)
B. \( 9 J \)
c. \( 9 \times 10^{-6} J \)
D. 27J
Subject: Maths
\( \int\left(x^{2}-x+5\right) d x \)
A. \( \frac{x^{3}}{3}-\frac{x^{2}}{2}+5 x+c \)
B. \( \frac{x^{3}}{3}+\frac{x^{2}}{2}+5 x+c \)
c. \( \frac{x^{2}}{2}-\frac{x}{2}+5 x+c \)
D. \( \frac{x^{4}}{4}-\frac{x^{4}}{3}+5 \)
Subject: Physics
0.2 moles of an ideal gas, is taken
round the cycle \( a b c \) as shown in the
figure. The path \( b-c \) is adiabatic
process \( a-b \) is isovolumic and \( c-a \) is
isobaric process. The temperature at \( ^{\prime} a^{\prime} \)
and \( ^{\prime} b^{\prime} \) are \( T_{a}=300 K \) and \( T_{b}=500 K \)
and pressure at \( ^{\prime} a^{\prime} \) is 1 atmospheric.
The volume at \( ^{\prime} c^{\prime} \) is :
\( \left(\text {Given }: \gamma=\frac{\boldsymbol{C}_{\boldsymbol{p}}}{\boldsymbol{C}_{\boldsymbol{v}}}=\frac{\mathbf{5}}{\mathbf{3}}, \boldsymbol{R}=\mathbf{8 . 2 0 5} \times \mathbf{1}\right. \)
\( A \cdot 6.9 L \)
B. \( 6.68 L \)
0.5 .8
Subject: Chemistry
Assertion
Liquefaction of acetic acid leading to formation of glacial acetic acid.
Reason
Vinegar is roughly \( 3 \%-5 \% \) acetic acid by volume, making acetic acid the main component of vinegar apart from water
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
Two spheres of copper of diameters 10 \( \mathrm{cm} \) and \( 20 \mathrm{cm} \) will have thermal capacities in the ratio
A \( \cdot \frac{1}{8} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Biology
Find out the correct labeling
A. a - Nephron, b - Cortex, c- Medulla, d- Pelvis, e - Ureter
B. a - Cortex, b - Nephron, c- Pelvis, d- Medulla, e- - Ureter
C. a - Cortex, b - Medulla, c- Nephron, d- Pelvis, e- Ureter
D. a - Nephron, b - cortex, c- Medulla, d- Ureter, e - Pelvis