AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The following are the equilibria
\( N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3} K_{1} \dots(\mathrm{i}) \)
\( N_{2}+O_{2} \rightleftharpoons 2 N O K_{2} \)
\( \boldsymbol{H}_{2}+\frac{1}{2} \boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O} \boldsymbol{K}_{3} \)
Then the equilibrium constant \( \boldsymbol{K}_{4} \) for
the reaction
\( \mathbf{2} N \boldsymbol{H}_{3}+\frac{5}{2} \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}+\mathbf{3} \boldsymbol{H}_{2} \boldsymbol{O} \) is:
A \( \cdot \frac{K_{2} \times K_{3}}{K_{1}} \)
B. \( \frac{K_{2} \times K_{3}^{3}}{K_{3}} \)
c. \( \frac{K_{2} \times K_{3}^{3}}{K_{1}} \)
D. \( \frac{K_{2} \times K_{1}}{K_{3}} \)
Subject: Maths
Assertion
Let \( \boldsymbol{f}:(\boldsymbol{e}, \infty) \rightarrow \boldsymbol{R} \) defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \log (\log (\log x)) \) is invertible.
Reason
\( f \) is both one-one and onto.
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
\( 500 m L \) of a sample of water required
19.6 mg of \( K_{2} C r_{2} O_{7} \) for the oxidation
of dissolved organic matter in it in the
presence of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} . \) The \( \boldsymbol{C O D} \) of water
sample is:
A. 3.2 ppm
в. 7.2 ррт
\( \mathrm{c} .6 .4 \mathrm{ppm} \)
D. \( 4.6 \mathrm{ppm} \)
Subject: Physics
A uniform string of length \( l \), fixed at
both ends is vibrating in its \( 2 n d \)
overtone. The maximum amplitude is 'a
and tension in string is 'T', if the energy of vibration contained between two
consecutive nodes is \( \frac{K}{8} \cdot \frac{a^{2} \pi^{2} T}{l} \) then \( ^{\prime} K \) is
Subject: Maths
\( 20 a^{2}-45= \)
\( \mathbf{A} \cdot 5(3-2 a)(3+2 a) \)
B. \( 5(2 a-3)(2 a-3) \)
\( \mathbf{c} \cdot 3(5+2 a)(5-2 a) \)
D. \( 3(2 a+5)(2 a-5) \)
Subject: Physics
In scattering experiment, find the distance of closest approach, if a \( 6 M e V \alpha- \) particle is used
A \( .3 .2 \times 10^{-16} m \)
В. \( 2 \times 10^{-14} \mathrm{m} \)
c. \( 4.6 \times 10^{-15} \mathrm{m} \)
D. 3.2 \( \times 10^{-15} \mathrm{m} \)
Subject: Chemistry
If the freezing point of a 0.01 mola aqueous solution of a cobalt(III) chloride-ammonia complex (which behaves as a strong electrolyte) is
\( -0.0558^{\circ} C, \) the number of chloride(s)
in the coordination sphere of the
complex is:
\( \left[K_{f} \text { of water }=1.86 K k g m o l^{-1}\right] \)
Subject: Physics
\( \mathbf{A} \)
\( 1.5 k W \) (kilo-watt) laser beam of wavelength \( 6400 \dot{A} \) is used to levitate a
thin aluminium disc of same area as
the cross section of the beam. The laser
light is reflected by the aluminium disk without any absorption. The mass of the
disc is close to:
A \( \cdot 10^{-9} k g \)
в. \( 10^{-3} \mathrm{kg} \)
\( \mathrm{c} \cdot 10^{-4} \mathrm{kg} \)
D. \( 10^{-6} \mathrm{kg} \)
Subject: Chemistry
When \( N a N O_{3} \) is heated in a closed
vessel, \( O_{2} \) is liberated and \( N a N O_{2} \) is left behind. At equilibrium:
A. increased temperature favours forward reaction
B. addition of \( N a N O_{2} \) favours reverse reaction
c. increased pressure favours forward reaction
D. adding of \( N a N O_{2} \) favours forward reaction
Subject: Maths
The term independent of \( x \) in the expansion of \( \left(\sqrt{\frac{x}{3}}+\frac{3}{2 x^{2}}\right)^{10} \) will be
\( ^{A} \cdot \frac{3}{2} \)
в.
\( c \cdot \frac{5}{2} \)
D. None of these
Subject: Biology
Choose the correct answer from the
alternatives given.

Glucose \( \left(C_{6} H_{12} O_{6}\right) \) can exist as both
an open chain form and a dosed ring form Earlier, it was thought that
glucose occurs in the closed ring form
What possible difference between these forms would give scientists a clue
that the open chain form was not
present
A. Only open chain forms can undergo condensation, which does not occur with glucose
B. An open chain presents ends with functional groups (in this case aldehyde), and glucose failed to undergo typical aldehyde reactions, a phenomenon that could be explained by having no end functional group in a ring structure
C. Because glucose is solid at room temperature, it must have saturated hydrocarbon chains
D. Glucose could not be denatured so it must be a tight chain
Subject: Maths
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{\mathbf{1}+\mathbf{3} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{2} \boldsymbol{e}^{\boldsymbol{2} \boldsymbol{x}}} \cdot \)
A \( \cdot \log \frac{e^{x}\left(1-e^{x}\right)}{\left(1+2 e^{x}\right)^{2}} \)
B \( \cdot \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1+e^{x}\right)^{2}} \)
C \( \cdot \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1+2 e^{x}\right)^{2}} \)
D. \( \log \frac{e^{x}\left(1+e^{x}\right)}{\left(1-2 e^{x}\right)^{2}} \)
Subject: Maths
\( \left|\begin{array}{ccc}\boldsymbol{x}_{1} & \boldsymbol{y}_{1} & \mathbf{1} \\ \boldsymbol{x}_{2} & \boldsymbol{y}_{2} & \mathbf{1} \\ \boldsymbol{x}_{3} & \boldsymbol{y}_{3} & \boldsymbol{1}\end{array}\right|=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \boldsymbol{b}_{1} & \boldsymbol{b}_{2} & \boldsymbol{b}_{3} \\ \boldsymbol{a}_{1} & \boldsymbol{a}_{2} & \boldsymbol{a}_{3}\end{array}\right| \) then the
two triangles whose vertices are \( \left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right),\left(x_{3}, y_{3}\right) \) and
\( \left(a_{1}, b_{1}\right),\left(a_{2}, b_{2}\right),\left(a_{3}, b_{3}\right) \) are
A. congruent
B. similar
c. equal in areas
D. right angled triangles
Subject: Chemistry
(i) What are the postulates of Werner's
theory?
(ii) Write the IUPAC names fo
\( \boldsymbol{K}_{3}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{6}\right],\left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{6}\right] \boldsymbol{C l}_{3} \)
Subject: Physics
In an uniform electric field \( \boldsymbol{E}=\mathbf{1 0} \boldsymbol{N} / \boldsymbol{C} \)
as shown in figure, find \( \boldsymbol{V}_{\boldsymbol{A}}-\boldsymbol{V}_{\boldsymbol{B}} \)
\( \mathbf{A} \cdot 10 V \)
B. \( -10 V \)
\( \mathbf{c} \cdot 20 V \)
D \( .-20 V \)
Subject: Physics
What is the wavelength range of visible
light?
\( \mathbf{A} \cdot 4 \times 10^{-7} m \) to \( 8 \times 10^{-7} m \)
B . \( 4 \times 10^{-9} \mathrm{m} \) to \( 8 \times 10^{-9} \mathrm{m} \)
c. \( 4 \times 10^{-5} m \) to \( 8 \times 10^{-5} m \)
D. \( 4 \times 10^{-6} \mathrm{m} \) to \( 8 \times 10^{-6} \mathrm{m} \)
Subject: Maths
Q Type your question
\( y \)
Development Houses
\( 2 \mathrm{Br} \quad 3 \mathrm{Br} \quad 4 \mathrm{Br} \quad \) Total
single-Family \( 5 \quad 19 \quad 34 \)
58
Townhouse
\( 24 \quad 42 \quad 30 \)
96
Total
\( 29 \quad 61 \quad 64 \)
A daycare centre is planning to distribute pamphlets to the families with children living houses with three or more bedrooms, due to budget. In addition to sending out flyers, it also decides to send out invitations for a free
day of daycare, to the family residing in two categories with the most houses. If
a house that already received a flyer is chosen at random to receive the second
stage of the marketing, then the probability that the house belongs to one of these two groups is \( \frac{p}{q}, \) where \( p, q \) are co-primes.What is the value of \( \boldsymbol{q}- \)
\( \boldsymbol{p} ? \)
Subject: Maths
The remainder obtained when the
polynomial \( \boldsymbol{x}^{4}-\mathbf{3} \boldsymbol{x}^{\mathbf{3}}+\mathbf{9} \boldsymbol{x}^{2}-\mathbf{2 7} \boldsymbol{x}+\mathbf{8 1} \)
is divided by \( (x-3) \) is:
\( \mathbf{A} \cdot \mathbf{0} \)
B. 3
c. 81
D. 27
Subject: Physics
This question has multiple correct options
A. If \( 11=12 \), then \( B \) cannot be equal to zero at the origin \( (0, \) 0,0)
B. If \( 11>0 \) and \( 12<0, \) then \( B \) can be equal to zero at the origin (0,0,0)
C. If \( 11<0 \) and \( 12>0, \) then \( B \) can be equal to zero at the origin (0,0,0)
D. all of above
Subject: Maths
The interior angles of a pentagon are in the ratio \( 4: 5: 6: 7: 5 . \) Find each angle
of the pentagon
A \( \cdot 80^{\circ}, 100^{\circ}, 120^{\circ} 140^{\circ} \) and \( 100^{\circ} \)
\( ^{\circ} \)
В. \( 100^{\circ}, 120^{\circ}, 110^{\circ}, 140^{\circ} \) and \( 100^{\circ} \)
D. none of the above
Subject: Physics
A stone is swinging in a horizontal circle of diameter \( 0.8 ~ m \) at 30 rev / min. A distant light causes a shadow of the stone on a nearly wall. The amplitude and period of the SHM for the shadow of the stone are:
A. \( 0.4 m, 4 s \)
B. \( 0.2 m, 2 s \)
c. \( 0.4 m, 2 s \)
D. \( 0.8 m, 2 s \)
Subject: Maths
When does the truth value of the
statement \( (\boldsymbol{p} \vee \boldsymbol{r}) \Leftrightarrow(\boldsymbol{q} \vee \boldsymbol{r}) \) become
true?
A . p is true, q is true
B. p is false, q is false
c. p is true, r is true
D. Both (1) and (3)
Subject: Maths
The eccentricity of an ellipse \( 9 x^{2}+ \)
\( 16 y^{2}=144 \) is
A \( \frac{\sqrt{3}}{5} \)
B. \( \frac{\sqrt{5}}{3} \)
c. \( \frac{\sqrt{7}}{4} \)
D.
Subject: Chemistry
One of the oxoacid salts on heating with
conc. \( H N O_{3} \) and ammonium
molybdate, gives yellow ppt. What is this ion?
\( \mathbf{A} \cdot P O_{3}^{3} \)
B \( \cdot P O_{4}^{3} \)
\( \mathbf{c} \cdot S O_{4}^{2-} \)
D. \( C l \)
Subject: Physics
A copper rod of length \( l \) is rotated about one end, perpendicular to the uniform
magnetic field \( B \) with constant angular velocity \( \omega . \) The induced emf between
two ends of the rod is:
A \( \cdot \frac{1}{2} B \omega l^{2} \)
в. \( B \omega l^{2} \)
c. \( \frac{3}{2} B \omega l^{2} \)
D . \( 2 B \omega l^{2} \)
Subject: Physics
A Zener diode, having breakdown
voltage equal to \( 15 V \), is used in a
voltage regulator circuit shown in
figure. The current through the diode is
A . \( 10 \mathrm{mA} \)
в. \( 15 \mathrm{mA} \)
\( c .20 m A \)
D. \( 5 m A \)
Subject: Chemistry
Total order of reaction \( \boldsymbol{X}+\boldsymbol{Y} \rightarrow \boldsymbol{X} \boldsymbol{Y} \) is
3
The order of reaction with respect to \( X \) is
2.
State the differential rate equation for
the reaction.
\( ^{\mathbf{A}} \cdot-\frac{d[X]}{d t}=k[X]^{0}[Y]^{3} \)
в. \( -\frac{d[X]}{d t}=k[X]^{3}[Y]^{0} \)
\( ^{\mathrm{c}} \cdot \frac{d[X]}{d t}=k[X]^{2}[Y] \)
D. \( -\frac{d[X]}{d t}=k[X][Y]^{2} \)
Subject: Maths
Simplify: \( (\boldsymbol{p}-\boldsymbol{q})^{2}+\mathbf{4} \boldsymbol{p} \boldsymbol{q} \)
A \( \cdot p^{2}-q^{2} \)
в. \( (p+q)^{2} \)
c. \( (2 p-q)^{2} \)
D. \( (2 p-2 q)^{2} \)
Subject: Physics
If the absolute refractive indices of glass and water are \( \frac{3}{2} \) and \( \frac{4}{3} \) respectively, what will be the velocity of light in water?
(If velocity of light in glass \( \left.=2 \times 10^{8}\right) \)
\( \mathbf{A} \cdot 2.25 \times 10^{8} m / s \)
B . \( 3.25 \times 10^{8} m / s \)
C \( .2 .25 \times 10^{7} \mathrm{m} / \mathrm{s} \)
D. \( 2.15 \times 10^{8} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
What will be the half-life of the first
order reaction for which the value of
rate constant is \( 200 s^{-1} ? \)
A . \( 3.46 \times 10^{-2} s \)
B. \( 3.46 \times 10^{-3} s \)
c. \( 4.26 \times 10^{-2} s \)
D. \( 4.26 \times 10^{-3} s \)
Subject: Maths
If \( \boldsymbol{a}: \boldsymbol{b}=\mathbf{5}: \mathbf{9} \) and \( \boldsymbol{b}: \boldsymbol{c}=\boldsymbol{4}: \mathbf{7} \) find \( \boldsymbol{a}: \)
\( \boldsymbol{b}: \boldsymbol{c} \)
This question has multiple correct options
A \( \cdot 5: 9: \frac{63}{4} \)
B. 20: 63: 36
\( \mathbf{c} \cdot 4: 36: 63 \)
D. 20: 36: 63
Subject: Chemistry
If the valence electron configuration of this element is \( x s^{2} 6 f^{y} \) and \( 7 d^{z}, \) then find out the value of \( x, y \) and \( z \)
A. \( x=8, y=14, z=10 \)
B . \( x=7, y=12, z=10 \)
c. \( x=9, y=10, z=10 \)
D. None of the above
Subject: Physics
Four particle each having a charge \( \boldsymbol{q} \)
are placed on the four vertices of a
regular pentagon. The distance of each
corner from the centre is \( a \). Find the
electric field at the centre of the
Pentagon.
A \( \cdot \frac{q}{4 \pi \epsilon_{0} a^{2}} \) Along OE
B. \( \frac{q}{3 \pi \epsilon_{0} a^{2}} \) Along OE
c. \( Z \) ero
D. \( \frac{q}{2} \) Along EO
Subject: Physics
When an elastic material with Young's modulus \( Y \) is subjected to stretching stress \( \mathrm{S} \), elastic energy stored per unit volume of the material is
\( ^{A} \cdot \frac{Y S}{2} \)
B. \( \frac{S^{2} Y}{2} \)
c. \( \frac{s^{2}}{2 Y} \)
D. \( \frac{s}{2 Y} \)
Subject: Chemistry
\( \mathbf{4} D_{2} \boldsymbol{O}+\mathbf{3} \boldsymbol{F} \boldsymbol{e} \stackrel{\boldsymbol{R e d} \text {hot}}{\boldsymbol{*}} \boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}+\boldsymbol{g} \boldsymbol{a} \boldsymbol{s} . \) The
gas produced in the above reaction is:
\( A \cdot O_{2} \)
в. \( H_{2} \)
c. \( D_{2} \)
D. \( T_{2} \)
Subject: Maths
If \( \tan \theta=\frac{b}{a}, \) then the value of
\( a \cos 2 \theta+b \sin 2 \theta \) is
\( \mathbf{A} \cdot b \)
в.
c. \( \frac{a}{b} \)
D. \( \frac{a}{a+b} \)
Subject: Physics
Two points \( A \) and \( B \) on a disc have
velocities \( v_{1} \) and \( v_{2} \) at some moment.
Their directions make angles \( 60^{\circ} \) and
\( 30^{\circ} \) respectively with the line of
separation as shown in figure. The
angular velocity of disc is not given by :
A \( \cdot \frac{v_{1}}{\sqrt{3} d} \)
B. \( \frac{v_{2}}{d} \)
\( ^{\mathbf{c}} \cdot\left(\frac{\sqrt{3} v_{1}-v_{2}}{2 d}\right) \)
D. None of these
Subject: Chemistry
Which statement(s) is/are correct
about hydrogen spectrum?
A. Energy of 2 nd orbit is different for \( H_{1}^{1}, H_{1}^{2} \) and \( H_{1}^{3} \)
B. Visible spectrum can be obtained in Lyman series and B
C. Infrared spectrum is obtained in Paschen, Brackett and
D. Total number of emission lines obtained in Balmer serie where \( n \) is principal quantum number and \( n>2 \)
Subject: Maths
The Coefficient of Variation is given by:
A. \( \frac{\text { Mean }}{\text { Standard deviation }} \times 100 \)
B. \( \frac{\text { Standard deviation }}{\text { Mean }} \)
c. \( \frac{\text { Standard deviation }}{\text { Mean }} \times 100 \)
D. \( \frac{\text { Mean }}{\text { Standard Deviation }} \)
Subject: Physics
A loop of area \( 0.5 m^{2} \) is placed in a
magnetic field of strength \( 2 T \) in
direction making an angle of \( 30^{\circ} \) with the field. The magnetic flux linked with the loop will be
A \( \cdot \frac{1}{2} W b \)
в. \( \sqrt{\frac{3}{2}} W b \)
c. \( 2 \mathrm{Wb} \)
D. \( \frac{\sqrt{3}}{2} W b \)
Subject: Physics
Match list (I) with List (II)
List I List II
a) Recoil of gun e) Newtons
first law
f) Newtons
second law b) Acceleration in one dimension
and motion in two dimensions g)
Projectile
motion c) Definition of force
d) Measurement of force
\( \mathbf{A} \cdot a \rightarrow e, b \rightarrow g, c \rightarrow h, d \rightarrow f \)
В . \( a \rightarrow h, b \rightarrow g, c \rightarrow e, d \rightarrow f \)
c. \( a \rightarrow e, b \rightarrow h, c \rightarrow g, d \rightarrow f \)
D \( . a \rightarrow h, b \rightarrow e, c \rightarrow g, d \rightarrow f \)
Subject: Maths
The number of points \( (p, q) \) such that
\( \boldsymbol{p}, \boldsymbol{q} \in\{1,2,3,4\} \) and the equation
\( p x^{2}+q x+1=0 \) has real roots is
\( A \cdot 7 \)
B. 8
c. 9
D. none of these
Subject: Physics
If we consider the gravitational force \( F \)
between two objects of masses \( m_{1} \) and
\( m_{2} \) respectively, separated by a distance \( R, \) and we double the distance
between them, what is the new magnitude of the gravitational force between them?
\( A \cdot F / 4 \)
B. F/2
\( c \cdot F \)
D. 2F
E. 4
Subject: Chemistry
During discharging of lead-storage acid battery following reaction takes place:
\( \boldsymbol{P b}(s)+\boldsymbol{P b O}_{2}(s)+2 \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \)
\( 2 P b S O_{4}(s)+2 H_{2} O \)
If 2.5 amp of current is drawn for 965
minutes, \( H_{2} S O_{4} \) consumed is:
A. 0.75 mol
B. 3.00 mol
c. 1.50 mol
D. 4.50 mol
Subject: Physics
Two solid cylinders \( P \) and \( Q \) of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder
\( P \) has most of its mass concentrated
near its surface, while \( Q \) has most of its
mass concentrated near the axis. Which
statement(s) is (are) correct?
A. Both cylinders \( P \) and \( Q \) reach the ground at the same time
B. Cylinder \( P \) has larger linear acceleration than cylinder
\( Q \)
C. Both cylinders reach the ground with same translational kinetic energy.
D. Cylinder \( Q \) reaches the ground with larger angular speed
Subject: Physics
The electric field on two sides of a large charged plate is shown in Fig. The charge density on the plate in Sl units is
given by \( \left(\varepsilon_{0} \) is the permittivity of free \right. space in Sl units):
A \( .2 \varepsilon_{0} \)
в. \( 4 \varepsilon_{0} \)
c. \( 10 \varepsilon_{0} \)
D. zero
Subject: Chemistry
IUPAC name of the compound:
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5}-\boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)_{2} \)
A. 2,4 dimethylhexane.
B. 1, 3 dimethylhexane.
c. 2,2 dimethylhexane
D. 3, 5 dimethylhexane
Subject: Maths
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\sqrt{\mathbf{1}+\boldsymbol{x}^{2}}-\boldsymbol{x})^{n}}(\boldsymbol{n} \neq \pm \mathbf{1})= \)
\( \frac{1}{2}\left(\frac{z^{n+1}}{n+1}+\frac{z^{n-1}}{n-1}\right)+O \)
where
A. \( z=x-\sqrt{1+x^{2}} \)
B. \( z=\sqrt{1+x^{2}}-x \)
c. \( z=x+\sqrt{1+x^{2}} \)
D. \( z=x-\sqrt{1-x^{2}} \)
Subject: Maths
Vishal goes to a shop to buy a radio
costing Rs. \( 2568 . \) The rate of sales tax is
\( 7 \%, \) he tells the shop keeper to reduce the price of radio to such an extent that
he has to pay Rs. 2568 inclusive of sales tax. Find the reduction needed in the
price of the radio
A. Rs. 179
B. Rs. 170
c. Rs. 168
D. Rs. 169
Subject: Chemistry
If \( N_{2} \) gas bubbled through water at
\( 293 K \) how many millimoles of \( N_{2} \) gas
would dissolve in 1 litre of water?

Assume that exerts a partial pressure
of \( 0.987 b a r \)
Given that Henry's law constant for \( N_{2} \)
at \( 293 K \) is \( 76.48 K b a r \)
A. 0.716
B. 0.62
c. 0.93
D. 0.54
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{5} \boldsymbol{a} & -\boldsymbol{b} \\ \mathbf{3} & \mathbf{2}\end{array}\right] \) and \( \boldsymbol{A} \) adj \( \boldsymbol{A}=\boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}} \)
then \( 5 a+b \) is equal to:
A . 13
B. -
c. 5
D.
Subject: Physics
The power (in diopters) of an equiconvex lens with radii of curvature
of \( 10 \mathrm{cm} \) and refractive index of \( 1.6 \mathrm{is} \)
A. -12
B. +12
\( c .+1.2 \)
D. \( -1 / 2 \)
Subject: Biology
At the end of glycolysis, X is the net energy gain from one molecule of glucose via \( Y \), but there is also energy stored in the form of Z. identify \( X, Y, \) and
Z.
A. \( x \) -1 ATP ; Y-Oxidative phosphorylation ; Z- NADH+H
B. X- 2 ATP ; Y-Oxidative phosphorylation; Z- NADH+H
c. \( x \) - 1АTP ; Y-Substrate level phosphorylation ; z\( F A D H_{2} \)
D. x- 2ATP ; Y-substrate level phosphorylation; zNADH+H \( ^{+} \)
Subject: Physics
Assertion
Paramagnetic substances get weakly
attracted to a magnet.
Reason
They have tendency to move from a
region of strong magnetic field to weak
magnetic field.
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
A cricket ball of \( 0.5 \mathrm{kg} \) is moving with a
velocity of \( 100 \mathrm{ms}^{-1} \). The wavelength
associated with its motion is:
A. \( 1 / 100 \mathrm{cm} \)
B. \( 66 \times 10^{-34} \) m
D. 6.6 \( \times 10^{-28} \mathrm{m} \)
Subject: Physics
A body cools from \( 60^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \) in
2 min when it is placed in a room
maintained at \( 30^{\circ} \mathrm{C} \). The time taken by the same body in the same room to cool
further from \( 50^{\circ} \mathrm{C} \) to \( 40^{\circ} \mathrm{C} \) will be
A. Less than 2 min
B. Approximately 2 min
c. Greater than 2 min
D. 2 min
Subject: Maths
The tangents are drawn from origin and the point \( (\boldsymbol{g}, \boldsymbol{f}) \) to the circle \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+ \)
\( 2 g x+2 f y+c=0 . \) Find the distance
between chords of contact.
A \( \cdot \frac{2\left(g^{2}+f^{2}-c\right)}{\sqrt{g^{2}+f^{2}}} \)
B. \( \frac{g^{2}+f^{2}-c}{\sqrt{g^{2}+f^{2}}} \)
c. \( \frac{g^{2}+f^{2}-c}{2 \sqrt{g^{2}+f^{2}}} \)
D. none of these
Subject: Maths
The first and last terms of an A.P of \( n \)
terms is 1,31 respectively. The ratio of \( 8^{t h} \) term and \( (n-2)^{t h} \) term is \( 5: 9, \) the
value of \( n \) is:
\( A \cdot 14 \)
B. 15
\( c \cdot 16 \)
D. 13
Subject: Maths
If one \( G . M .^{\prime} G^{\prime} \) and two arithmetic
means \( p \) and \( q \) be inserted between any
two given number then \( G^{2} \) is:
\( \mathbf{A} \cdot(2 p+q)(2 q-p) \)
в. \( (2 p-q)(q+p) \)
c. \( (2 p-q)(2 q-p) \)
D. \( (p+q)(q+p) \)
Subject: Physics
An Indian rubber cord \( L \) metre long and
area of cross-section \( A \) meter \( ^{2} \) is
suspended vertically. Density of rubber is \( \rho k g / \) meter \( ^{3} \) and Young's modulus of
rubber is \( Y \) Newton/metre \( ^{2} \). If the cord
extends by \( l \) metre under its own
weight, then extension \( l \) is:
\( \mathbf{A} \cdot \frac{L^{2} \rho g}{Y} \)
B. \( \frac{L^{2} \rho g}{2 Y} \)
\( ^{\mathbf{C}} \cdot \frac{L^{2} \rho g}{4 Y} \)
D. \( \frac{Y}{L^{2} \rho g} \)
Subject: Chemistry
At room temperature, the reaction
between \( N O \) and \( O_{2} \) to give \( N O_{2} \) is
fast, while that between \( C O \) and \( O_{2} \) is
slow. It is due to:
A. \( \mathrm{CO} \) is smaller in size than that of \( \mathrm{NO} \)
B. \( \mathrm{CO} \) is poisonous
C. the activation energy for the reaction, \( 2 N O+O_{2} \rightarrow \)
\( 2 N O_{2} \) is less than \( 2 C O+O_{2} \rightarrow 2 C O_{2} \)
D. none of the above
Subject: Biology
Steps in non-cyclic photophosphorylation include passage of electrons along
\( A \cdot F R S \longrightarrow F D \longrightarrow C y t b_{6} \longrightarrow \) Cyt \( f \longrightarrow P C \longrightarrow \) Chl a
в. сhl a \( \rightarrow \) cyt \( b_{6} \longrightarrow \) Cyt \( f \longrightarrow \mathrm{PC} \longrightarrow \mathrm{PS} \) । \( \longrightarrow \mathrm{FRS} \longrightarrow \)
\( F D \)
c. chl a \( \rightarrow \mathrm{PQ} \longrightarrow \mathrm{cyt} b_{6} \longrightarrow \mathrm{cyt} \mathrm{f} \longrightarrow \mathrm{PC} \rightarrow \mathrm{PS} 1 \rightarrow \)
FRS \( \rightarrow \) FD
D. PQ \( \rightarrow \) Cyt \( b_{6} \rightarrow \) Cyt \( f \longrightarrow P C \longrightarrow P S 1 \longrightarrow F R S \longrightarrow F D \)
Subject: Physics
Now consider two identical infinite
cylinders, parallel to each other, posed at a distance \( d>2 a \). Find the potential
energy of the system (per unit length)
\( ^{\mathrm{A}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.25\right) \)
\( ^{\mathbf{B}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.5\right) \)
\( ^{\mathbf{C}} \cdot \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+0.75\right) \)
\( ^{\mathrm{D} \cdot} \frac{-\pi \rho^{2} a^{4}}{2 \epsilon_{0}}\left(\log \frac{d}{a}+1\right) \)