From the photoelectric effect experiment, following observations are made. Identify which of these are correct
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.
Choose the correct answer from the options given below:
a.
B, C only
b.
A, C, D only
c.
B only
Correct Answer
d.
A, B, D only
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Q2mcq
As shown in the figure, a network of resistors is connected to a battery of 24 Vwith an internal resistance of
3 πΊ. The currents through the resistors π $_{4}$ and π $_{5}$ are πΌ $_{4}$ and πΌ $_{5}$ respectively. The values of πΌ $_{4}$ and πΌ $_{5}$ are:
a.
πΌ $_{4}$ = $\frac{8}{5}$ Aand I $_{5}$ = $\frac{2}{5}$ A
b.
πΌ $_{4}$ = $\frac{24}{5}$ Aand πΌ $_{5}$ = $\frac{6}{5}$ A
c.
πΌ $_{4}$ = $\frac{6}{5}$ Aand πΌ $_{5}$ = $\frac{24}{5}$ A
Given below are two statements:
Statement I: The temperature of a gas is -73 $^{\circ}$C. When the gas is heated to 527 $^{\circ}$C, the root mean square
speed of the molecules is doubled.
Statement II: The product of pressure and volume of an ideal gas will be equal to translational kinetic energy
of the molecules.
In the light of the above statements, choose the correct answer from the options given below:
a.
Both Statement I and Statement II are true
b.
Statement I is true but Statement II is false
Correct Answer
c.
Both Statement I and Statement II are false
d.
Statement I is false but Statement II is true
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Q4mcq
As per given figure, a weightless pulley πis attached on a double inclined frictionless surface. The tension in
the string (massless) will be (if π= 10 m s $^{-2}$ )
a.
4$\sqrt$3 + 1 N
b.
4$\sqrt$3 + 1 N
Correct Answer
c.
4$\sqrt$3 - 1 N
d.
4$\sqrt$3 - 1 N
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Q5mcq
A travelling wave is described by the equation π¦π₯, π‘= 0 . 05sin8π₯- 4π‘ m. The velocity of the wave is:
[All the quantities are in SI unit]
a.
4 m s $^{-1}$
b.
2 m s $^{-1}$
c.
0 . 5 m s $^{-1}$
Correct Answer
d.
8 m s $^{-1}$
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Q6mcq
The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance
upto which he can throw the same ball is
a.
192 m
b.
136 m
c.
272 m
Correct Answer
d.
68 m
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Q7mcq
Given below are two statements :
Statement I : If the Brewster's angle for the light propagating from air to glass is π $_{π΅}$ , then Brewster's angle for
the light propagating from glass to air is $\frac{π}{2}$ - π $_{π΅}$ .
Statement II : The Brewster's angle for the light propagating from glass to air is tan $^{-1}$ π $_{g}$ , where π $_{g}$ is the
refractive index of glass.
In the light of the above statements, choose the correct answer from the options given below :
a.
Both Statements I and Statement II are true.
b.
Statement I is true but Statement II is false.
Correct Answer
c.
Both Statement I and Statement II are false.
d.
Statement I is false but Statement II is true.
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Q8mcq
If $^{$\rightarrow$}$ πΈand $^{$\rightarrow$}$ πΎrepresent electric field and propagation vectors of the EM waves in vacuum, then magnetic field
vector is given by:
(π- angular frequency)
$\rightarrow$ $\rightarrow$ $\rightarrow$ $\rightarrow$
A hollow cylindrical conductor has length of 3 . 14 m, while its inner and outer diameters are 4 mmand
8 mmrespectively. The resistance of the conductor is n $\times$ 10 $^{-3}$ πΊ.
If the resistivity of the material is 2 . 4 $\times$ 10 $^{-8}$ πΊ m. The value of nis _____.
✓ Accepted Answer:2
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Q10nat
In the circuit shown in the figure, the ratio of the quality factor and the band width is _____ s.
✓ Accepted Answer:10
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A hole is drilled in a metal sheet. At 27 $^{\circ}$C, the diameter of hole is 5 cm. When the sheet is heated to
177 $^{\circ}$C, the change in the diameter of hole is π$\times$ 10 $^{-3}$ cm. The value of πwill be _____, if coefficient of
linear expansion of the metal is 1 . 6 $\times$ 10 $^{-5}$ / $^{$\circ$}$ C
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A stream of a positively charged particles having $\frac{π}{π}$ = 2 $\times$ 10 $^{11}$ C kg $^{-1}$ and velocity
$^{$\rightarrow$}$ v $_{0}$ = 3 $\times$ 10 $^{7}^{^}$ π m s $^{-1}$ is deflected by an electric field 1 . 8 $^{^}$ π kV m $^{-1}$ . The electric field exists in a region
of 10 cmalong π₯direction. Due to the electric field, the deflection of the charge particles in the π¦direction is
_____ mm.
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A conducting loop of radius $\frac{10}{$\sqrt{\,}$π}$ cmis placed perpendicular to a uniform magnetic field of 0 . 5 T. The
magnetic field is decreased to zero in 0 . 5 sat a steady rate. The induced emf in the circular loop at 0 . 25 s
is:
a.
emf = 1mV
b.
emf = 10mV
c.
emf = 100mV
d.
emf = 5mV
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Two long straight wires πand πcarrying equal current 10 Aeach were kept parallel to each other at 5 cm
distance. Magnitude of magnetic force experienced by 10 cmlength of wire πis πΉ $_{1}$ . If distance between
wires is halved and currents on them are doubled, force πΉ $_{2}$ on 10 cmlength of wire πwill be:
a.
8πΉ $_{1}$
b.
10 πΉ $_{1}$
c.
$\frac{πΉ1}{8}$
d.
$\frac{πΉ1}{10}$
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Consider the following radioactive decay process:
- +
πΌ π½ πΎ πΌ π½ πΎ
$^{218}_{84}$ π΄ $\longrightarrow$π΄ $_{1}$ $\longrightarrow$π΄ $_{2}$ $\longrightarrow$π΄ $_{3}$ $\longrightarrow$π΄ $_{4}$ $\longrightarrow$π΄ $_{5}$ $\longrightarrow$π΄ $_{6}$
The mass number and the atomic number of A $_{6}$ are given by:
a.
210and 82
b.
210and 84
c.
210and 80
d.
211and 80
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Solid sphere π΄is rotating about an axis ππ. If the radius of the sphere is 5 cm, then its radius of gyration
about ππwill be $\sqrt$π₯ cm. The value of π₯is _____.
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Given below are two statements:
Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of
its cable.
Statement-II: Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her
weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below:
a.
Both Statement I and Statement II are false
b.
Statement I is true but Statement II is false
c.
Both Statement I and Statement II are true
d.
Statement I is false but Statement II is true
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A circular loop of radius π is carrying current π A. The ratio of magnetic field at the centre of circular loop
and at a distance π from the center of the loop on its axis is :
a.
1: 3$\sqrt$2
b.
3$\sqrt$2: 2
c.
2$\sqrt$2: 1
d.
1: $\sqrt$2
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As shown in the figure, a combination of a thin plano-concave lens and a thin plano-convex lens is used to
image an object placed at infinity. The radius of curvature of both the lenses is 30 cmand refraction index of
the material for both the lenses is 1 . 75. Both the lenses are placed at distance of 40 cmfrom each other. Due
to the combination, the image of the object is formed at distance x =______ cm, from concave lens.
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If two charges π $_{1}$ and π $_{2}$ are separated with distance πand placed in a medium of dielectric constant π. What
will be the equivalent distance between charges in air for the same electrostatic force?
a.
π$\sqrt$π π$\sqrt$π
c.
1 . 5π$\sqrt$π
d.
2π$\sqrt$π
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A 100 mlong wire having cross-sectional area 6 . 25 $\times$ 10 $^{-4}$ m $^{2}$ and Young's modulus is 10 $^{10}$ N m $^{-2}$ is
subjected to a load of 250 N, then the elongation in the wire will be :
a.
6 . 25 $\times$ 10 $^{-3}$ m
b.
4 $\times$ 10 $^{-4}$ m
c.
6 . 25 $\times$ 10 $^{-6}$ m
d.
4 $\times$ 10 $^{-3}$ m
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1 gof a liquid is converted to vapour at 3 $\times$ 10 $^{5}$ Papressure. If 10%of the heat supplied is used for
increasing the volume by 1600 cm $^{3}$ during this phase change, then the increase in internal energy in the
process will be :
a.
4320 J
b.
432000 J
c.
4800 J
d.
4 . 32 $\times$ 10 $^{8}$ J
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A spherical body of mass 2 kgstarting from rest acquires a kinetic energy of 10000 Jat the end of 5 $^{th}$
second. The force acted on the body is _____ N.
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Assume that protons and neutrons have equal masses. Mass of a nucleon is 1 . 6 $\times$ 10 $^{-27}$ kgand radius of
nucleus is 1 . 5 $\times$ 10 $^{-15}$ A $\frac{1}{3}$ m. The approximate ratio of the nuclear density and water density is n $\times$ 10 $^{13}$ .
The value of nis _____.
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The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 kmabove
the earth's surface is (given, radius of earth π $_{π}$ = 6400 km)
a.
9 . 8 N
b.
4 . 9 N
c.
19 . 6 N
d.
8 N
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A block of mass 2 kgis attached with two identical springs of spring constant 20 N m $^{-1}$ each. The block is
placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the
mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of
oscillation is $\frac{π}{$\sqrt{\,}$π}$ in SI unit. The value of πis______.
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Given below are two statements: one is labelled as Assertion Aand the other is labelled as Reason R.
Assertion A: Photodiodes are preferably operated in reverse bias condition for light intensity measurement.
Reason R:The current in the forward bias is more than the current in the reverse bias for a π- πjunction
diode.
In the light of the above statement, choose the correct answer from the options given below :
a.
A is false but R is true
b.
Both A and R are true but R is NOT the correct
explanation of A
c.
A is true but R is false
d.
Both A and R are true and R is the correct
explanation of A
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Vectors π $^{^}$ π+ π $^{^}$ π+ π $^{^}$ and 2 $^{^}$ π- 3 $^{^}$ π+ 4π $^{^}$ are perpendicular to each other when 3π+ 2π= 7, the ratio of πto πis
$\frac{π₯}{2}$ . The value of π₯is _____.
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In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. Vapour pressure of the solution is more than that of pure solvent
C. Only solute molecules solidify at the freezing point
D. Only solvent molecules solidify at the freezing point
a.
A and D only
b.
B and C only
c.
A and C only
d.
A only
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5 g of NaOHwas dissolved in deionized water to prepare a 450 mLstock solution. What volume (in mL)
of this solution would be required to prepare 500 mLof 0 . 1 Msolution ? Given : Molar Mass of
Na, O and H is 23, 16 and 1 g mol $^{- 1}$ respectively
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The dissociation constant of acetic is x $\times$ 10 $^{- 5}$ . When 25 mL of 0 . 2 M CH $_{3}$ COONasolution is
mixed with 25 mL of 0 . 02 M CH $_{3}$ COOHsolution, the pHof the resultant solution is found to be equal
to 5. The value of xis _______.
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When Fe $_{0 . 93}$ Ois heated in presence of oxygen, it converts to Fe $_{2}$ O $_{3}$ . The number of correct statement/s from
the following is ______ .
A. The equivalent weight of Fe $_{0 . 93}$ Ois $\frac{Molecular weight}{0 . 79}$
B. The number of moles of Fe $^{2 +}$ and Fe $^{3 +}$ in 1mole of Fe $_{0 . 93}$ Ois 0 . 79and 0 . 14respectively.
C. Fe $_{0 . 93}$ Ois metal deficient with lattice comprising of cubic closed packed arrangement of O $^{2 -}$ ions.
D. The % composition of Fe $^{2 +}$ and Fe $^{3 +}$ in Fe $_{0 . 93}$ Ois 85%and 15%respectively.
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For independent process at 300 K.
Process π₯H / kJmol $^{-1}$ π₯S / JK $^{-1}$
A -25 -80
B -22 40
C 25 -50
D 22 20
The number of non-spontaneous process from the following is _____ .
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The number of correct statement/s from the following is _____ .
A.Larger the activation energy, smaller is the value of the rate constant.
B. The higher is the activation energy, higher is the value of the temperature coefficient.
C. At lower temperatures, increase in temperature causes more change in the value of kthan at higher
temperature.
D. A plot of ln kvs $\frac{1}{T}$ is a straight line with slope equal to - $\frac{Ea}{R}$
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Match Column I with Column II
Column I Column II
A Soda ash I CaSO $_{4}$
B Chlorophyll II CaOH $_{2}$
C Used in Whitewashing III Na $_{2}$ CO $_{3}$
D Dentistry, ornamental work IV Mg $^{2 +}$ ions
a.
A - III, B - IV, C - I, D - II
b.
A - II, B - I, C - III, D - IV
c.
A - III, B - I, C - II, D - IV
d.
A - II, B - III, C - IV, D - I
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If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the
second line of this series is _______ nm. (Nearest integer)
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Assertion A: Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of
hydrolysis increases.
Reason R: I $^{-}$ is a good nucleophile as well as a good leaving group.
In the light of the above statements, choose the correct answer from the options given below.
a.
A is false but R is true
b.
A is true but R is false
c.
Both A and R are true and R is the correct
explanation of A
d.
Both A and R are true and R is not the correct
explanation of A
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Match List I with List II.
List I List II
A. Reverberatory furnace I. Pig iron
B. Electrolytic cell II. Aluminium
C. Blast furnace III. Silicon
D. Zone refining furnace IV. Copper
a.
A-IV, B-II, C-I, D-III
b.
A-I, B-IV, C-II, D-III
c.
A-I, B-III, C-II, D-IV
d.
A-III, B-IV, C-I, D-II
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At 298 K, a 1litre solution containing 10 mmolof Cr $_{2}$ O $^{2 -}_{7}$ and 100mmolof Cr $^{3 +}$ shows a pHof 3 . 0.
Given : Cr $_{2}$ O $_{7}^{2 -}$ $\rightarrow$Cr $^{3 +}$ ; E $^{0}$ = 1 . 330 Vand $\frac{2 . 303RT}{F}$ = 0 . 059 V
The potential for the half cell reaction is x $\times$ 10 $^{-3}$ V. The value of xis _____ .
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It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n'
i.e. v $^{n}$ of X-rays emitted is plotted against atomic number Z, the following graph is obtained.
The value of 'n' is
a.
1
b.
2
c.
$\frac{1}{2}$
d.
3
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Statement I: For colloidal particles, the values of colligative properties are of small order as compared to
values shown by true solutions at same concentration.
Statement II: For colloidal particles, the potential difference between the fixed layer and the diffused layer of
same charges is called the electrokinetic potential or zeta potential.
In the light of the above statements, chooses the correct answer from the options given below.
a.
Statement I is true but statement II is false
b.
Statement I is false but Statement II is true
c.
Both Statement I and Statement II are true
d.
Both Statement I and Statement II are false
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The d-electronic configuration of CoCl $_{4}^{2 -}$ in tetrahedral crystal field is e $^{m}$ t $^{n}_{2}$ . The sum of mand number of
unpaired electrons is
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Given below are two statements :
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrenaline is not the cause of depression in human.
In the light of the above statements, choose the correct answer from the options given below
(1) Both statement 1 and 2 are correct.. (2) Statement 1 is correct but statement 2 is incorrect
(3) Statement 1 is incorrect but statement 2 is correct (4) Both statement 1 and 2 are correct
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Let π$\in$βand let the equation πΈbe |π₯| $^{2}$ - 2 | π₯| + | π- 3 | = 0. Then the largest element in the set π=
{π₯+ π: π₯is an integer solution of πΈ} is ______
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Let πΌbe a root of the equation π- ππ₯ $^{2}$ + π- ππ₯+ π- π= 0where π, π, πare distinct real numbers such that
πΌ $^{2}$ πΌ1
the matrix 1 1 1 is singular. Then the value of $\frac{π- π2}{π- ππ- π}$ + $\frac{π- π2}{π- ππ- π}$ + $\frac{π- π2}{π- ππ- π}$ is
π π π
a.
6
b.
3
c.
9
d.
12
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Let πΆbe the largest circle centred at 2, 0and inscribed in the ellipse $\frac{π₯2}{36}$ + $\frac{π¦2}{16}$ = 1. If 1, πΌlies on πΆ, then 10πΌ $^{2}$ is
equal to ______
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Let πΊbe the sample space and π΄βπΊbe an event. Given below are two statements:
(S1): If π( π΄) = 0, then π΄= π
(S2): If π( π΄) =, then π΄= πΊ
Then
a.
only (S1) is true
b.
only (S2) is true
c.
both (S1) and (S2) are true
d.
both (S1) and (S2) are false
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The distance of the point -1, 9, - 16from the plane 2π₯+ 3π¦- π§= 5measure parallel to the line
$\frac{π₯+ 4}{3}$ = $\frac{2 - π¦}{4}$ = $\frac{π§- 3}{12}$ is
a.
13$\sqrt$2
b.
31
c.
26
d.
20$\sqrt$3
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The shortest distance between the lines $\frac{π₯- 2}{3}$ = $\frac{π¦+ 1}{2}$ = $\frac{π§- 6}{2}$ and $\frac{π₯- 6}{3}$ = $\frac{1 - π¦}{2}$ = $\frac{π§+ 8}{0}$ is equal to ______
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Let a tangent to the curve π¦ $^{2}$ = 24π₯meet the curve π₯π¦ = 2at the points π΄and π΅. Then the mid-
points of such line segments π΄π΅lie on a parabola with the
a.
directrix 4π₯= 3
b.
directrix 4π₯= - 3
c.
Length of latus rectum $\frac{3}{2}$
d.
Length of latus rectum 2
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A boy needs to select five courses from 12available courses, out of which 5courses are language courses. If
he can choose at most two language courses, then the number of ways he can choose five courses is
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Let a tangent to the curve 9π₯ $^{2}$ + 16π¦ $^{2}$ = 144intersect the coordinate axes at the points π΄and π΅. Then, the
minimum length of the line segment π΄π΅is ______
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Let πππ be a triangle. The pointsπ΄, π΅and πΆare on the sides ππ , π πand ππrespectively such that
$\frac{ππ΄}{π΄π }$ = $\frac{π π΅}{π΅π}$ = $\frac{ππΆ}{πΆπ}$ = $\frac{1}{2}$ . Then $\frac{Areaβπππ }{Areaβπ΄π΅πΆ}$ is equal to
a.
4
b.
1
c.
2
d.
$\frac{5}{2}$
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The number of 9digit numbers, that can be formed using all the digits of the number 123412341so that the
even digits occupy only even places, is ______
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Let πdenote the number that turns up when a fair die is rolled. If the probability that the system of equations
π₯+ π¦+ π§= 12π₯+ ππ¦+ 2π§= 23π₯+ 3π¦+ ππ§= 3
has unique solution is $\frac{π}{6}$ ,then the sum of value of πand all possible values of πis
a.
18
b.
19
c.
20
d.
21
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th
The 4 term of GP is 500and its common ratio is $\frac{1}{π}$ , π$\in$π. Let π $_{π}$ denote the sum of the first πterms of
this GP. If π $_{6}$ > π $_{5}$ + 1and π $_{7}$ < π $_{6}$ + $\frac{1}{2}$ , then the number of possible values of πis ______
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For three positive integers π, π, π, π₯ $^{ππ2}$ = π¦ $^{ππ}$ = π§ $^{π2π}$ and π= ππ+ 1such that
3, 3log $_{π¦}$ π₯, 3 log $_{π§}$ π¦, 7log $_{π₯}$ π§ are in A.P. with common difference $\frac{1}{2}$ . The π- π- π is equal to
a.
2
b.
6
c.
12
d.
-6
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