In an experiment with sonometer when a mass of 180 gis attached to the string, it vibrates with fundamental
frequency of 30 Hz. When a mass πis attached, the string vibrates with fundamental frequency of 50 Hz.
The value of πis ______ g.
✓ Accepted Answer:500
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Q2mcq
Given below are two statements:
Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for
the emission of electrons from a metallic surface
Statement II : Above the threshold frequency, the maximum kinetic energy of photoelectrons is inversely
proportional to the frequency of the incident light
In the light of above statements, choose the correct answer from the options given below
a.
Statement I is false but Statement II is true
b.
Statement I is true but Statement II is false
Correct Answer
c.
Both Statement I and Statement II are true
d.
Both Statement I and Statement II are false
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Q3nat
In the circuit shown, the energy stored in the capacitor is π $\mu$J. The value of πis _____.
✓ Accepted Answer:75
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Q4mcq
The output from a NAND gate having inputs A and B given below will be,
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Q5nat
A light rope is wound around a hollow cylinder of mass 5 kgand radius 70 cm. The rope is pulled with a
force of 52 . 5 N. The angular acceleration of the cylinder will be _____ rad s $^{-2}$ .
✓ Accepted Answer:15
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Q6mcq
In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z-
axis and magnetic field is along the positive x-axis. Then the direction of propagation of electromagnetic wave
is:
a.
positive z-axis
b.
positive y-axis
c.
at 45$^{\circ}$angle from positive y -axis
d.
negative y-axis
Correct Answer
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Q7mcq
An electron is moving along the positive x-axis. If uniform magnetic field is applied parallel to the negative z-
axis, then
A.The electron will experience magnetic force along positive y-axis
B.The electron will experience magnetic force along negative y-axis
C.The electron will not experience any force in magnetic field
D.The electron will continue to move along the positive x-axis
E.The electron will move along circular path in magnetic field
Choose the correct answer from the option given below:
a.
A and E only
b.
C and D only
c.
B and E only
Correct Answer
d.
B and D only
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Q8mcq
A 10 πC charge is divided into two parts and placed at 1 cmdistance so that the repulsive force between
them is maximum. The charges of the two parts are:
a.
7πC, 3πC
b.
8πC, 2πC
c.
5πC, 5πC
Correct Answer
d.
9πC, 1πC
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Q9mcq
In the equation π+ $_{π2}$ [π- π] = π π, π is pressure, π is volume, π is universal gas constant and πis
temperature. The physical quantity equivalent to the ratio $\frac{π}{π}$ is:
a.
Pressure gradient
b.
Energy
Correct Answer
c.
Impulse
d.
Coefficient of viscosity
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Q10nat
Three point charges π, - 2πand 2πare placed on π₯axis at a distance π₯= 0, π₯= $\frac{3}{4}$ π and π₯= π respectively
from origin as shown. If π= 2 $\times$ 10 $^{-6}$ Cand π = 2 cm, the magnitude of net force experienced by the charge
-2πis _____ N.
✓ Accepted Answer:5440
No explanation saved for this question yet.
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Given below are two statements: one is labelled as Assertion Aand the other is labelled as Reason R
Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of
mass number in the range 30to 170.
Reason R : Nuclear force is short ranged.
In the light of the above statements, choose the correctanswer from the options given below
a.
A is false but Ris true
b.
Both Aand R are true and Ris the correct
explanation of A
c.
Both A and Rare true but Ris NOTthe correct
explanation of A
d.
Ais true but Ris false.
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Given below are two statements:
Statement I :For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the
planet also increase.
Statement II :Escape velocity is independent of the radius of the planet.
In the light of above statements, choose the most appropriateanswer from the options given below
(1) Statement I is incorrect but Statement II is correct (2) Statement I is correct but statement II is incorrect
(3) Both Statement I and Statement II are incorrect (4) Both Statement I and Statement II are correct
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The mean free path of molecules of a certain gas at STP is 1500π, where π is the diameter of the gas
molecules. While maintaining the standard pressure, the mean free path of the molecules at 373 πΎis
approximately:
a.
750π
b.
1098π
c.
2049π
d.
1500π
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A passenger sitting in a train A moving at 90 km h $^{-1}$ observes another train B moving in the opposite
direction for 8 s. If the velocity of the train B is 54 km h $^{-1}$ , then length of train B is:
a.
120 m 320 m
c.
80 m 200 m
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Given below are two statements: one is labelled as
Assertion Aand the other is labelled as Reason R
Assertion A: A spherical body of radius ( 5 $\pm$ 0 . 1 ) mmhaving a particular density is falling through a
liquid of constant density. The percentage error in the calculation of its terminal velocity is 4%.
Reason R: The terminal velocity of the spherical body falling through the liquid is inversely proportional to its
radius. In the light of the above statements, choose the correct answer from the options given below
a.
Both A and R are true and R is the correct
explanation of A
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.
A is false but R is true
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A straight wire AB of mass 40 gand length 50 cmis suspended by a pair of flexible leads in uniform
magnetic field of magnitude 0 . 40 Tas shown in the figure. The magnitude of the current required in the wire
to remove the tension in the supporting leads is _____ A. (Take π= 10 m s $^{-2}$ .
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An insulated copper wire of 100turns is wrapped around a wooden cylindrical core of the cross-sectional area
24 cm $^{2}$ . The two ends of the wire are connected to a resistor. The total resistance in the circuit is 12 $\Omega$. If an
externally applied uniform magnetic field in the core along its axis changes from 1 . 5 Tin one direction to
1 . 5 Tin the opposite direction, the charge flowing through a point in the circuit during the change of
magnetic field will be _____ mC.
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A bi convex lens of focal length 10 cmis cut in two identical parts along a plane perpendicular to the
principal axis. The power of each lens after cut is _____ D.
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The initial pressure and volume of an ideal gas areπ $_{0}$ and π $_{0}$ . The final pressure of the gas when the gas is
suddenly compressed to volume $\frac{π0}{4}$ will be:
(Given πΎ= ratio of specific heats at constant pressure and at constant volume.)
a.
π $_{0}$ ( 4 ) $^{πΎ}$ 4π $_{0}$
c.
π $_{0}$
d.
π $_{0}$ ( 4 ) $\frac{1}{πΎ}$
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In a Youngβs double slit experiment, the ratio of amplitude of light coming from slits is 2 : 1. The ratio of
the maximum to minimum intensity in the interference pattern is
a.
9 : 4 25 : 9
c.
2 : 1 9 : 1
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Two planets A and B of radii π and 1 . 5 π have densities πand $\frac{π}{2}$ respectively. The ratio of acceleration due to
gravity at the surface of B to A is:
a.
2 : 3 2 : 1
c.
3 : 4 4 : 3
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An atom absorbs a photon of wavelength 500 nmand emits another photon of wavelength 600 nm. The net
energy absorbed by the atom in this process is π$\times$ 10 $^{-4}$ eV. The value ofπ is [Assume the atom to be
stationary during the absorption and emission process] (Take β= 6 . 6 $\times$ 10 $^{-34}$ J sand π= 3 $\times$ 10 $^{8}$ m s $^{-1}$ ).
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Two plates A and B have thermal conductivities 84 W m $^{-1}$ K $^{-1}$ and 126 W m $^{-1}$ K $^{-1}$ respectively. They
have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures
of the outer surfaces of A and B are kept at 100 $^{$\circ$}$ Cand 0 $^{$\circ$}$ Crespectively, then the temperature of the surface of
contact in steady state is_____ $^{$\circ$}$ C.
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Given below are two statements:
Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-
zero power factor. In the light of above statements, choose the correct answer from the options given below:
a.
Statement I is false but statement II is true
b.
Statement I is true but statement II is false
c.
Both Statement I and Statement II are false
d.
Both Statement I and Statement II are true
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A vehicle of mass 200 kgis moving along a levelled curved road of radius 70 mwith angular velocity of
0 . 2 rad s $^{-1}$ . The centripetal force acting on the vehicle is:
a.
560 N 2800 N
c.
2240 N 14 N
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A car accelerates from rest of π’ m s $^{-1}$ . The energy spent in this process is πΈ J. The energy required to
accelerate the car from π’ m s $^{-1}$ to 2π’ m s $^{-1}$ is ππΈ J. The value of πis _____.
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See the following chemical reaction:
Cr $_{2}$ O $^{2 -}_{7}$ + XH $^{+}$ + 6Fe $^{2 +}$ $\rightarrow$YCr $^{3 +}$ + 6Fe $^{3 +}$ + ZH $_{2}$ O
The sum of X, Y and Z is
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Which of the following are the Green house gases?
A. Water vapour
B.Ozone
C.I $_{2}$
D.Molecular hydrogen
Choose the most appropriate answer from the options given below :
a.
A and D only
b.
B and C only
c.
A and B only
d.
C and D only
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Given below are two statements related to Ellingham diagram :
Statement I : Ellingham diagrams can be constructed for formation of oxides, sulphides and halides of metals.
Statement II : It consists of plots of $\Delta$H$^{\circ}$vs Tfor formation of oxides of elements.
In the light of the above statements, choose the most appropriate answer from the options given below :
(1) Both Statement I and Statement II are correct (2) Both Statement I and Statement II are incorrect
(3) Statement I is correct but Statement II is incorrect(4) Statement I is incorrect but Statement II is correct
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Match List-I with List-II.
1-Bromopropane is reacted with reagents in List-I to give product in List-II
List-I Reagent List-II Product
A. KOH (alc) I. Nitrile
B. KCN (alc) II. Ester
C. AgNO2 III. Alkene
D H3CCOOAg IV. Nitroalkane
Choose the correct answer from the options given below
a.
A-III, B-I, C-IV, D-II
b.
A-I, B-II, C-III, D-IV
c.
A-I, B-III, C-IV, D-II
d.
A-IV, B-III, C-II, D-I
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Order of acidic nature of the following compounds is A > B > C.
Reason R: Fluoro is a stronger electron withdrawing group than Chloro 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.
Both A and R are correct and R is the correct
explanation of A
c.
A is true but R is false
d.
Both A and R are correct but R is NOT the
correct explanation of A
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0 . 400 gof an organic compound ( X ) gave 0 . 376 gof AgBrin Carius method for estimation of bromine.
% of bromine in the compound ( π) is (Given: Molar mass AgBr = 188 g mol $^{-1}$ Br = 80 g mol $^{-1}$
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The diameter of colloidal particles in solution should not be much smaller than wavelength of
light to show Tyndall effect.
Reason R : The light scatters in all directions when the size of particles is large enough.
In the light of the above statements, choose the correct answer from the options given below :
a.
Both A and R are correct but R is NOT the
correct explanation of A
b.
A is true but R is false
c.
A is false but R is true
d.
Both A and R are correct and R is the correct
explanation of A
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At 298 K, the standard reduction potential for Cu $^{2 +}$ / Cuelectrode is 0 . 34 V. Given :
K $_{sp}$ Cu(OH ) $_{2}$ = 1 $\times$ 10 $^{-20}$ Take $\frac{2 . 303RT}{F}$ = 0 . 059 VThe reduction potential at pH = 14for the above couple
is ( - )π₯$\times$ 10 $^{-2}$ V. The value of x is
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Given below are two statements :
Statement I : Tropolone is an aromatic compound and has 8πelectrons.
Statement II : πelectrons of > C = Ogroup in tropolone is involved in aromaticity. In the light of the above
statements choose 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 false
d.
Both Statement I and Statement II are true
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1 gof a carbonate M $_{2}$ CO $_{3}$ on treatment with excess HClproduces 0 . 01 molof CO $_{2}$ . The molar mass of
M $_{2}$ CO $_{3}$ is gmol $^{-1}$ . (Nearest integer)
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Sea water contains 29 . 25 % NaCland 19 % MgCl $_{2}$ by weight of solution. The normal boiling point of the sea
water is $^{$\circ$}$ C(Nearest integer) Assume 100%ionization for both NaCland MgCl $_{2}$ Given:
K $_{b}$ H $_{2}$ O = 0 . 52 K kg mol $^{-1}$ Molar mass of NaCland MgCl $_{2}$ is 58 . 5and 95 g mol $^{-1}$ respectively.
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A ( g ) $\rightarrow$2 B ( g ) + C ( g )is a first order reaction. The initial pressure of the system was found to be
800 mm Hgwhich increased to 1600 mm Hgafter 10 min. The total pressure of the system after 30
min will be mm Hg. (Nearest integer)
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Match Lis-I with List-II.
List-1 List-II
Hexamethylenediamine
A. Weak intermolecular forces of attraction I.
+ adipic acid
B. Hydrogen bonding II. AlEt $_{3}$ + TiCl $_{4}$
C. Heavily branched polymer III.2 - chloro - 1, 3 - butadiene
D. High density polymer IV. Phenol + formaldehyde
Choose the correct answer from the options given below
a.
A-IV, B-II, C-III, D-I
b.
A-IV, B-I, C-III, D-II
c.
A-II, B-IV, C-I, D-III
d.
A-III, B-I, C-IV, D-II
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Given below are two statements :
Statement I : SO $_{2}$ and H $_{2}$ Oboth possess V-shaped structure
Statement II : The bond angle of SO $_{2}$ is less than that of H $_{2}$ O.
In the light of the above statements, choose the most appropriate answer from the options given below:
(1) Both Statement I and Statement II are incorrect (2) Both Statement I and Statement II are correct
(3) Statement I is incorrect but Statement II is correct(4) Statement I is correct but Statement II is incorrect
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Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4 Γ . The radius of
sodium atom is ___ $\times$ 10 $^{-1}$ Γ . (Nearest integer)
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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Isotopes of hydrogen have almost same chemical properties, but difference in their rates of
reactions.
Reason R: Isotopes of hydrogen have different enthalpy of bond dissociation.
In the light of the above statements, choose the most appropriate answer from the options given below:
a.
Both A and R are correct but R is NOT the
correct explanation of A
b.
Both A and R are correct and R is the correct
explanation of A
c.
A is not correct but R is correct
d.
A is correct but R is not correct
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The plane, passing through the points ( 0, - 1, 2 ) and ( - 1, 2, 1 ) and parallel to the line passing
through ( 5, 1, - 7 ) and ( 1, - 1, - 1 ) , also passes through the point
a.
-2, 5, 0 1, - 2, 1
c.
2, 0, 1 0, 5, - 2
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Let π΄= { - 4, - 3, - 2, 0, 1, 3, 4}and π = { ( π, π) $\in$π΄$\times$ π΄: π= | π|or π $^{2}$ = π+ 1be a relation on π΄. Then
the minimum number of elements, that must be added to the relation π so that it becomes reflexive and
symmetric, is
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Let π $_{1}$ , π $_{2}$ , π $_{3}$ , β¦. be a G.P. of increasing positive numbers. Let the sum of its 6 $^{th}$ and 8 $^{th}$ terms be 2and the
product of its 3 $^{rd}$ and 5 $^{th}$ terms be $\frac{1}{9}$ . Then 6π $_{2}$ + π $_{4}$ π $_{4}$ + π $_{6}$ is equal to
a.
3
b.
3$\sqrt$3
c.
2
d.
2$\sqrt$2
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Let πbe the foot of perpendicular from the pointπ( 1, - 2, 3 ) on the line passing through the points
( 4, 5, 8 )and ( 1, - 7, 5 ). Then the distance of πfrom the plane 2π₯- 2π¦+ π§+ 5 = 0is
a.
8
b.
6
c.
9
d.
7
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The random variable πfollows binomial distribution π΅( π, π), for which the difference of the mean and the
variance is 1.
If 2 π( π= 2 ) = 3 π( π= 1 ), then π $^{2}$ π( π> 1 )is equal to
a.
15
b.
11
c.
12
d.
16
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Let the centre of a circle πΆbe πΌ, π½and its radius π < 8. Let 3π₯+ 4π¦= 24and 3π₯- 4π¦= 32be two
tangents and 4π₯+ 3π¦= 1be a normal to πΆ. Then ( πΌ - π½+ π)is equal to
a.
7
b.
5
c.
6
d.
9
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If the system of equations
2π₯+ π¦- π§= 5
2π₯- 5π¦+ ππ§= π
π₯+ 2π¦- 5π§= 7
has infinitely many solutions, then( π+ π) $^{2}$ + ( π- π) $^{2}$ is equal to
a.
904
b.
916
c.
912
d.
920
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The mean and standard deviation of the marks of 10students were found to be 50and 12respectively. Later, it
was observed that two marks 20and 25were wrongly read as 45and 50respectively. Then the correct
variance is
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ππ₯π $^{-ππ₯}$
If lim $_{π₯$\rightarrow$0}\frac{πππ₯- cos(ππ₯)-2}{1 - cos ( 2π₯)}$ = 17, then 5π $^{2}$ + π $^{2}$ is equal to
a.
64
b.
72
c.
68
d.
76
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The foci of a hyperbola are ( $\pm$ 2, 0 )and its eccentricity is $\frac{3}{2}$ . A tangent, perpendicular to the line
2π₯+ 3π¦= 6, is drawn at a point in the first quadrant on the hyperbola. If the intercepts made by the tangent on
the π₯- and π¦-axes are πand πrespectively, then |6π| + | 5π|is equal to
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Let ( πΌ, π½)be the centroid of the triangle formed by the lines 15π₯- π¦= 82, 6π₯- 5π¦= - 4and 9π₯+ 4π¦= 17
. Then πΌ+ 2π½and 2πΌ- π½are the roots of the equation
a.
π₯ $^{2}$ - 7π₯+ 12 = 0
b.
π₯ $^{2}$ - 14π₯+ 48 = 0
c.
π₯ $^{2}$ - 13π₯+ 42 = 0
d.
π₯ $^{2}$ - 10π₯+ 25 = 0
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All words, with or without meaning, are made using all the letters of the word ππππ·π΄π. These words are
written as in a dictionary with serial numbers. The serial number of the word ππππ·π΄πis
a.
327
b.
328
c.
324
d.
326
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