IIT JEE -PHYSICS

General Physics

SECTION – I

Fill in the Blanks

.

01Plank’s Constant has dimensions……

Problem 1985

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02In the formula X = 3YZ2, X and Z have dimensions of capacitance andmagnetic induction respectively. The dimensions of Y in MKSQ systemare ………………

Problem 1988

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03The dimensions of electrical conductivity is ………………………

Problem 1997

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04The equation of state of a real gas is given by

where P, V and T are pressure, volume and temperature respectively and R is the universal gas constant. The dimensions of the constant a in the above equation is…………

Problem

2

aP V b RT

V

1997

SECTION – II

OBJECTIVE QUESTIONSOnly one option is correct

.

01

In the formula X = 3YZ2, X and Z have dimensions of capacitance and

magnetic induction respectively. What are the dimensions of Y in

MKSQ system ?

Problem 1995

-3 -1 3 4

-3 -2 4 4

-2 -2 4 4

-3 -2 4 1

.

.

.

.

a M L T Q

b M L T Q

c M L T Q

d M L T Q

.

02

The dimensions of permittivity of free space; E:electric field )

is :

a. [MLT –1]

b. [ML2T-2]

c. [MLT-2]

d. [ML2T-1]

Problem 2000

21( :

2o oE

.

03

A quantity X is given by , where is the Permittivity of free space,

L is a length, ∆V is a potential different and ∆t is a time interval. The

dimensional formula for X is the same as that of :

a. Resistance

b. Charge

c. Voltage

d. Current

Problem 2001

o

VL

t

.

04

A cube has a side of length 1.2 x 10-2m. Calculate its volume:

1.7 x 10-6 m3

1.73 x 10-6 m3

1.70 x 10-6 m3

1.732 x 10-6 m3

Problem 2003

.

05

In the relation;

P is pressure, Z is distance, k is Boltzmann constant and θ is the

temperature. The dimensional formula of β will be :

a. [M0L2T0]

b. [M1L2T1]

c. [M1L0T-1]

d. [M0L2T-1]

Problem 2004

0

aZ

kp e

.

06

A wire has a mass (0.3 0.003)g, radius (0.5 0.005)mm and length (6

0.06)cm. The maximum percentage error in the measurement of its

density is:

a. 1

b. 2

c. 3

d. 4

Problem 2004

.

07

Which of the following sets have different dimensions?

a. Pressure, young’s modulus, stress

b. Emf, potential difference, Electric Potential

c. Heat, Work done, Energy

d. Dipole moment, Electric flux, Electric field

Problem 2005

.

08

A student performs an experiment for determination of

and he commits an error of ∆l. For T he takes the time of n oscillation

with of least count ∆T and he commits a human error of 0.1s.For which of

the following data, the measurement of g will be most accurate?

a. ∆L=0.5, ∆T=0.1, n=20

b. ∆L=0.5, ∆T=0.1, n=50

c. ∆L=0.5, ∆T=0.01, n=20

d. ∆L=0.1, ∆T=0.05, n=50

Problem 2006

2

2

4, 1

lg l m

T

.

09

The circular scale of a screw gauge has 50 division and pitch of

0.5mm.find the diameter of sphere. Main scale reading is 2.

a. 1.2

b. 1.25

c. 2.20

d. 2.25

Problem 2006

SECTION – III

OBJECTIVE QUESTIONSMore than one options are correct

.

01

L,C and R represent the physical quantities inductance, capacitance and

resistance respectively. The combinations which have dimensions of

frequency are:

a. 1/RC

b. R/L

c. 1/√LC

d. C/L

Problem 1984

.

02

The dimensions of the quantities in one (or more)of the following pairs

are the same. Identify the pair(s):

a. Torque and work

b. Angular momentum and work

c. Energy and Young’s modulus

d. Light year and wavelength

Problem 1986

.

03

The pairs of physical quantities that have the same dimensions in (are):

a. Reynolds number and coefficient of friction

b. Curie and frequency of a light wave

c. Latent heat and gravitational potential

d. Planck’s constant and torque

Problem 1995

.

04

Let [ε0] denote the dimensional formula of the permittivity of the

vacuum and[μ0] that of the permittivity of the vacuum. If M=mass,

L=length, T=time and I=electric current:

a. [ε0]= [M-1 L-3 T2]

b. [ε0] =[M-1 L-3 T4 I2]

c. [μ0]= [MLT-2 I-2]

d. [μ0]= [ML2 T-1 I]

Problem 1998

.

05

The SI unit of the inductance, the henry can by written as:

a. Weber/ampere

b. Volt-second/ampere

c. Joule/(ampere)2

d. Ohm-second

Problem 1998

SECTION – IV

SUBJECTIVE QUESTIONS

.

01

Give the MKS units for each of the following quantities:

Young’s modulus

Magnetic induction

Power of a lens

Problem 1980

.

02

A gas bubble, from an explosion under water, oscillates with a period T

proportional to Pa db Ec where P is the static pressure, d is the density of

water and E is the total energy of the explosion. Find the values of a, b

and c.

Problem 1981

03

Write the dimensions of the following in terms of mass, time, length and

charge:

Magnetic flux

Rigidity modulus

Problem 1982

04

Column-1 gives three physical quantities. Select the appropriate units for

the choices given in column –II. Some of the physical quantities may have

more than one choice

Column –I Column - II

Capacitance Ohm-second

Inductance coulomb2-joule-1

Magnetic induction Coulomb(volt)-1, Newton(amperemetre)-1,

volt-second(ampere)-1

Problem 1990

05

Match the physical quantities given in column I with dimensions

expressed in terms of mass (M) length (L) time (T), and charge (Q) given

in column II and write the correct answer against the matched quantity in

a tabular form in your answer book.

I II

Angular momentum [ML2T-2]

Latent heat [ML2Q-2]

Torque [ML2T-1]

Capacitance [ML3T-1Q-2]

Inductance [M-1L-2T2Q2]

Resistivity [L2T-2]

Problem 1993

06

N division on the main scale of a vernier calipers coincide with N+1

divisions on the vernier scale. If each division on the main is of a units,

determine the least count of instrument.

Problem 2003

07

In a searle’s experiment, the diameter of the wire as measured by a

screw gauge of least count. 0.001 cm is 0.050cm. the length, measured

by a scale of least count 0.1cm , is 110.0cm.when a weight of 50Nis

suspended from the wire, the extension is measured to be 0.125cm by a

micrometer of least count 0.001cm. find the maximum error in the k

measurement of young's modulus of the material of the wire from these

data.

Problem 2004

08

The pitch of a screw gauge is 1mm and there are 100divisions on the

circular scale. While measuring the diameter of a wire, the linear scale

reads 1mm and 47th division on the circular scale coincides with the

reference line. The length of the wire is 5.6cm. find the curved surface

area(in cm2) of the wire in appropriate number of significant figures.

Problem 2004

09

The edge of a cube is measured using a vernier caliper. [9 divisions of the

main scale is equal to 10 divisions of vernier scale and 1 main scale

division is 1 mm]. The main scale division reading is 10 and 1 division of

vernier scale was found to be coinciding with the main scale. The mass

of the cube is 2.736g. calculate the density in g/cm3 upto correct

significant figures.

Problem 2004