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Important questions on Dimensions And Dimensional Analysis

Dimension of work done is

A

B

C

D

View Answer

We know that 
Work done = Force Displacement 

The dimensions of a modulus of elasticity are:

A

[]

B

[]

C

[]

D

[]

View Answer

Young modulus,

Hence, Dimension is .

Specific gravity has ___ dimensions in mass, ___ dimensions in length and ___ dimensions in time.

A

0, 0, 0

B

0, 1, 0

C

1, 0, 0

D

1, 1, 3

View Answer

Specific gravity is the ratio of density of substance and density of water at . Hence it is the ratio of like quantities, therefore dimensionless.

Dimensional formula for pressure head is 

A

B

C

D

View Answer



But,

Then,



Now,

Of the following pairs of physical quantities, which one is dimensionally odd?

A

Stress and pressure

B

Energy and work

C

Young's modulus and stress

D

Frequency and angle

View Answer

All other pair have same dimensions while frequency and angle have different dimensions. The dimension of frequency is while angle is a dimensionless quantity.

are the dimension for________.

A

Pressure

B

Power

C

Force

D

Work

View Answer



So, correct answer is option (A).

The fundamental unit which has the same power in the dimensional formula of surface tension and coefficient of viscosity is:

A

mass

B

length

C

time

D

none

View Answer

Surface tension
Coeff of viscosity
Hence, mass has the same power.

Linear momentum and angular momentum have the same dimensions in:

A

mass and length

B

length and time

C

mass and time

D

mass, length and time

View Answer

Linear momentum
Angular momentum
Hence, linear and angular momenta have same dimensions in mass and time.

The dimensional formula of area is ?

View Answer

The dimensional formula of area is as its unit is .

Which of the following quantities has a unit but dimensionless?

A

Strain

B

Reynolds number

C

Angular displacement

D

Poisson's ratio

View Answer

Angular displacement has unit (degree or radian) but it is dimensionless as it is the ratio of like quantities

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