## Question

### Solution

Correct option is

Dimensions of Young’s modulus Y are  The dimension of VAand F in terms of ML and T are

Putting dimensions of YVA and F. We have

Equating powers of M, L and T we have

Which give

#### SIMILAR QUESTIONS

Q1

According to the quantum theory, the energy E of a photon of frequency v is given by

Where h is Plank’s constant. What is the dimensional formula for h?

Q2

What is the SI unit of Plank’s constant?

Q3

The volume V of water passing any point of a uniform tube during tseconds is related to the cross-sectional area A of the tube and velocity uof water by the relation

Which one of the following will be true?

Q4

Which one of the following relations is dimensionally consistent where h is height to which a liquid of density ρ rises in a capillary tube of radius, rTis the surface tension of the liquid, θ the angle of contact and g the acceleration due to gravity?

Q5

The frequency n of vibrations of uniform string of length l and stretched with a force F is given by

Where p is the number of segments of the vibrating string and m is a constant of the string. What are the dimensions of m?

Q6

What is the relationship between dyne and Newton of force?

Q7

When a wave traverses a medium, the displacement of a particle located atx at time t is given by

Where ab and c are constants of the wave. Which of the following are dimensionless quantities?

Q8

The Vander Waal equation for n moles of a real gas is

Where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and ab are Vander Waal constants. The dimensions of a are the same as those of

Q9

The dimensions of permittivity (ε0) of vacuum are