The dimensional formula for Young's modulus is

$[M L^{- 1} T^{- 2}]$

$[M^{o} L T^{- 2}]$

$[M L T^{- 2}]$

$[M L^{2} T^{- 2}]$

Solution

$[M L^{- 1} T^{- 2}]$

The formula for the Young's modulus

$Y = \frac{stress}{strain} Dimension of Y = \frac{[M L^{- 1} T^{- 2}]}{[M^{o} L^{o} T^{o}]} = [M L^{- 1} T^{- 2}]$

Young's modulus is the ratio of stress, which has units of pressure, to strain, which is dimensionless; therefore, Young's modulus has units of pressure.

Some More Questions From Mechanical Properties of Solids Chapter

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

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Mechanical Properties Of Solids

The dimensional formula for Young's modulus is

$[M L^{- 1} T^{- 2}]$

$[M^{o} L T^{- 2}]$

$[M L T^{- 2}]$

$[M L^{2} T^{- 2}]$

Some More Questions From Mechanical Properties of Solids Chapter

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Assertion: A rigid body can be elastic.
Reason: If s force is applied on the rigid, its dimensions may change.

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double slit experiment is

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Mechanical Properties Of Solids

The dimensional formula for Young's modulus is M L-1 T-2 Mo L T-2 M L T-2 M L2T-2

Some More Questions From Mechanical Properties of Solids Chapter

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

Assertion: A rigid body can be elastic.Reason: If s force is applied on the rigid, its dimensions may change.

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double slit experiment is

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The dimensional formula for Young's modulus is

$[M L^{- 1} T^{- 2}]$

$[M^{o} L T^{- 2}]$

$[M L T^{- 2}]$

$[M L^{2} T^{- 2}]$

Assertion: A rigid body can be elastic.
Reason: If s force is applied on the rigid, its dimensions may change.