A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion - One end of the rod is fixed and other end is free- If the temperature of the rod is increased by - T- then

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Byju's Answer

Standard VII

Physics

Young's Modulus of Elasticity

A circular ro...

Question

A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion $α$ . One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $Δ T$ , then

stress developed in the rod is

E α Δ T

and strain developed in the road is

α Δ T

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both stress and strain developed in the rod are zero

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stress developed in the rod is zero and strain developed in the rod is

α Δ T

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stress developed in the rod is

E α Δ T

and strain developed in the rod is zero.

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Solution

The correct option is C stress developed in the rod is zero and strain developed in the rod is $α Δ T$
For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.

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A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion α. One end of the rod is fixed and other end is free. If the temperature of the rod is increased by ΔT, then

The correct option is C stress developed in the rod is zero and strain developed in the rod is αΔT For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.

A circular rod of length L and area of cross-section A has a modulus of elasticity E and coefficient of thermal expansion $α$ . One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $Δ T$ , then

The correct option is C stress developed in the rod is zero and strain developed in the rod is $α Δ T$
For thermal stress to be developed, there must be constraint in the system. So, although strain develops but there is no thermal stress.