NEET Physics Question - Thermal Physics

Assertion (A): A temperature change which increases the length of a steel rod by ( 1% ) will increase its volume by ( 3% ).

Reason (R): The coefficient of volume expansion is nearly three times the coefficient of linear expansion.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

Assertion (A) is true. If \( \frac{\Delta L}{L_0} = \alpha \Delta T = 0.01 \), then \( \frac{\Delta V}{V_0} = \gamma \Delta T \). Reason (R) is true, stating \( \gamma \approx 3\alpha \). Substituting, \( \frac{\Delta V}{V_0} \approx 3 (\alpha \Delta T) = 3(0.01) = 0.03 \), or ( 3% ). Thus, both are true and (R) correctly explains (A).

Rankers Physics

Thermal Expansion of Steel

Solution:

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