Elasticity and Work Done in Springs – Rankers Physics
Topic: Solid and Fluids
Subtopic: Solids

Elasticity and Work Done in Springs

Assertion (A): Identical springs of steel and copper are equally stretched. More work will be done on the steel spring.
Reason (R): Steel is more elastic than copper.
 
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. Work done to stretch a spring is \(W = \frac{1}{2} k x^2\). Steel has a higher Young's modulus than copper, implying a higher spring constant \(k\) for identical dimensions.


Thus, more work is done on the steel spring.


Reason (R) is true. Steel is indeed more elastic than copper (possesses a higher Young's modulus).


Reason (R) correctly explains Assertion (A).

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