Assertion: If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. Reason: Potential energy stored in the wire is $ \frac{1}{2} $ (stress) $ \times $ (strain).

Question

Assertion: If a wire is stretched, only half of the work done in stretching the wire remains stored as elastic potential energy. Reason: Potential energy stored in the wire is $ \frac{1}{2} $ (stress) $ \times $ (strain)., Both Assertion and Reason are true and Reason is the correct explanation of Assertion., Both Assertion and Reason are true but Reason is not the correct explanation of Assertion., If Assertion is true but Reason is false., If Assertion is false but Reason is true.

MARKS App · Accepted Answer

Potential energy, U = 1 2 stress × strain × volume ⇒ U = 1 2 F A ∆ l l A l ⇒ U = 1 2 F ∆ l , Work done, W = F × displacement ⇒ W = F × ∆ l , So, half of the work done in stretching the wire remains stored as elastic potential energy.

Search any question & find its solution

Looking for more such questions to practice?