Assertion and Reason: Read the assertion and reason carefully to mark the correct option out of the option given below (A) If both assertion and reason are true and reason is the correct explanation of the assertion. (B) If both assertion and reason are true but reason is not the correct explanation of the assertion. (C) If assertion is true but reason is false. (D) If assertion and reason both are false. Assertion: Identical spring of steel and copper are equally stretched more will be done on the steel spring. Reason: Steel is more elastic than copper. (A) a (B) \(\mathrm{b}\) (C) \(c\) (D) d

The assertion states that more work will be done on the steel spring when identical springs of steel and copper are equally stretched. Remember that work is related to both force and distance (or stretch), and considering Hooke's law, which states that the force exerted by a spring (F) is proportional to its elongation or compression (x): \(F = -kx\), where k is the spring constant. Because steel has a higher spring constant than copper, more force is required to stretch an identical steel spring the same amount as a copper spring. This leads to more work being done on the steel spring. So, the assertion is true. The reason given is that steel is more elastic than copper. Elasticity refers to a material's ability to return to its original shape after being deformed. Because steel is more elastic than copper, it takes more energy to stretch a steel spring as compared to an identical copper spring. So, the reason is also true.

Now, we need to evaluate whether the reason provided (steel is more elastic than copper) is the correct explanation for the assertion (more work is done on the steel spring). The fact that steel is more elastic means that it takes more force to deform it, and consequently, more work is involved in stretching it as compared to a copper spring. Therefore, the reason is indeed the correct explanation of the assertion.

Since both the assertion and the reason are true, and the reason is the correct explanation of the assertion, the right answer is: (A) If both assertion and reason are true and reason is the correct explanation of the assertion.