Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A spring with spring constant k is extended from 
to 
. The work done will be
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: The work done on a spring when it is extended from its initial length $x_1$ to its final length $x_2$ is given by the formula:
$$ W = \frac{1}{2} k (x_2^2 - x_1^2) $$
Step 2: Let the initial length be $x_1$ and the final length be $x_2$.
Step 3: We substitute $x_1$ and $x_2$ into the formula.
Step 4: The correct answer corresponds to the expression derived from the above formula, which matches Option A.
$$ W = \frac{1}{2} k (x_2^2 - x_1^2) $$
Step 2: Let the initial length be $x_1$ and the final length be $x_2$.
Step 3: We substitute $x_1$ and $x_2$ into the formula.
Step 4: The correct answer corresponds to the expression derived from the above formula, which matches Option A.
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