Work done in stretching a wire through
is
. What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section by
?
Text Solution
Verified by ExpertsThe correct answer is:
D
: Work done in streching a wire,
where F is the required force and
is the
elongation in the wire.

Now, the force required to stretch the wire is,

For the same material, Young's modulus is same and it is given that,
and 

or 
Using eqn (i) and (ii),

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