A wire of length `L` and radius `r` is fixed at one end. When a stretching force `F` is applied at free end, the elongation in the wire is `l`. When another wire of same material but of length `2L` and radius `2r`, also fixed at one end is stretched by a force `2F` applied at free end, then elongation in the second wire will beA. `l`B. `2l`C. `(l)/(2)`D. `(l)/(4)`

A wire of length `L` and radius `r` is fixed at one end. When a stretc

1.	A wire of length `L` and radius `r` is fixed at one end. When a stretching force `F` is applied at free end, the elongation in the wire is `l`. When another wire of same material but of length `2L` and radius `2r`, also fixed at one end is stretched by a force `2F` applied at free end, then elongation in the second wire will beA. `l`B. `2l`C. `(l)/(2)`D. `(l)/(4)`
Answer» Correct Answer - A `l=(FL)/(AY)=(FL)/(pir^2Y)` `because` `lprop(FL)/(r^2)` `(l_2)/(l_1)=(F_2)/(F_1)xx(L_2)/(L_1)((r_1)/(r_2))^2=2xx2xx((1)/(2))^2=1` `l_2=l_1` i.e., increment in its length will be `l`.

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