Identical springs of steel and copper

Question:

 Identical springs of steel and copper are equally stretched. On which, more work will have to be to done?

Solution:

When the identical springs of steel and copper are equally stretched, force is given as:

$W \propto \Delta l$

Because the springs are same, their length and area will also be the same

$\Delta l \propto \frac{l}{Y}$

From both the equations, we can say that

$\frac{W_{\text {steel }}}{W_{\text {copper }}}=\frac{Y_{\text {copper }}}{Y_{\text {steel }}} \Rightarrow W_{\text {steel }}

 

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