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Mass vs Weight

A bar is comp...

Question

A bar is compressed to half of its original length, The magnitude of true strain produced in the deformed bar is_____ (correct to two decimal places).
0.693

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Solution

The correct option is A 0.693
$L_{0} \to I n i t i a l l e n g t h$

$L = \frac{L_{0}}{2} \to F i n a l l e n g t h$

$T r u e s t r a i n, ϵ_{T} = l n \frac{L}{L_{0}} = l n ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{(\frac{L_{0}}{2})}{L_{0}} ⎞ ⎟ ⎟ ⎟ ⎟ ⎠$

$= l n \frac{1}{2} = - 0.693$

As examiner mentioned "magnitude" only magnitude will be given 0.693.

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