If a steel wire of diameter 2 mm has a breaking strength of `4xx10^(5)N`. Then the breaking strength of similar wire of diameter 1 mm will be

Options

A. `4xx10^(5)N`
B. `2xx10^(5)N`
C. `1xx10^(5)N`
D. `0.5xx10^(5)N`

Answer

C

Explanation

Breaking strength `prop d^(2)` since the diameter reduced to half, the breaking strength reduced one-fourth.