A nylon rope `2 cm` in diameter has a breaking strength of `1.5 xx 10^(5) N`. The breaking strength of a similar rope `1cm` in diameter is

Options

A. `0.375xx10^(5)N`
B. `2xx10^(5)N`
C. `6xx10^(5)N`
D. `9xx10^(4)N`

Answer

A

Explanation

Breaking strength `=` Breading stress `xx(piD^(2))/4`
Breaking stress is unchanged.
`D` is halved, so breaking strength becomes one fourth i.e.,
`1/4xx1.5xx10^(5)N` or `0.975xx10^(5)N`.