A spring obeys Hooke's law. When loaded with 12 g its extension is 2 cm Which of the following will produce a 3 cm extension if `g=10m//s^(2)`?

Options

A. `12xx(3//2)xxg`
B. `12xx(2//3)xxg`
C. A force of `1.8` N
D. A force of `0.12` N

Answer

A

Explanation

According to Hooke's law:
`F propl`
Ist case: `12g prop2`
II nd case: `F' prop 3`
`:.(F')/(12g)=3/2`
`F'=3/2xx12g`