A spring of force constant k is cut into four equal parts. The force constant of each part will be

Options

A. k
B. 4 k
C. `k//4`
D. 16 k

Answer

B

Explanation

Let k be the force constant for each piece.
`(1)/(k_(s))=(1)/(k)+(1)/(k)+(1)/(k)+(1)/(k)`
`therefore (1)/(k_(s))=(4)/(k) therefore k_(s)=4k`