Two springs of spring constant `k_(1)" and "k_(2)` are joined in series. Hence its equivalent spring constant of the combination is…………

Options

A. `(k_(1)k_(2))/(k_(1)+k_(2))`
B. `k_(1)k_(2)`
C. `(k_(1)k_(2))/(2)`
D. `k_(1)+k_(2)`

Answer

A

Explanation

For series combination, effective force is constant,
`(1)/(k_(eq))= (1)/(k_1) +(1)/(k_2)`
`implies k_(eq)= (k_(1)k_(2))/(k_(1)+k_(2))`.