Question

A weightless spring which has a force constant oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2m is suspended from it. The frequency of oscillation will now become

• A. $n$
• B. $2 n$
• C. $n / \sqrt { 2 }$
• D. $n ( 2 ) ^ { 1 / 2 }$

Answer 1

Answer: (A)

$n$

Answer 2

$n = \frac { 1 } { 2 \pi } \sqrt { \frac { k } { m } }$ ⇒ $\frac { n } { n ^ { \prime } } = \sqrt { \frac { k } { m } \times \frac { m ^ { \prime } } { K ^ { \prime } } }$ $n ^ { \prime } = n$