A simple harmonic oscillator consist of a particle of mass m and an ideal spring with spring constant k. The particle oscillates with a time period T. The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be...........

A simple harmonic oscillator consist of a particle of mass m and an id

1.	A simple harmonic oscillator consist of a particle of mass m and an ideal spring with spring constant k. The particle oscillates with a time period T. The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be...........
Answer» `T//2` `(T)/(sqrt(2))` `sqrt(2)T` 2T Solution :`T=2pisqrt((m)/(K))` If the SPRING is CUT into TWO equal parts, the force constant of each part becomes 2K. Therefore, `T.=2pisqrt((m)/(2k))=(T)/(sqrt(2))`