AIEEE 2002 Physics Solved Paper

Let the spring constant of the original spring be k.
Then its time period T=2π√‌

m

k

where m is the mass of oscillating body.
When the spring is cut into n equal parts, the spring constant of one part becomes nk. Therefore the new time period,
T′=2π√‌

m

nk

=‌

T

√n