A block is suspended by a spring and its time period of small vertical oscillation is found to be T. Now the spring is cut into two segments the ratio of whose length is 1 : 2. The segments are arranged in parallel combination and the same block is suspended from the combination. If the block is now allowed to oscillate vertically, find its new time period.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

answer is 2.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

k1 = 1+21 k=3k and k2 = 1+22 k=32k.∴ ke=k1+k2=92kNow, T=2π Mk and T'=2π MKe∴ T'T= kke = 29∴ T'=2 T3

Watch 3-min video & get full concept clarity