MHT CET202020 Oct 2020Morning ShiftPhysicsWaves and SoundActual
A stretched uniform wire of length L under tension T is vibrating with frequency 'n'. A closed pipe of same length is also vibrating with same fundamental frequency 'n'. If T is increased by 16 ~N , it is in resonance with 2^ nd harmonic of same closed pipe. The initial tension in the wire is
Options
- A1 ~N
- B2 ~N
- C1 5 ~N
- D0 5 ~N
Correct answer
B. 2 ~N
Step-by-step solution
n = 1 2 T m = v 4 = 1 2 T +16 n = 3 v 4 T T+16 = 1 3 T T+16 = 1 9 9 T = T +16 8 T =16 T =2 ~N