Waves
© examsnet.com
Question : 16
Total: 27
A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is speed of sound in steel?
Solution:
A rod clamped in the middle has antinodes (A) at its ends and node (N) at the point of clamping. In fundamental mode, thus the length of the rod isl =
and alsol =
Here,l = 100
υ = 2.53 kHz = 2.53 × 10 3 Hz
∴λ = 2 × 100 = 200 cm
Ifv
v = υ λ = 2.53 × 10 3 × 200
= 506 × 10 3 cm s – 1
= 5.06 × 103 ms – 1
v = 5.06 km s – 1 .
Where
and also
Here,
∴
If
© examsnet.com
Go to Question: