Question

# Calculate the bulk modulus of air from the following data about a sound wave of wavelength 35 cm travelling in air. The pressure at a point varies between (1.0 × 105 and 14) Pa and the particles of the air vibrate in simple harmonic motion of amplitude 5.5× 10−6 m.

A

3.2 x 102 N/m2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

5.5 x 106 N/m2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

1.4 x 105 N/m2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 1.4 x 105 N/m2 Given Wavelength λ=35cm =35×10−2m ΔP=(1.0×105 − 14)Pa soP0 = 14 Pa S0 = 5.5× 10−6 m To find Bulk modulus Relation between pressure and displacement amplitude P0=BKS0 K=2πλ 14=B2π35×10−2×5.5×10−6 B = 1.4× 105 Nm2

Suggest Corrections
5
Join BYJU'S Learning Program
Related Videos
Pressure Wave
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program