wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A sound wave travels a distance l in helium gas in time t at a particular temperature. If at the same temperature a sound wave is propagated in oxygen gas, it will cover the same distance l in what time (approximately)?

A
2t
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4t
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3t
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5t
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 3t
Velocity of sound, v=γRTM

where γ is the adiabatic index, R is universal gas constant, T is absolute temperature and M is molecular mass of the gas.

At the same temperature,

vO2vHe=γO2γHe×MHeMO2

vO2vHe=     (75)(53)×432

vO2vHe=2125×432

vO2=0.32 vHe ....(1)

Time taken by sound in Helium gas to cover distance l,

t=lvHe .....(2)

Now, the time taken by sound in Oxygen gas to cover distance l,

t=lvO2

t=l0.32×vHe [from (1)]

t=t0.32 [from (2)]

t3t

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon