Question

The velocity of sound in air at ntp is 330 m/s . What will be it's value when temperature is doubled and pressure is halved?

Answer 1

Answer:

The speed of sound is roughly independent of the pressure. Velocity of sound ∝ square root of temperature, hence the velocity of sound is 330√2 m/s

Explanation:

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Answer 2

Given:-  

The velocity of sound at NTP in the air is 330m/s.

To Find:-

Value of velocity after the given condition apply

Solution:-

According to the question:-

The temperature will be double i.e T' = 2T

Pressure will be Halved i.e P' =  $\frac{P}{2}$

As we know that velocity is independent of pressure V⇒P

and Velocity V ∝   $\sqrt{T}$

i.e according to question V ∝  $\sqrt{2T}$

i.e Velocity V = $330\sqrt{2}$ m/sec after given condition applied.