Question

2.
The velocity of sound in air at NTP is 330 m/s. What will be its value when temperature
Is doubled and pressure is halved ?
A) 330 m/s
B) 165 m/s
C) 330 √2 m/s
D) 330/ √2 m/s​

Answer 1

Answer:

The velocity of sound is 330√2 m/s.

(C) is correct option.

Explanation:

Given that,

Velocity of sound in air at NTP = 330 m/s

Temperature = 2 T

$Pressure=\dfrac{P}{2}$

Let the temperature and pressure is T and P.

We need to calculate the velocity of sound when the temperature is doubled.

The velocity of sound wave is directly proportional to the square root of temperature.

In mathematically form,

$v\propto\sqrt{T}$....(I)

The velocity of sound when the temperature is doubled

$v\propto\sqrt{2T}$....(II)

Divided equation (I) by equation (II)

$\dfrac{330}{v}=\sqrt{\dfrac{T}{2T}}$

$v=330\sqrt{2}\ m/s$

Hence, The velocity of sound is 330√2 m/s.

Answer 2

Explanation:

hope it will helpful

please refer above the attachment