Question

Velocity of sound measured in hydrogen and oxygen gas at
a given temperature and pressure will be in the ratio of
Tricky
(a) 1:1 (b) 2:1 (c) 1:4 (d) 4:1
1​

Answer 1

Explanation:

The correct answer is (d) 4:1

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Answer 2

Answer:

Let, v

and v

o

be the velocities of sound in hydrogen and oxygen respectively.

mm and mobe the masses of hydrogen and oxygen respectively.

The speed of sound in gas is inversely proportional to the square root of mass of gas , hence

vh∝ m h

1 and

vo ∝ mo

1⇒ v0

vv = m h

m0

∴

v

o

v

h

=

1

16

∴

v

o

v

h

=

1

4

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