Question

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is ______.

विकल्प

• `sqrt(2/7)`

• `sqrt(1/7)`

• `sqrt3/5`

• `sqrt6/5`

Answer 1

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is `underlinebb(sqrt3/5)`.

Explanation:

v = `sqrt("rRT"/"M")`

`"v"_("N2")/"v"_"He"=(sqrt((7/5"RT")/14))/(sqrt((5/3"RT")/4))`

= `sqrt(7/5"R"/28)xxsqrt(3/5 4/"RT")`

= `sqrt3/5`