﻿ At normal temperature and pressure the speed of sound in air is 332 m/s. What will be the speed of sound in hydrogen (i) at normal temperature and pressure, (ii) at 546oC temperature and 3 atmospheric pressure? (Air is 16 times heavier than hydrogen). : Kaysons Education

# At Normal Temperature And Pressure The Speed Of Sound In Air Is 332 M/s. What Will Be The Speed Of Sound In Hydrogen (i) At Normal Temperature And Pressure, (ii) At 546oC Temperature And 3 Atmospheric Pressure? (Air Is 16 Times Heavier Than Hydrogen).

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

(i) The speed of sound in a gas given by

Where P is the pressure of the gas, d is the density and γ is the ratio of the two specific heats of the gas. Thus, if at normal temperature and pressure the speed of sound in air be va and in hydrogen be vh, then

Where dh and du are the densities of hydrogen and air respectively. It is given that

or

(ii) On changing the pressure of the gas the speed of sound remains the same, but on changing the temperature the speed changes. The speed of sound is directly proportional to the square-root of the ‘absolute’ temperature of the gas. Hence, if the speed of sound in hydrogen at normal temperature (0oC) be v0, and at 546oC be v546, then

#### SIMILAR QUESTIONS

Q1

The equation of a travelling wave is

Where y is the microns, t in seconds and x in metres. The ratio of the maximum particle velocity and velocity of the wave is

Q2

Due to Doppler effect, the shift in the wavelength observed is 0.1 Å, for a star producing a wavelength 6000 Å. The velocity of recession of the star will be

Q3

A particle, with restoring force proportional to displacement and damping force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum at ω = ω1 and its energy is maximum at ω = ω2, then (ω0 is the angular frequency of natural oscillations of the particle)

Q4

A vehicle with a horn of frequency n is moving with a velocity of 30 ms–1in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency (n + n1). If the sound velocity in air is 300 ms–1

Q5

Two springs of constants k1 and k2 have equal highest velocities while executing S.H.M. If their masses are equal, the ratio of their amplitudes will be

Q6

The velocity of sound is the greatest is

Q7

The speed of a wave in a medium is 960 m/s. If 3600 waves are passing through a point in the medium in  minute, then calculate the wavelength.

Q8

What is the frequency of radio waves transmitted by a station, if the wavelength of three waves is 300 meter?

Q9

At a pressure of 105N/m2 the volume strain of water is  Calculate the speed of sound in water. (Density of water = kg/m3).

Q10

The speed of sound in oxygen is 635 m/s. Find out the speed of sound in a mixture of hydrogen and oxygen in which the ratio of hydrogen and oxygen volumes is 4:1.