Advertisements
Advertisements
Question
At what temperature will the speed of sound in the air be 1.75 times its speed at S.T.P?
Advertisements
Solution
Given:
vair = 1.75 `"V"_"S.T.P." = 7/4 "V"_"STP", "T"_"S.T.P." = 273`K
To find: temperature Tair
Formula: `"v" prop sqrt"T"`
Calculation: From formula,
`"v"_"STP"/"v"_"air" = sqrt(("T"_"STP")/("T"_"air"))`
∴ `"v"_"STP"/(1.75 "v"_"air") = sqrt(273/"T"_"air")`
∴ `"v"_"STP"/(7//4 "v"_"STP") = sqrt((273)/("T"_"air"))`
∴ `"T"_"air" = (273 xx 49)/16`
∴ `"T"_"air"` = 836 K = 563°C
At 836 K (563°C), the speed of sound in air will be 1.75 times its speed at S.T.P.
APPEARS IN
RELATED QUESTIONS
Answer briefly.
What is the effect of humidity of air on velocity of sound?
What is the limitation of Newton's formula for velocity of sound?
The extension in a wire obeying Hooke's law is x. The speed of sound in the stretched wire is v. If the extension in the wire is increased to 4x, then the speed of sound in a wire is
A wave is represented by the equation, y = A sin (10 πx + 15 πt + π/3) where x is in metre and t are in second. Which of the following statements is correct?
At a certain instant, a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant is ____________.
The ratio of densities of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be the same as that in oxygen at 79°C is ______
The velocity of sound waves in diatomic gas at 30° C ____________.
Laplace's correction in the formula for the speed of sound given by Newton was required because sound waves ______.
At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 47° C?
Two monoatomic ideal gases A and B of molecular masses 'm1' and 'm2' respectively, are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by ______.
A train blowing the whistle moves with a constant velocity 'V' away from an observer standing on the platform. The ratio of the natural frequency of the whistle 'n' to the apparent frequency is 1.2 : 1. If the train is at rest and the observer moves away from it at the same velocity 'V', the ratio of 'n' to the apparent frequency is ______.
The velocity of sound at 0 °C is v0. What will be its velocity at 819 °C?
If the tension in the stretched string is increased by 69%, its fundamental frequency ______.
If y = y0 sin 2π `("ft" - x/lambda)` is, the equation of transverse wave, then for what value of λ the maximum particle velocity is equal to four times the wave velocity?
The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is ______.
A body sends waves 100 mm long through medium P and 0.25 m long in medium Q. If the velocity of the wave in medium P is 80 cms-1. The velocity of the wave in medium Q is ______.
The speed of sound in a mixture of 1 mole of He and 2 mole of oxygen at 27°C is ______.
The equation of a wave travelling on a stretched string is y = 4 sin 2π `("t"/0.02-"x"/100)`, here x and y are in cm and t is in second. The speed of wave is ______.
