Home
Class 11
PHYSICS
At what temperatures (i n ^(@)C) will th...

At what temperatures `(i n ^(@)C)` will the speed of sound in air be 3 times its value at `O^(@)C`?

Text Solution

Verified by Experts

We know that sped of sound in air `vropsqrt(T)`
`:. " " (v_(T))/(v_(0))=sqrt((T_(T))/(T_(0)))=sqrt((T_(T))/(273))" "` where T is in kelvin
But `" " (v_(T))/(v_(0))=(3)/(1)" " [ :.` speed becomes three tiems ]
`:. " " (3)/(1)sqrt((T_(T))/(T_(0)))rArr(T_(T))/(273)=9`
`:. " " T_(T)=273xx9=2457K`
`:. " " =2457-273=2184^@C`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    NCERT EXEMPLAR|Exercise SHORT ANSWER TYPE QUESTIONS|7 Videos

  • WAVES

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

  • WAVES

    NCERT EXEMPLAR|Exercise MULTIPLE CHOICE QUESTIONS (MORE THAN ONE OPTIONS )|7 Videos

  • UNITS AND MEASUREMENTS

    NCERT EXEMPLAR|Exercise Long Answer Type Questions|9 Videos

  • WORK, ENERGY AND POWER

    NCERT EXEMPLAR|Exercise Long answer|1 Videos

Similar Questions

Explore conceptually related problems

At what temperatures (i n ^(@)C) will the speed of sound in ari be 3 times its value at O^(@)C ?

At what temperature will the speed of sound in air be 3 times its value at 0^(@) C?

The temperature at which the speed of sound in air becomes double of its value at 0^(@)C is

The temperature at which the speed of sound in air becomes double of its value at 27^(@)C is

The temperature at which the speed of sound in air becomes double its value at 0^(@) C is

At what temperature the speed of sound in air becomes double of its value of 0^(@) C -