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The temp. at which the speed of sound in...

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

A

`273^(@)` C

B

`546^(@)` C

C

`819^(@)` C

D

`1092 ^(@)` C

Text Solution

Verified by Experts

The correct Answer is:
C
`(v_(t))/(v_(0)) = sqrt((T + 273)/(0 + 273) ) `
` therefore 2 = sqrt((T + 273)/(273) ) rArr = T + 273 = 4 xx 273 `
t = `4 xx 273 - 273^(@) = 819^(@) ` C
Hence the correct choice is (c) .
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Knowledge Check

  • The temperature in ""^(@)C at which the velocity of sound in air is half its value at 0^(@)C is

    A
    `+204.75`
    B
    `-204.75`
    C
    `0.5`
    D
    `-273`

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