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The ratio of intensities of two waves ar...

The ratio of intensities of two waves are given by `4:1`. The ratio of the amplitudes of the two waves is

A

`2:1`

B

`2:1`

C

`4:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that `I alpha A^(2)`.
`rArr (I_(1))/(I_(2)) = (A_(1)^(2))/(A_(2)^(2))`
`rArr sqrt((4)/(1)) = (A_(1))/(A_(2)) rArr A_(1) :A_(2) = 2 :1`
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Knowledge Check

  • The ratio of the intensities of two waves is 16:9 . The ratio of their amplitudes is

    A
    `4:3`
    B
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  • If the ratio of intensities of two waves is 1 : 25, then the ratio of their amplitudes will be

    A
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    B
    `5:1`
    C
    `26 : 24`
    D
    `1 : 5 `

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