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A strone thrown into still water, create...

A strone thrown into still water, creates a circular wave pattern moving radially outwards. If r is the distance measured from the centre of the pattern. The amplitudeof the aves varies as

A

`r^(-1//2)`

B

`r^(-1) `

C

`r^(-2)`

D

`r^(-3//2 )`

Text Solution

Verified by Experts

The correct Answer is:
B
The stone acts like a point source of light and producers spherical waves in 3 dimensions and circular wave in 2 dimensions.
The intensity(I) due to a spherical wavefront at a distance r is proportional to `(1)/(r_2)` and the amplitude ` A prop (1)/r ` .
In this case , r is the distance of the point from the centre of the pattern. `:. A prop r^(-1)`
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