A ripple is created in water. The amplitude at a distance of 5 cm from the point where the sound ripple was created is 4 cm. Ignoring damping, what will be the amplitude at the distance of 10 cm.
√16cm
√8cm
√4cm
√2cm
A
√8cm
B
√4cm
C
√16cm
D
√2cm
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Solution
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Spherical waves are created in water.
Energy of wave at distance rEr∝1r
But Er∝A2r
where Ar is the amplitude of wave
⟹Ar∝1√r
Given : A5=4 cm r1=5cm r2=10cm
⟹A10=√r1r2A5=√510×4=√8 cm
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