Question

when a stone is dropped into the lake, the produced waves are

Answer 1

When the stone is dropped into the lake the waves produced are equal as the gravitational force is equal and the pressure exerted by air on the lake is equal toosory the frequency of the waves will also be equal

Answer 2

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We know that the area of a circle with radius “r” is given by A = πr2.

Hence, the rate of change of area “A’ with respect to the time “t” is given by:

dA/dt = (d/dt) πr2

By using the chain rule, we get:

(d/dr)(πr2). (dr/dt) = 2πr.(dr/dt)

It is given that, dr/dt = 4 cm/sec

Therefore, when r = 10 cm,

dA/dt = 2π. (10). (4)

dA.dt = 80 π

Hence,

when r = 10 cm, the enclosing area is increasing at a rate of 80π cm2/sec

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Hope It's Helpful....:)