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Q.

A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At that instant when the radius of the wave ring is 50 mt, the rate of increase in the area of the wave ring is 

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a

0.75π sq.cm/sec

b

30πsq.m/sec

c

0.4πsq.cm/sec

d

30 sq.cm/sec

answer is C.

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Detailed Solution

A=πr2⇒dAdt=2πrdrdt=2π(50)(301000)

=30πsq.mts/sec

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