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A stone is dropped into a quiet pond and...

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 the instant when the radius of the wave ring is 50 m, the rate of increases in the area of the wave ring is

A

`0.75pi` sq.cm/sec

B

30 sq.cm/sec

C

`30pi` sq.m/sec

D

`0.4pi` sq.cm/sec

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
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  2. When a circular oil drop expands on water, its area increases at the u...

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  3. A stone is dropped into a quiet pond and waves move in circles outward...

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  12. The side of an equilateral triangle increases at the uniform rate of 0...

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  14. A variable triangle ABC is inscribed in a circle of diameter x units. ...

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  15. A spherical balloon is filled with 4500pi cubic meters of helium gas. ...

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  16. Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...

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  17. The volume of a metal hollow sphere is constant. If the outer radius i...

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  18. The side of a cube is equal to the diameter of a sphere. If the side a...

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  19. The side of a cube is equal to the radius of a shpere. If the side and...

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  20. If the rates of increase of side of a cube and radius of a sphere are ...

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