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When a circular oil drop expands on wate...

When a circular oil drop expands on water, its area increases at the uniform rate of 40 sq.cm per minute. The rate of increase in the radius when the radius 5 cm is

A

`4//pi` cm/m

B

`1//200` cm/m

C

8 cm/m

D

4 cm/m

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)
  1. If the rate of change in the radius of a circle is 0.5 sq.cm/sec, then...

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  2. If the rate of change in the area of a circle is pi sq.cm/sec, then th...

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  3. When a circular oil drop expands on water, its area increases at the u...

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

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

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  6. If the rate of change of area of a circle is equal to tha rate of chan...

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  7. The side of a square increases at therate of 1 cm per second. The rate...

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  8. If the rate of change of the side of a square is 0.05 cm/sec, then the...

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  9. the side of a square is equal to the diameter of a circle. Ifthe side ...

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  10. Two parallel sides of a rectangle are being lengthened at the rate of ...

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  11. A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If...

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  12. Each side of an equilateral triangle expands at the rate of 2 cm/sec. ...

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

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  14. At a given instant the legs of a right angled triangle are 8 inch and ...

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

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

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

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

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

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

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