Home
Class 11
MATHS
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

`0.4 pi` sq.cm/sec

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • RATE OF CHANGE

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|22 Videos

Similar Questions

Explore conceptually related problems

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 circumference of the wave ring is

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 mt, find the rate of increase in the area and in the circumference of the wave ring.

A stone is dropped into a quiet lake and waves move in circles at a speed of 4cm per second. At the instant, when the radius of the circular wave is 10 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and ripples move in circles at the speed of 5 cm/sec. At the instant when the radius of circular ripple is 8cm, how fast is the enclosed area increases?

Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm.

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

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

AAKASH SERIES-RATE MEASUREMENT-PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)
  1. A stone is dropped into a quiet pond and waves move in circles outward...

    Text Solution

    |

  2. If a particle moves alonga straight line by S = 4t^(2) - 8t + 3 and th...

    Text Solution

    |

  3. The rate of change of sin t is n, then the rate of change of tan t is

    Text Solution

    |

  4. A particle moves along a straight line according to the equation s = 8...

    Text Solution

    |

  5. An angle theta through which a pulley turns with time 't' is completed...

    Text Solution

    |

  6. A particle moves along a line by s = (t^(3))/(3) - 3t^(2) + 8t then th...

    Text Solution

    |

  7. A particle 'p' moves along a straight line away from a point 'O' obeyi...

    Text Solution

    |

  8. If the rate of change of sine and tangent of the same angle are equal ...

    Text Solution

    |

  9. If the displacement in time t of a particle is given by s = ae^(t) + b...

    Text Solution

    |

  10. If the distance S travelled by a particle in time t is given by s = t^...

    Text Solution

    |

  11. The displacement of a particle in time 't' is given by S = t^(3) - t^(...

    Text Solution

    |

  12. A particle moves in a straight line according to the law v^(2) = 4a (x...

    Text Solution

    |

  13. The distance moved by the particle in time 't' is given by S = t^(2) -...

    Text Solution

    |

  14. A particle moves along the X-axis with velocity v = (dx)/(dt)=f(x) the...

    Text Solution

    |

  15. If the distance travelled by a particle is x = sqrt(pt^(2) + 2qt + r...

    Text Solution

    |

  16. If a particle moves along a line by S = sqrt(1 + t) then its accelerat...

    Text Solution

    |

  17. A particle moves on a line according to the law s = at^(2) + bt + c. I...

    Text Solution

    |

  18. A particle velocity v at time is given by v = 2e^(2t) cos(pi t)/(3). T...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  21. An aeroplane is flying horizontally at an altitude of 3000 ft directly...

    Text Solution

    |