Home
Class 12
MATHS
Suppose that a mothball loses volume by ...

Suppose that a mothball loses volume by evaporation at a rate proportional to its instantaneous area. If the diameter of the ball decreases from 2cm to 1cm in 3 months, how long will it take until the ball has practically gone?

A

4 months

B

3 months

C

2 months

D

1 months

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - D (Linked Comprehension Type Questions))|11 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - E (Assertion - Reason Type Questions)|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|39 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

A sound wave has a frequency of 2 kHz and wavelength 35 cm . How long will it take to travel 1.5 km ?

Assume that a spherical rain drop evaporates at a rate proportional to its surface area .Radius originally is 3 mm and 1 hour later has been reduced to 2 mm, find an expression for the radius of the rain drop at any time.

A ball of density d is dropped on to a horizontal solid surface. It bounces elastically from the surface and returns to its original position in a time t_1 . Next, the ball is released and it falls through the same height before striking the surface of a liquid of density of d_L (a) If dltd_L , obtain an expression (in terms of d, t_1 and d_L ) for the time t_2 the ball takes to come back to the position from which it was released. (b) Is the motion of the ball simple harmonic? (c) If d=d_L , how does the speed of the ball depend on its depth inside the liquid? Neglect all frictional and other dissipative forces. Assume the depth of the liquid to be large.

A solid metal sphere is cut through its centre into 2 equal parts. If the diameter of the sphere is 3 (1)/(2) cm, find the total surface area of each part correct to two decimal places.

Find the rate of change of the volume of a ball with respect to its radius How fast is the volume changing with respect to the radius when the radius is 2 cm?

A cylindrical tank whose cross-section area is 2000 cm^2 has a hole in its bottom 1 cm ^2 in area. (i) If the water is allowed to flow into the tank from a tube above it at the rate of 140 cm ^3//s , how high will the water in the tank rise ? (ii) If the flow of water into the tank is stopped after the above height has been reached, how long will it take for tank to empty itself through the hole?

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

Find the rate of change of the volume of a ball with respect to its radius rdot How fast is the volume changing with respect to the radius when the radius is 2cm?

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of the two of the balls are 1.5 cm and 2 cm respectively. Determine the diameter of the third ball.

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)
  1. The foci of the curve which satisfies the equation (1+y^(2))dx - xy dy...

    Text Solution

    |

  2. The general solution of the equation, x((dy)/(dx)) = y ln (y/x) is

    Text Solution

    |

  3. The equation of the curve satisfying the differential equation y((d...

    Text Solution

    |

  4. The graph of the function y=f(x) passing through the point (0,1) an...

    Text Solution

    |

  5. Orthogonal trajectories of the system of curves ((dy)/(dx))^(2) = (a)/...

    Text Solution

    |

  6. A curve has the property that area of triangle formed by the x-axis, t...

    Text Solution

    |

  7. The tangent at any point P of a curve C meets the x-axis at Q whose ab...

    Text Solution

    |

  8. Consider a curved mirror y = f(x) passing through (8, 6) having the pr...

    Text Solution

    |

  9. The differential equation representing all possible curves that cut ea...

    Text Solution

    |

  10. Suppose that a mothball loses volume by evaporation at a rate propo...

    Text Solution

    |

  11. Let x(1-x)\ dy/dx = x-y

    Text Solution

    |

  12. Let a curve passes through (3, 2) and satisfied the differential equat...

    Text Solution

    |

  13. A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^2)/(x^2y...

    Text Solution

    |

  14. Tangent is drawn at any point P of a curve which passes through (1, 1)...

    Text Solution

    |

  15. y=c1 x+c2 sin(2x+c3) (C1, C2, C3 are arbitrary constants)

    Text Solution

    |

  16. Which of the following statements is/are true ?

    Text Solution

    |

  17. A curve passes through (1,0) and satisfies the differential equation (...

    Text Solution

    |