Home
Class 12
MATHS
A wet porous subtance in the open air lo...

A wet porous subtance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half its moisture during the first hour, then the time when it would have lost 99.9% of its moisture is (wether conditions remaining same)

A

more than 100 h

B

more than 10 h

C

approximately 10 h

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

A wet porous substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half its moisture during the first hour, when will it have lost 95% moisture, weather conditions remaining the same?

A wet porous substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half its moisture during the first hour, when will it have lost 90% , weather conditions remaining the same?

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.

Progressive express left for New Delhi increasing its speed in each hour. Its started its journey from lucknow, but after four hours of its journey it met with accident its speed in the fourth hour was 7/5 times that of the third hour and the speed in the third hour was 10/7 times that of the second hour and in the second hour it was 7/5 times that of the first hour. if it would have been travelled with the half of the speed that of the third hour, then it would have gone 160 km less in the same time . The average speed of the train during the journey of 4 hours was:

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. If the differential equation of the family of curve given by y=Ax+Be^(...

    Text Solution

    |

  2. passes through a curve point (1,pi/4) and at some point Its gradation ...

    Text Solution

    |

  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  4. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

    Text Solution

    |

  5. A curve is such that the area of the region bounded by the co-ordinate...

    Text Solution

    |

  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  7. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

    Text Solution

    |

  9. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  10. A curve C passes through origin and has the property that at each poin...

    Text Solution

    |

  11. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  13. The differential equation corresponding to the family of curves y=e^x ...

    Text Solution

    |

  14. The equation to the orthogonal trajectories of the system of parabolas...

    Text Solution

    |

  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

    Text Solution

    |

  17. A curve passing through (2,3) and satisfying the differential equat...

    Text Solution

    |

  18. Which one of the following curves represents the solution of the initi...

    Text Solution

    |