Home
Class 12
MATHS
The rate of decay of the mass of a radio...

The rate of decay of the mass of a radioactive substance at any time is k times its mass at that time. The differential equation satisfied by the mass of the substance is

A

`(dm)/(dt)+K=0,Kgt0`

B

`(dm)/(dt)-K=0,Kgt0`

C

`(dm)/(dt)+Km=0,Kgt0`

D

`(dm)/(dt)-Km=0,Kgt0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

Similar Questions

Explore conceptually related problems

The rate of decay of the mass of a radioactive substance at any time is 10^(-4) times its mass at that instant. After 10000 years, the mass will be

The ratio of mass of a diamagnetic substance in a magnetic field to its actual mass

Are the mass of a molecule of a substance and its molar mass same?

The rate of disintegration of a radioactive element at any time t is proportional to its mass at that time. Find the time during which the original mass of 1.5 g m will disintegrate into its mass of 0.5 gm.

The rate of disintegration of a radioactive substance is …………………………… to the number of atoms present at that time .

The mass of one mole of a substance in grams is called its

The decay rate of radium at any time t is proportional to its mass at that time.Find the time when the mass will be halved of its initial mass.

7/8 of the original mass of a radioactive substance decays in 30 min. What is the half life of the radioactive substance ?

The half-life of a radioactive substance against alpha- decay is 1.2 xx 10^7 s . What is the decay rate for 4 xx 10^15 atoms of the substance ?

NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The order of the differential equation of the family of parabolas whos...

    Text Solution

    |

  2. If radium decoposes at a rate proportional to tha amount Q present, th...

    Text Solution

    |

  3. The rate of decay of the mass of a radioactive substance at any time i...

    Text Solution

    |

  4. A particle is moving along X-axis Its acceleration at time t is propor...

    Text Solution

    |

  5. The differntial equation of all straight line passing through origin i...

    Text Solution

    |

  6. The differential equation of all lines parallel to the line 3x+2y+5=...

    Text Solution

    |

  7. The differential equation of the family of lines where length of the n...

    Text Solution

    |

  8. The differential equation of all non-vertical lines in a plane, is

    Text Solution

    |

  9. The differential equation of all non-horizontal lines in a plane is...

    Text Solution

    |

  10. If the slope of the tangent is equal to the square of tha abscissa of ...

    Text Solution

    |

  11. The differential equation of all lines having x-intercept a and y-inte...

    Text Solution

    |

  12. The differential equation of all straight lines passing through the po...

    Text Solution

    |

  13. Find the differential equation of all straight lines, which are at a u...

    Text Solution

    |

  14. The differential equation of the family of fixed radii r with centers ...

    Text Solution

    |

  15. Find the differential equation of the family of circles whose centres ...

    Text Solution

    |

  16. Form the differential equation of the family of circles touching th...

    Text Solution

    |

  17. The differential equation of all circles whose radius is 5 centre is a...

    Text Solution

    |

  18. The differential equation for all circles with centre (h,0) and radius...

    Text Solution

    |

  19. the family of circles having their centres on the line y=10 and touchi...

    Text Solution

    |

  20. The differential equation of the family of circles with fixed radius 5...

    Text Solution

    |