Home
Class 12
PHYSICS
A body of mass m(0) is placed on a smoot...

A body of mass `m_(0)` is placed on a smooth horizontal surface . The mass of the body is decreasing exponentially with disintegration constant , `lambda` . Assuming that the mass is ejected backwards with a relative velocity u . If initially the body was at rest , the speed of body at time t is

Text Solution

Verified by Experts

The correct Answer is:
`v = ult`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODERN PHYSICS - 2

    MOTION|Exercise EXERCISE - 3 (Level -II) SUBJECTIVE - JEE ADVANCED (SECTION B)|2 Videos
  • MODERN PHYSICS - 2

    MOTION|Exercise EXERCISE - 3 (Level -II) SUBJECTIVE - JEE ADVANCED (SECTION C)|2 Videos
  • MODERN PHYSICS - 2

    MOTION|Exercise EXERCISE - 3 (Level -I) SUBJECTIVE - JEE ADVANCED (SECTION D)|5 Videos
  • MODERN PHYSICS

    MOTION|Exercise PHYSICS|73 Videos
  • MODERN PHYSICS -1

    MOTION|Exercise EXERCISE-4 ( LEVEL- II)|39 Videos

Similar Questions

Explore conceptually related problems

A body of mass M with a small box of mass m placed on it rests on a smooth horizontal surface. The box is set in motion in the horizontal direction with a velocity u as shown in figure. To what height relative to the initial level will the box rise after breaking off from the body M? Assume all surfaces are frictionless.

A body of mass M with a small block m placed on it rests on a smooth horizontal surface. The block is set in motion in the horizontal direction with a velocity v . To what height relative to the initial level will the block rise after breaking off from the body M . Friction can be assumed to be absent.

Knowledge Check

  • If mass of a body is 'M' on the earth surface, then the mass of the same body on the moon surface is

    A
    `(M)/(6),`
    B
    Zero
    C
    M,
    D
    None of these
  • If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is

    A
    M /6
    B
    Zero
    C
    M
    D
    None of these
  • A body of mass m is projected with intial speed u at an angle theta with the horizontal. The change in momentum of body after time t is :-

    A
    m u `sin theta`
    B
    2 m u `sin theta`
    C
    m g t
    D
    zero
  • Similar Questions

    Explore conceptually related problems

    A force acts for 8 s on a body of mass 5 kg at rest,on a smooth horizontal surface.The force then stops acting and the body describes 80 m in next 5 s .The force acting on body is

    A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

    The escape velocity of a body does not depend on the mass of the body.

    The escape velocity of a body does not depend on the mass of the body.

    A force acts for 8 s on a body of mass 5kg at rest,on a smooth horizontal surface.The force then stops acting and the body describes 80m in next 5s .The force acting on body is ?