Home
Class 12
PHYSICS
The motion of a body falling from rest i...

The motion of a body falling from rest in a resisting medium is described by the equation `(dv)//(dt)=a-bv` where a and b are constant . The velocity at any time `t` is given by

A

the initial acceleration is A

B

The initial acceleration is B

C

The magnitude velocity at which acceleration becomes zero is `A//B`

D

The velocity at any time `t` is `V=(A)/(B)(1-e^(-Bt))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise PT-01|30 Videos

  • TEST PAPERS

    RESONANCE|Exercise Pt-02|30 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART - II PHYSICS|107 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Advanced Level Problems|13 Videos

  • TEST SERIES

    RESONANCE|Exercise PHYSICS|127 Videos

Similar Questions

Explore conceptually related problems

The motion of a body falling from rest in a resting medium is described by the equation (dv)/(dt)=a-bv , where a and b are constant. The velocity at any time t is

The motion of a body falling from rest in a medium is given by equation, (dv)/(dt)=1-2v . The velocity at any time t is

The motion of a particle is described by the equation x = a+bt^(2) where a = 15 cm and b = 3 cm//s . Its instantaneous velocity at time 3 sec will be

The displacement of a body is given by 2 s= g t^(2) where g is a constant. The velocity of the body at any time t is :

The motion of a particle moving along x-axis is represented by the equation (dv)/(dt)=6-3v , where v is in m/s and t is in second. If the particle is at rest at t = 0 , then

The velocity v of mass m of a rocket at time t is given by the equation : m (dv)/(dt)+V (dm)/(dt)=0 , where 'V' is the constant velocity of emission. If the rocket starts from rest when t=0 with mass m, prove that : v= V log ((m_(0))/(m)) .

A body is projected horizontally from a point above the ground and motion of the body is described by the equation x=2t, y=5t^2 where x, and y are horizontal and vertical coordinates in metre after time t. The initial velocity of the body will be

If the velocity of a particle "v" as a function of time "t" is given by the equation,v=a(1-e^(-bt) ,where a and b are constants,then the dimension of the quantity a^2*b^3 will be

The acceleration a (in ms^(-2) ) of a body, startin gfrom rest varies with time t (in s) following the equation a = 3t + 4 . The velocity of the body at time t = 2s will be:

RESONANCE-TEST PAPERS-Physics
  1. A satellite is revolving round the earth (mass M(e)) in a circular orb...

    Text Solution

    |

  2. Two bulbs 25 watt-100 volt and 100 watt-200 volt are connected in the ...

    Text Solution

    |

  3. The motion of a body falling from rest in a resisting medium is descri...

    Text Solution

    |

  4. The resistance of the galvanometer G in the circuit's 25Omega. The met...

    Text Solution

    |

  5. In the figure shown : (All batteries are ideal)

    Text Solution

    |

  6. In the given circuit the point A is 9 V higher than point B.

    Text Solution

    |

  7. The upper end of the string of a simple pendulum is fixed to a vertica...

    Text Solution

    |

  8. If the unknown resistance calculated without using the end correction,...

    Text Solution

    |

  9. A motor boat of mass m moves along a lake with velocity V(0). At the m...

    Text Solution

    |

  10. A motor boat of mass m moves along a lake with velocity V(0). At the m...

    Text Solution

    |

  11. Consider a cell of emf E and internal resistance r. The current drawn ...

    Text Solution

    |

  12. A string is connected to block of mass m=1.2 kg placed over rough tabl...

    Text Solution

    |

  13. Find the mass (in kg) of the hanging block which will prevent the smal...

    Text Solution

    |

  14. A block is initially at rest on a horizontal frictionless surface when...

    Text Solution

    |

  15. A cart of mass 3 kg is pulled by a 5 kg object as shown in figure. Len...

    Text Solution

    |

  16. Each of the resistors shown in figure has a resistances of 10(Omega)an...

    Text Solution

    |

  17. let there be a non conducting infinite large sheet of charge of surfac...

    Text Solution

    |

  18. A particle experiences a force which is proportional to distance from ...

    Text Solution

    |

  19. P is the centre of mass of four point masses A,B, C and D which are ly...

    Text Solution

    |

  20. In the Young's double slit experiment, the interference pattern is fou...

    Text Solution

    |