Home
Class 12
PHYSICS
The velocity (v) of a particle (under of...

The velocity (v) of a particle (under of force F) depends on its distance (x) from the origin (with `x gt0)v prop 1/(sqrt(x))`. Find how the magnitude of the force(F) on the particle depends on x.

A

`Fprop1/(x^(3/2))`

B

`F prop 1/x`

C

`F prop 1/(x^(2))`

D

`F prop x`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise PHYSICS|36 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise PHYSICS (CATEGORY -III)|3 Videos

Similar Questions

Explore conceptually related problems

The velocity v of a particle (under a force F) depends on its distance (x) from the origin (with x gt 0) v prop = (1)/(sqrt(x)) .Find how the magnitude of the force (F) on the particle depends on x.

The initial velocity of a particle- is u and acceleration (f) is uniform. Final velocity and distance covered in the interval t are v and s respectively. Show that the velocity of the particle at half - distance is more than the velocity for half-time.

Five coplanar forces, each of magnitude F, are acting on a particle. Each force is inclined at an angle 30^@ with the previous one. Find out the magnitude and direction of the resultant force on the particle.

The velocity of a particle moving along the positive direction of x-axis is v= Asqrt(x) , where A is a positive constant. At time t = 0 , the displacement of the particle is taken as x = 0 . (i) Express velocity and acceleration as functions of time , and (ii) find out the average velocity of the particle in the period when it travels through a distance s ?

The velocity of a moving body of mass m along positive.x axis is v =a sqrt(x) (a=constant). Find the work done by the force applied on the body to displace it from x=0 to x=l.

The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = sqrt(x+3) where x is in meters and t is in seconds. Finds the displacement (in metres ) of the particle when its velocity is zero.

A particle travels half of the distance between A and B with a velocity v_(0) . During half of the time required to travel the remaining distance the particle moves with a velocity v_(1) and the rest with a velocity v_(2) . Find the average velocity of the particle.

Velocities of a particle executing SHM are u and v at distances x_(1)andx_(2) respectively from the mean position. Prove that the amplitude of the motion is ((v^(2)x_(1)^(2)-u^(2)x_(2)^(2))/(v^(2)-u^(2)))^(1//2)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-PHYSICS
  1. A block of mass m(2) is placed on a horizontal table and another block...

    Text Solution

    |

  2. In a triangle ABC, the sides AB and AC are represented by the vectors ...

    Text Solution

    |

  3. The velocity (v) of a particle (under of force F) depends on its dista...

    Text Solution

    |

  4. The ratio of accelerations due to gravity g(1):g(2) on the surfaces of...

    Text Solution

    |

  5. A spherical liquid drop is placed on a horizontal plane. A small distu...

    Text Solution

    |

  6. The stress along the length of a rod (with rectangular cross section) ...

    Text Solution

    |

  7. What will be th approximate terminal velocity of a rain drop of diamet...

    Text Solution

    |

  8. The water equivalent of a calorimeter is 10g and it contains 50 g of w...

    Text Solution

    |

  9. One mole of a mono atomic ideal gas undergoes a quasi -static process,...

    Text Solution

    |

  10. For an ideal gas with initial pressure and volume P(i) and V(i) respec...

    Text Solution

    |

  11. A point charge -q is carried from a point A to another point B on the ...

    Text Solution

    |

  12. The bob of a pendulum of mass m, suspended by an inextensible string o...

    Text Solution

    |

  13. A light charged particle is revolving in a circle of radius r in elect...

    Text Solution

    |

  14. As shown in the figure, a rectangular loop of a conducting wire is mov...

    Text Solution

    |

  15. A solid spherical ball and a hollow spherical ball of two different ma...

    Text Solution

    |

  16. The insultated plates of a charged parallel capacitor (with small sepa...

    Text Solution

    |

  17. Two positive charges Q and 4Q are placed at points A and B respectivel...

    Text Solution

    |

  18. A non zero current passes through the galvanometer G shown in the circ...

    Text Solution

    |

  19. A ray of light is incident on a right angled isosceles prism parallel ...

    Text Solution

    |

  20. The intensity of a sound appears to an observer to be periodic. Which ...

    Text Solution

    |