Home
Class 12
PHYSICS
In the diagram shown the charge +Q is fi...

In the diagram shown the charge `+Q` is fixed. Another charge `+2q` and mass M is projected from a distance R from the fixed charge. Minimum separtion between the two charge if the velocity becomes `1/sqrt3` time of the projected velocity, at this moment is (Assume gravity to be absent)

A

`sqrt3/2R`

B

`1/sqrt3R`

C

`1/2R`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

Let us conserve angular momentum of +2q about the point at +Q.
`mv_1r_1sintheta_1=mv_2r_2sintheta_2`
`(m)(v)(R)sin150^@`
`=m(v/sqrt3)r_(min)sin90^@`
`:. r_(min)=sqrt3/2R`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise SUBJECTIVE_TYPE|6 Videos
  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Check point 1.1|10 Videos
  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Level 1 Objective|82 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY ENGLISH|Exercise (C) Chapter exercises|50 Videos
  • GRAVITATION

    DC PANDEY ENGLISH|Exercise All Questions|135 Videos

Similar Questions

Explore conceptually related problems

Two charge +q and -q are placed at distance r. Match the following two columns when distance between them is charged to r'.

A particle of mass 100 gm and charge 2muC is released from a distance of 50 cm from a fixed charge of 5muC . Find the speed of the particle when its distance from the fixed charge becomes 3 m.

An electric charged q exerts a force F on a similar electric charge q swparated by a distance r. A third charge q//4 is placed midway between the two charges. Now the force F will

In figure below a charge Q is fixed. Another charge q is moved along a circular arc MN of radius r around it, from the point M to the point N such that the length of the arc MN = 1. The work done in this process is :

A particle is projected from the mid-point of the line joining two fixed particles each of mass m . If the separation between the fixed particles is l , the minimum velocity of projection of the particle so as to escape is equal to

Two point charges 2q and 8q are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is a minimum

A point charge of charge -q and mass m is released with negligible speed from a distance sqrt(3) R on the axis of a fixed uniformly charged ring of charge Q and radius R. Find out its velocity when it reaches it reaches at the centre of the ring.

The charges +4q and +q are at a distance 3m apart. At what point between the charges, a third charge +q must be placed to keep it in equilibrium ?

Two fixed charges +4q and +q are at a distance 3 m apart. At what point between the charge, a third charge +q must be placed to keep it in equilibrium ?

A charge particle q is released at a distance R_(@) from the infinite long wire of linear charge density lambda . Then velocity will be proportional to (At distance R from the wire)