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A uniform magnetic field B0 exists perpe...

A uniform magnetic field B0 exists perpendicular to the plane of the fig. A positively charged particle having charge q and mass m is projected with velocity u into the field. The particle moves in the plane of the fig. During its course of motion the particle is subjected to a friction force which varies with velocity as `underset(F)to=-Kvec(V)` where k is a positive constant and `vec(V)` is instantaneous velocity.

(a) What kind of path the particle will trace? Give quali- tative argument to support your answer.
(b) Write the speed of the particle as function of time. Plot the speed–time graph.
(c) Calculate the distance travelled by the particle before it stops.
Assume no other force apart from magnetic force and the friction force.

Text Solution

Verified by Experts

The correct Answer is:
`(a)` Spiral path
`(##IJA_PHY_V02_C09_E01_021_A01##)`
`(b) V=ue-(kt)/(m)`
`(c) s= ("mu")/(K)`
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