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in Physics by (71.4k points)

In a region having a uniform field vector B = B0j , a proton is fired from origin with velocity v = v0j + v0k. The subsequent motion of the proton has the best description give by the following statement(s). 

(a) Its x and z co-ordinates cannot be zero at the same time 

(b) If y co-ordinate will be proportional to its time of flight 

(c) Its x co-ordinates can never be negative 

(d) Its x co- ordinate can never be positive

1 Answer

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Best answer

Correct option: (b,d)

Explanation: 

The velocity of proton makes an angle of 45° with the direction of magnetic field. Therefore, path of the proton is a helix. The plane of the circle of this helix is the plane formed by negative x and positive formed by negative x and positive z- axis. Therefore, x - coordinate can never be positive. Further, x and z co-ordinates will become zero simultaneously after every pitch and y - coordinate of proton at any time t is

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