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Q.

In a region of space, a uniform magnetic field B exists in the x-direction. An electron is fired from the origin with its initial velocity making an angle with they direction in the y-z plane. In the subsequent motion of the electron,

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a

y-coordinate of the electron will never be negative

b

z-coordinate of the electron will never be negative

c

x-coordinate of the electron will never be negative

d

trajectory of the electron would be helical

answer is C.

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Detailed Solution

We can see from trajectory that both y- and z-coordinates can become negative. This trajectory lies in y-z plane. So, x-coordinate is always zero.
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In a region of space, a uniform magnetic field B exists in the x-direction. An electron is fired from the origin with its initial velocity making an angle with they direction in the y-z plane. In the subsequent motion of the electron,