A 7 kg particle carrying a charge of 1 uC enters a uniform 2 T magnetic field at

Question

A 7 kg particle carrying a charge of 1 uC enters a uniform 2 T magnetic field at a speed of 92 m/s and with an angle of 44o with respect to the field lines, as shown in the figure. Answer the following questions: (Select T-True, F-False, If the first is T and the rest F, enter TFFFF).

A) The x-component of the particle's velocity is unchanged as it passes through the B-Field.
B) The field does a finite (non-zero) amount of work on the particle as the particle's trajectory is bent by the field.
C) The particle follows a helical path.
D) The particle's speed varies as it passes through the B-Field.
E) The initial force on the particle is in the +z direction.

Explanation / Answer

here,

mass , m = 7 kg

charge , q = 1 * 10^-6 C

magnetic feild , B = 2 T

v = 92 m/s

theta = 44 degree

A)

True , as the x component of velocity is parallel to the feild , then there is no force in this direction

The x-component of the particle's velocity is unchanged as it passes through the B-Field.

B)

the work done by feild is zero

as the speed is always perpendixular to the force applied ,

cos(theta) = 0

C)

TRue , the particle follows a helical path

D)

False

No, the particle speed doest not varies when it passes through the B-feild

E)

as F = q * v X B

the force is in + Z direction

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