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Q.

A proton (mass =1.67×1027kg and charge =1.6×1019C is projected in a uniform magnetic field of 2 Wb/m2 with a velocity 3.4×107m/s in a direction perpendicular to the field. The acceleration of the proton should be

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a

6.5×1015m/s2

b

6.5×1013m/s2

c

6.5×1011m/s2

d

6.5×109m/s2

answer is A.

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Detailed Solution

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F = ma = qvB

a =qvBm=1.6×1019×2×3.4×1071.67×1027

=6.5×1015 m/s2

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A proton (mass =1.67×10−27kg and charge =1.6×10−19C is projected in a uniform magnetic field of 2 Wb/m2 with a velocity 3.4×107m/s in a direction perpendicular to the field. The acceleration of the proton should be