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Q.

A particle of mass m and charge q is projected in a region where an electric field by  E=E0i^ exists, with velocity v0j^ from the origin at time t=0, then choose the correct statements (Assuming m2v02=2qE0mx0).

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a

Radius of curvature of the particle when its x-coordinate becomes x0 is 2x0

b

Speed of the particle when its x-coordinate becomes x0 is  2v0

c

Speed of the particle when its x-coordinate becomes x0 is 2v0

d

Radius of curvature of the particle when its x-coordinate becomes x0 is 42x0

answer is B, C.

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Detailed Solution

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v2=v02+2(qE0m)x0 v=2v0 an=asinθ an=qE0m(v0v)=qE0m2

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R=v2an=(2v0)2m2qE0 R=(mv02qE0)(22) R=42x0

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