(A) : Acceleration of a charged particle in nonuniform electric field does not depend on velocity of charged particle
(R) : Charge is an invariant quantity, that is, amount of charge on particle does not depend on frame of reference.

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Both ‘A’ and ‘R’ are true and ‘R’ is the correct explanation of ‘A’.

‘A’ is false and ‘R’ is false

Both ‘A’ and ‘R’ are true and ‘R’ is not the correct explanation of ‘A’

‘A’ is true and ‘R’ is false

answer is B.

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Detailed Solution

Acceleration of a charged particle in nonuniform electric field does not depend on velocity of charged particle. $a = \frac{q E}{m}$
Charge is an invariant quantity, that is, amount of charge on particle does not depend on frame of reference. Charge is invariant means it does not depends upon speed (rotational or linear) of frame of reference. The speed of charge varies according to frame of reference, but the magnitude of charge remains constant (Q=ne), and hence it is independent from speed and frame of reference.

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