Force Acting on Moving Charges: Practice Problem & Solution
Assertion (A): A charged particle is moving in a circle with constant speed in uniform magnetic field. If we increase the speed of particle to twice, its acceleration will become four times. Reason (R): A charge particle in circular path with constant speed in magnetic field, acceleration is given by centripetal acceleration. If speed is doubled centripetal acceleration will become four times.
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Force Acting on Moving Charges. Understanding the underlying formula is key to arriving at the correct answer below:
The centripetal acceleration for a charged particle in a magnetic field is \( a = frac{qvB}{m} \). If speed \( v \) is doubled, then acceleration \( a \) will also double, not quadruple. So, Assertion (A) is false. Similarly, in this context, Reason (R) is also false. Thus, both are false.
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