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A charged particle of 2 μC accelerated by a potential of 100 V enters a region of uniform magnetic field of magnitude 4 mT at right angle to the direction of the field. The charged particle completes a semicircle of radius 3 cm inside the magnetic field. The mass of the charge is ______ ×10⁻¹⁸ kg.

Asked in JEE Main 1st Feb 1st Shift 2023 · Circular motion: radius, period and energy

Answer: 144

Step-by-step solution

r=(√2mqV)/(qB)⇒ m=(qr²B²)/(2V)

m=((2×10⁻⁶)(9×10⁻⁴)(16×10⁻⁶))/(2×100)

m=1.44×10⁻¹⁶ kg=144×10⁻¹⁸ kg

→ 144

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