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Question

Physics Question on Moving charges and magnetism

A charge particle of 2μC2 \,\mu C accelerated by a potential difference of 100V100\, V enters a region of uniform magnetic field of magnitude 4mT4 \,mT at right angle to the direction of field The charge particle completes semicircle of radius 3cm3 \,cm inside magnetic field The mass of the charge particle is _______ ×1018kg\times 10^{-18} kg

Answer

The correct answer is 144.
A charge particle of 2μC accelerated by a potential difference of 100

r=mvqB=2kmqB,m=r2q2B22kr=\frac{mv​{}qB} =\frac{2km}{qB},m=\frac{r^2q^2B^2}{2k}
m=1100×3100×2×2×4×103×4×103×10122×(100)×1016m=\frac{\frac{1}{100}×\frac{3}{100}×2×2×4×10^{−3}×4×10^{−3}×10^{−12}​ }{2×(100)×10^{-16}}

=144×10−18kg