(C) When a charged particle moves perpendicularly to a uniform magnetic field, it follows a circular path.The radius $r$ of the circular path is given

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(C) When a charged particle moves perpendicularly to a uniform magnetic field, it follows a circular path.The radius $r$ of the circular path is given by the formula:$r = \frac{mv}{qB}$Given values:Mass of electron $m = 9 \times 10^{-31} \ kg$Velocity $v = 1.6 \times 10^7 \ m/s$Charge of electron $e = 1.6 \times 10^{-19} \ C$Magnetic field $B = 0.1 \ T$Substituting these values into the formula:$r = \frac{9 \times 10^{-31} \times 1.6 \times 10^7}{1.6 \times 10^{-19} \times 0.1}$$r = \frac{9 \times 1.6 \times 10^{-24}}{1.6 \times 10^{-20}}$$r = 9 \times 10^{-4} \ m$

Class 12 Physics Moving Charges and Magnetism Motion of Charged Particle In Magnetic Field

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An electron beam travels with a velocity of $1.6 \times 10^7 \ m/s$ perpendicularly to a magnetic field of intensity $0.1 \ T$. Calculate the radius of the path of the electron beam. (Given: mass of electron $m_e = 9 \times 10^{-31} \ kg$)

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A
$9 \times 10^{-5} \ m$
B
$9 \times 10^{-2} \ m$
C
$9 \times 10^{-4} \ m$
D
$9 \times 10^{-3} \ m$

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Moving Charges and Magnetism

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Motion of Charged Particle In Magnetic Field

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An electron beam travels with a velocity of $1.6 \times 10^7 \ m/s$ perpendicularly to a magnetic field of intensity $0.1 \ T$. Calculate the radius of the path of the electron beam. (Given: mass of electron $m_e = 9 \times 10^{-31} \ kg$)

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Two ions having masses in the ratio $1: 1$ and charges $1: 2$ are projected into a uniform magnetic field perpendicular to the field with speeds in the ratio $2: 3$. The ratio of the radii of circular paths along which the two particles move is :

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$A$ uniform magnetic field $B$ exists in a region. An electron of charge $q$ and mass $m$ moving with velocity $v$ enters the region in a direction perpendicular to the magnetic field. Considering Bohr angular momentum quantization, which of the following statement$(s)$ is/are true?

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