02. Motion of Charge Particle in Magnetic Field
Moving Charges & Magnetism

153515 A charged particle having charge $q$ and mass $m$ moving at a constant velocity $v$ enters a transverse uniform magnetic field of strength $B$. It move in a circular path of radius

1 $\frac{\mathrm{mqB}}{\mathrm{v}}$
2 $\frac{\mathrm{mq}}{\mathrm{Bv}}$
3 $\frac{\mathrm{mv}}{\mathrm{Bq}}$
4 $\frac{\mathrm{mB}}{\mathrm{vq}}$
Moving Charges & Magnetism

153516 A charged particle having charge $2 \mathrm{C}$ is thrown with velocity $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}$ inside a region having $\overrightarrow{\mathbf{E}}=\mathbf{2} \hat{\mathbf{j}}$ and magnetic field $\overrightarrow{\mathbf{B}}=\mathbf{5} \hat{\mathbf{k}}$. The initial Lorentz force acting on the particle is

1 $30 \hat{i}-16 \hat{j}$
2 $16 \hat{i}+30 \hat{j}$
3 $15 \hat{i}+8 \hat{j}$
4 $30 \hat{i}+16 \hat{j}$
Moving Charges & Magnetism

153517 Electron moves to a region of uniform magnetic filed $B$ in the plane perpendicular to B. It finishes an orbit in $1 \mu \mathrm{s}$. What is the nearest value of $B$ among the following [mass of electron $=9 \times 10^{-31} \mathrm{~kg}$ ]

1 $2.5 \mu \mathrm{T}$
2 $3.5 \mu \mathrm{T}$
3 $35 \mu \mathrm{T}$
4 $350 \mu \mathrm{T}$
Moving Charges & Magnetism

153518 An a.c generator consists of a coil of 100 turns and is of cross-sectional area $3 \mathrm{~m}^{2}$. It is rotating at a constant angular speed of $60 \mathrm{rad} / \mathrm{sec}$ in a uniform magnetic field of $0.04 \mathrm{~T}$. Resistance of the coil is $360 \Omega$. What is the maximum power dissipation in the coil?

1 $720 \mathrm{~W}$
2 $518 \mathrm{~W}$
3 $360 \mathrm{~W}$
4 $100 \mathrm{~W}$
Moving Charges & Magnetism

153515 A charged particle having charge $q$ and mass $m$ moving at a constant velocity $v$ enters a transverse uniform magnetic field of strength $B$. It move in a circular path of radius

1 $\frac{\mathrm{mqB}}{\mathrm{v}}$
2 $\frac{\mathrm{mq}}{\mathrm{Bv}}$
3 $\frac{\mathrm{mv}}{\mathrm{Bq}}$
4 $\frac{\mathrm{mB}}{\mathrm{vq}}$
Moving Charges & Magnetism

153516 A charged particle having charge $2 \mathrm{C}$ is thrown with velocity $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}$ inside a region having $\overrightarrow{\mathbf{E}}=\mathbf{2} \hat{\mathbf{j}}$ and magnetic field $\overrightarrow{\mathbf{B}}=\mathbf{5} \hat{\mathbf{k}}$. The initial Lorentz force acting on the particle is

1 $30 \hat{i}-16 \hat{j}$
2 $16 \hat{i}+30 \hat{j}$
3 $15 \hat{i}+8 \hat{j}$
4 $30 \hat{i}+16 \hat{j}$
Moving Charges & Magnetism

153517 Electron moves to a region of uniform magnetic filed $B$ in the plane perpendicular to B. It finishes an orbit in $1 \mu \mathrm{s}$. What is the nearest value of $B$ among the following [mass of electron $=9 \times 10^{-31} \mathrm{~kg}$ ]

1 $2.5 \mu \mathrm{T}$
2 $3.5 \mu \mathrm{T}$
3 $35 \mu \mathrm{T}$
4 $350 \mu \mathrm{T}$
Moving Charges & Magnetism

153518 An a.c generator consists of a coil of 100 turns and is of cross-sectional area $3 \mathrm{~m}^{2}$. It is rotating at a constant angular speed of $60 \mathrm{rad} / \mathrm{sec}$ in a uniform magnetic field of $0.04 \mathrm{~T}$. Resistance of the coil is $360 \Omega$. What is the maximum power dissipation in the coil?

1 $720 \mathrm{~W}$
2 $518 \mathrm{~W}$
3 $360 \mathrm{~W}$
4 $100 \mathrm{~W}$
Moving Charges & Magnetism

153515 A charged particle having charge $q$ and mass $m$ moving at a constant velocity $v$ enters a transverse uniform magnetic field of strength $B$. It move in a circular path of radius

1 $\frac{\mathrm{mqB}}{\mathrm{v}}$
2 $\frac{\mathrm{mq}}{\mathrm{Bv}}$
3 $\frac{\mathrm{mv}}{\mathrm{Bq}}$
4 $\frac{\mathrm{mB}}{\mathrm{vq}}$
Moving Charges & Magnetism

153516 A charged particle having charge $2 \mathrm{C}$ is thrown with velocity $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}$ inside a region having $\overrightarrow{\mathbf{E}}=\mathbf{2} \hat{\mathbf{j}}$ and magnetic field $\overrightarrow{\mathbf{B}}=\mathbf{5} \hat{\mathbf{k}}$. The initial Lorentz force acting on the particle is

1 $30 \hat{i}-16 \hat{j}$
2 $16 \hat{i}+30 \hat{j}$
3 $15 \hat{i}+8 \hat{j}$
4 $30 \hat{i}+16 \hat{j}$
Moving Charges & Magnetism

153517 Electron moves to a region of uniform magnetic filed $B$ in the plane perpendicular to B. It finishes an orbit in $1 \mu \mathrm{s}$. What is the nearest value of $B$ among the following [mass of electron $=9 \times 10^{-31} \mathrm{~kg}$ ]

1 $2.5 \mu \mathrm{T}$
2 $3.5 \mu \mathrm{T}$
3 $35 \mu \mathrm{T}$
4 $350 \mu \mathrm{T}$
Moving Charges & Magnetism

153518 An a.c generator consists of a coil of 100 turns and is of cross-sectional area $3 \mathrm{~m}^{2}$. It is rotating at a constant angular speed of $60 \mathrm{rad} / \mathrm{sec}$ in a uniform magnetic field of $0.04 \mathrm{~T}$. Resistance of the coil is $360 \Omega$. What is the maximum power dissipation in the coil?

1 $720 \mathrm{~W}$
2 $518 \mathrm{~W}$
3 $360 \mathrm{~W}$
4 $100 \mathrm{~W}$
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Moving Charges & Magnetism

153515 A charged particle having charge $q$ and mass $m$ moving at a constant velocity $v$ enters a transverse uniform magnetic field of strength $B$. It move in a circular path of radius

1 $\frac{\mathrm{mqB}}{\mathrm{v}}$
2 $\frac{\mathrm{mq}}{\mathrm{Bv}}$
3 $\frac{\mathrm{mv}}{\mathrm{Bq}}$
4 $\frac{\mathrm{mB}}{\mathrm{vq}}$
Moving Charges & Magnetism

153516 A charged particle having charge $2 \mathrm{C}$ is thrown with velocity $2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}$ inside a region having $\overrightarrow{\mathbf{E}}=\mathbf{2} \hat{\mathbf{j}}$ and magnetic field $\overrightarrow{\mathbf{B}}=\mathbf{5} \hat{\mathbf{k}}$. The initial Lorentz force acting on the particle is

1 $30 \hat{i}-16 \hat{j}$
2 $16 \hat{i}+30 \hat{j}$
3 $15 \hat{i}+8 \hat{j}$
4 $30 \hat{i}+16 \hat{j}$
Moving Charges & Magnetism

153517 Electron moves to a region of uniform magnetic filed $B$ in the plane perpendicular to B. It finishes an orbit in $1 \mu \mathrm{s}$. What is the nearest value of $B$ among the following [mass of electron $=9 \times 10^{-31} \mathrm{~kg}$ ]

1 $2.5 \mu \mathrm{T}$
2 $3.5 \mu \mathrm{T}$
3 $35 \mu \mathrm{T}$
4 $350 \mu \mathrm{T}$
Moving Charges & Magnetism

153518 An a.c generator consists of a coil of 100 turns and is of cross-sectional area $3 \mathrm{~m}^{2}$. It is rotating at a constant angular speed of $60 \mathrm{rad} / \mathrm{sec}$ in a uniform magnetic field of $0.04 \mathrm{~T}$. Resistance of the coil is $360 \Omega$. What is the maximum power dissipation in the coil?

1 $720 \mathrm{~W}$
2 $518 \mathrm{~W}$
3 $360 \mathrm{~W}$
4 $100 \mathrm{~W}$