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

153524 An alternating electric field of frequency ' $v$ ' is applied across the dees of a cyclotron which is used to accelerate protons of mass ' $m$ '. The radius of the dees is ' $R$ '. The operating magnetic field used in cyclotron is ' $B$ '. The kinetic energy of the proton beam is given by

1 $2 \mathrm{~m} \pi^{2} v^{2} \mathrm{R}^{2}$
2 $2 \mathrm{~m} \pi v^{2} \mathrm{R}^{2}$
3 $\mathrm{m} \pi v^{2} \mathrm{R}^{2}$
4 $m \pi v^{2} R^{2}$
Moving Charges & Magnetism

153525 A charged particle is moving in a uniform magnetic field in a circular path of radius ' $R$ '. When the energy of the particle becomes three times the original, the new radius will be

1 $\sqrt{3} \mathrm{R}$
2 $\frac{R}{3}$
3 $\mathrm{R}$
4 $3 \mathrm{R}$
Moving Charges & Magnetism

153526 An ' $\alpha$ ' particle of energy $10 \mathrm{eV}$ is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be mass of ' $\alpha$ ' particle $=4$ times mass of proton

1 $16 \mathrm{eV}$
2 $8 \mathrm{eV}$
3 $4 \mathrm{eV}$
4 $10 \mathrm{eV}$
Moving Charges & Magnetism

153527 A charged particle is always moving parallel to the direction of magnetic field. The magnetic force acting on the particle will be

1 perpendicular to its velocity
2 along its velocity
3 zero
4 opposite to its velocity
Moving Charges & Magnetism

153524 An alternating electric field of frequency ' $v$ ' is applied across the dees of a cyclotron which is used to accelerate protons of mass ' $m$ '. The radius of the dees is ' $R$ '. The operating magnetic field used in cyclotron is ' $B$ '. The kinetic energy of the proton beam is given by

1 $2 \mathrm{~m} \pi^{2} v^{2} \mathrm{R}^{2}$
2 $2 \mathrm{~m} \pi v^{2} \mathrm{R}^{2}$
3 $\mathrm{m} \pi v^{2} \mathrm{R}^{2}$
4 $m \pi v^{2} R^{2}$
Moving Charges & Magnetism

153525 A charged particle is moving in a uniform magnetic field in a circular path of radius ' $R$ '. When the energy of the particle becomes three times the original, the new radius will be

1 $\sqrt{3} \mathrm{R}$
2 $\frac{R}{3}$
3 $\mathrm{R}$
4 $3 \mathrm{R}$
Moving Charges & Magnetism

153526 An ' $\alpha$ ' particle of energy $10 \mathrm{eV}$ is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be mass of ' $\alpha$ ' particle $=4$ times mass of proton

1 $16 \mathrm{eV}$
2 $8 \mathrm{eV}$
3 $4 \mathrm{eV}$
4 $10 \mathrm{eV}$
Moving Charges & Magnetism

153527 A charged particle is always moving parallel to the direction of magnetic field. The magnetic force acting on the particle will be

1 perpendicular to its velocity
2 along its velocity
3 zero
4 opposite to its velocity
Moving Charges & Magnetism

153524 An alternating electric field of frequency ' $v$ ' is applied across the dees of a cyclotron which is used to accelerate protons of mass ' $m$ '. The radius of the dees is ' $R$ '. The operating magnetic field used in cyclotron is ' $B$ '. The kinetic energy of the proton beam is given by

1 $2 \mathrm{~m} \pi^{2} v^{2} \mathrm{R}^{2}$
2 $2 \mathrm{~m} \pi v^{2} \mathrm{R}^{2}$
3 $\mathrm{m} \pi v^{2} \mathrm{R}^{2}$
4 $m \pi v^{2} R^{2}$
Moving Charges & Magnetism

153525 A charged particle is moving in a uniform magnetic field in a circular path of radius ' $R$ '. When the energy of the particle becomes three times the original, the new radius will be

1 $\sqrt{3} \mathrm{R}$
2 $\frac{R}{3}$
3 $\mathrm{R}$
4 $3 \mathrm{R}$
Moving Charges & Magnetism

153526 An ' $\alpha$ ' particle of energy $10 \mathrm{eV}$ is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be mass of ' $\alpha$ ' particle $=4$ times mass of proton

1 $16 \mathrm{eV}$
2 $8 \mathrm{eV}$
3 $4 \mathrm{eV}$
4 $10 \mathrm{eV}$
Moving Charges & Magnetism

153527 A charged particle is always moving parallel to the direction of magnetic field. The magnetic force acting on the particle will be

1 perpendicular to its velocity
2 along its velocity
3 zero
4 opposite to its velocity
Moving Charges & Magnetism

153524 An alternating electric field of frequency ' $v$ ' is applied across the dees of a cyclotron which is used to accelerate protons of mass ' $m$ '. The radius of the dees is ' $R$ '. The operating magnetic field used in cyclotron is ' $B$ '. The kinetic energy of the proton beam is given by

1 $2 \mathrm{~m} \pi^{2} v^{2} \mathrm{R}^{2}$
2 $2 \mathrm{~m} \pi v^{2} \mathrm{R}^{2}$
3 $\mathrm{m} \pi v^{2} \mathrm{R}^{2}$
4 $m \pi v^{2} R^{2}$
Moving Charges & Magnetism

153525 A charged particle is moving in a uniform magnetic field in a circular path of radius ' $R$ '. When the energy of the particle becomes three times the original, the new radius will be

1 $\sqrt{3} \mathrm{R}$
2 $\frac{R}{3}$
3 $\mathrm{R}$
4 $3 \mathrm{R}$
Moving Charges & Magnetism

153526 An ' $\alpha$ ' particle of energy $10 \mathrm{eV}$ is moving in a circular path in uniform magnetic field. The energy of proton moving in the same path and same magnetic field will be mass of ' $\alpha$ ' particle $=4$ times mass of proton

1 $16 \mathrm{eV}$
2 $8 \mathrm{eV}$
3 $4 \mathrm{eV}$
4 $10 \mathrm{eV}$
Moving Charges & Magnetism

153527 A charged particle is always moving parallel to the direction of magnetic field. The magnetic force acting on the particle will be

1 perpendicular to its velocity
2 along its velocity
3 zero
4 opposite to its velocity