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

153575 A proton and an $\alpha$-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25 \mu \mathrm{s}$ to make 5 revolutions, then the periodic time for the $\alpha$ particle would be

1 $50 \mu \mathrm{s}$
2 $25 \mu \mathrm{s}$
3 $10 \mu \mathrm{s}$
4 $5 \mu \mathrm{s}$
Moving Charges & Magnetism

153576 A charged particle of charge $q$ of mass $m$ moves in a circular path of radius $r$ is a magnetic field of intensity $B$. The frequency of revolution will be

1 $\mathrm{qB} / 2 \pi \mathrm{m}$
2 $\mathrm{qB} / 2 \pi \mathrm{rm}$
3 $\mathrm{qB} / 2 \pi \mathrm{q}$
4 None of the above
Moving Charges & Magnetism

153578 The charge on a particle $Y$ is double the charge on particle $X$. These two particles $X$ and $Y$ after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_{1}$ and $R_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is

1 $\left(2 R_{1} / R_{2}\right)^{2}$
2 $\left(R_{1} / 2 R_{2}\right)^{2}$
3 $\mathrm{R}_{1}^{2} / 2 \mathrm{R}_{2}^{2}$
4 $2 \mathrm{R}_{1} / \mathrm{R}_{2}$
Moving Charges & Magnetism

153583 A charged particle moving in a uniform magnetic field and losses $4 \%$ of its kinetic energy. The radius of curvature of its path changes by

1 $2 \%$
2 $4 \%$
3 $10 \%$
4 $15 \%$
Moving Charges & Magnetism

153575 A proton and an $\alpha$-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25 \mu \mathrm{s}$ to make 5 revolutions, then the periodic time for the $\alpha$ particle would be

1 $50 \mu \mathrm{s}$
2 $25 \mu \mathrm{s}$
3 $10 \mu \mathrm{s}$
4 $5 \mu \mathrm{s}$
Moving Charges & Magnetism

153576 A charged particle of charge $q$ of mass $m$ moves in a circular path of radius $r$ is a magnetic field of intensity $B$. The frequency of revolution will be

1 $\mathrm{qB} / 2 \pi \mathrm{m}$
2 $\mathrm{qB} / 2 \pi \mathrm{rm}$
3 $\mathrm{qB} / 2 \pi \mathrm{q}$
4 None of the above
Moving Charges & Magnetism

153578 The charge on a particle $Y$ is double the charge on particle $X$. These two particles $X$ and $Y$ after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_{1}$ and $R_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is

1 $\left(2 R_{1} / R_{2}\right)^{2}$
2 $\left(R_{1} / 2 R_{2}\right)^{2}$
3 $\mathrm{R}_{1}^{2} / 2 \mathrm{R}_{2}^{2}$
4 $2 \mathrm{R}_{1} / \mathrm{R}_{2}$
Moving Charges & Magnetism

153583 A charged particle moving in a uniform magnetic field and losses $4 \%$ of its kinetic energy. The radius of curvature of its path changes by

1 $2 \%$
2 $4 \%$
3 $10 \%$
4 $15 \%$
Moving Charges & Magnetism

153575 A proton and an $\alpha$-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25 \mu \mathrm{s}$ to make 5 revolutions, then the periodic time for the $\alpha$ particle would be

1 $50 \mu \mathrm{s}$
2 $25 \mu \mathrm{s}$
3 $10 \mu \mathrm{s}$
4 $5 \mu \mathrm{s}$
Moving Charges & Magnetism

153576 A charged particle of charge $q$ of mass $m$ moves in a circular path of radius $r$ is a magnetic field of intensity $B$. The frequency of revolution will be

1 $\mathrm{qB} / 2 \pi \mathrm{m}$
2 $\mathrm{qB} / 2 \pi \mathrm{rm}$
3 $\mathrm{qB} / 2 \pi \mathrm{q}$
4 None of the above
Moving Charges & Magnetism

153578 The charge on a particle $Y$ is double the charge on particle $X$. These two particles $X$ and $Y$ after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_{1}$ and $R_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is

1 $\left(2 R_{1} / R_{2}\right)^{2}$
2 $\left(R_{1} / 2 R_{2}\right)^{2}$
3 $\mathrm{R}_{1}^{2} / 2 \mathrm{R}_{2}^{2}$
4 $2 \mathrm{R}_{1} / \mathrm{R}_{2}$
Moving Charges & Magnetism

153583 A charged particle moving in a uniform magnetic field and losses $4 \%$ of its kinetic energy. The radius of curvature of its path changes by

1 $2 \%$
2 $4 \%$
3 $10 \%$
4 $15 \%$
Moving Charges & Magnetism

153575 A proton and an $\alpha$-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes $25 \mu \mathrm{s}$ to make 5 revolutions, then the periodic time for the $\alpha$ particle would be

1 $50 \mu \mathrm{s}$
2 $25 \mu \mathrm{s}$
3 $10 \mu \mathrm{s}$
4 $5 \mu \mathrm{s}$
Moving Charges & Magnetism

153576 A charged particle of charge $q$ of mass $m$ moves in a circular path of radius $r$ is a magnetic field of intensity $B$. The frequency of revolution will be

1 $\mathrm{qB} / 2 \pi \mathrm{m}$
2 $\mathrm{qB} / 2 \pi \mathrm{rm}$
3 $\mathrm{qB} / 2 \pi \mathrm{q}$
4 None of the above
Moving Charges & Magnetism

153578 The charge on a particle $Y$ is double the charge on particle $X$. These two particles $X$ and $Y$ after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii $R_{1}$ and $R_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is

1 $\left(2 R_{1} / R_{2}\right)^{2}$
2 $\left(R_{1} / 2 R_{2}\right)^{2}$
3 $\mathrm{R}_{1}^{2} / 2 \mathrm{R}_{2}^{2}$
4 $2 \mathrm{R}_{1} / \mathrm{R}_{2}$
Moving Charges & Magnetism

153583 A charged particle moving in a uniform magnetic field and losses $4 \%$ of its kinetic energy. The radius of curvature of its path changes by

1 $2 \%$
2 $4 \%$
3 $10 \%$
4 $15 \%$
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