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

153502 A long straight wire of circular cross-section (radius a) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section.
The magnetic field is

1 Zero in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to $r$ in the region $r>a$
2 Inversely proportional to $r$ in the region $r\lt$ a and uniform throughout in the region $r>a$
3 Directly proportional to $r$ in the region $r\lt$ a and inversely proportional to $r$ in the region $r$ $>\mathrm{a}$
4 Uniform in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to distance $r$ form the axis, in the region $\mathrm{r}>\mathrm{a}$
Moving Charges & Magnetism

153503 A charge particle moving in magnetic field $B$, has the components of velocity along $B$ as well as perpendicular to $B$. The path of the charge particle will be

1 helical path with the axis perpendicular to the direction of magnetic field $B$
2 straight along the direction of magnetic field B
3 helical path with the axis along magnetic field $\mathrm{B}$
4 circular path
Moving Charges & Magnetism

153505 A wire of length $1 \mathrm{~m}$ moving with velocity $8 \mathrm{~m} / \mathrm{s}$ at right angles to a magnetic field of $2 \mathrm{~T}$. The magnitude of induced emf, between the ends of wire will be

1 $20 \mathrm{~V}$
2 $16 \mathrm{~V}$
3 $8 \mathrm{~V}$
4 $12 \mathrm{~V}$
Moving Charges & Magnetism

153506 As shown in the figure, a current of $2 A$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centric $O$ of the triangle is (Neglect the effect of earth's magnetic field)

1 $4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
2 $\sqrt{3} \times 10^{-4} \mathrm{~T}$
3 $4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
4 $3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
Moving Charges & Magnetism

153510 Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be:

1 $8: 5$
2 $4: 5$
3 $5: 3$
4 $8: 7$
Moving Charges & Magnetism

153502 A long straight wire of circular cross-section (radius a) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section.
The magnetic field is

1 Zero in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to $r$ in the region $r>a$
2 Inversely proportional to $r$ in the region $r\lt$ a and uniform throughout in the region $r>a$
3 Directly proportional to $r$ in the region $r\lt$ a and inversely proportional to $r$ in the region $r$ $>\mathrm{a}$
4 Uniform in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to distance $r$ form the axis, in the region $\mathrm{r}>\mathrm{a}$
Moving Charges & Magnetism

153503 A charge particle moving in magnetic field $B$, has the components of velocity along $B$ as well as perpendicular to $B$. The path of the charge particle will be

1 helical path with the axis perpendicular to the direction of magnetic field $B$
2 straight along the direction of magnetic field B
3 helical path with the axis along magnetic field $\mathrm{B}$
4 circular path
Moving Charges & Magnetism

153505 A wire of length $1 \mathrm{~m}$ moving with velocity $8 \mathrm{~m} / \mathrm{s}$ at right angles to a magnetic field of $2 \mathrm{~T}$. The magnitude of induced emf, between the ends of wire will be

1 $20 \mathrm{~V}$
2 $16 \mathrm{~V}$
3 $8 \mathrm{~V}$
4 $12 \mathrm{~V}$
Moving Charges & Magnetism

153506 As shown in the figure, a current of $2 A$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centric $O$ of the triangle is (Neglect the effect of earth's magnetic field)

1 $4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
2 $\sqrt{3} \times 10^{-4} \mathrm{~T}$
3 $4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
4 $3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
Moving Charges & Magnetism

153510 Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be:

1 $8: 5$
2 $4: 5$
3 $5: 3$
4 $8: 7$
Moving Charges & Magnetism

153502 A long straight wire of circular cross-section (radius a) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section.
The magnetic field is

1 Zero in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to $r$ in the region $r>a$
2 Inversely proportional to $r$ in the region $r\lt$ a and uniform throughout in the region $r>a$
3 Directly proportional to $r$ in the region $r\lt$ a and inversely proportional to $r$ in the region $r$ $>\mathrm{a}$
4 Uniform in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to distance $r$ form the axis, in the region $\mathrm{r}>\mathrm{a}$
Moving Charges & Magnetism

153503 A charge particle moving in magnetic field $B$, has the components of velocity along $B$ as well as perpendicular to $B$. The path of the charge particle will be

1 helical path with the axis perpendicular to the direction of magnetic field $B$
2 straight along the direction of magnetic field B
3 helical path with the axis along magnetic field $\mathrm{B}$
4 circular path
Moving Charges & Magnetism

153505 A wire of length $1 \mathrm{~m}$ moving with velocity $8 \mathrm{~m} / \mathrm{s}$ at right angles to a magnetic field of $2 \mathrm{~T}$. The magnitude of induced emf, between the ends of wire will be

1 $20 \mathrm{~V}$
2 $16 \mathrm{~V}$
3 $8 \mathrm{~V}$
4 $12 \mathrm{~V}$
Moving Charges & Magnetism

153506 As shown in the figure, a current of $2 A$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centric $O$ of the triangle is (Neglect the effect of earth's magnetic field)

1 $4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
2 $\sqrt{3} \times 10^{-4} \mathrm{~T}$
3 $4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
4 $3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
Moving Charges & Magnetism

153510 Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be:

1 $8: 5$
2 $4: 5$
3 $5: 3$
4 $8: 7$
Moving Charges & Magnetism

153502 A long straight wire of circular cross-section (radius a) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section.
The magnetic field is

1 Zero in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to $r$ in the region $r>a$
2 Inversely proportional to $r$ in the region $r\lt$ a and uniform throughout in the region $r>a$
3 Directly proportional to $r$ in the region $r\lt$ a and inversely proportional to $r$ in the region $r$ $>\mathrm{a}$
4 Uniform in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to distance $r$ form the axis, in the region $\mathrm{r}>\mathrm{a}$
Moving Charges & Magnetism

153503 A charge particle moving in magnetic field $B$, has the components of velocity along $B$ as well as perpendicular to $B$. The path of the charge particle will be

1 helical path with the axis perpendicular to the direction of magnetic field $B$
2 straight along the direction of magnetic field B
3 helical path with the axis along magnetic field $\mathrm{B}$
4 circular path
Moving Charges & Magnetism

153505 A wire of length $1 \mathrm{~m}$ moving with velocity $8 \mathrm{~m} / \mathrm{s}$ at right angles to a magnetic field of $2 \mathrm{~T}$. The magnitude of induced emf, between the ends of wire will be

1 $20 \mathrm{~V}$
2 $16 \mathrm{~V}$
3 $8 \mathrm{~V}$
4 $12 \mathrm{~V}$
Moving Charges & Magnetism

153506 As shown in the figure, a current of $2 A$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centric $O$ of the triangle is (Neglect the effect of earth's magnetic field)

1 $4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
2 $\sqrt{3} \times 10^{-4} \mathrm{~T}$
3 $4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
4 $3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
Moving Charges & Magnetism

153510 Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be:

1 $8: 5$
2 $4: 5$
3 $5: 3$
4 $8: 7$
Moving Charges & Magnetism

153502 A long straight wire of circular cross-section (radius a) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section.
The magnetic field is

1 Zero in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to $r$ in the region $r>a$
2 Inversely proportional to $r$ in the region $r\lt$ a and uniform throughout in the region $r>a$
3 Directly proportional to $r$ in the region $r\lt$ a and inversely proportional to $r$ in the region $r$ $>\mathrm{a}$
4 Uniform in the region $\mathrm{r}\lt\mathrm{a}$ and inversely proportional to distance $r$ form the axis, in the region $\mathrm{r}>\mathrm{a}$
Moving Charges & Magnetism

153503 A charge particle moving in magnetic field $B$, has the components of velocity along $B$ as well as perpendicular to $B$. The path of the charge particle will be

1 helical path with the axis perpendicular to the direction of magnetic field $B$
2 straight along the direction of magnetic field B
3 helical path with the axis along magnetic field $\mathrm{B}$
4 circular path
Moving Charges & Magnetism

153505 A wire of length $1 \mathrm{~m}$ moving with velocity $8 \mathrm{~m} / \mathrm{s}$ at right angles to a magnetic field of $2 \mathrm{~T}$. The magnitude of induced emf, between the ends of wire will be

1 $20 \mathrm{~V}$
2 $16 \mathrm{~V}$
3 $8 \mathrm{~V}$
4 $12 \mathrm{~V}$
Moving Charges & Magnetism

153506 As shown in the figure, a current of $2 A$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centric $O$ of the triangle is (Neglect the effect of earth's magnetic field)

1 $4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
2 $\sqrt{3} \times 10^{-4} \mathrm{~T}$
3 $4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
4 $3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
Moving Charges & Magnetism

153510 Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be:

1 $8: 5$
2 $4: 5$
3 $5: 3$
4 $8: 7$