03. Motion of Charge Particle in Combined of Electric and Magnetic Field
Moving Charges & Magnetism

153725 To a charged particle which is moving with a constant initial velocity $\overrightarrow{\mathbf{v}}$, uniform magnetic field is applied in the direction of the velocity

1 the particle moves in a spiral path
2 the particle moves in a circular path
3 the particle moves in a parabolic path
4 there is no change in the motion of the particle
Moving Charges & Magnetism

153726 An electron beam passes through a magnetic field of $2 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$ and an electric field of $1.0 \times 10^{4} \mathrm{~V} / \mathrm{m}$ both acting simultaneously. The path of electron remains undeviated.
The speed of electron if the electric field is removed and the radius of electron path will be respectively.

1 $10 \times 10^{6} \mathrm{~m} / \mathrm{s}, 2.43 \mathrm{~cm}$
2 $2.5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 0.43 \mathrm{~cm}$
3 $5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 1.43 \mathrm{~cm}$
4 none of these
Moving Charges & Magnetism

153728 When a proton is released from rest in a room, it starts with an initial acceleration $a_{0}$ towards West. When it is projected towards North with a speed $v_{0}$ it moves with an initial acceleration $3 \mathrm{a}_{0}$ towards West. The electric and magnetic fields in the room are

1 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
2 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
3 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
4 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
Moving Charges & Magnetism

153730 If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

1 $\mathrm{E}=\mathrm{vB}$
2 $\mathrm{E} \neq 0, \mathrm{~B}=0$
3 $\mathrm{E}=0, \mathrm{~B} \neq 0$
4 $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$
Moving Charges & Magnetism

153725 To a charged particle which is moving with a constant initial velocity $\overrightarrow{\mathbf{v}}$, uniform magnetic field is applied in the direction of the velocity

1 the particle moves in a spiral path
2 the particle moves in a circular path
3 the particle moves in a parabolic path
4 there is no change in the motion of the particle
Moving Charges & Magnetism

153726 An electron beam passes through a magnetic field of $2 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$ and an electric field of $1.0 \times 10^{4} \mathrm{~V} / \mathrm{m}$ both acting simultaneously. The path of electron remains undeviated.
The speed of electron if the electric field is removed and the radius of electron path will be respectively.

1 $10 \times 10^{6} \mathrm{~m} / \mathrm{s}, 2.43 \mathrm{~cm}$
2 $2.5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 0.43 \mathrm{~cm}$
3 $5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 1.43 \mathrm{~cm}$
4 none of these
Moving Charges & Magnetism

153728 When a proton is released from rest in a room, it starts with an initial acceleration $a_{0}$ towards West. When it is projected towards North with a speed $v_{0}$ it moves with an initial acceleration $3 \mathrm{a}_{0}$ towards West. The electric and magnetic fields in the room are

1 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
2 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
3 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
4 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
Moving Charges & Magnetism

153730 If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

1 $\mathrm{E}=\mathrm{vB}$
2 $\mathrm{E} \neq 0, \mathrm{~B}=0$
3 $\mathrm{E}=0, \mathrm{~B} \neq 0$
4 $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$
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Moving Charges & Magnetism

153725 To a charged particle which is moving with a constant initial velocity $\overrightarrow{\mathbf{v}}$, uniform magnetic field is applied in the direction of the velocity

1 the particle moves in a spiral path
2 the particle moves in a circular path
3 the particle moves in a parabolic path
4 there is no change in the motion of the particle
Moving Charges & Magnetism

153726 An electron beam passes through a magnetic field of $2 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$ and an electric field of $1.0 \times 10^{4} \mathrm{~V} / \mathrm{m}$ both acting simultaneously. The path of electron remains undeviated.
The speed of electron if the electric field is removed and the radius of electron path will be respectively.

1 $10 \times 10^{6} \mathrm{~m} / \mathrm{s}, 2.43 \mathrm{~cm}$
2 $2.5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 0.43 \mathrm{~cm}$
3 $5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 1.43 \mathrm{~cm}$
4 none of these
Moving Charges & Magnetism

153728 When a proton is released from rest in a room, it starts with an initial acceleration $a_{0}$ towards West. When it is projected towards North with a speed $v_{0}$ it moves with an initial acceleration $3 \mathrm{a}_{0}$ towards West. The electric and magnetic fields in the room are

1 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
2 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
3 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
4 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
Moving Charges & Magnetism

153730 If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

1 $\mathrm{E}=\mathrm{vB}$
2 $\mathrm{E} \neq 0, \mathrm{~B}=0$
3 $\mathrm{E}=0, \mathrm{~B} \neq 0$
4 $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$
Moving Charges & Magnetism

153725 To a charged particle which is moving with a constant initial velocity $\overrightarrow{\mathbf{v}}$, uniform magnetic field is applied in the direction of the velocity

1 the particle moves in a spiral path
2 the particle moves in a circular path
3 the particle moves in a parabolic path
4 there is no change in the motion of the particle
Moving Charges & Magnetism

153726 An electron beam passes through a magnetic field of $2 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$ and an electric field of $1.0 \times 10^{4} \mathrm{~V} / \mathrm{m}$ both acting simultaneously. The path of electron remains undeviated.
The speed of electron if the electric field is removed and the radius of electron path will be respectively.

1 $10 \times 10^{6} \mathrm{~m} / \mathrm{s}, 2.43 \mathrm{~cm}$
2 $2.5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 0.43 \mathrm{~cm}$
3 $5 \times 10^{6} \mathrm{~m} / \mathrm{s}, 1.43 \mathrm{~cm}$
4 none of these
Moving Charges & Magnetism

153728 When a proton is released from rest in a room, it starts with an initial acceleration $a_{0}$ towards West. When it is projected towards North with a speed $v_{0}$ it moves with an initial acceleration $3 \mathrm{a}_{0}$ towards West. The electric and magnetic fields in the room are

1 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
2 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ West, $\frac{2 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
3 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ up
4 $\frac{\mathrm{ma}_{0}}{\mathrm{e}}$ East, $\frac{3 \mathrm{ma}_{0}}{\mathrm{ev}_{0}}$ down
Moving Charges & Magnetism

153730 If $E$ and $B$ are the magnitudes of electric and magnetic fields respectively in some region of space, then the possibilities for which a charged particle may move in that space with a uniform velocity of magnitude $v$ are

1 $\mathrm{E}=\mathrm{vB}$
2 $\mathrm{E} \neq 0, \mathrm{~B}=0$
3 $\mathrm{E}=0, \mathrm{~B} \neq 0$
4 $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$