00. Biot-Savart's Law and Magnetic Field, Lorentz Force
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153128 A wire $X$ of length $50 \mathrm{~cm}$ carrying a current of $2 \mathrm{~A}$ is placed parallel to a long wire $\mathrm{Y}$ of length $5 \mathrm{~m}$. The wire $Y$ carries a current of $3 \mathrm{~A}$. The distance between two wires is $5 \mathrm{~cm}$ and currents flow in the same direction. The force acting on the wire $\mathrm{Y}$ is:

1 $1.2 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
2 $1.2 \times 10^{-4} \mathrm{~N}$ directed away from wire $\mathrm{X}$.
3 $1.2 \times 10^{-4} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
4 $2.4 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
Moving Charges & Magnetism

153129 Two long parallel conductors $S_{1}$ and $S_{2}$ are separated by a distance $10 \mathrm{~cm}$ and carrying currents of $4 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. The conductors are placed along $\mathrm{X}$-axis in $\mathrm{X}$-Y plane. There is a point $P$ located between the conductors (as shown in figure).
A charge particle of $3 \pi$ coulomb is passing through the point $P$ with velocity $\overrightarrow{\mathbf{v}}=(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}})$ $\mathbf{m} / \mathbf{s}$; where $\hat{\mathbf{i}}$ and $\hat{\mathbf{j}}$ represents unit vector along $x \& y$ axis respectively.
The force acting on the charge particle is $4 \pi \times$ $10^{-5}(-x \hat{i}+2 \hat{j}) N$. The value of $x$ is:

1 2
2 1
3 3
4 -3
Moving Charges & Magnetism

153131 $B_{X}$ and $B_{Y}$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively each carrying equal current. If coil $X$ has 200 turns and $20 \mathrm{~cm}$ radius and coil $Y$ has 400 turns and $20 \mathrm{~cm}$ radius, the ratio of $B_{X}$ and $B_{Y}$ is:

1 $1: 1$
2 $1: 2$
3 $2: 1$
4 $4: 1$
Moving Charges & Magnetism

153132 A charge particle is moving in a uniform magnetic field $(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}) \mathrm{T}$. If it has an acceleration of $(\alpha \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}^{2}$, then the value of $\alpha$ will be

1 8
2 6
3 12
4 2
Moving Charges & Magnetism

153128 A wire $X$ of length $50 \mathrm{~cm}$ carrying a current of $2 \mathrm{~A}$ is placed parallel to a long wire $\mathrm{Y}$ of length $5 \mathrm{~m}$. The wire $Y$ carries a current of $3 \mathrm{~A}$. The distance between two wires is $5 \mathrm{~cm}$ and currents flow in the same direction. The force acting on the wire $\mathrm{Y}$ is:

1 $1.2 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
2 $1.2 \times 10^{-4} \mathrm{~N}$ directed away from wire $\mathrm{X}$.
3 $1.2 \times 10^{-4} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
4 $2.4 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
Moving Charges & Magnetism

153129 Two long parallel conductors $S_{1}$ and $S_{2}$ are separated by a distance $10 \mathrm{~cm}$ and carrying currents of $4 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. The conductors are placed along $\mathrm{X}$-axis in $\mathrm{X}$-Y plane. There is a point $P$ located between the conductors (as shown in figure).
A charge particle of $3 \pi$ coulomb is passing through the point $P$ with velocity $\overrightarrow{\mathbf{v}}=(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}})$ $\mathbf{m} / \mathbf{s}$; where $\hat{\mathbf{i}}$ and $\hat{\mathbf{j}}$ represents unit vector along $x \& y$ axis respectively.
The force acting on the charge particle is $4 \pi \times$ $10^{-5}(-x \hat{i}+2 \hat{j}) N$. The value of $x$ is:

1 2
2 1
3 3
4 -3
Moving Charges & Magnetism

153131 $B_{X}$ and $B_{Y}$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively each carrying equal current. If coil $X$ has 200 turns and $20 \mathrm{~cm}$ radius and coil $Y$ has 400 turns and $20 \mathrm{~cm}$ radius, the ratio of $B_{X}$ and $B_{Y}$ is:

1 $1: 1$
2 $1: 2$
3 $2: 1$
4 $4: 1$
Moving Charges & Magnetism

153132 A charge particle is moving in a uniform magnetic field $(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}) \mathrm{T}$. If it has an acceleration of $(\alpha \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}^{2}$, then the value of $\alpha$ will be

1 8
2 6
3 12
4 2
Moving Charges & Magnetism

153128 A wire $X$ of length $50 \mathrm{~cm}$ carrying a current of $2 \mathrm{~A}$ is placed parallel to a long wire $\mathrm{Y}$ of length $5 \mathrm{~m}$. The wire $Y$ carries a current of $3 \mathrm{~A}$. The distance between two wires is $5 \mathrm{~cm}$ and currents flow in the same direction. The force acting on the wire $\mathrm{Y}$ is:

1 $1.2 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
2 $1.2 \times 10^{-4} \mathrm{~N}$ directed away from wire $\mathrm{X}$.
3 $1.2 \times 10^{-4} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
4 $2.4 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
Moving Charges & Magnetism

153129 Two long parallel conductors $S_{1}$ and $S_{2}$ are separated by a distance $10 \mathrm{~cm}$ and carrying currents of $4 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. The conductors are placed along $\mathrm{X}$-axis in $\mathrm{X}$-Y plane. There is a point $P$ located between the conductors (as shown in figure).
A charge particle of $3 \pi$ coulomb is passing through the point $P$ with velocity $\overrightarrow{\mathbf{v}}=(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}})$ $\mathbf{m} / \mathbf{s}$; where $\hat{\mathbf{i}}$ and $\hat{\mathbf{j}}$ represents unit vector along $x \& y$ axis respectively.
The force acting on the charge particle is $4 \pi \times$ $10^{-5}(-x \hat{i}+2 \hat{j}) N$. The value of $x$ is:

1 2
2 1
3 3
4 -3
Moving Charges & Magnetism

153131 $B_{X}$ and $B_{Y}$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively each carrying equal current. If coil $X$ has 200 turns and $20 \mathrm{~cm}$ radius and coil $Y$ has 400 turns and $20 \mathrm{~cm}$ radius, the ratio of $B_{X}$ and $B_{Y}$ is:

1 $1: 1$
2 $1: 2$
3 $2: 1$
4 $4: 1$
Moving Charges & Magnetism

153132 A charge particle is moving in a uniform magnetic field $(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}) \mathrm{T}$. If it has an acceleration of $(\alpha \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}^{2}$, then the value of $\alpha$ will be

1 8
2 6
3 12
4 2
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153128 A wire $X$ of length $50 \mathrm{~cm}$ carrying a current of $2 \mathrm{~A}$ is placed parallel to a long wire $\mathrm{Y}$ of length $5 \mathrm{~m}$. The wire $Y$ carries a current of $3 \mathrm{~A}$. The distance between two wires is $5 \mathrm{~cm}$ and currents flow in the same direction. The force acting on the wire $\mathrm{Y}$ is:

1 $1.2 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
2 $1.2 \times 10^{-4} \mathrm{~N}$ directed away from wire $\mathrm{X}$.
3 $1.2 \times 10^{-4} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
4 $2.4 \times 10^{-5} \mathrm{~N}$ directed towards wire $\mathrm{X}$.
Moving Charges & Magnetism

153129 Two long parallel conductors $S_{1}$ and $S_{2}$ are separated by a distance $10 \mathrm{~cm}$ and carrying currents of $4 \mathrm{~A}$ and $2 \mathrm{~A}$ respectively. The conductors are placed along $\mathrm{X}$-axis in $\mathrm{X}$-Y plane. There is a point $P$ located between the conductors (as shown in figure).
A charge particle of $3 \pi$ coulomb is passing through the point $P$ with velocity $\overrightarrow{\mathbf{v}}=(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}})$ $\mathbf{m} / \mathbf{s}$; where $\hat{\mathbf{i}}$ and $\hat{\mathbf{j}}$ represents unit vector along $x \& y$ axis respectively.
The force acting on the charge particle is $4 \pi \times$ $10^{-5}(-x \hat{i}+2 \hat{j}) N$. The value of $x$ is:

1 2
2 1
3 3
4 -3
Moving Charges & Magnetism

153131 $B_{X}$ and $B_{Y}$ are the magnetic field at the centre of two coils of two coils $X$ and $Y$ respectively each carrying equal current. If coil $X$ has 200 turns and $20 \mathrm{~cm}$ radius and coil $Y$ has 400 turns and $20 \mathrm{~cm}$ radius, the ratio of $B_{X}$ and $B_{Y}$ is:

1 $1: 1$
2 $1: 2$
3 $2: 1$
4 $4: 1$
Moving Charges & Magnetism

153132 A charge particle is moving in a uniform magnetic field $(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}) \mathrm{T}$. If it has an acceleration of $(\alpha \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}^{2}$, then the value of $\alpha$ will be

1 8
2 6
3 12
4 2