00. Magnetic Flux, Faraday's Law
Electro Magnetic Induction

154498 Two horizontal wires of lengths $l_{1}$ and $l_{2}$, having the same mass $m$, are free to slide to in different vertical rails with velocities $v_{1}$ and $v_{2}$ respectively, in the same magnetic field $\vec{B}$ as shown in the figure. If $a_{1}$ and $a_{2}$ are the two horizontal wires respectively, then the necessary condition for $a_{1}>a_{2}$ is

1 $\frac{l_{1}}{l_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}$
2 $\frac{l_{1}}{l_{2}}=\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{2}$
3 $\frac{l_{1}}{l_{2}}>\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{1 / 2}$
4 $\frac{l_{1}}{l_{2}}>\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}$
Electro Magnetic Induction

154499 A wheel with 20 metallic spokes each $1 \mathrm{~m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}$. The induced emf between the axle and rim of the wheel will be $\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$

1 $2.51 \times 10^{-4} \mathrm{~V}$
2 $2.51 \times 10^{-5} \mathrm{~V}$
3 $4.0 \times 10^{-5} \mathrm{~V}$
4 $2.51 \mathrm{~V}$
Electro Magnetic Induction

154500 Light with an average flux of $20 \mathrm{~Wb} / \mathrm{cm}^{2}$ falls on a non-reflecting surface at normal incidence having surface area $20 \mathrm{~cm}^{2}$. The energy received by the surface during time span of 1 minute is

1 $12 \times 10^{3} \mathrm{~J}$
2 $24 \times 10^{3} \mathrm{~J}$
3 $48 \times 10^{3} \mathrm{~J}$
4 $10 \times 10^{3} \mathrm{~J}$
Electro Magnetic Induction

154503 The magnetic flux linked (in Weber) with a coil of resistance $10 \Omega$ is varying with respect to time ' $t$ ' as $\phi=4 t^{2}+2 t+1$. Then the current in the coil at time $t=1$ second is:

1 $0.5 \mathrm{~A}$
2 $2 \mathrm{~A}$
3 $1.5 \mathrm{~A}$
4 $1 \mathrm{~A}$
Electro Magnetic Induction

154504 An iron is placed parallel to the magnetic field of intensity $2000 \frac{\mathrm{A}}{\mathrm{m}}$. The magnetic flux through the rod is $6 \times 10^{-4} \mathrm{~Wb}$ and its crosssectional area is $3 \mathrm{~cm}^{2}$. The magnetic permeability of the rod in $\frac{W b}{A-m}$ is

1 $10^{-4}$
2 $10^{-3}$
3 $10^{-1}$
4 $10^{-2}$
Electro Magnetic Induction

154498 Two horizontal wires of lengths $l_{1}$ and $l_{2}$, having the same mass $m$, are free to slide to in different vertical rails with velocities $v_{1}$ and $v_{2}$ respectively, in the same magnetic field $\vec{B}$ as shown in the figure. If $a_{1}$ and $a_{2}$ are the two horizontal wires respectively, then the necessary condition for $a_{1}>a_{2}$ is

1 $\frac{l_{1}}{l_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}$
2 $\frac{l_{1}}{l_{2}}=\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{2}$
3 $\frac{l_{1}}{l_{2}}>\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{1 / 2}$
4 $\frac{l_{1}}{l_{2}}>\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}$
Electro Magnetic Induction

154499 A wheel with 20 metallic spokes each $1 \mathrm{~m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}$. The induced emf between the axle and rim of the wheel will be $\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$

1 $2.51 \times 10^{-4} \mathrm{~V}$
2 $2.51 \times 10^{-5} \mathrm{~V}$
3 $4.0 \times 10^{-5} \mathrm{~V}$
4 $2.51 \mathrm{~V}$
Electro Magnetic Induction

154500 Light with an average flux of $20 \mathrm{~Wb} / \mathrm{cm}^{2}$ falls on a non-reflecting surface at normal incidence having surface area $20 \mathrm{~cm}^{2}$. The energy received by the surface during time span of 1 minute is

1 $12 \times 10^{3} \mathrm{~J}$
2 $24 \times 10^{3} \mathrm{~J}$
3 $48 \times 10^{3} \mathrm{~J}$
4 $10 \times 10^{3} \mathrm{~J}$
Electro Magnetic Induction

154503 The magnetic flux linked (in Weber) with a coil of resistance $10 \Omega$ is varying with respect to time ' $t$ ' as $\phi=4 t^{2}+2 t+1$. Then the current in the coil at time $t=1$ second is:

1 $0.5 \mathrm{~A}$
2 $2 \mathrm{~A}$
3 $1.5 \mathrm{~A}$
4 $1 \mathrm{~A}$
Electro Magnetic Induction

154504 An iron is placed parallel to the magnetic field of intensity $2000 \frac{\mathrm{A}}{\mathrm{m}}$. The magnetic flux through the rod is $6 \times 10^{-4} \mathrm{~Wb}$ and its crosssectional area is $3 \mathrm{~cm}^{2}$. The magnetic permeability of the rod in $\frac{W b}{A-m}$ is

1 $10^{-4}$
2 $10^{-3}$
3 $10^{-1}$
4 $10^{-2}$
Electro Magnetic Induction

154498 Two horizontal wires of lengths $l_{1}$ and $l_{2}$, having the same mass $m$, are free to slide to in different vertical rails with velocities $v_{1}$ and $v_{2}$ respectively, in the same magnetic field $\vec{B}$ as shown in the figure. If $a_{1}$ and $a_{2}$ are the two horizontal wires respectively, then the necessary condition for $a_{1}>a_{2}$ is

1 $\frac{l_{1}}{l_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}$
2 $\frac{l_{1}}{l_{2}}=\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{2}$
3 $\frac{l_{1}}{l_{2}}>\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{1 / 2}$
4 $\frac{l_{1}}{l_{2}}>\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}$
Electro Magnetic Induction

154499 A wheel with 20 metallic spokes each $1 \mathrm{~m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}$. The induced emf between the axle and rim of the wheel will be $\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$

1 $2.51 \times 10^{-4} \mathrm{~V}$
2 $2.51 \times 10^{-5} \mathrm{~V}$
3 $4.0 \times 10^{-5} \mathrm{~V}$
4 $2.51 \mathrm{~V}$
Electro Magnetic Induction

154500 Light with an average flux of $20 \mathrm{~Wb} / \mathrm{cm}^{2}$ falls on a non-reflecting surface at normal incidence having surface area $20 \mathrm{~cm}^{2}$. The energy received by the surface during time span of 1 minute is

1 $12 \times 10^{3} \mathrm{~J}$
2 $24 \times 10^{3} \mathrm{~J}$
3 $48 \times 10^{3} \mathrm{~J}$
4 $10 \times 10^{3} \mathrm{~J}$
Electro Magnetic Induction

154503 The magnetic flux linked (in Weber) with a coil of resistance $10 \Omega$ is varying with respect to time ' $t$ ' as $\phi=4 t^{2}+2 t+1$. Then the current in the coil at time $t=1$ second is:

1 $0.5 \mathrm{~A}$
2 $2 \mathrm{~A}$
3 $1.5 \mathrm{~A}$
4 $1 \mathrm{~A}$
Electro Magnetic Induction

154504 An iron is placed parallel to the magnetic field of intensity $2000 \frac{\mathrm{A}}{\mathrm{m}}$. The magnetic flux through the rod is $6 \times 10^{-4} \mathrm{~Wb}$ and its crosssectional area is $3 \mathrm{~cm}^{2}$. The magnetic permeability of the rod in $\frac{W b}{A-m}$ is

1 $10^{-4}$
2 $10^{-3}$
3 $10^{-1}$
4 $10^{-2}$
Electro Magnetic Induction

154498 Two horizontal wires of lengths $l_{1}$ and $l_{2}$, having the same mass $m$, are free to slide to in different vertical rails with velocities $v_{1}$ and $v_{2}$ respectively, in the same magnetic field $\vec{B}$ as shown in the figure. If $a_{1}$ and $a_{2}$ are the two horizontal wires respectively, then the necessary condition for $a_{1}>a_{2}$ is

1 $\frac{l_{1}}{l_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}$
2 $\frac{l_{1}}{l_{2}}=\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{2}$
3 $\frac{l_{1}}{l_{2}}>\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{1 / 2}$
4 $\frac{l_{1}}{l_{2}}>\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}$
Electro Magnetic Induction

154499 A wheel with 20 metallic spokes each $1 \mathrm{~m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}$. The induced emf between the axle and rim of the wheel will be $\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$

1 $2.51 \times 10^{-4} \mathrm{~V}$
2 $2.51 \times 10^{-5} \mathrm{~V}$
3 $4.0 \times 10^{-5} \mathrm{~V}$
4 $2.51 \mathrm{~V}$
Electro Magnetic Induction

154500 Light with an average flux of $20 \mathrm{~Wb} / \mathrm{cm}^{2}$ falls on a non-reflecting surface at normal incidence having surface area $20 \mathrm{~cm}^{2}$. The energy received by the surface during time span of 1 minute is

1 $12 \times 10^{3} \mathrm{~J}$
2 $24 \times 10^{3} \mathrm{~J}$
3 $48 \times 10^{3} \mathrm{~J}$
4 $10 \times 10^{3} \mathrm{~J}$
Electro Magnetic Induction

154503 The magnetic flux linked (in Weber) with a coil of resistance $10 \Omega$ is varying with respect to time ' $t$ ' as $\phi=4 t^{2}+2 t+1$. Then the current in the coil at time $t=1$ second is:

1 $0.5 \mathrm{~A}$
2 $2 \mathrm{~A}$
3 $1.5 \mathrm{~A}$
4 $1 \mathrm{~A}$
Electro Magnetic Induction

154504 An iron is placed parallel to the magnetic field of intensity $2000 \frac{\mathrm{A}}{\mathrm{m}}$. The magnetic flux through the rod is $6 \times 10^{-4} \mathrm{~Wb}$ and its crosssectional area is $3 \mathrm{~cm}^{2}$. The magnetic permeability of the rod in $\frac{W b}{A-m}$ is

1 $10^{-4}$
2 $10^{-3}$
3 $10^{-1}$
4 $10^{-2}$
Electro Magnetic Induction

154498 Two horizontal wires of lengths $l_{1}$ and $l_{2}$, having the same mass $m$, are free to slide to in different vertical rails with velocities $v_{1}$ and $v_{2}$ respectively, in the same magnetic field $\vec{B}$ as shown in the figure. If $a_{1}$ and $a_{2}$ are the two horizontal wires respectively, then the necessary condition for $a_{1}>a_{2}$ is

1 $\frac{l_{1}}{l_{2}}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}$
2 $\frac{l_{1}}{l_{2}}=\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{2}$
3 $\frac{l_{1}}{l_{2}}>\left(\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}}\right)^{1 / 2}$
4 $\frac{l_{1}}{l_{2}}>\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}}$
Electro Magnetic Induction

154499 A wheel with 20 metallic spokes each $1 \mathrm{~m}$ long is rotated with a speed of $120 \mathrm{rpm}$ in a plane perpendicular to a magnetic field of $0.4 \mathrm{G}$. The induced emf between the axle and rim of the wheel will be $\left(1 \mathrm{G}=10^{-4} \mathrm{~T}\right)$

1 $2.51 \times 10^{-4} \mathrm{~V}$
2 $2.51 \times 10^{-5} \mathrm{~V}$
3 $4.0 \times 10^{-5} \mathrm{~V}$
4 $2.51 \mathrm{~V}$
Electro Magnetic Induction

154500 Light with an average flux of $20 \mathrm{~Wb} / \mathrm{cm}^{2}$ falls on a non-reflecting surface at normal incidence having surface area $20 \mathrm{~cm}^{2}$. The energy received by the surface during time span of 1 minute is

1 $12 \times 10^{3} \mathrm{~J}$
2 $24 \times 10^{3} \mathrm{~J}$
3 $48 \times 10^{3} \mathrm{~J}$
4 $10 \times 10^{3} \mathrm{~J}$
Electro Magnetic Induction

154503 The magnetic flux linked (in Weber) with a coil of resistance $10 \Omega$ is varying with respect to time ' $t$ ' as $\phi=4 t^{2}+2 t+1$. Then the current in the coil at time $t=1$ second is:

1 $0.5 \mathrm{~A}$
2 $2 \mathrm{~A}$
3 $1.5 \mathrm{~A}$
4 $1 \mathrm{~A}$
Electro Magnetic Induction

154504 An iron is placed parallel to the magnetic field of intensity $2000 \frac{\mathrm{A}}{\mathrm{m}}$. The magnetic flux through the rod is $6 \times 10^{-4} \mathrm{~Wb}$ and its crosssectional area is $3 \mathrm{~cm}^{2}$. The magnetic permeability of the rod in $\frac{W b}{A-m}$ is

1 $10^{-4}$
2 $10^{-3}$
3 $10^{-1}$
4 $10^{-2}$