03. Inductance (Self and Mutual Induction)
Electro Magnetic Induction

154740 The self-inductance of a coil is $50 \mathrm{mH}$. When a current of $1 \mathrm{~A}$ passing through the coil reduces to zero at a steady rate in 0.1 seconds, then find the self-induced emf.

1 $5 \mathrm{~V}$
2 $0.05 \mathrm{~V}$
3 $50 \mathrm{~V}$
4 $0.5 \mathrm{~V}$
Electro Magnetic Induction

154724 Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass.
Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$
3 A is true but $R$ is false
4 A is false but R is true
Electro Magnetic Induction

154731 Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coil as $M$. The equivalent self inductance of the combination will be:
if woror berens,

1 $\frac{1}{\mathrm{~L}_{1}}+\frac{1}{\mathrm{~L}_{2}}+\frac{1}{\mathrm{M}}$
2 $\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$
3 $\mathrm{L}_{1}+\mathrm{L}_{2}+2 \mathrm{M}$
4 $\mathrm{L}_{1}+\mathrm{L}_{2}-2 \mathrm{M}$
Electro Magnetic Induction

154735 Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to

1 $\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}$
2 $\frac{R_{2}}{R_{1}}$
3 $\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
4 $\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Electro Magnetic Induction

154748 The self-inductance $L$ of a solenoid of length $l$ and area of cross-section $A$ increase with fixed number of turns $\mathrm{N}$ ) (Here,

1 $l$ And $\mathrm{A}$ increase
2 $l$ increases and $A$ decreases
3 $l$ decreases and $A$ increases
4 Both $l$ and A decreases
Electro Magnetic Induction

154740 The self-inductance of a coil is $50 \mathrm{mH}$. When a current of $1 \mathrm{~A}$ passing through the coil reduces to zero at a steady rate in 0.1 seconds, then find the self-induced emf.

1 $5 \mathrm{~V}$
2 $0.05 \mathrm{~V}$
3 $50 \mathrm{~V}$
4 $0.5 \mathrm{~V}$
Electro Magnetic Induction

154724 Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass.
Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$
3 A is true but $R$ is false
4 A is false but R is true
Electro Magnetic Induction

154731 Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coil as $M$. The equivalent self inductance of the combination will be:
if woror berens,

1 $\frac{1}{\mathrm{~L}_{1}}+\frac{1}{\mathrm{~L}_{2}}+\frac{1}{\mathrm{M}}$
2 $\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$
3 $\mathrm{L}_{1}+\mathrm{L}_{2}+2 \mathrm{M}$
4 $\mathrm{L}_{1}+\mathrm{L}_{2}-2 \mathrm{M}$
Electro Magnetic Induction

154735 Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to

1 $\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}$
2 $\frac{R_{2}}{R_{1}}$
3 $\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
4 $\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Electro Magnetic Induction

154748 The self-inductance $L$ of a solenoid of length $l$ and area of cross-section $A$ increase with fixed number of turns $\mathrm{N}$ ) (Here,

1 $l$ And $\mathrm{A}$ increase
2 $l$ increases and $A$ decreases
3 $l$ decreases and $A$ increases
4 Both $l$ and A decreases
Electro Magnetic Induction

154740 The self-inductance of a coil is $50 \mathrm{mH}$. When a current of $1 \mathrm{~A}$ passing through the coil reduces to zero at a steady rate in 0.1 seconds, then find the self-induced emf.

1 $5 \mathrm{~V}$
2 $0.05 \mathrm{~V}$
3 $50 \mathrm{~V}$
4 $0.5 \mathrm{~V}$
Electro Magnetic Induction

154724 Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass.
Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$
3 A is true but $R$ is false
4 A is false but R is true
Electro Magnetic Induction

154731 Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coil as $M$. The equivalent self inductance of the combination will be:
if woror berens,

1 $\frac{1}{\mathrm{~L}_{1}}+\frac{1}{\mathrm{~L}_{2}}+\frac{1}{\mathrm{M}}$
2 $\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$
3 $\mathrm{L}_{1}+\mathrm{L}_{2}+2 \mathrm{M}$
4 $\mathrm{L}_{1}+\mathrm{L}_{2}-2 \mathrm{M}$
Electro Magnetic Induction

154735 Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to

1 $\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}$
2 $\frac{R_{2}}{R_{1}}$
3 $\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
4 $\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Electro Magnetic Induction

154748 The self-inductance $L$ of a solenoid of length $l$ and area of cross-section $A$ increase with fixed number of turns $\mathrm{N}$ ) (Here,

1 $l$ And $\mathrm{A}$ increase
2 $l$ increases and $A$ decreases
3 $l$ decreases and $A$ increases
4 Both $l$ and A decreases
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Electro Magnetic Induction

154740 The self-inductance of a coil is $50 \mathrm{mH}$. When a current of $1 \mathrm{~A}$ passing through the coil reduces to zero at a steady rate in 0.1 seconds, then find the self-induced emf.

1 $5 \mathrm{~V}$
2 $0.05 \mathrm{~V}$
3 $50 \mathrm{~V}$
4 $0.5 \mathrm{~V}$
Electro Magnetic Induction

154724 Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass.
Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$
3 A is true but $R$ is false
4 A is false but R is true
Electro Magnetic Induction

154731 Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coil as $M$. The equivalent self inductance of the combination will be:
if woror berens,

1 $\frac{1}{\mathrm{~L}_{1}}+\frac{1}{\mathrm{~L}_{2}}+\frac{1}{\mathrm{M}}$
2 $\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$
3 $\mathrm{L}_{1}+\mathrm{L}_{2}+2 \mathrm{M}$
4 $\mathrm{L}_{1}+\mathrm{L}_{2}-2 \mathrm{M}$
Electro Magnetic Induction

154735 Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to

1 $\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}$
2 $\frac{R_{2}}{R_{1}}$
3 $\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
4 $\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Electro Magnetic Induction

154748 The self-inductance $L$ of a solenoid of length $l$ and area of cross-section $A$ increase with fixed number of turns $\mathrm{N}$ ) (Here,

1 $l$ And $\mathrm{A}$ increase
2 $l$ increases and $A$ decreases
3 $l$ decreases and $A$ increases
4 Both $l$ and A decreases
Electro Magnetic Induction

154740 The self-inductance of a coil is $50 \mathrm{mH}$. When a current of $1 \mathrm{~A}$ passing through the coil reduces to zero at a steady rate in 0.1 seconds, then find the self-induced emf.

1 $5 \mathrm{~V}$
2 $0.05 \mathrm{~V}$
3 $50 \mathrm{~V}$
4 $0.5 \mathrm{~V}$
Electro Magnetic Induction

154724 Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with same geometry and mass.
Reason R: For the magnetic bar, Eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

1 Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
2 Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$
3 A is true but $R$ is false
4 A is false but R is true
Electro Magnetic Induction

154731 Two coils of self inductance $L_{1}$ and $L_{2}$ are connected in series combination having mutual inductance of the coil as $M$. The equivalent self inductance of the combination will be:
if woror berens,

1 $\frac{1}{\mathrm{~L}_{1}}+\frac{1}{\mathrm{~L}_{2}}+\frac{1}{\mathrm{M}}$
2 $\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$
3 $\mathrm{L}_{1}+\mathrm{L}_{2}+2 \mathrm{M}$
4 $\mathrm{L}_{1}+\mathrm{L}_{2}-2 \mathrm{M}$
Electro Magnetic Induction

154735 Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to

1 $\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}$
2 $\frac{R_{2}}{R_{1}}$
3 $\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
4 $\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Electro Magnetic Induction

154748 The self-inductance $L$ of a solenoid of length $l$ and area of cross-section $A$ increase with fixed number of turns $\mathrm{N}$ ) (Here,

1 $l$ And $\mathrm{A}$ increase
2 $l$ increases and $A$ decreases
3 $l$ decreases and $A$ increases
4 Both $l$ and A decreases