01. Amperes Law (∞, Length, Solenoid, Toroid)
Moving Charges & Magnetism

153466 A solenoid of $2.5 \mathrm{~m}$ length and $2.0 \mathrm{~cm}$ diameter possesses 10 turns per $\mathrm{cm}$. A current of $0.5 \mathrm{~A}$ is flowing through it. The magnetic induction at axis inside the solenoid is

1 $2 \pi \times 10^{-4} \mathrm{~T}$
2 $2 \pi \times 10^{-5} \mathrm{~T}$
3 $2 \pi \times 10^{-6} \mathrm{~T}$
4 $2 \pi \times 10^{-7} \mathrm{~T}$
Moving Charges & Magnetism

153469 The coercivity of a small bar magnet is $4 \times 10^{3}$ $\mathrm{A} / \mathrm{m}$. It is inserted inside a solenoid of 500 turns and length $1 \mathrm{~m}$ to dimagnetise it. The amount of current to be passed through the solenoid will be

1 $2.5 \mathrm{~A}$
2 $5 \mathrm{~A}$
3 $8 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153470 There are 50 turns of a wire is very $\mathrm{cm}$ length of a long solenoid. If $4 \mathrm{~A}$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at as internal point and at one end will be respectively

1 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$6.3 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $25.1 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Moving Charges & Magnetism

153468 Assertion: If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason: Magnetic field energy density is proportional to square of current.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect.
Moving Charges & Magnetism

153471 Two long parallel wires $P$ and $Q$ are both perpendicular to the plane of the paper with distance $5 \mathrm{~m}$ between them. If $P$ and $Q$ carry current of $2.5 \mathrm{~A}$ and $5 \mathrm{~A}$ respectively in the same direction, then the magnetic field at a point half way between the wires is

1 $\frac{\sqrt{3} \mu_{0}}{2 \pi}$
2 $\frac{\mu_{0}}{\pi}$
3 $\frac{3 \mu_{0}}{2 \pi}$
4 $\frac{\mu_{0}}{2 \pi}$
Moving Charges & Magnetism

153466 A solenoid of $2.5 \mathrm{~m}$ length and $2.0 \mathrm{~cm}$ diameter possesses 10 turns per $\mathrm{cm}$. A current of $0.5 \mathrm{~A}$ is flowing through it. The magnetic induction at axis inside the solenoid is

1 $2 \pi \times 10^{-4} \mathrm{~T}$
2 $2 \pi \times 10^{-5} \mathrm{~T}$
3 $2 \pi \times 10^{-6} \mathrm{~T}$
4 $2 \pi \times 10^{-7} \mathrm{~T}$
Moving Charges & Magnetism

153469 The coercivity of a small bar magnet is $4 \times 10^{3}$ $\mathrm{A} / \mathrm{m}$. It is inserted inside a solenoid of 500 turns and length $1 \mathrm{~m}$ to dimagnetise it. The amount of current to be passed through the solenoid will be

1 $2.5 \mathrm{~A}$
2 $5 \mathrm{~A}$
3 $8 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153470 There are 50 turns of a wire is very $\mathrm{cm}$ length of a long solenoid. If $4 \mathrm{~A}$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at as internal point and at one end will be respectively

1 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$6.3 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $25.1 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Moving Charges & Magnetism

153468 Assertion: If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason: Magnetic field energy density is proportional to square of current.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect.
Moving Charges & Magnetism

153471 Two long parallel wires $P$ and $Q$ are both perpendicular to the plane of the paper with distance $5 \mathrm{~m}$ between them. If $P$ and $Q$ carry current of $2.5 \mathrm{~A}$ and $5 \mathrm{~A}$ respectively in the same direction, then the magnetic field at a point half way between the wires is

1 $\frac{\sqrt{3} \mu_{0}}{2 \pi}$
2 $\frac{\mu_{0}}{\pi}$
3 $\frac{3 \mu_{0}}{2 \pi}$
4 $\frac{\mu_{0}}{2 \pi}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153466 A solenoid of $2.5 \mathrm{~m}$ length and $2.0 \mathrm{~cm}$ diameter possesses 10 turns per $\mathrm{cm}$. A current of $0.5 \mathrm{~A}$ is flowing through it. The magnetic induction at axis inside the solenoid is

1 $2 \pi \times 10^{-4} \mathrm{~T}$
2 $2 \pi \times 10^{-5} \mathrm{~T}$
3 $2 \pi \times 10^{-6} \mathrm{~T}$
4 $2 \pi \times 10^{-7} \mathrm{~T}$
Moving Charges & Magnetism

153469 The coercivity of a small bar magnet is $4 \times 10^{3}$ $\mathrm{A} / \mathrm{m}$. It is inserted inside a solenoid of 500 turns and length $1 \mathrm{~m}$ to dimagnetise it. The amount of current to be passed through the solenoid will be

1 $2.5 \mathrm{~A}$
2 $5 \mathrm{~A}$
3 $8 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153470 There are 50 turns of a wire is very $\mathrm{cm}$ length of a long solenoid. If $4 \mathrm{~A}$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at as internal point and at one end will be respectively

1 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$6.3 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $25.1 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Moving Charges & Magnetism

153468 Assertion: If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason: Magnetic field energy density is proportional to square of current.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect.
Moving Charges & Magnetism

153471 Two long parallel wires $P$ and $Q$ are both perpendicular to the plane of the paper with distance $5 \mathrm{~m}$ between them. If $P$ and $Q$ carry current of $2.5 \mathrm{~A}$ and $5 \mathrm{~A}$ respectively in the same direction, then the magnetic field at a point half way between the wires is

1 $\frac{\sqrt{3} \mu_{0}}{2 \pi}$
2 $\frac{\mu_{0}}{\pi}$
3 $\frac{3 \mu_{0}}{2 \pi}$
4 $\frac{\mu_{0}}{2 \pi}$
Moving Charges & Magnetism

153466 A solenoid of $2.5 \mathrm{~m}$ length and $2.0 \mathrm{~cm}$ diameter possesses 10 turns per $\mathrm{cm}$. A current of $0.5 \mathrm{~A}$ is flowing through it. The magnetic induction at axis inside the solenoid is

1 $2 \pi \times 10^{-4} \mathrm{~T}$
2 $2 \pi \times 10^{-5} \mathrm{~T}$
3 $2 \pi \times 10^{-6} \mathrm{~T}$
4 $2 \pi \times 10^{-7} \mathrm{~T}$
Moving Charges & Magnetism

153469 The coercivity of a small bar magnet is $4 \times 10^{3}$ $\mathrm{A} / \mathrm{m}$. It is inserted inside a solenoid of 500 turns and length $1 \mathrm{~m}$ to dimagnetise it. The amount of current to be passed through the solenoid will be

1 $2.5 \mathrm{~A}$
2 $5 \mathrm{~A}$
3 $8 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153470 There are 50 turns of a wire is very $\mathrm{cm}$ length of a long solenoid. If $4 \mathrm{~A}$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at as internal point and at one end will be respectively

1 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$6.3 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $25.1 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Moving Charges & Magnetism

153468 Assertion: If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason: Magnetic field energy density is proportional to square of current.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect.
Moving Charges & Magnetism

153471 Two long parallel wires $P$ and $Q$ are both perpendicular to the plane of the paper with distance $5 \mathrm{~m}$ between them. If $P$ and $Q$ carry current of $2.5 \mathrm{~A}$ and $5 \mathrm{~A}$ respectively in the same direction, then the magnetic field at a point half way between the wires is

1 $\frac{\sqrt{3} \mu_{0}}{2 \pi}$
2 $\frac{\mu_{0}}{\pi}$
3 $\frac{3 \mu_{0}}{2 \pi}$
4 $\frac{\mu_{0}}{2 \pi}$
Moving Charges & Magnetism

153466 A solenoid of $2.5 \mathrm{~m}$ length and $2.0 \mathrm{~cm}$ diameter possesses 10 turns per $\mathrm{cm}$. A current of $0.5 \mathrm{~A}$ is flowing through it. The magnetic induction at axis inside the solenoid is

1 $2 \pi \times 10^{-4} \mathrm{~T}$
2 $2 \pi \times 10^{-5} \mathrm{~T}$
3 $2 \pi \times 10^{-6} \mathrm{~T}$
4 $2 \pi \times 10^{-7} \mathrm{~T}$
Moving Charges & Magnetism

153469 The coercivity of a small bar magnet is $4 \times 10^{3}$ $\mathrm{A} / \mathrm{m}$. It is inserted inside a solenoid of 500 turns and length $1 \mathrm{~m}$ to dimagnetise it. The amount of current to be passed through the solenoid will be

1 $2.5 \mathrm{~A}$
2 $5 \mathrm{~A}$
3 $8 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153470 There are 50 turns of a wire is very $\mathrm{cm}$ length of a long solenoid. If $4 \mathrm{~A}$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at as internal point and at one end will be respectively

1 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$6.3 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $25.1 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $25.1 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
$12.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Moving Charges & Magnetism

153468 Assertion: If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.
Reason: Magnetic field energy density is proportional to square of current.

1 If both Assertion and Reason are correct and reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
3 If Assertion is correct but Reason is incorrect
4 If both the Assertion and Reason are incorrect.
Moving Charges & Magnetism

153471 Two long parallel wires $P$ and $Q$ are both perpendicular to the plane of the paper with distance $5 \mathrm{~m}$ between them. If $P$ and $Q$ carry current of $2.5 \mathrm{~A}$ and $5 \mathrm{~A}$ respectively in the same direction, then the magnetic field at a point half way between the wires is

1 $\frac{\sqrt{3} \mu_{0}}{2 \pi}$
2 $\frac{\mu_{0}}{\pi}$
3 $\frac{3 \mu_{0}}{2 \pi}$
4 $\frac{\mu_{0}}{2 \pi}$