Magnetic effect of current practice · Mixed difficulty

In the cyclotron, as radius of the circular path of the charged particle increases :
$(\omega=$ angular velocity, $v=$ linear velocity)

A coil carrying electric current is placed in
uniform magnetic field, then

Given below are two statements:
Statement (I): When currents vary with time, Newton’s third law is valid only if momentum carried by the electromagnetic field is taken into account.
Statement (II): Ampere's circuital law does not depend on Biot-Savart’s law.
In the light of the above statements, choose the correct answer from the options given below:

A tangent galvanometer shows a deflection $45^\circ$ when $10\;mA$ current passes through it. If the horizontal component of the earth’s field is $3.6 \times {10^{ - 5}}T$  and radius of the coil is $10\;cm$. The number of turns in the coil is

A stray magnetic field does ‘NOT’ affect the
deflection of moving coil galvanometer because

A charged particle moves in a gravity free space without change in velocity. Which of the following is not possible in that space?

If $2 \%$ of the main current is to be passed through the galvanometer of resistance $G$, the resistance of shunt required is

A wire is formed into a circle having a diameter of $10.0 \mathrm{~cm}$ and placed in a uniform magnetic field of $3.00 \mathrm{~mT}$. The wire carries a current of $5.00 \mathrm{~A}$. Find (a) the maximum torque on the wire, and (b) the range of potential energies of the wire-field system for different orientations of the circle.

If the number of turns per unit length of a coil of a solenoid is doubled, the self inductance of the solenoid will

If the angular momentum of an electron is $\vec J\;$ then the magnitude of the magnetic moment will be

Assertion: The ion cannot move with speed beyond a certain limit in a cyclotron.

Reason: As velocity increases time taken by ion increases.

Assertion (A): In M.C.G, the deflection '$\theta$' is directly proportional to the strength of the current.

Reason (R): In M.C.G., the the torque experienced by the loop is $\mathrm {BiAN}\cos\theta$

This question has Statement I and Statement II. Of the four choices given after the statements, choose the one that best describes the two statements.

Statement I Higher the range, greater is the resistance of ammeter.

Statement II To increase the range of ammeter, additional shunt needs to be used across it.

The force experienced by a charge $q$ having velocity $v$ parallel to a magnetic field $B$ which acts on the charge

Statement-1: Two long parallel conductors carrying currents in the same direction experience a force of attraction.
Statement-2: The magnetic produced in the space between the conductors are in the same direction.

The current that must flow through the coil of a galvanometer so as to produce a deflection of one division on its scale is called

Assertion: A current carrying toroid is freely suspended in uniform magnetic field then torque acts on it is always zero.
Reason: The magnetic moment of current carrying toroid is zero.

A current carrying straight wire is kept along
the axis of a circular loop carrying a current.
The straight wire

A long solenoid of length $40 \mathrm{~cm}$ having 240 turns carries a current of $5 \mathrm{~A}$. The magnetic field at the centre of the solenoid is

If a velocity has both perpendicular and
parallel components while moving through a
magnetic field, what is the path followed by a
charged particle ?

A battery of emf $12 \mathrm{~V}$ and internal resistance $1.2 \Omega$ supplies a current through a coil of resistance $48 \Omega$. A voltmeter of resistance $72 \Omega$ is used to measure the potential difference across the coil. What would be the reading on the voltmeter ?

A moving coil galvanometer has $N$ number of turns in a coil of effective area $A$, it carries a current $I$. The magnetic field $B$ is radial. The torque acting on the coil is

Assertion (A): If a proton and an $\alpha$-particle enter a uniform magnetic field perpendicularly with the same speed, then the time period of revolution of the $\alpha$-particle is double than that of proton.
Reason (R): In a magnetic field, the time period of revolution of a charged particle is directly proportional to mass.

Which of the following statements is wrong

A long hollow tube is carrying an electric current along its length distributed uniformly over its surface. The magnetic field

Assertion: A moving charged particle gets energy from magnetic field.
Reason: Magnetic force works on moving charged particle.

An electron is revolving around a proton in a circular path of diameter $0.1 {~nm}$. It produces a magnetic field $14 {~T}$ at a proton. Then the angular speed of the electron is

In the hydrogen atom, the electron is making $6.6 \times 10^{15} \mathrm{rps}$. If the radius of orbits is $0.53 \times 10^{-}$ ${ }^{10} \mathrm{~m}$, then magnetic field produced at the centre of the orbit is

A thin magnetic needle is bent to form a semicircle. What will be the percentage change in equivalent dipole moment?

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by: