Magnetic effect of current practice · Mixed difficulty

Two tangent galvanometer having coils of the same radius are connected in series. A current flowing in them produces of $60^\circ$and 45$^ \circ$ respectively. The ratio of the number of turns in the coil is

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.
Reason (R): Moving charged particle experiences magnetic force perpendicular to its direction of motion.

A circular coil of radius $5\,\,cm$ has   turns carries a current of $2.6\,A$. The magnetic induction at a point on the axis at a distance of $12\,\,cm$ from the centre of the coil is

A vertical rectangular coil of sides $5\,cm \times 2\,cm$ has 10 turns and carries a current of $2\,A$. The torque (couple) on the coil when it is placed in a uniform horizontal magnetic field of $0.1\,\,T$ with its plane perpendicular to the field is

A proton and a deuteron enter in a uniform magnetic field with equal kinetic energy in the direction perpendicular to the field. The ratio of radius of circular path is

How many meters of a thin wire are required to manufacture a solenoid of length $l=100 \mathrm{~cm}$ and inductance $L=1 \mathrm{~mH}$, if the solenoid's cross-sectional diameter is considerably less than its length

In a tangent galvanometer a deflection of $30^\circ$ is obtained with a certain current flowing through the coil If the current is tripled, the deflection obtained will be

The magnetic field at the origin due to a current element $i . d l$ placed at a point with vector position $\mathbf{r}$
The correct Biot-Savart law in vector form is :

A charge ${q}$ moves in a region where electric field and magnetic field both exist, then force on it is

The materials for the construction of electro magnets should have

An insulating rod of length $l$ carries a charge $q$ distributed uniformly on it. The rod is pivoted at an end and is rotated at a frequency $f$ about a fixed perpendicular axis. The magnetic moment of the system is :

The gyromagnetic ratio of an electron $=$ $\_\_\_\_$ specific charge of an electron.

A proton is revolving in a circular path with constant speed. Angle between angular momentum and magnetic dipole moment associated with it is

A galvanometer of interval resistance $100\Omega$ has a full scale deflection current of 1 mA. To convert it into a voltmeter of range 0-10 V, the resistance to be connected is

A current of 3 A is flowing in a linear conductor having a length of 40 cm. The conductor is placed in a magnetic field of strength 500 gauss and makes an angle of $30^\circ$ with the direction of the field. It experiences a force of magnitude

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

Reason: As velocity increases time taken by ion increases.

3 A of current is flowing in a linear conductor having a length of $40 \mathrm{~cm}$. The conductor is placed in a magnetic field of strength 500 Gauss and makes an angle of $30^{\circ}$ with the direction of the field. It experiences a force of magnitude

A straight long conductor carries current along the positive $x$-axis. Identify the correct statement related to the four points $A(a, a, 0), B(a, 0, a), C(a,-a, 0)$ and $D(a, 0,-a)$.

The momentum of a charged particle moving in a perpendicular magnetic field depends on

A proton of velocity $\left( {3\hat i + 2\hat j} \right) \times {10^5}\mathrm{m}{\mathrm{s}^{ - 1}}$ enters a magnetic field $\left( {2\hat i + 3\hat k} \right)$ T. If the specific charge is $9.6 \times {10^7}C\,k{g^{ - 1}}$. The acceleration of the proton in $\mathrm{m}{\mathrm{s}^{ - 2}}$ is

A charge $q$ is moving with a velocity $v$ parallel to a magnetic field $B$. Force on the charge due to magnetic field is

Assertion: A circular loop carrying current lies in XY plane with its centre at origin having a magnetic flux in negative Z-axis.

Reason: Magnetic flux direction is independent of the direction of current in the conductor.

If an ammeter is joined in parallel through a circuit, it can be damaged due to excess

A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle '$\theta$' to the horizontal, the maximum height attained by it equals $4R.$ The angle of projection '$\theta$' is then given by:

S-I: A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.

S-II: Any two charged particles having same kinetic energy are moving an circular paths in a uniform magnetic field $\vec{B}$ in a direction perpendicular to $\overrightarrow{\mathrm{B}}$, will describe circular trajectories of equal radii.

The magnetic field inside a 200 turns solenoid of radius 10 cm is $2.9 \times 10^{-4}$ Tesla. If the solenoid carries a current of 0.29 A, then the length of the solenoid is ____ $\pi \mathrm{~cm}.$

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

A current $I$ flows along the length of an infinitely long, straight, thin-walled pipe. Then

A current- carrying short coil behaves likes a short magnet. If the area of the coil is $A$ and magnetic moment is $M$, then current in the coil is

The area of the coil in a moving coil galvanometer is $15\,\,c{m^2}$ and has 20 turns. The magnetic induction is 0.2 T and the couple per unit twist of the suspended wire is ${10^{ - 6}}\,Nm$ per degree. If the deflection is ${45^0}$, the current passing through it is