Free Printable Magnetism Formula & Concepts

1.

A charge particle q is moving in a region of magnetic field. Magnetic force is given by:

a)

$q\left(\overrightarrow{\ v}\times\overrightarrow{B}\right)$

b)

$q\left(\overrightarrow{\ B}\times\overrightarrow{v}\right)$

2.

A straight current carrying wire is placed in a region of uniform magnetic field. Force on the wire is:

a)

$I\left(\overrightarrow{B}\times\overrightarrow{l}\right)$

b)

$I\left(\overrightarrow{l}\times\overrightarrow{B}\right)$

c)

$l\left(\overrightarrow{I}\times\overrightarrow{l}\right)$

d)

$l\left(\overrightarrow{B}\times\overrightarrow{I}\right)$

3.

Which of the following is (are) correct about magnetic moment of a PLANE Current carrying loop of area A, current i and number of turns N? Current is clockwise.

a)

m= iA

b)

m=NiA

c)

Direction of m = into the plane

d)

Direction of m = out of the plane

4.

Torque acting on a magnetic dipole placed in external magnetic field. Angle between m and B is theta.

a)

$\tau=mB\sin\theta$

b)

$\tau=mB\cos\theta$

c)

Direction: turn $\overrightarrow{m}$ towards $\overrightarrow{B}$ using right hand

d)

Direction turn $\overrightarrow{B}$ towards $\overrightarrow{m}$ using right hand

5.

$U=-mB\cos\theta$

In the expression for potential energy of magnetic dipole placed in external magnetic field B, , the angle theta is between

a)

$\overrightarrow{m}\ and\ \overrightarrow{B}$

b)

plane of loop and B

6.

Which of the following is NOT the correct expression for radius of a charge particle in magnetic field?

a)

$R=\frac{K}{qBv}$

b)

$R=\frac{\sqrt{2mK}}{qB}$ K is Kinetic Energy

c)

$R=\frac{p}{qB}$ , p is momentum

d)

$R=\frac{mv}{qB}$

7.

Which of the following fact is useful in the design of a cyclotron?

a)

Time period $\propto$ mass

b)

Frequency is independent of velocity

c)

Frequency is independent of charge

d)

Time period is independent of mass

8.

Which of the following is (are) NOT correct about a cyclotron?

a)

B leads to increase in KE

b)

E leads to increase in KE

c)

B leads to change in direction

d)

E leads to change in direction

9.

For a finite current carrying wire.

a)

$\frac{\mu_0}{4\pi}\times\frac{I}{a}\times\left(\sin\alpha-\sin\beta\right)$

b)

$\frac{\mu_0}{4\pi}\times\frac{I}{a}\times\left(\cos\alpha-\cos\beta\right)$

c)

$\frac{\mu_0}{4\pi}\times\frac{I}{a}\times\left(\sin\alpha+\sin\beta\right)$

d)

$\frac{\mu_0}{4\pi}\times\frac{I}{a}\times\left(\cos\alpha+\cos\beta\right)$

10.

To get the direction of magnetic field due to a STRAIGHT current carrying wire, which hand do we use for finger curl rule? What does thumb represent?

a)

RIGHT Hand

b)

LEFT Hand

c)

Thumb = current

d)

Thumb = magnetic field

11.

Which of the following is (are) correct about B due to infinite and semi-infinite current carrying wires? Here a is distance from wire, I is current.

B=\frac{\mu_0I}{\beta\pi a}

a)

$\beta=2$ infinite wire

b)

$\beta=2$ semi-infinite wire

c)

$\beta=4$ infinite wire

d)

$\beta=4$ semi-infinite wire

12.

Magnetic field (B) due to a circular loop (radius R) of current (I) with single turn at the centre of the loop is:

a)

$\frac{\mu_0}{4\pi}\times\frac{I}{R}$

b)

$\frac{\mu_0}{2}\times\frac{I}{R}$

c)

$\frac{\mu_0}{4\pi}\times\frac{I}{R}\times\pi$

d)

$\frac{\mu_0}{2}\times\frac{I}{R^2}$

13.

B at the centre of a square loop (side a) carrying current I is:

a)

$\frac{2\sqrt{2}\mu_0}{\pi}\times\frac{I}{a}$

b)

$\frac{\sqrt{2}\mu_0}{\pi}\times\frac{I}{a}$

c)

$\frac{\sqrt{2}\mu_0}{4\pi}\times\frac{I}{a}$

d)

$\frac{\mu_0}{2\sqrt{2}\pi}\times\frac{I}{a}$

14.

a)

$B=\frac{\mu_0IR^2N}{2\pi\left(R^2+x^2\right)^{1.5}}$

b)

$B=\frac{\mu_0IR^2N}{2\left(R^2+x^2\right)^{1.5}}$

c)

$B=\frac{\mu_0IR^2N}{2\left(R^2+x^2\right)^3}$

d)

$B=\frac{\mu_0I\times N}{2\left(R^2+x^2\right)^{1.5}}$

15.

A charge particle (q) is moving in a circular path (radius R). mass of the particle is m. Then the ratio $\frac{magnetic\ moment}{angular\ momentum}$ =

a)

$\frac{2q}{m}$

b)

$\frac{q}{2m}$

c)

$\frac{q}{m}$

d)

$\frac{2q}{m}R$

16.

If two long parallel current carrying wires carry current in SAME direction then the wires___

a)

repel each other with different force

b)

repel each other with same same force

c)

attract each other with same same force

d)

repel each other with different same force

17.

Force PER unit length between two current LONG and parallel carrying wires with separation d is given by:

a)

$\frac{\mu\ _0}{2\pi\ }\times\frac{I_1I_2}{d}$

b)

$\frac{\mu\ _0}{4\pi\ }\times\frac{I_1I_2}{d}$

c)

$\frac{\mu\ _0}{2\pi\ }\times\frac{I_1I_2}{d^2}$

d)

$\frac{\mu\ _0}{4\pi\ }\times\frac{I_1I_2}{d^2}$

18.

Which of the following are correct SI units of magnetic field (B)?

a)

T, tesla

b)

Wb, weber

c)

$\frac{Wb}{m^2}$

d)

$\frac{N}{A.m}$

19.

With reference to old SI definition of 1 ampere current in terms of force between two parallel current carrying wires, which of the following is (are) correct?

a)

both wires carry 1 A current

b)

separation between wires is 1 m

c)

force of 2 X 10^-7 N per metre

d)

force of 4 X 10^-7 N per metre

20.

B near the centre of solenoid is:

(n= turns per unit length)

a)

$\mu_0nI$

b)

$\frac{\mu_0nI}{2}$

c)

$\frac{\mu_0nI}{4}$

d)

$2\mu_0nI$

21.

B at the ends of solenoid with n turns per unit length.

a)

$\mu_0nI$

b)

$\frac{\mu_0nI}{2}\ \$

c)

$\frac{\mu_0nI}{4}$

d)

$2\mu_0nI$

22.

Magnetic field inside (blue region) a thin solenoid of average radius R
N= total number of turns

a)

$\frac{\mu_0Ni}{4\pi R}$

b)

$\frac{\mu_0Ni}{4R}$

c)

$\mu_0Ni$

d)

$\frac{\mu_0Ni}{2\pi R}$

23.

Which of the following is the Curie-Weiss law, for ferromagnetic materials?

a)

$\chi=\frac{c}{T+T_c}$

b)

$\chi=\frac{c}{T}$

c)

$\chi=\frac{c}{T-T_c}$

d)

$\chi=\frac{\mu_0T}{c}$

24.

Which of the following is the relation between susceptibility and relative permeability ?

a)

$\chi=1-\mu_r$

b)

$\chi=1+\mu_r$

c)

$\chi=\frac{1}{\mu_r}$

d)

$\chi=\ \mu_r$

25.

Relation between Magnetic Intensity (H) and total magnetic field inside a solenoid is: (M is the magnetization of the magnetic material core inside solenoid)

a)

$\vec{H}=\mu_0\left(\vec{B}-\vec{M}\right)$

b)

$\overrightarrow{H}=\frac{\overrightarrow{B}}{\mu_0}-\overrightarrow{M}$

c)

$\vec{H}=\frac{\overrightarrow{B}}{\mu_0}+\overrightarrow{M}$

d)

$\overrightarrow{H}=\frac{\overrightarrow{M}}{\mu_0}-\overrightarrow{B}$

26.

Magnetization (or intensity of magnetization) , M =

(here, m= total magnetic moment of a bar magnet)

a)

m

b)

m X volume

c)

m/volume

27.

Magnetic field due to a point charge (q) moving with velocity (v) at a distance r from the charge is:

a)

$\frac{\ \mu_0}{4\pi}\text{}q\frac{\vec{v}\times\vec{r}}{r^2}$

b)

$\frac{\ \mu_0}{4\pi}\text{}q\frac{\vec{r}\times\vec{v}}{r^3}$

c)

$\frac{\ \mu_0}{4\pi}\text{}q\frac{\vec{v}\times\vec{r}}{r^3}$

d)

$\frac{\ \mu_0}{4\pi}\text{}q\frac{\vec{v}\times\vec{r}}{r}$

28.

Which of the following materials repels external magnetic field?

a)

para magnetic

b)

ferro magnetic

c)

dia magnetic

29.

Pole strength of a pole of a magnet is defined as:

(here m= total magnetic moment, M= magnetization)

a)

$\frac{m}{length}$

b)

$\frac{M}{length}$

c)

$\frac{m}{volume}$

d)

$\frac{M}{volume}$

30.

Value of H required to make the magnetization (M) of a bar magnet inside a solenoid = zero, refers to

a)

retentivity

b)

coercivity

c)

permeability

d)

permittivity

31.

How was your QUIZ experience?

a)

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Magnetism Formula & Concepts

Total questions: 31

Worksheet time: 17mins

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