Tag: physics

Questions Related to physics

In a given region a charge particle is moving under the effect of electric and magnetic field with uniform velocity $\vec{v}=(\hat{i}+\hat{j}-\hat{k})$ m/s and magnetic field is given as $\vec{B}=(2\hat{i}+\hat{j}-2k)T$. The electric field is given as?

  1. $({i}+{j}-{k})$ V/m

  2. $({i}-{j}+{k})$ V/m

  3. $({i}+k)$ V/m

  4. $(-{i}-{k})$ V/m


Correct Option: D
Explanation:

We know Force $F=qE$------(1)

and also $F=qV\times B$-----(2)
From 1 and 2 we get 
$V\times B=E$
$V\times B$=\begin{matrix} \hat { i }  & \hat { j }  & \hat { i }  \ 1 & 1 & -1 \ 2 & 1 & -2 \end{matrix}
$V\times B=(-2+1)\hat { i } -(-2+2)\hat { j } +(1-2)\hat { k } $
$V\times B==-\hat { i } -\hat { k } $

A long, straight, $non-$ conducting string, painted with a charge density of $40\mu\ c/m$, is pulled along its length at a speed of $300\ m/s$. The magnetic field at a normal distance of $5\ mm$ from the moving string is $4.8\times {10}^{-1}\ T$

  1. $4.8\times {10}^{-1}\ T$

  2. Zero

  3. $\infty$

  4. Cannot be found


Correct Option: A

 Two concentric circular coils of $10$ turns each are situated in the same plane. Their radii are $20$ cm and $40$ cm and carry currents of $0.2$ A and $0.3$ A respectively in opposite directions. The net magnetic induction field at their common centre is 

  1. $\cfrac {35\mu _0}{4}$

  2. $\cfrac {5\mu _0}{4}$

  3. $\cfrac {7\mu _0}{8}$

  4. $\cfrac {\mu _0}{80}$


Correct Option: B

A coil having resistance $40 \Omega$, number of turns 100 and radius 6 mm is connected to an ammeter of resistance $160 \Omega$. The coil is placed perpendicular to the magnetic field. When the coil is taken out of the field, a charge of $32 \mu C$ passes through it. The intensity of magnetic field will be

  1. 6.55 T

  2. 5.66 T

  3. 0.655 T

  4. 0.566 T


Correct Option: D

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to other. A charged particle is released from rest in this region. The path of the particle will be a:

  1. circle

  2. helix

  3. straight line

  4. ellipse


Correct Option: A

The magnetic lines of force like electrical lines of force

  1. Are closed

  2. Are not closed

  3. Are open

  4. Are not open


Correct Option: D

Assertion: Basic difference between electric lines and magnetic lines of force is that former are discontinuous and the latter are continuous
Reason: No electric lines of forces exit inside charged conductor but magnetic lines do exist inside magnet

  1. Both A and R are true and R is the correct explanation of A

  2. Both A and R are true and R is not correct explanation of A

  3. A is true, but R is false

  4. A is false, but R is true


Correct Option: A

If a charged particle goes unaccelerated in a region containing electric and magnetic fields:

  1. ${\vec E}$ must be parallel to ${\vec B}$

  2. ${\vec V}$ must be perpendicular to Electric field

  3. ${\vec V}$ must be parallel to ${\vec B}$

  4. $E$ must be equal to $vB$.


Correct Option: D
Explanation:

velocity must be perpendicular to B and d)E must be equal to vB. Explanation: Lorenz force is computed as F = q (E + v × B)

So, if particle is accelerated we must have qE = qvB and v × B = −vB First is possible when d is true and second is possible when d is true

An AC rms voltage of 2$\mathrm { V }$ having a frequeney of 50$\mathrm { KH }$ is applied to a condenser of capacity of 10 $\mu F$ The maximum value of the magnetic field between the plates of the condenser if the radius of plate is 10$\mathrm { cm }$ is

  1. 0.4$\pi \mu T$

  2. 4$\pi \mu T$

  3. 4$\mu T$

  4. 40$\pi \mu T$


Correct Option: B

The magnetic fields of atoms in a material are grouped together and aligned to form _________.

  1. Strong magnetic fields

  2. An area of magnetic field

  3. A region called magnetic domain

  4. A bar magnet


Correct Option: C
Explanation:

A magnetic domain is a region within a magnetic material in which the magnetization is in a uniform direction. This means that the individual magnetic moments of the atoms are aligned with one another and they point in the same direction.

The magnetic fields of atoms in a material are grouped together and aligned to form  region called magnetic domain