A charged particle moves in a gravity-free space without change in velocity. Which of the following is/are possible?

a.	\(E=0,~B=0\)
b.	\(E=0,~B\neq0\)
c.	\(E\neq0,~B=0\)
d.	\(E\neq0,~B\neq0\)

Choose the correct option:

1.	(a), (b), (d)
2.	(b), (c), (a)
3.	(c), (d), (b)
4.	(a), (c), (d)

A charged particle moves along a circle under the action of possible constant electric and magnetic fields. Which of the following are possible?

Choose the correct option:
1. (a), (b) 
2. (b) only
3. (c), (d) 
4. (a), (d) 

A charged particle goes undeflected in a region containing electric and magnetic field. It is possible that 

(a)  \(\overrightarrow{\mathrm{E}}\|\overrightarrow{\mathrm{B}} \quad \overrightarrow{\mathrm{v}}\| \overrightarrow{\mathrm{E}}\)
(b)  \(\overrightarrow{\mathrm{E}}\) is not parallel to   \(\overrightarrow{\mathrm{B}}\)
(c)   \(\overrightarrow{\mathrm{v}} \| \overrightarrow{\mathrm{B}}\) but   \(\overrightarrow{\mathrm{E}}\) is not parallel to  \(\overrightarrow{\mathrm{B}}\)
(d)   \(\overrightarrow{\mathrm{E}} \| \overrightarrow{\mathrm{B}}\)  but   \(\overrightarrow{\mathrm{v}}\) is not parallel to \(\overrightarrow{\mathrm{E}}\)

Choose the correct option 

1. (a), (b)

2. (b), (c)

3. (c), (d)

4. (a), (d)

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

(a)   \(\overrightarrow{\mathrm{E}}\)  must be perpendicular to  \(\overrightarrow{\mathrm{B}}\)
(b)  \(\overrightarrow{\mathrm{v}}\)  must be perpendicular to  \(\overrightarrow{\mathrm{E}}\)
(c)   \(\overrightarrow{\mathrm{v}}\) must be perpendicular to  \(\overrightarrow{\mathrm{B}}\)
(d)  E must be equal to vB.

Choose the correct option 

1. (a), (b)

2. (b), (c)

3. (c), (d)

4. (a), (d)

Two ions have equal masses but one is singly-ionized and the other is doubly-ionized. They are projected from the same place in a uniform magnetic field with the same velocity perpendicular to the field.
(a) Both ions will go along circles of equal radii.
(b) The circle described by the singly-ionized charge will have a radius double that of the other circle.
(c) The two circles do not touch each other.
(d) The two circles touch each other.
Choose the correct option: 

1. (a), (b)
2. (b), (c)
3. (b), (d)
4. (a), (d)

An electron is moving along the positive x-axis. You want to apply a magnetic field for a short time so that the electron may reverse its direction and move parallel to the negative x-axis. This can be done by applying the magnetic field along
(a) y-axis
(b) z-axis
(c) y-axis only
(d) z-axis only
Choose the correct option:
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d)

Let \(\overrightarrow{\mathrm{E}}\)and \(\overrightarrow{\mathrm{B}}\)denote electric and magnetic fields in a frame S and \(\overrightarrow{\mathrm{E}}\) and \(\overrightarrow{\mathrm{B}}\) in another frame S' moving with respect to S at a velocity  \(\overrightarrow{\mathrm{v}}\) Two of the following are wrong. Identify them.

(a) B_y’ = B_y +  \(\frac{\mathrm{vE}_{\mathrm{z}}}{\mathrm{c}^{2}}\)
(b) E_y’ = E_y –  \(\frac{\mathrm{vB}_{\mathrm{z}}}{\mathrm{c}^{2}}\)
(c) B’_y = B_y + vE_z
(d) E’_y = E_y + vB_z

Choose the correct option

1. (a), (b)

2. (b), (c)

3. (c), (d)

4. (a), (d)

A vertical wire carries a current in an upward direction. An electron beam sent horizontally towards the wire will be deflected 

1.   towards right

2.   towards left 

3.   upwards

4.   downwards

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

A proton beam is going from north to south and an electron beam is going from south to north. Neglecting the earth's magnetic field, the electron beam will be deflected: