A particle having a mass of 10$$-$$2 kg carries a charge of 5 $$ \times $$ 10$$-$$8 C. The particle is given an initial horizontal velocity of 105 m s$$-$$1 in the presence of electric field $$\overrightarrow E $$ and magnetic field $$\overrightarrow B $$. To keep the particle moving in a horizontal direction, it is necessary that
(1) $$\overrightarrow B $$ should be perpendicular to the direction of velocity and $$\overrightarrow E $$ should be along the direction of velocity
(2) Both $$\overrightarrow B $$ and $$\overrightarrow E $$ should be along the direction of velocity
(3) Both $$\overrightarrow B $$ and $$\overrightarrow E $$ are mutually perpendicular and perpendicular to the direction of velocity.
(4) $$\overrightarrow B $$ should be along the direction of velocity and $$\overrightarrow E $$ should be perpendicular to the direction of velocity
Which one of the following pairs of statements is possible ?
A
(1) and (3)
B
(3) and (4)
C
(2) and (3)
D
(2) and (4)
2
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
A closely wound solenoid of 2000 turns and area of cross-section 1.5 $$ \times $$ 10$$-$$4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field 5 $$ \times $$ 10$$-$$2 tesla making an angle of 30o with the axis of the solenoid. The torque on the solenoid will be
A
3 $$ \times $$ 10$$-$$3 N m
B
1.5 $$ \times $$ 10$$-$$3 N m
C
1.5 $$ \times $$ 10$$-$$2 N m
D
3 $$ \times $$ 10$$-$$2 N m
3
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The magnetic moment of a diamagnetic action is
A
much greater than one
B
1
C
between zero and one
D
equal to zero
4
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
Two identical bar magnets are fixed with their centers at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure
