1
AIPMT 2010 Mains
+4
-1
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
+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 Prelims
+4
-1
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency $$f$$ Hz. The magnitude of magnetic induction at the center of the ring is
A
$${{{\mu _0}qf} \over {2\pi R}}$$
B
$${{{\mu _0}qf} \over {2R}}$$
C
$${{{\mu _0}q} \over {2fR}}$$
D
$${{{\mu _0}q} \over {2\pi fR}}$$
4
AIPMT 2010 Prelims
+4
-1
A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
A
900 $$\Omega$$
B
1800 $$\Omega$$
C
500 $$\Omega$$
D
1000 $$\Omega$$
EXAM MAP
Medical
NEET