AIPMT 2010 Mains | Moving Charges and Magnetism Question 44 | Physics

AIPMT 2010 Mains

MCQ (Single Correct Answer)

-1

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is $$i$$. The resultant magnetic field due to the two semicircular parts at their common centre is

$${{{\mu _0}i} \over {2\sqrt 2 R}}$$

$${{{\mu _0}i} \over {2R}}$$

$${{{\mu _0}i} \over {4R}}$$

$${{{\mu _0}i} \over {\sqrt 2 R}}$$

AIPMT 2010 Mains

MCQ (Single Correct Answer)

-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 ?

(1) and (3)

(3) and (4)

(2) and (3)

(2) and (4)

AIPMT 2010 Mains

MCQ (Single Correct Answer)

-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 30^o with the axis of the solenoid. The torque on the solenoid will be

3 $$ \times $$ 10^$$-$$3 N m

1.5 $$ \times $$ 10^$$-$$3 N m

1.5 $$ \times $$ 10^$$-$$2 N m

3 $$ \times $$ 10^$$-$$2 N m

AIPMT 2010 Prelims

MCQ (Single Correct Answer)

-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

$${{{\mu _0}qf} \over {2\pi R}}$$

$${{{\mu _0}qf} \over {2R}}$$

$${{{\mu _0}q} \over {2fR}}$$

$${{{\mu _0}q} \over {2\pi fR}}$$

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