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*Answer can only contain numeric values

QUESTION: 1

A charged particle enters a uniform magnetic field with velocity vector at an angle of 45° with the magnetic field. The pitch of the helical path followed by the particle is ** p**. The radius of the helix is given by p/nπ. The value of

Solution:

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 2

A copper wire of diameter **1.6 mm** carries a current

Solution:

Maximum magnetic field is at surface and is given by

= **20 A**

The correct answer is: 20

*Answer can only contain numeric values

QUESTION: 3

The magnetic field at the centre of an equilateral triangular loop of side **2 L** and carrying a current

Find the value of

Solution:

Magnetic field at * O * is

The correct answer is: 9

*Answer can only contain numeric values

QUESTION: 4

Ratio of magnetic field at the centre of a current carrying coil of radius ** R** and at a distance of

Solution:

The desired ratio is

The correct answer is: 31.623

*Answer can only contain numeric values

QUESTION: 5

Same current ** i = 2A** is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles

Solution:

∴ Net force on frame =

= (3) (2) (1) (4) (** F = ilB**)

= 24

The correct answer is: 24

*Answer can only contain numeric values

QUESTION: 6

Equal currents *i* = 1*A* are flowing through the wires parallel to *y*-axis located at ** x = +1m, x = +2, x = +4m** etc, but in opposite directions as shown. The magnetic field at origin (in units of tesla) will be :

Solution:

The correct answer is: 1.33

*Answer can only contain numeric values

QUESTION: 7

A conducting ring of mass **2 kg** and radius

Solution:

Axis of rotation in along i.e., axis of rotation in the *y*-axis. Moment of inertia about which is

The correct answer is: 125.664

*Answer can only contain numeric values

QUESTION: 8

Two parallel wires carrying equal currents in opposite directions are placed at x = __+__a parallel to *y*-axis with ** z = 0**. Magnetic field at origin

Solution:

**Case I** : If the currents are in the directions shown in figure. Then

∴ ** B_{1}/B_{2} = –3** : In the case

Case II

The correct answer is: -3

*Answer can only contain numeric values

QUESTION: 9

A particle of charge per unit mass α is released from origin with a velocity in a uniform magnetic field If the particle passes through **(0, y, 0)**, then

Solution:

The correct answer is: 2

*Answer can only contain numeric values

QUESTION: 10

A charged particle is projected with velocity *v*_{0} along positive x-axis. The magnetic field ** B** is directed along negative

Solution:

The correct answer is: 1.732

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