Physics XII - Moving Charge and Magnetism 01

Question : 1

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Dimensional formula of magnetic field B is

Options:

	[M1L1T–2A–1]
	[M2L0T–2A–1]
	[M1L0T0A–1]
	[M0L1T–2A–1]

Solution :

(B)

F = IlB

[B] = [M¹L¹T ²][L ¹][A ¹]

      = [M¹L⁰T ²A ¹]

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Question : 2

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Which of the following represents the Biot-Savart’s law in vector form? (Symbols have their usual meanings)

Options:

Solution :

(C)

dB    I

    

dl
sin

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Question : 3

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A proton is projected with velocity  along positive x direction, the magnetic field  produced by the proton on x axis is

Options:

	Zero
	ev μ0
	2evμ0

Solution :

(A)

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Question : 4

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Magnetic field cannot be produced by

Options:

	Charge at rest
	Charge moving at constant velocity
	Charge executing SHM
	Charge executing uniform circular motion

Solution :

(A)

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Question : 5

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A current carrying element of conductor carrying a constant current can produce

Options:

	Electric field only
	Magnetic field only
	Both electric and magnetic field
	Neither electric nor magnetic field

Solution :

(B)

Current carrying conductor is chargeless.

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Question : 6

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A charge +q is moving with velocity v on the straight line AB as shown in figure. Magnetic field produced by the charge at C

Options:

	Increases continuously
	Decreases continuously
	First increases and then decreases
	First decreases and then increases

Solution :

(C)

dB    sin

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Question : 7

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A current element is carrying current along +ve z axis and is kept at origin. The magnetic field produced by it on the xy plane can have unit vectors

Options:

	All of these

Solution :

(D)

Magnetic field lines are on xy plane.

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Question : 8

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A current element 2 Am is present at corner C of equilateral triangle ACD, such that its length is parallel to CD. Magnetic field by the element at corner A is

             

Options:

Solution :

(B)

Biot-Savart’s law

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Question : 9

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Two current elements each of 2 Am are present at C and D separated by 2m and are normally into the paper. Magnetic field at D as shown in figure is

Options:

	Zero

Solution :

(D)

D is symmetric to both A and C and direction of fields by both are opposite to each other.

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Question : 10

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A positive charge q is moving at speed v as shown in figure. Magnetic field produced by this moving charge at P, at position vector  as shown in figure, is

Options:

Solution :

(A)

 in Biot-Savart’s law is replaced by