Charges & Magnetism Test

Result

Charges & Magnetism Test - 13

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Question 1
1 / -0

A charged particle is moving on circular path with velocity v in a uniform magnetic field B, if the velocity of the charged particle is doubled and strength of Magnetic field is halved, then radius becomes

A
8 times

B
4 times

C
2 times

D
16 times

Solution

As
According to the question, v‘ = 2v and B' = B/2
∴
Question 2
1 / -0

An electron of energy 1800 eV describes a circular path in magnetic field of flux density 0.4 T. The radius of path is (q = 1.6 x 10^-19 C, m_e= 9.1 x 10^-31 kg)

A
2.58 x 10^-4 m

B
3.58 x 10^-4 m

C
2.58 x 10^-3 m

D
3.58 x 10^-3 m

Solution
Question 3
1 / -0

Two α-partides have the ratio of their velocities as 3 : 2 on entering the field. If they move in different circular paths, then the ratio of the radii of their paths is

A
2 : 3

B
3 : 2

C
9 : 4

D
4 : 9

Solution

As qvB = mv²/r
Question 4
1 / -0

When a positively charged particle enters a uniform magnetic field with uniform velocity, its trajectory can be (i) a straight line (ii) a circle (iii) a helix.

A
(i) only

B
(i) or (ii)

C
(i) or (iii)

D
any one of (i), (ii) and (iii)
Question 5
1 / -0

Two particles of equal charges after being accelerated through the same potential difference enter in a uniform transverse magnetic field and describe circular paths of radii R₁and R₂. Then the ratio of their respective masses (M₁/M₂) is

A
R₁/R₂

B
(R₁/R₂)²

C
R₂/R₁

D
(R₂/R₁)²

Solution

And Bqv = Mv²/R Or Using (i)
or
∴ M ∝ R² (∵ B, q and V are same for the given two particles)
Hence (M₁/M₂) = (R₁/R₂)²