Electromagnetic Induction Test

Result

Electromagnetic Induction Test - 46

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Weekly Quiz Competition

Question 1
4 / -1

In the circuit shown below, the key K is closed at t = 0. The current through the battery is

A

B

C

D

Solution
Question 2
4 / -1

An e.m.f. of 15 volt is applied in a circuit containing 5 henry inductance and 10 ohm resistance. The ratio of the currents at time t = ∞ and at t =1 second is

A

B

C

D

Solution
Question 3
4 / -1

A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is

A
Zero

B
B vπR² / 2 and M is at higher potential

C
πRBV and Q is at higher potential

D
2RBV and Q is at higher potential

Solution
Question 4
4 / -1

At a place the value of horizontal component of the earth\'s magnetic field H is 3 × 10^–5 weber / m². A metallic rod AB of length 2 m placed in east-west direction, having the end A towards east, falls vertically downward with a constant velocity of 50 m/s. Which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends?

A
End A, 3 × 10^–3 mV

B
End A, 3 mV

C
End B, 3 × 10^–3 mV

D
End B, 3 mV

Solution
Question 5
4 / -1

Consider the situation shown in the figure. The wire AB is sliding on the fixed rails with a constant velocity. If the wire AB is replaced by semicircular wire, the magnitude of the induced current will

A
Increase

B
Remain the same

C
Decrease

D
Increase or decrease depending on whether the semicircle bulge is towards the resistance or away from it
Question 6
4 / -1

A circular loop of radius R carrying current I lies in x – y plane with its centre at origin. The total magnetic flux through x – y plane is

A
Directly proportional to I

B
Directly proportional to R

C
Directly proportional to R²

D
Zero
Question 7
4 / -1

Two identical circular loops of metal wire are lying on a table without touching each other. Loop–A carries a current which increases with time. In response, the loop–B.

A
Remains stationary

B
Is attracted by the loop–A

C
Is repelled by the loop–A

D
Rotates about its CM ,with CM fixed (CM is the centre of mass)
Question 8
4 / -1

A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loops are coplanar and their centres coincide. The mutual inductance of the system is proportional to

A
l / L

B
l² / L

C
L / l

D
L² / l

Solution
Question 9
4 / -1

A wire of length 1 m is moving at a speed of 2ms^–1 perpendicular to its length and in a homogeneous magnetic field of 0.5 T. The ends of the wire are joined to a circuit of resistance 6 Ω. The rate at which work is being done to keep the wire moving at constant speed is

A

B

C

D
1W

Solution
Question 10
4 / -1

A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region

A
Is zero

B
Decreases as 1/r

C
Increases as r

D

Solution