Magnetism and Matter Test 46

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Magnetism and Matter Test 46

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Question 1
1 / -0

A conducting circular ring and a conducting elliptical ring both are moving pure transnationally in a uniform magnetic field of strength $$B$$ as shown in figure on a horizontal conducting pane potential difference between top most point of circle and ellipse is:

A
$$12va$$

B
$$4vBa$$

C
$$8vBa$$

D
$$2vBa$$
Question 2
1 / -0

The magnetic field in a certain cylindrical region is changing with time according to the law B=$$B=[16-4t^{2}]$$ Tesla.. The induced electric field at point P at time t=2 sec.

A
8 volt/m

B
6 volt/m

C
4 volt/m

D
none

Solution
Question 3
1 / -0

A coil is wound on a hollow insulating cylinder, which contains in it a laminated iron core. The dependence of inductance L with the displacement X of the iron core is shown in the figure. In the initial state X= 0 (the core is fully inserted into the coil), the current in the coil is 1.0 A. Find current in the coil immediately after the core is quickly taken out of the coil

A
The current in the coil immediately after the core is quickly taken out of the coil is 5 amp.

B
The current in the coil immediately after the core is quickly taken out of the coil is 2.5 amp.

C
Magnetic flux associated with coil initially is 5 milli Tesla $$m^2$$

D
Magnetic flux associated with coil just after quick removal is 5 mili Tesla $$m^2$$

Solution
Question 4
1 / -0

A uniform magnetic field exists exists in the region given by $$\overrightarrow B = \left( {3\widehat i + 4\widehat j + 5\widehat k} \right)T$$. A rod of length 1 m placed along y-axis is moved along x-axis with constant velocity 1 m/s, then induced emf in the rod is.

A
Zero

B
5 V

C
2 V

D
4 V

Solution
Question 5
1 / -0

shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction $$B={ B }_{ e }{ e }^{ r }$$ is established inside the coil.If the key (K) is closed, the electrical power developed right after the switch is equal to:-

A
$$\frac { { B }^{ 2 }{ \pi r }^{ 2 } }{ R } $$

B
$$\frac { { B }_{ 0 }{ 10r }^{ 3 } }{ R } $$

C
$$\frac { { B }_{ 0 }^{ 2 }{ \pi }^{ 2 }{ r }^{ 4 }R }{ 5 } $$

D
$$\frac { { B }_{ 0 }^{ 2 }{ \pi }^{ 2 }{ r }^{ 4 } }{ R } $$
Question 6
1 / -0

A semicircle loop $$PQ$$ of radius $$R$$ is moved with velocity $$'V'$$ in the transverse magnetic field as shown in the figure. The value of induced emf between the ends of the loop is :

A
$$BV(\pi r)$$, end 'P' at high potential

B
$$2 BRV$$, end P at high potential

C
$$2 BRV$$, end Q at high potential

D
Zero

Solution
Question 7
1 / -0

In a region at a distance r from z-axis magnetic field $$B=B_0 rtk$$ is present $$B_0$$ is constant t is time. Then the magnitude of induced electric field at a distance r from z-axis is given by

A
$$-\dfrac{r}{2}B_0$$

B
$$-\dfrac{r^2}{2}B_0$$

C
$$-\dfrac{r^2}{3}B_0$$

D
none of these

Solution
Question 8
1 / -0

Two identical coils A and B are arranged coaxially as shown in the figure and the sign conversation adopted is that the direction of currents are taken as positive when they flow in the direction of arrows. Which of the following statements is correct.

A
If A carries a steady positive current and A is moved towards B, than a positive current is induced in B.

B
If A carries a steady positive current and B is moved towards A, then a negative current is induced in B

C
If both coils carry positive current, then the coils repel each other.

D
If a positive current flowing in A is switched off, then a negative current is induced momentarily in B
Question 9
1 / -0

Three resistance of magnitude $$R$$ each are connected in the form of an equilateral triangle of side $$a$$. The combination is placed in a magnetic field $$B=B_{0}e^{-\lambda t}$$
perpendicular to the plane. The induced current in the circuit is given by:

A
$$\left(\dfrac{a^{2}\lambda}{2\sqrt{3R}}B_0\right)e^{-\lambda t}$$

B
$$\left(\dfrac{a^{2}\lambda}{4(\sqrt{3})R}B_0\right)e^{-\lambda t}$$

C
$$\left(\dfrac{a^{2}B_0}{\lambda 4\sqrt{3R}}\right)e^{-\lambda t}$$

D
$$\left(\dfrac{a^{2}B_0 R}{\lambda 4\sqrt{3R}}\right)e^{-\lambda t}$$

Solution
Question 10
1 / -0

A circular ring of diameter $$20 \,cm$$ has a resistance of $$0.01 \Omega$$. The ring is turned from a position perpendicular to a uniform magnetic field of $$2T$$ to a position parallel to the field. The amount of charge flowing through the ring in this process is:

A
$$2C$$

B
$$\pi C$$

C
$$2 \pi C$$

D
$$8 \pi C$$