Two identical coils, each with N turns and radius R are placed coaxially at a distance R as shown in the figure. If I is the current passing through the loops in the same direction, then the magnetic field at a point P at a distance of R/2 from the centre of each coil is _____.
 

(a)

\(\frac { 8N{ \mu }_{ ° }I }{ \sqrt { 5 } R } \)

(b)

\(\frac { 8N{ \mu }_{ ° }I }{ { 5 }^{ 3/2 }R } \)

(c)

\(\frac { 8N{ \mu }_{ ° }I }{ { 5 }R } \)

(d)

\(\frac { 4N{ \mu }_{ ° }I }{ \sqrt { 5 } R } \)

A bar magnet of length l and magnetic moment p_m is bent in the form of an arc as shown in Figure. The new magnetic dipole moment will be

(a)

p_m

(b)

\(\frac{3}{\pi} p_{m}\)

(c)

\(\frac{2}{\pi} p_{m}\)

(d)

\(\frac{1}{2} p_{m}\)

The BH curve for a ferromagnetic material is shown in the figure. The material is placed inside a long solenoid which contains 1000 turns/cm. The current that should be passed in the solenoid to demagnetize the ferromagnet completely is _____.

(a)

1.00 m A

(b)

1.25 mA

(c)

1.50 mA

(d)

1.75 mA

The vertical component of Earth’s magnetic field at a place is equal to the horizontal component. What is the value of angle of dip at this place?

(a)

30° 

(b)

45° 

(c)

60° 

(d)

90° 

A simple pendulum with charged bob is oscillating with time period T and lets θ be the angular displacement. If the uniform magnetic field switched ON in a direction perpendicular to the plane of oscillation then ___________.

(a)

time period will decrease but θ will remain constant

(b)

time period remain constant but θ will decrease

(c)

both T and θ will remain the same

(d)

both T and θ will decrease