Q 1 :    

A straight magnetic strip has a magnetic moment of 44 Am2. If the strip is bent in a semicircular shape, its magnetic moment will be ____ Am2 (Given π=227)        [2024]



(28)

Magnetic moment of straight wire M=44 Am2

We know that, pole strength m=MM=m

If r is the radius of semicircle formed by bending the strip of length l, then

πr=r=π

Distance between the poles; 2r=2lπ

Hence, new magnetic moment (M')=m×2r=Ml·2lπ

M'=2Mπ=2×44227=28 Am2



Q 2 :    

A bar magnet has total length 2l=20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then uncertainty of the magnetic field at point P is:          [2025]

  • 10%

     

  • 4%

     

  • 3%

     

  • 5%

     

(2)

Magnetic field at P, B=μ04πm(2l)d3, where m is the pole strength

 (BB×100)=(ll)×100+3|dd|×100

                                     = 1% + 3% = 4%



Q 3 :    

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Magnetic monopoles do not exist.

Reason (R) : Magnetic field lines are continuous and form closed loops.

In the light of the above statements, choose the most appropriate answer from the options given below:          [2025]

  • Both (A) and (R) are correct but (R) is not the correct explanation of (A)

     

  • (A) is correct but (R) is not correct

     

  • Both (A) and (R) are correct and (R) is the correct explanation of (A)

     

  • (A) is not correct but (R) is correct

     

(3)

The magnet does not exist in form of monopole and magnetic lines never intersect, are continuous and form a closed loop. Line initiates from north pole and end to south pole outside while inside vice versa.

It means both statements are correct and reason is also the correct explanation of assertion.