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Home / Doubts and Solutions/JEE/Physics

Ques16

qsnImg
Asked by rbhatt16 18th July 2018, 12:55 PM
Answered by Expert
Answer:
images for Q12 and Q16 are interchanged in your postings.
 
I assume Q16 is finding the dipole moment of earths magnetic field from given field at equator and earth's radius.
 
Assume the earth's magnetic field is due to an imaginary bar magnet, the equatorial field BE  is given by,  begin mathsize 12px style B subscript E equals space fraction numerator mu subscript 0 space m over denominator 4 pi space r cubed end fraction space........... left parenthesis 1 right parenthesis end style
In abobe eqn.(1), m is dipole moment and r is equitorial distance
 
using eqn.(1) , dipole moment of earths bar-magnet is begin mathsize 12px style m space equals space fraction numerator 4 pi over denominator mu subscript 0 end fraction cross times B subscript E cross times r cubed space equals space 1 over 10 to the power of negative 7 end exponent cross times 4 cross times 10 to the power of negative 5 end exponent cross times open parentheses 6.4 cross times 10 to the power of 6 close parentheses cubed space equals space 1.05 cross times 10 to the power of 23 space A m squared end style
 
Answered by Expert 18th July 2018, 4:18 PM
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Answer this:  Assertion (A): When radius of a circular loop carrying a steady current is doubled, its magnetic moment becomes four times.  Reason (R): The magnetic moment of a circular loop carrying a steady current is proportional to the area of the loop.  Select the correct answer from the codes (a), (b), (c) and (d) as given belote.  (a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).  (b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).  (c) Assertion (A) is true, but Reason (R) is false.  (d) Assertion (A) is false and Reason (R) is also false.
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