The vertical component of the earth's magnetic field is 6×10−5T at any place where the angle of dip is 37∘. The earth's resultant magnetic field at that place will be (Given tan37∘=43)
(A)8×10−5T
(B)6×10−5T
(C)5×10−4T
(D)1×10−4T✓ Correct
Answer: (D)
Solution
The vertical component of Earth's magnetic field is related to the resultant field by:
BV=Bsinδ
Given tan37∘=43, we have sin37∘=53.
Substituting:
6×10−5=B×53
Solving for B:
B=36×10−5×5=10×10−5=1×10−4 T
The answer is (D).
JEE Main · 2022 · 29 Jul 2022 · Shift 2 · Single correct option
