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Question

Question: A compass needle placed at a distance r from a short magnet in tanA position shows a deflection of 6...

A compass needle placed at a distance r from a short magnet in tanA position shows a deflection of 600. If the distance is increased to r(3)1/3, then the deflection of the compass needle is –

A

300

B

600 × (3)1/3

C

600 × (3)2/3

D

600 × (3)3/3

Answer

300

Explanation

Solution

In tan A position 2kMr3\frac { 2 \mathrm { kM } } { \mathrm { r } ^ { 3 } } = BH tanθ

tanθ2tanθ1\frac { \tan \theta _ { 2 } } { \tan \theta _ { 1 } } ⇒ θ2 = 300