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A certain amount of current when flowing...

A certain amount of current when flowing in a properly set tangent galvanoment, produces a deflection of `45^(@)`. If the current be reduced by a factor of `sqrt(3)`, the deflection would

A

Decrease by `30^(@)`

B

Decrease by `15^(@)`

C

Increase by `15^(@)`

D

Increase by `20^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
In tangent galvanometer, `I prop tan theta`
`I_(1)/I_(2) = (tan theta_(1))/(tan theta_(2)) = I_(1)/(I_(1)/sqrt(3)) = (tan 45^(@))/(tan theta_(2))`
`sqrt(3) tan theta_(2) = 1`
`tan theta_(2) = 1/sqrt(3)`
`theta_(2) = 30^(@)`
`therefore` decrease in angle `=45^(@) - 30^(@) = 15^(@)`
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