Two solenoids of equal number of turns h...

Two solenoids of equal number of turns have their lengths and the radii in the same ratio 1:2. The ratio of their self inductances will be

A

`1:2`

B

`2:1`

C

`1:1`

D

`1:4`

Verified by Experts

The correct Answer is:

A

`L=(mu_(0)N^(2)A)/lrArrLpropr^(2)/l`
`thereforeL_(1)/L_(2)=(1/2)^(2)(2/1)=1/2`

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