A fuse wire with radius 1 mm blows at 1.5 ampere. The radius of the fuse wire of the same material to alow at 3A will be

Options

A. `3^(1//4)` mm
B. `4^(1//3)` mm
C. `3^(1//2)` mm
D. `2^(1//3)` mm

Answer

D

Explanation

For fuse of same material `ipropr^(3)`
`implies(i_(2))/(i_(1))=(r_(2)^(3))/(r_(1)^(3))`
`(3)/(1.5)=(r_(2)^3)/(1)impliesr_(2)=2^(1//3)` mm.