Home
Class 12
PHYSICS
A fuse wire with radius 1 mm blows at 1....

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

A

`4^(1//3)` ohm

B

`3^(1/4)` ohm

C

`2^(1/2)` ohm

D

`3^(1//2)` ohm

Text Solution

Verified by Experts

The correct Answer is:
A
Fuse law-
`I prop r^(3//2) rArr r_(2)/r_(1) = (i_(2)/i_(1))^(2/3) = (3/1.5)^(2//3) = (4)^(1/3)`
`rArr r_(2) = 4^(1/3) xx r_(1) = 4^(1/3) mm`
Promotional Banner

Similar Questions

Explore conceptually related problems

A fuse wire be

The resistance of the fuse wire is

A fuse wire with radius of 0.2mm blows off with a current of 5 Amp. The fuse wire of same material,but of radius 0.3 mm will blow off with a current of (1) 5xx(3)/(2)Amp (2). (5sqrt(3))/(2)Amp (3). 5sqrt((27)/(8))Amp (4). 5 Amp

A fuse with a circular cross-sectional radius of 0.15 mm blows at 15A. What is the radius of a fuse, made of same material which will blow at 120 A?

A fuse with a circular cross - sectional radius of 0.15 mm blows at 15 A . What should be the radius of the cross section of a fuse made of the same material that blows at 30 A ?

Fuse wire is a wire of :