A resistance wire connected in the left gap of a metre bridge balances a 10ω resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5m, then the length of 1ω of the resistance wire is_________

A meter bridge also called a slide wire bridge is an instrument that works on the principle of a Wheatstone bridge. A meter bridge is used in finding the unknown resistance of a conductor as that of in a Wheatstone bridge.

Solution

R:S=3:2
S=10Ω

Ratio,
R/S = 3/ 2

R=3/2 x 10Ω = 5

The length of 1Ω wire as per the given condition

l=1.5 / 1.5

l=1/10

= 0.1 m 

= 1.0 x 10^-1m

Answer

The length of the wire is 1.0 x 10^-1m

Check out the video below to know more about the factors that affect resistance