A meter bridge is set up is as shown determine as unknown resistance `X` using a standerd `5 ohm` resistor The galvanometer shown nall point when topping key is at `44cm` mark The end corections see `1cm` and `2cm` respectively for the ends `A` and `B` The determine value of `X` is

Options

A. `4.12 ohm`
B. `3.88ohm`
C. `4.22 ohm`
D. `4.77 ohm`

Answer

b

Explanation

Using the condition for balanced Wheatstone bridge we get
`(X)/(5) = ((44+1))/((100- 44+2)) = (45)/(58)`
or `X = (45 xx 5)/(58)= 3.88 Omega`