Figure shows an experimental set up to find the value of an unknown resistance `(R_x)` using a meter bridge. `AB` is the uniform meter bridge wire of length `L = 100 cm`. When the sliding jockey is placed at `J (AJ = x)`, the galvanometer shows zero deflection. `AJ = x` is known as balancing length and is measured using a scale having 1 mm as least count. (a) In one experiment known resistance R was taken to be `20 Omega` and balancing length was measured as `x = (20.0 pm 0.1) cm`. find the value of `R_(x)`. (b) Show that fractional error in calculated value of `R_(x)` is least when `x =(L)/(2)`. What shall we do to ensure that `x` is close to `L//2` ?

Figure shows an experimental set up to find the value of an unknown re

1.	Figure shows an experimental set up to find the value of an unknown resistance `(R_x)` using a meter bridge. `AB` is the uniform meter bridge wire of length `L = 100 cm`. When the sliding jockey is placed at `J (AJ = x)`, the galvanometer shows zero deflection. `AJ = x` is known as balancing length and is measured using a scale having 1 mm as least count. (a) In one experiment known resistance R was taken to be `20 Omega` and balancing length was measured as `x = (20.0 pm 0.1) cm`. find the value of `R_(x)`. (b) Show that fractional error in calculated value of `R_(x)` is least when `x =(L)/(2)`. What shall we do to ensure that `x` is close to `L//2` ?
Answer» Correct Answer - (a) `(5.00 pm 0.03)Omega`

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