the unknown resistance x in the meter bridge experiment can be calculated as x= (l/100-l)R. here l is the length of the wire in cm. if R is known correctly and percentage error in the measurement of l is 2%, the percentage error in x at l=20cm is
Answers
Answered by
11
Answer:
2.5 %
Explanation:
percentage error in the measurement of L is 2%
=> at L = 20 cm
ΔL = (2/100) * 20 = 0.4 cm
100 - L = 80 with Δ(100 - L) = 0.4 cm
x + Δx = ( (L + ΔL)/((100 - L) + Δ(100 - L)) ) R
x = LR/(100 - L)
=> x = 20 R/80 = R/4
Δx /x = ΔL/L + Δ(100 - L)/(100 - L)
=> Δx/x = 0.4/20 + 0.4/80
=> Δx/x = 2/80
=> Δx/x = 1/40
=> Δx/x = 0.025
% error = 100 * Δx/x = 100 * 0.025 = 2.5 %
percentage error in x at l=20cm = 2.5 %
Similar questions