Physics, asked by pkitukishan2k, 11 months ago

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 amitnrw
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