Question

the percentage error in the measurement of voltage v is 3 percent and in the measurement of the current is 2 percent . the percentage error in the measurement of the resistance is
(a) 3
(b) 2
(c) 1
(d) 5

Answer 1

During multiplication or division the resultant relative error is the sum of the relative error of individual quantities . or During multiplication or division the resultant percentage error is equal to the sum of the percentage errors of the individual quantities .

V = IR
R = V/I
(∆R/R) = (∆V/V) + (∆I/I)
(∆R/R × 100) = (∆V/V×100) + (∆I/I×100)
If relative error is multiplied by 100 is called %error
%R = %V + %I
%R = 3+2
%R = 5%

so option d)5 is the answer