Question

A physical quantity P is related to four observables a,b,c and a as follows: P=a3b

2

/c1/2d , the

percentage errors of measurements in a, b, c and d are 1%, 3% ,4% and 2% respectively. What is the

percentage error of P ? ​

Answer 1

Answer:

P=

c

d

a

3

b

2

Maximum fractional error in P is given by

P

ΔP

=±[3

a

Δa

+2

b

Δb

+

2

1

c

Δc

+

d

Δd

]

On putting above value:

=±

100

13

=0.13

Percentage error in P=13 %

Value of P is given as 3.763