Question

box, (b) the difference in the
2.13 A physical quantity Pis related to four observables a, b, c and d as follows:
P=aºb?/(ved)
The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%
respectively. What is the percentage error in the quantity P? If the value of P calculated
using the above relation turns out to be 3.763, to what value should you round of
the result?​

Answer 1

Explanation:

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.

By rounding off the given value to the first decimal place, we get P=3.8.