Question

A physical quantity P is related to four observable a,b,c, as P=a^3b^2/√cd. The percentage error in measurement of a,b,c,d are 1%,3%,4%,2% respectively
What is the percentage error in the measurement of physical quantity​

Answer 1

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.

MY DEAR FRIEND PLEASE THANKS MY 15 ANSWERS ☺☺