Question

A physical quantity P is given by the formula P = ab2c3d4 . If percentage error in measurement of a ,b ,c, d is 1 each . Find the percentage error in measurement of

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.