A physical quantity depends on four observables ,

MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number

Problem

A physical quantity

z

depends on four observables

a

b

c

and

d

, as

z = \frac{a^2 b^3}{\sqrt{c d^3}}

. The percentages of error in the measurement of

a

b

c

and

d

are 2%, 1.5%, 4% and 2.5% respectively. The percentage of error in

z

is : (1) 12.25% (2) 16.5% (3) 13.5% (4) 14.5%