Question

A physical quantity P is given by p=A^2B^3/2/C^4D^1/2 the% error in A, B, C, D are respectively 1%, 2%, 3%, 4%, what is% error in P​

Answer 1

Explanation:

Correct option is

C

21%

X=a

2

b

3

c

5/2

d

−2

Percentage error in X is

x

ΔX

×100=[2(

a

Δa

)+3(

b

Δb

)+

2

5

(

c

Δc

)+2(

d

Δd

)]×100

=2×1+3×2+

2

5

×2+2×4

=21%

.