Question

A physical quantity Q is related to four independent observables a, b, cand d as Q= The percentage error of
ſed
measurement in a,b,c and d respectively are 1%, 3%, 4% and 2%. The percentage error in the quantity Q is then
B
1036​

Answer 1

Answer:

The given physical quantity A=

c

d

a

2

b

3

Given :

a

Δa

×100=1%,

b

Δb

×100=3%,

c

Δc

×100=2% and

d

Δd

×100=2%

Percentage error in A,

A

ΔA

×100= 2

a

Δa

×100 +3

b

Δb

×100 +

c

Δc

×100+

2

1

×

d

Δd

×100

⟹

A

ΔA

×100=2×1+3×3+2+

2

1

×2=14 %