Question

a physical quantity Q is given by
Q = A2 B3/2\C4 D1/2

Answer 1

Answer:

The percentage errors for A,B,C,D are respectively 1%, 2%, 4% and 2%

The formula for Q is, Q=

C

4

D

2

1

A

2

B

2

3

So from the formula of error calculation:

The percentage error in Q=

Q

ΔQ

×100

Q

ΔQ

×100 =2

A

ΔA

×100+3/2

B

ΔB

×100+4

C

ΔC

×100+1/2

D

ΔD

×100

=2×1+

2

3

×2+4×4+

2

1

×2

=22% = (20+2)