Question

Q=A² B³/²/C⁴ D½ find percentage error
​

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)

Explanation:

A physical quantity Q is given by Q=

C

4

D

1/2

A

2

.B

3/2

. The percentage error in A, B, C, D are 1%,2%,4%,2% respectively. Find the percentage error in Q.