Question

A physical quantity P is related to
four observations a, b, c and d are
1%, 3%, 4% and 2% respectively
What is the percentage error in the
quantity P​

Answer 1

Answer:

Hii dear,

# Answer -

a) Percentage error in P is 13%.

b) P should be rounded off to 3.8

# Given-

P = 3.763 units

Δa/a=1%

Δb/b=3%

Δc/c=4%

Δd/d=2%

# Solution-

a) From given formula

ΔP/P = 3Δa/a + 2Δb/b + 0.5Δc/c + 0.5Δd/d

ΔP/P = 3×1+2×3+0.5×4+0.5×2

ΔP/P = 13%

Hence, Percentage error in P is 13%.

b) Rounding off value of P to first decimal place it would be P=3.8

Hope this helped you...

Answer 2

Answer:

the percentage error is 13 percent

Explanation:

P=a³b²(c½*d)

delta P/P=(3 delta a/a+ 2 delta b/b+ 1/2 delta c/c + delta d/d)

=(3/100+6/100+1/2*4/100+2/100)*100

=(3/100+6/100+2/100+2/100)*100

=13/100*100

=13 percent (answer)