Calculate the maximum percentage error in the measurement of area of a rectangular plate whose length is (.2 ± 0.02.) cm and width is (.1 ± 0.01.) cm .

Question

Calculate the maximum percentage error in the measurement of area of a rectangular plate whose length is (.2 ± 0.02.) cm and width is (.1 ± 0.01.) cm . (A) 1 % (B) 2 % (C) 3 % (D) 5 %

Tardigrade Admin · Accepted Answer

A=lb (Δ A/A)× 100=(Δ l/l)× 100+(Δ b/b)× 100 On substituting the values, we get percentage error as 2%.

Q. Calculate the maximum percentage error in the measurement of area of a rectangular plate whose length is $(2 \pm 0.02) c m$ and width is $(1 \pm 0.01) c m$ .

$1%$

$2%$

$3%$

$5%$

$A = l b$
$\frac{Δ A}{A} \times 100 = \frac{Δ l}{l} \times 100 + \frac{Δ b}{b} \times 100$
On substituting the values, we get percentage error as 2%.

Q. Calculate the maximum percentage error in the measurement of area of a rectangular plate whose length is (2±0.02)cm and width is (1±0.01)cm .

1%

2%

3%

5%