A public park, in the form of a square, has an area of (100 ± 0.2) m 2. The side of park is

Question

A public park, in the form of a square, has an area of (100 ± 0.2) m 2. The side of park is (A) (10 ± 0.01) m (B) (10 ± 0.1) m (C) (10 ± 0.02) m (D) (10 ± 0.2) m

Tardigrade Admin · Accepted Answer

A=(100 ± 0.2) m 2 100=l2 ⇒ l=10 m (Δ A/A)=(2 Δ l/l) (0.2/100)=2 × (Δ l/10) ⇒ Δ l=0.01 m So, length =(10 ± 0.01) m

Q. A public park, in the form of a square, has an area of $(100 \pm 0.2) m^{2}$ . The side of park is

$(10 \pm 0.01) m$

$(10 \pm 0.1) m$

$(10 \pm 0.02) m$

$(10 \pm 0.2) m$

$A = (100 \pm 0.2) m^{2}$
$100 = l^{2} \Rightarrow l = 10 m$
$\frac{Δ A}{A} = \frac{2Δ l}{l}$
$\frac{0.2}{100} = 2 \times \frac{Δ l}{10}$
$\Rightarrow Δ l = 0.01 m$
So, length $= (10 \pm 0.01) m$

Q. A public park, in the form of a square, has an area of (100±0.2)m2. The side of park is

(10±0.01)m

(10±0.1)m

(10±0.02)m

(10±0.2)m