A physical quantity ' y ' is represented by the formula y=m2 r-4 gx l-(3/2) If the percentage errors found in y, m, r, l and g are 18,1,0.5,4 and p respectively, then find the value of x and

Question

A physical quantity ' y ' is represented by the formula y=m2 r-4 gx l-(3/2) If the percentage errors found in y, m, r, l and g are 18,1,0.5,4 and p respectively, then find the value of x and (A) 5 and ± 2 (B) 4 and ± 3 (C) (16/3) and ± (3/2) (D) 8 and ± 2

Tardigrade Admin · Accepted Answer

(Δ y/y)=(2 Δ m/m)+(4 Δ r/r)+(x Δ g/g)+(3/2) (Δ l/l) 18=2(1)+4(0.5)+x p+(3/2)(4) 8=x p By checking from options. x=(16/3), p=± (3/2)

Q. A physical quantity ' $y$ ' is represented by the formula $y = m^{2} r^{- 4} g^{x} l^{- \frac{3}{2}}$ If the percentage errors found in $y, m, r, l$ and $g$ are $18, 1, 0.5, 4$ and $p$ respectively, then find the value of $x$ and

$5$ and $\pm 2$

$4$ and $\pm 3$

$\frac{16}{3}$ and $\pm \frac{3}{2}$

$8$ and $\pm 2$

$\frac{Δ y}{y} = \frac{2Δ m}{m} + \frac{4Δ r}{r} + \frac{x Δ g}{g} + \frac{3}{2} \frac{Δ l}{l}$
$18 = 2 (1) + 4 (0.5) + x p + \frac{3}{2} (4)$
$8 = x p$
By checking from options.
$x = \frac{16}{3}, p = \pm \frac{3}{2}$

Q. A physical quantity ' y ' is represented by the formula y=m2r−4gxl−23​ If the percentage errors found in y,m,r,l and g are 18,1,0.5,4 and p respectively, then find the value of x and

5 and ±2

4 and ±3

316​ and ±23​

8 and ±2