QJEEM21Pha016: JEE Main 2021 Physics - Class 11 JEEM21Pha016 Solution: A physical quantity 'y' is represented by the formula y = m 2 r …

Question

Verified Solution • 2025–26 Session moderate

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 p.

Accepted Answer

\frac{Δ y}{y} = \frac{2 Δ m}{m} + \frac{4 Δ 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)

\Rightarrow

8 = xp

By checking from options.

x = \frac{16}{3}, p = \pm \frac{3}{2}

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