A physical quantity P is given as P= a^2 b^3 c√d. The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% respectively. The…
JEE Main 2023 — Physics Mechanics
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A physical quantity P is given as P=cda2b3. The percentage error in the measurement of a,b,c and d are 1 and 4 respectively. The percentage error in the measurement of quantity P will be
Official previous-year question
Held on 10 Apr 2023 · Verified 6 Jul 2026.
Options
A
13
B
16
C
12
D
14
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Solution
The given quantity is P=cda2b3.
The percentage error for a quantity can be given by the formula xΔx×100.
Relation of the relative errors will be,
(PΔP)=[(a2Δa)+(b3Δb)+(cΔc)+(21dΔd)]
Hence, the percentage error is calculated by substituting the values,
(PΔP)×100=(2×1)+(3×2)+3+(21×4)=13.
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