Pressure on a square plate is P=F/ℓ². If maximum percentage errors in F and ℓ are 4% and 2%, find maximum percentage error in P.
Physics · Mixed Chapter
JEE Main Practice

Question

Pressure on a square plate is P=F/ℓ². If maximum percentage errors in F and ℓ are 4% and 2%, find maximum percentage error in P.

G1 Physics · Accepted Answer

Step 1: P=F×ℓ⁻². Step 2: Add fractional errors weighted by absolute powers: δP/P≈δF/F+2δℓ/ℓ. Step 3: Maximum percentage error=4+2(2)=8%.