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NEET PHYSICSUNITS AND MEASUREMENTSEasy

Question

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4%4\% and 2%2\%. The maximum error in the measurement of pressure is

A

1%1\%

B

2%2\%

C

6%6\%

D

8%8\%

Step-by-Step Solution

Pressure is defined as Force per unit Area, so P=FAP = \frac{F}{A}. For a square plate with side length ll, the area is A=l2A = l^2. Therefore, P=Fl2P = \frac{F}{l^2}. The maximum percentage error in pressure is given by the formula for propagation of errors in division and powers: ΔPP×100=ΔFF×100+2×Δll×100\frac{\Delta P}{P} \times 100 = \frac{\Delta F}{F} \times 100 + 2 \times \frac{\Delta l}{l} \times 100 Given that the percentage error in force is ΔFF×100=4%\frac{\Delta F}{F} \times 100 = 4\% and the percentage error in length is Δll×100=2%\frac{\Delta l}{l} \times 100 = 2\%. Substituting these values into the equation: Percentage error in P=4%+2×(2%)=4%+4%=8%P = 4\% + 2 \times (2\%) = 4\% + 4\% = 8\%.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from UNITS AND MEASUREMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSUNITS AND MEASUREMENTSpressuresquaremeasuredmeasuringlength

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