Question

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

• A. 1%
• B. 2%
• C. 3%
• D. 4%

Hint:

When calculating errors in pressure, both force and area contribute to the total error.

Answer 1

The Correct Option is D

Step 1: Error propagation in pressure.
Pressure is defined as \( P = \frac{F}{A} \). The error in pressure is the sum of the relative errors in force and area. Since area depends on length, we can use error propagation to find the maximum error in pressure.

Step 2: Conclusion.
The maximum error in pressure is 4%, which corresponds to option (4).