Question:
A force F is applied on a square plate of side L. If percentage error in determination of L is 2% and that in F is 4%, permissible error in pressure is
A force F is applied on a square plate of side L. If percentage error in determination of L is 2% and that in F is 4%, permissible error in pressure is
Updated On: Jun 8, 2024
- 0.02
- 0.04
- 0.06
- 0.08
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The Correct Option is D
Solution and Explanation
Pressure = $ \frac{ force }{ area } = \frac{ F }{ L^2 } $
$ \therefore \frac{ dp }{ p } \times 100 = \bigg( \frac{ dF }{ F } + \frac{ 2 dL }{ L} \bigg) \times 100 $
= 4 + 2 $ \times $ 2 = 8%
$ \therefore \frac{ dp }{ p } \times 100 = \bigg( \frac{ dF }{ F } + \frac{ 2 dL }{ L} \bigg) \times 100 $
= 4 + 2 $ \times $ 2 = 8%
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Concepts Used:
Physical World
The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:
- Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
- Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
- Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
- Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.