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The pressure on a square plate is measur...

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 measurement of force and length are respectively 4% and 2%, the maximum error in the measurement of pressure is

A

0.01

B

0.02

C

0.06

D

0.08

Text Solution

Verified by Experts

The correct Answer is:
D

`As P = (F)/(A) = (F)/(L^2)`
`:. Max % error = (DeltaP)/(P) = (DeltaF)/(F) + 2(DeltaL)/(L)`
`= 4% + 2 (2%) = 8%`
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Knowledge Check

  • The pressure on a square plate is measured by measuring the force on the plate and the length of one side of the plate. The errors in the measurement of force and length are 3% and 2% respectively. The maximum error in the value of the pressure would be

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