Question

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A rectangular plate has length (2 + 0.02)cm and
width (1 +0.01)cm. The maximum percentage
error in the measurement of its area is:
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1) 1%
2) 2%
3) 3%
4) 5%​

Answer 1

Answer:

The length of a rectangular plate is measured by a meter scale and is found to be 10.0 cm. Its width is measured by vemier callipers as 1.00 cm. The least count of the meter scale and vernier calipers are 0.1 cm and 0.01 cm respectively. Maximum permissible error in area measurement is:.

Length of the rectangular plate is L=10.0 cm± 0.1 cm

Width of the plate B=1.00 cm±0.01 cm

So, error in length ΔL=0.1 cm

Error in width ΔB=0.01 cm

Area of the plate A=L×B=10×1=10 cm

2

Maximum error in area ΔA=±(

L

ΔL

+

B

ΔB

)×A

⟹ ΔA=±(

10

0.1

+

1

0.01

)×10=± 0.2 cm

2

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