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Q.

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 vernier callipers as 1.00 cm. The least count of the meter scale and vernier callipers are 0.1 cm and 0.01 cm, respectively. Maximum permissible error in area measurement is

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a

±0.2 cm2

b

±0.1 cm2

c

±0.3 cm2

d

zero

answer is A.

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Detailed Solution

A=l×b=10×1.0=10 cm2ΔAA=Δll+ΔbbΔA=±Δll+Δbb×A=±0.110.0+0.011.00×10=±0.2 cm2
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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 vernier callipers as 1.00 cm. The least count of the meter scale and vernier callipers are 0.1 cm and 0.01 cm, respectively. Maximum permissible error in area measurement is