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If length and breath of a plate are (40 ...

If length and breath of a plate are `(40 +- 0.2)cm` and `(30 +- 0.1 ) cm`, the absolute error in the meaurement of area is

A

`10 cm^2`

B

`8 cm^2`

C

`9 cm^2`

D

`7 cm^2`

Text Solution

Verified by Experts

The correct Answer is:
A
`A= lb implies (DeltaA)/(A) =(Deltal)/(l) + (Deltab)/(b) implies DeltaA = A [(Deltal)/l +(Deltab)/b]`
`DeltaA = bDeltal + l Deltab implies 10 cm^2`
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NARAYNA-UNITS AND MEASUREMENTS-EXERCISE -I (C.W)
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  2. The radius of a sphere is measured as (10 +- 0.02)cm. The error in the...

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  3. If length and breath of a plate are (40 +- 0.2)cm and (30 +- 0.1 ) cm,...

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  4. If the length of a cylinder is measured to be 4.28 cm with an error o...

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  5. When 10 observations are taken, the random error is x, When 100 oberse...

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  6. If L(1) = (2.02 +- 0.01)m and L(2) = (1.02 +- 0.01)m then L(1) + 2L(2)...

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  7. A body travels unifromly a distance of (20.0 +- 0.2)m in time (4.0 +- ...

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  8. If the value of 103.5kg is rounded off to three significant figures, t...

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  9. The number of significant figures in 6.023xx10^(23) "mole"^(-1) is

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  10. The side fo a cube is 2.5 metre. The volume of the cube of the signifi...

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  11. When a force is expressed in dyne, the number of sinificant figures is...

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  12. sqrt(2.0) is

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  13. The mass of a box is 2.3 kg . Two marbles of masses 2.15 g and 12.48 g...

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  14. The number of significant figures in 0.10200 is

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  15. When the number 0.046508 is reduced to 4 significant figures, then it ...

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  16. With due regard to significant figures, the value of (46.7-10.04) is

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  17. The value of pi//53.2 with due regard to singificant figures is,

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  18. By rounding off, (a) 20.96 and (b) 0.0003125 to 3 significant figures ...

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  19. If the unit of length is doubled and that of mass and time is halved, ...

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  20. Given M is the mass suspended from a spring of force constant. k.The d...

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