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Significant figures in the meaured value...

Significant figures in the meaured value of a physical quantity tell the number of digits in which we have confidence. Larger the number of significant figures obtained in a measurement, greater is the accuracy of measurement and vice-verse, In addition or subtraction, the number of decimal places in the result should equal the smallest number of decimal places in any term in the operation. In multiplication and division, the number of significant figures in the product or in the quatient is the same as the smallest number of significant figures in any of the factors. With the help of the compreshension given above, choose the most appropriate alternative for each of the following questions :
The area enclosed by a circle of diameter 1.06 m with correct number of significant figures is

A

`0.88 m^2`

B

`0.883 m^2`

C

`1.88m^2`

D

`0.882026 m^2`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Here, `d= 2 r= 1.06m, r= (1.06)/(2) = 0.530 m`
Area enclosed `=pi r^2=(22)/(7) (0.530)^2`
`=0.88282 m^2 = 0.883 m^2`
(with 3 significant figures)`
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Knowledge Check

  • Significant figures in the meaured value of a physical quantity tell the number of digits in which we have confidence. Larger the number of significant figures obtained in a measurement, greater is the accuracy of measurement and vice-verse, In addition or subtraction, the number of decimal places in the result should equal the smallest number of decimal places in any term in the operation. In multiplication and division, the number of significant figures in the product or in the quatient is the same as the smallest number of significant figures in any of the factors. With the help of the compreshension given above, choose the most appropriate alternative for each of the following questions : The circumference of the circle of diameter 1.06 m with correct number of significant figures is

    A
    3.33 m
    B
    3.33142 m
    C
    3.3 m
    D
    3m

  • Significant figures in the meaured value of a physical quantity tell the number of digits in which we have confidence. Larger the number of significant figures obtained in a measurement, greater is the accuracy of measurement and vice-verse, In addition or subtraction, the number of decimal places in the result should equal the smallest number of decimal places in any term in the operation. In multiplication and division, the number of significant figures in the product or in the quatient is the same as the smallest number of significant figures in any of the factors. With the help of the compreshension given above, choose the most appropriate alternative for each of the following questions : Subtract 2.6 xx10^4 from 3.9 xx10^5 with due regard to significant figures

    A
    `3.64 xx10^5`
    B
    `3.7 xx10^5`
    C
    `3.6 xx10^5`
    D
    `3.65 xx10^6`

  • Significant figures in the measured value of a physical quantity tell the number of digits in which we have confidence. Larger the number of significant figures obtained in a measurement, greater is the accuracy of measurement and vice-verse, In addition or subtraction, the number of decimal places in the result should equal the smallest number of decimal places in any term in the operation. In multiplication and division, the number of significant figures in the product or in the quotient is the same as the smallest number of significant figures in any of the factors. With the help of the comprehension given above, choose the most appropriate alternative for each of the following questions : Add 3.8 xx10^(-6) to 4.2 x10^(-5) with due regard to significant figures

    A
    `4.6 xx10^(-5)`
    B
    `4.6 xx10^(-6)`
    C
    `4.58 xx10^(-5)`
    D
    `4.580 xx10^(-5)`