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In the context of accuracy of measuremen...

In the context of accuracy of measurement and significant figures in expressing result of experiment, which of the following is /are correct
(1) Out of the two measurements 50.14 cm and `0.00025` ampere, the first one has greater accuracy
(2) If one travels 478 km by rail and 397 m by road,, the total distance travelled is 478 km

A

Only (I) is correct

B

Only (II) is correct

C

Both are correct

D

None of the above is correct

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The accuracy of measurement also lies in the way the results is expressed. The number of digits to which a value is to be expressed is one digit more than number of digits after after an operation is carried out on the given values. The error can be minimised by many trials and using the correct methods are instruments. The number of significant figures can reduce in

    A
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    B
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    C
    Multiplication
    D
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  • Precision refers to the closeness of a set of values obtained for identical measurement of a quantity. Precision depends on the limitations of measuring devices and the skills with which it is used. However, accuracy refers to the closeness of a single measurement to its true value. The digits in a properly measurement are known as significant figures. these are meaningful digits in a measured or calculated quantity. The greater the number of significant figures in a reported result, smaller is the uncertainly and greater is the precision. the zeros at the beginning are not counted. the zeros to the right of a decimal point are counted. in the numbers that do not contain a decimal point. "trailing" zeros may or may not be significant . the purpose of zeros at the end of a number is to convey the correct range of uncertainly. If repeated measurements give values close to one another, the number is:

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    surely precise
    B
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    C
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    D
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  • 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
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    C
    `1.88m^2`
    D
    `0.882026 m^2`
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