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When number having uncertainties or erro...

When number having uncertainties or errors are used to compute other numbers. These will be uncertain. Its is especially important to underset this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of `pi`, the ration of circumference to diameter of a cricle. the correct value of ten digits is 3.141592654. he draws a circle and measures its diameter and circumference to its nearest milimeter obtaining the values 135 mm and 424 mm, respectively. using a calculator he finds `pi`=3.140840741.
Why does measured value not match with calculated value ?

A

due to systematic error

B

due to error n calculation

C

due to random error

D

lack of precision in measuring

Text Solution

Verified by Experts

The correct Answer is:
D

When an instrument in used to measure , it has its least count. Therefore, we can measure the value to nearest correct value and not absolute value.
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When number having uncertainties or errors are used to compute other numbers. These will be uncertain. Its is especially important to underset this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of pi , the ration of circumference to diameter of a cricle. the correct value of ten digits is 3.141592654. he draws a circle and measures its diameter and circumference to its nearest milimeter obtaining the values 135 mm and 424 mm, respectively. using a calculator he finds pi =3.140840741. What is the value of pi in the passage measured by the student.

When number having uncertainties or errors are used to compute other numbers. These will be uncertain. Its is especially important to underset this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of pi , the ration of circumference to diameter of a cricle. the correct value of ten digits is 3.141592654. he draws a circle and measures its diameter and circumference to its nearest milimeter obtaining the values 135 mm and 424 mm, respectively. using a calculator he finds pi =3.140840741. If diameter and circumeference both have an error of 1% what is error in value of pi ?

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