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Two students 'x' and 'y' report the weig...

Two students 'x' and 'y' report the weight of the same substance as 5.0g and 5.00g respectively. Which of the following statement is correct.

A

Both are equally accurate

B

'x' is more accurate than 'y'

C

y' is more accurate than 'x'

D

bothe are inaccurate scientifically

Text Solution

AI Generated Solution

The correct Answer is:
To determine which student, X or Y, reported the weight of the substance more accurately, we need to analyze the reported values: 1. **Identify the reported weights**: - Student X reported the weight as **5.0 g**. - Student Y reported the weight as **5.00 g**. 2. **Understand the significance of decimal places**: - The number of decimal places in a measurement indicates the precision of that measurement. - Student X's measurement (5.0 g) has one decimal place, which implies a precision of ±0.1 g. - Student Y's measurement (5.00 g) has two decimal places, which implies a precision of ±0.01 g. 3. **Compare the precision of both measurements**: - Since Y's measurement has more decimal places, it indicates that Y's measurement is more precise than X's. - A more precise measurement has a smaller range of possible error, meaning it is closer to the true value. 4. **Conclusion**: - Therefore, since Student Y's measurement (5.00 g) is more precise than Student X's measurement (5.0 g), we can conclude that **Y is more accurate than X**. Thus, the correct statement is that **Student Y is more accurate than Student X**.
To determine which student, X or Y, reported the weight of the substance more accurately, we need to analyze the reported values: 1. **Identify the reported weights**: - Student X reported the weight as **5.0 g**. - Student Y reported the weight as **5.00 g**. 2. **Understand the significance of decimal places**: - The number of decimal places in a measurement indicates the precision of that measurement. ...
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