Question

for each question, there are two statements. decide whether each statement is true or false. then decide whether statement ii is a correct explanation for statement i.
statement i

1. there are five significant figures in the measurement 0.00450 m.
2. precise measurements will always be accurate measurements.
3. a temperature in kelvins is always numerically larger than the same temperature in degrees celsius.

statement ii
because all zeros to the right of a decimal point in a measurement are signi
because a value that is measured 10 times row must be accurate.
because a temperature in kelvins equals a perature in degrees celsius plus 2

Explanation:

10.

Step1: Determine significant - figures in 0.00450 m

Leading zeros (zeros before non - zero digits) are not significant. Trailing zeros after a non - zero digit and after a decimal point are significant. In 0.00450 m, the significant figures are 4, 5, and 0, so there are 3 significant figures. So Statement I is false.

Step2: Analyze Statement II

Not all zeros to the right of a decimal point in a measurement are significant. Only trailing zeros after non - zero digits are significant. So Statement II is false.

Step1: Define precision and accuracy

Precision refers to the closeness of a set of measurements to each other. Accuracy refers to the closeness of a measurement to the true value. Precise measurements can be far from the true value (e.g., a faulty scale that always gives the same wrong value). So precise measurements are not always accurate. Statement I is false.

Step2: Analyze Statement II

Just because a value is measured 10 times in a row does not mean it is accurate. It only means the measurements are precise (repeated). So Statement II is false.

Step1: Recall the temperature conversion formula

The conversion formula from Celsius to Kelvin is $T(K)=T(^{\circ}C)+ 273.15$. So a temperature in kelvins is always numerically larger than the same temperature in degrees Celsius. Statement I is true.

Step2: Analyze Statement II

The correct formula is $T(K)=T(^{\circ}C)+273.15$, not just adding 2. So Statement II is false.

Answer:

Statement I: False
Statement II: False
Statement II is not a correct explanation for Statement I

11.