Q1. A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³. What is the density range?
Solution:
Density range = 8.0 ± 0.1 = 7.9 g/cm³ to 8.1 g/cm³.
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Q2. If you multiply 2.5 (2 significant figures) by 3.42 (3 significant figures), how many significant figures should the answer have?
Solution:
The answer should have 2 significant figures, as the least number of significant figures in the factors is 2.
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Q3. What is the standard unit of temperature in the SI system?
Solution:
The standard unit of temperature in the SI system is Kelvin (K).
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Q4. A speed is measured as 20 m/s with an uncertainty of ±0.5 m/s. What is the absolute error in the speed measurement?
Solution:
The absolute error is given directly as ±0.5 m/s.
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Q5. A measurement of 30 m has an error of ±0.1 m. What is the true value if the measurement is taken as the average?
Solution:
True value is taken as the average of the measured value and the error, which is (30 + 29.9) / 2 = 30.05 m.
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Q6. When rounding the number 0.6789 to three significant figures, what is the result?
Solution:
When rounding to three significant figures, 0.6789 becomes 0.679.
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Q7. When dividing 6.02 by 2.0, how many significant figures should the answer have?
Solution:
The result should have the same number of significant figures as the measurement with the least significant figures, which is 2.0 (1 significant figure).
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Q8. What is the dimension of electric charge?
Solution:
The dimension of electric charge is [M^1 L^2 T^-3 I^1].
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Q9. Convert 5 kilometers to meters.
Solution:
5 kilometers is equal to 5000 meters.
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Q10. What is the equivalent of 1 liter in cubic meters?
