Q1. Which of the following quantities has the dimension of energy?
Solution:
Work is defined as force times distance, and its dimensions are ML^2T^-2, which are the same as energy.
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Q2. What is the correct number of significant figures in the result of 6.022 x 10^23?
Solution:
6.022 has 4 significant figures, so the result retains that count.
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Q3. In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±2 m/s. What is the total uncertainty if the speed is used in a calculation involving division by 2?
Solution:
Total uncertainty = (2 m/s) / 2 = ±1 m/s.
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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 physical quantity is measured as 50.0 units with an uncertainty of ±1.0 units. If this quantity is multiplied by 3, what is the new uncertainty?
