Chapter -1.1 "Physical quantities and measurement techniques" - Short Question
1.1 Physical Quantities and Measurement Techniques
Answer: Random error is an unpredictable variation in measurement that causes readings to fluctuate above or below the true value.
Explanation: It occurs due to reaction time, small environmental changes, or instrument limitations.
Answer: A single reading may be affected by random error and may not represent the true value.
Explanation: Without repetition, there is no way to check consistency.
Answer:
Average = Sum of readings ÷ Number of readings
Explanation: This formula combines all readings and divides by the total number taken.
Answer:
Sum = 8.0 + 8.2 + 7.8 = 24.0
Average = 24.0 ÷ 3 = 8.0 s
Explanation: The higher and lower values balance out.
Answer: A result that is very different from other readings.
Explanation: It does not follow the general pattern of results.
Q56. Give one reason why an anomalous reading may occur.
Answer: Misreading the instrument.
Explanation: Human error can produce an unusual value.
Q57. Why should anomalous results be checked?
Answer: To confirm whether it was a mistake before excluding it.
Explanation: Excluding results without justification reduces reliability.
Q58. Define reliability.
Answer: Reliability is the consistency of repeated measurements.
Explanation: Results are reliable if they are close to each other.
Q59. Define accuracy.
Answer: Accuracy is how close a measurement is to the true value.
Explanation: Accurate results are near the correct value.
Q60. How does averaging improve reliability?
Answer: It reduces the effect of random errors by balancing higher and lower readings.
Explanation: The final value becomes more consistent.
Q61. A student measures 2.0 mm, 2.1 mm, and 1.9 mm. Calculate the average thickness.
Answer:
Sum = 2.0 + 2.1 + 1.9 = 6.0
Average = 6.0 ÷ 3 = 2.0 mm
Explanation: The average gives a more reliable value.
Q62. Why does measuring many sheets of paper reduce percentage uncertainty?
Answer: The measured value increases while uncertainty stays the same.
Explanation: Percentage uncertainty decreases when measured value increases.
Q63. Write the formula for percentage uncertainty.
Answer:
Percentage uncertainty = (Uncertainty ÷ Measured value) × 100
Q64. If uncertainty is ±0.5 cm and measured value is 5 cm, calculate percentage uncertainty.
Answer:
(0.5 ÷ 5) × 100 = 10%
Explanation: The uncertainty is large compared to the measurement.
Q65. Why is timing 20 oscillations better than timing one?
Answer: It reduces percentage uncertainty.
Explanation: Larger total time reduces effect of reaction time error.
Q66. What happens to percentage uncertainty if measured value increases?
Answer: It decreases.
Explanation: Because uncertainty becomes smaller relative to the value.
Q67. A student records 10 s, 10 s, and 15 s. What should be done?
Answer: Check the 15 s reading and repeat the measurement.
Explanation: 15 s may be anomalous.
Q68. Why should results be recorded with units?
Answer: To clearly indicate the quantity being measured.
Explanation: Units are essential for correct scientific reporting.
Q69. What does a large spread of results indicate?
Answer: Poor reliability.
Explanation: The experiment may contain significant random errors.
Q70. Why is averaging especially important for short time intervals?
Answer: Because reaction time error becomes large compared to small time values.
Explanation: Averaging reduces the effect of this error.
Sana Shariq
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