Least count and significant figures - One Line Questions

1. Which of the following is a non-zero digit and is always significant? — 1
2. How many significant figures are in the number 0.000000001? — 1
3. If a vernier caliper has a least count of 0.01 cm, what is the minimum difference it can measure? — 0.01 cm
4. If the vernier scale of a caliper has 50 divisions and it coincides with 49 main scale divisions, with 1 MSD = 1 mm, what is the least count? — 0.02 mm
5. A vernier caliper has 10 vernier scale divisions coinciding with 9 main scale divisions. If one main scale division is 1 mm, what is the least count of the vernier caliper? — 0.1 mm
6. A measuring instrument has a least count of 0.001 mm. This implies it can measure lengths with an uncertainty of: — 0.001 mm
7. What is the least count of a screw gauge if its pitch is 0.5 mm and it has 50 divisions on its circular scale? — 0.01 mm
8. How many significant figures are in the number 0.0056? — 2
9. How many significant figures are in the number 300? — Ambiguous
10. How many significant figures are in the number 7.00 x 10^4? — 3
11. How many significant figures are in the number 500.0? — 4
12. How many significant figures are in 1.00000? — 6
13. A measuring tape has markings every millimeter. What is its least count? — 0.1 cm
14. What is the least count of a meter scale divided into 100 equal parts? — 1 mm
15. What is the least count of a thermometer with markings every 0.5 degrees Celsius? — 0.5 degrees C
16. What is the least count of a digital balance that displays readings to two decimal places (e.g., 12.34 g)? — 0.01 g
17. In a screw gauge, the main scale is calibrated in millimeters and the circular scale has 100 divisions. If one main scale division is 1 mm, what is its least count? — 0.01 mm
18. Express 0.0000123 in scientific notation with 3 significant figures. — 1.23 x 10^-5
19. Which of the following represents the smallest uncertainty? — 10.000 +/- 0.001
20. Which of the following measurements has the highest number of significant figures? — 1.000 kg
21. The result of 10.2 m + 3.45 m - 1.0 m, expressed with the correct number of significant figures, is: — 12.6 m
22. Which of the following numbers has exactly 4 significant figures? — 1.200 x 10^3
23. If a measurement is reported as 15.0 cm, it implies the true value lies between: — 14.9 cm and 15.1 cm
24. The number of significant figures in 1010 is: — 3
25. When rounding off the number 2.465 to three significant figures, the result is: — 2.47
26. What is the result of 5.678 / 2.3, with the correct number of significant figures? — 2.47
27. In a measurement of 25.37 +/- 0.02 cm, what is the least count of the instrument used? — 0.02 cm
28. How many significant figures are in the number 120.05? — 5
29. The number of significant figures in 0.02030 is: — 4
30. What is the result of 10.5 g / 3.0 g, expressed with the correct number of significant figures? — 3.5 g
31. What is the result of 2.5 x 10^3 + 1.2 x 10^2, with the correct number of significant figures? — 2.62 x 10^3
32. What is the result of 2.5 cm + 1.35 cm, expressed with the correct number of significant figures? — 3.8 cm
33. How many significant figures are in 150.050? — 6
34. What is the result of 7.25 - 3.1, with the correct number of significant figures? — 4.2
35. What is the result of 4.5 m x 2.1 m, expressed with the correct number of significant figures? — 9.5 m^2
36. When measuring the length of an object with a ruler marked in centimeters, if the object measures between 15 cm and 16 cm, and you estimate it to be 15.7 cm, the digit '7' represents: — An uncertain digit.
37. The least count of a measuring instrument determines the: — Minimum measurable value
38. The least count of a device indicates its: — Precision
39. What does 'significant figures' in a measurement represent? — The digits that are known with certainty plus one doubtful digit.
40. What is the rule for rounding off a digit when the next digit is exactly 5? — Round to the nearest even digit.
41. Leading zeros (zeros to the left of the first non-zero digit) are: — Never significant.
42. Trailing zeros in a number without a decimal point are: — Ambiguous and their significance cannot be determined without further information.
43. Which of the following statements best describes the significance of the least count? — It determines the precision of the instrument.
44. The precision of a measurement is directly related to its: — Least count
45. When multiplying or dividing two quantities, the result should have the same number of significant figures as the quantity with the: — Least significant figures.
46. When adding or subtracting two quantities, the result should have the same number of decimal places as the quantity with the: — Least decimal places.
47. Trailing zeros (zeros to the right of the last non-zero digit) in a number with a decimal point are: — Always significant.
48. Zeros between two non-zero digits are: — Always significant.
49. What is the least count of a measuring instrument? — The smallest value that can be measured accurately by the instrument.
50. What is the rule for significant figures when dealing with exact numbers (like counts)? — They are considered to have an infinite number of significant figures.
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