Units and Measurements Mock Test – Class 11 Physics

1. A measurement table is given below.

The row whose description needs repair is

2. A physical quantity is given by . If , , and , the maximum percentage error in is

3. The expression is meaningful as a measurement because

4. A speed is measured as with a maximum uncertainty of . Expressed in , the speed and uncertainty are

5. A set of repeated observations is finally written as rather than only . This is done to show

6. A formula is proposed as , where is radius, is density , has dimensions , is speed, and is dimensionless. The values of , , and are

7. During a scale reading, the eye is placed far to one side of the mark instead of directly above it. The resulting reading error is mainly due to

8. Two instruments are used to measure the same length whose true value is . Instrument P repeatedly gives , , and . Instrument Q gives , , and . The better comparison is

9. For a mass-spring system, , where is time period and is mass. The dimensional formula of must be

10. A claim says, “The value is always larger than , so is longer than .” The flaw in the claim is that it compares

11. A table compares measurements of different quantities.

The record that needs correction is

12. A graph is plotted with on the vertical axis and on the horizontal axis, where is time period and is acceleration. The dimension of the slope is

13. A diameter is measured as with an uncertainty of . A length is measured as with an uncertainty of . The comparison of percentage errors is

14. In the number , the number of significant figures is

15. A force is . Since , the force in dyne is

16. In , is length, is length, and is time. The dimensions of and , respectively, are

17. A screw gauge has least count . The main scale reading is , and the circular scale reading is . The observed diameter is

18. A direct measurement method is unsuitable for very large astronomical distances mainly because

19. A quantity has SI unit . Its value is in SI. If it is expressed using , , , and , its numerical value becomes

20. The dimensional formula of acceleration follows from . It is

21. A stopwatch records the start of an event at and the end at . The time interval is

22. Match the introductory symbols with the quantities they usually represent.

The matching that fits the usual notation is

23. The unit steradian is associated with the measurement of

24. The least count of an instrument means

25. A physical quantity is best described as a property that can be

26. A timing record lists for an interval. In SI base unit form, this is

27. The group containing only fundamental physical quantities from the usual mechanics starting set is

28. Four mass readings are , , , and . The mean value is . The absolute deviations are , , , and . The result should be reported as

29. A data table compares two sets of repeated readings for the same length.

The better statement about random scatter is

30. In multiplication or division of measured quantities, the final result is usually reported with

31. A wire has diameter . Expressed in metres, this diameter is

32. A resisting force is written as , where is speed. The dimensions of and , respectively, are

33. Speed is treated as a derived quantity because it is obtained from

34. Study the mass-scale records below.

The row that needs repair is

35. A cylindrical wire has length , diameter , and mass . Its density is calculated from . The maximum percentage error in is closest to

36. A thermometer is wrongly calibrated so that every temperature reading is higher than the actual temperature. The best way to reduce this error is to

37. A passage from a measurement record is given below.

The most suitable way to report the best estimate is to

38. A sound source vibrates with frequency . Its time period is

39. A periodic event repeats times in . Its frequency is

40. The radius of a circle is measured with a percentage error of . Since its area is , the percentage error in area is

41. A vernier reading of is to be expressed in . The value is

42. A measurement record is given below.

The area with maximum percentage error is best reported as

43. The result of adding and , rounded according to the decimal-place rule, is

44. A pendulum length is measured as . The time for oscillations is . Using , the maximum percentage error in is closest to

45. A stopwatch starts from instead of . It shows at the end of a race. The corrected time interval is

46. Consider the following statements.
I. Length, mass, and time can be used as fundamental quantities in mechanics.
II. Density is derived because it uses mass and volume.
III. Time is derived from speed and length in the basic classification of quantities.
The valid statements are

47. A total length is made from three measured parts: , , and . The combined length with maximum absolute error is

48. A vernier callipers reading is formed by adding the main scale reading to

49. A time interval of is compared with . The second interval is

50. A graph has velocity on the vertical axis and time on the horizontal axis. The dimension of the slope is