Units and Measurements Mock Test – Class 11 Physics

1. The proposed relation , where and are velocities, is acceleration, and is displacement, is dimensionally invalid because has dimensions

2. The statement “a measured quantity is expressed as ______” is completed by

3. The expression for speed becomes meaningful in SI when the blank is filled as , so the unit is ______.

4. A measured speed is obtained from two position readings and two time readings: . Given , , , and , the maximum percentage error in is closest to

5. A screw gauge has pitch and circular scale divisions. It measures the diameter of a wire with main scale reading , circular scale reading , and zero error . The cross-sectional area of the wire, using , is closest to

6. A screw gauge has pitch and divisions on the circular scale. If the circular scale advances by divisions beyond the main scale reading, the extra length shown by the circular scale is

7. A prefix record shows the following entries.

The entry that needs correction is

8. 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

9. The length and breadth of a rectangle are and . The maximum percentage error in its area is approximately

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

11. The area under a force-displacement graph has the dimension of

12. An arc of length is cut from a circle of radius . The angle subtended at the centre is

13. Use the graph description below.

The slope of the graph represents

14. A rod length is found by subtracting two scale readings: . The result with maximum absolute error is

15. A vernier callipers shows an observed length of . If its zero error is , the corrected length is

16. A measurement gives for a time interval whose accepted value is . The absolute size of the error is

17. A reading set for a time period is , , , and . If is calculated using , and is taken as exact for this question, the approximate percentage uncertainty in using mean absolute error in is

18. A lab report gives the following final result for a measured length: . The better reported form is

19. The symbol used in represents

20. From , the dimensional formula of force is

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

22. In the expression identical coins have total mass , the number is treated as

23. In the relation , is velocity and is time. The dimensions of and , respectively, are

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

25. Two lengths are measured as and . Their sum with maximum absolute error is

26. The quotient should be reported as

27. A road distance is written once as and once as . The item that remains the same in both records is the

28. A quantity is calculated from a measured value . If the percentage error in is , the percentage error in is

29. A method note says, “Measure identical thin wires placed side by side over a total width .” The diameter of one wire is best estimated as

30. A set of repeated readings has small scatter, but the instrument is known to have a calibration error. The most suitable conclusion is that the readings may be

31. A length is measured with a ruler whose zero mark is broken, so all readings are taken from the mark and subtracted properly at the end. This procedure mainly helps to

32. A measurement note records a temperature as and a current as . The unit symbols show that

33. The statement that best describes why scientific notation is useful in measurements is

34. A container has mass when full and when empty. The mass of the contents with maximum absolute error is

35. A sphere has diameter . Its volume is calculated using . If is treated as exact, the maximum absolute error in the volume is closest to

36. A nucleus has a typical radius of about , while an atom has a typical radius of about . The atom is larger by a factor of about

37. A pressure is calculated from a force reading acting on a circular area of diameter . Since , the maximum percentage error in is

38. In the relation , is velocity and is displacement. The dimensional formula of is

39. A quantity is assumed to depend on force , area , and time as , where is dimensionless. If has the dimensions of power, the values of , , and are

40. A record gives rules for maximum percentage error.

The row that needs repair is

41. A spring constant has SI unit . If , its value in is

42. Measurement in physics means

43. Complete the statement: A physical quantity expressed as has as the ______ and as the ______.

44. A relation has the form , where is displacement, is velocity, and is time. The dimensional formula of is

45. A measured quantity is calculated using . Given , , , and , the maximum percentage error in is

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

47. A dimensionally consistent expression for a time using only and , where is length and is acceleration, must be proportional to

48. A relation is assumed in the form , where is speed, is force, is mass, is displacement, and is dimensionless. The powers , , and are

49. A distant object is observed from two points separated by . If its parallax angle is , its distance is

50. 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