## Physical Quantities, Units and Measurement (O Level)

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 Question 1
A vernier caliper is precise to ___ ?
 A 1mm B 0.1mm C 0.01mm D 0.001mm
 Question 2
A micrometer screw gauge is precise to ___ ?
 A 0.1mm B 0.01mm C 0.005mm D 0.05mm
 Question 3
Which of the following is accurate but not precise?
 A A B B C C D D
 Question 4
Which of the following is precise, but not accurate?
 A A B B C C D D
 Question 5
What is the zero error shown below?
 A 0.3 mm B 0.03 mm C -0.3 mm D -0.03 mm
Question 5 Explanation:
The Vernier Caliper is precise to 0.1 mm. When the error reads a positive number, it is known as a positive error.
 Question 6
This is the final reading on a vernier caliper with a zero error of -0.3 mm. What is the actual measurement?
 A 9.99 cm B 9.72 cm C 10.05 cm D 10.32 cm
Question 6 Explanation:
Formula for measurements with zero error: Final reading - Zero error = Actual reading. Final reading is 10.02 cm or 100.2 mm. Since Zero error is -0.3 mm, Final reading = 100.2 mm - (-0.3 mm) = 100.5 mm or 10.05 cm.
 Question 7
What is the zero error shown below?
 A 0.3 mm B -0.3 mm C 0.7 mm D -0.7 mm
Question 7 Explanation:
Since the vernier scale is behind the main scale, zero error is negative. When zero error is negative, you have to read from the back of the vernier scale, getting a zero error of -0.7 mm instead of -0.3 mm.
 Question 8
What is the zero error as shown below?
 A 0.3 mm B 0.03 mm C -0.3 mm D -0.03 mm
 Question 9
What is the zero error as shown below?
 A 0.048 mm B 0.48 mm C -0.2 mm D -0.02 mm
Question 9 Explanation:
The screw has been closed past the 0 cm mark. Hence, the zero error is negative. Since it has gone past the 0 cm mark by 0.02 mm, zero error is -0.02 mm.
 Question 10
What is the reading shown below?
 A 9.48 cm B 9.48 mm C 9.98 cm D 9.98 mm
 Question 11
What is the reading as shown below?
 A 9.48 cm B 9.48 mm C 9.98 cm D 9.98 mm
Question 11 Explanation:
The 9.50 mm mark has been crossed. You need to add 0.48 mm to 9.50 mm to get the answer 9.98 mm.
 Question 12
A micrometer with a -0.03 mm zero error is used to get this final reading below. What is the actual measurement?
 A 2.41 mm B 2.35 mm C 2.91 mm D 2.85 mm
Question 12 Explanation:
Formula for measurements with zero error: Final reading - Zero error = Actual reading. Final reading is 2.88 mm. Since Zero error is -0.03 mm, Final reading = 2.88 - (-0.03 ) = 2.91 mm
 Question 13
A car travels 8 km southwards, followed by 6 km southwards. What is the magnitude of its distance and displacement?
 A Distance: 14 km Displacement: 14 km B Distance: 14 km Displacement: 10 km C Distance: 10 km Displacement: 14 km D Distance: 10 km Displacement: 10 km
 Question 14
A car travels 8 km southwards, followed by 6 km northwards. What is the magnitude of its distance and displacement?
 A Distance: 14 km Displacement: 14 km B Distance: 14 km Displacement: 10 km C Distance: 14 km Displacement: 2 km D Distance: 10 km Displacement: 14 km
 Question 15
A car travels 8 km southwards, followed by 6 km eastwards. What is the magnitude of its distance and displacement?
 A Distance: 14 km Displacement: 14 km B Distance: 14 km Displacement: 10 km C Distance: 10 km Displacement: 14 km D Distance: 10 km Displacement: 10 km
 Question 16
A car travels 8 km southwards, followed by 6 km eastwards. What is its southward displacement?
 A 14 km B 10 km C 8 km D 2 km
Question 16 Explanation:
The only direction to consider is south, as the question asks. Travelling East or West do not change the southward displacement. Only travelling North or South do.
 Question 17
A car travels 8 km to the west, 6 km to the north, 8 km to the east and 6 km to the south. What is its displacement?
 A 0 km B 6 km C 14 km D 28 km
Question 17 Explanation:
The car starts and ends at the same point. The straight line distance between the start and end point is 0 km.
 Question 18
The dimensions of a small book is measured as 73.2 mm, 37.2 mm, 2.37 mm. What measuring tool could have been used to obtain these readings?
 A Measuring tape B Micrometer Screw Gauge C Vernier Caliper D Meter Rule
Question 18 Explanation:
Only a Vernier Caliper has the precision of 0.1 mm.
 Question 19
23 m/s = _____ km/h
 A 82.8 B 1.38 C 828 D $6.39 \times {10^{ - 6}}$
Question 19 Explanation:
23 m/s = 0.023 km/s = (0.023 x 60) km/min = [(0.023 x 60) x 60] km/h = 82 km/h
 Question 20
A car travels 8 km southwards, followed by 6 km eastwards. What is the magnitude of its distance and displacement?
 A Distance: 14 km Displacement: 14 km B Distance: 14 km Displacement: 10 km C Distance: 10 km Displacement: 14 km D Distance: 10 km Displacement: 10 km
 Question 21
Which of the following is equivalent to the units of force?
 A $kgm{s^{ - 1}}$ B $kgm{s^{ - 2}}$ C $kgm{s^2}$ D $kgms$
Question 21 Explanation:
$\begin{array}{l} F = ma\\ N = kg(m{s^{ - 2}}) \end{array}$
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