Q: Convert a speed of 90 km/h to m/s.

$$90 \times \frac{1000}{3600} = 25\ \mathrm{m/s}$$

Q: A land plot is 15 perches. Convert this area to square meters. ($$1\ \mathrm{perch} = 25.29\ \mathrm{m}^2)$$

$$15 \times 25.29 = 379.35\ \mathrm{m}^2$$

Q: Atmospheric pressure at sea level is $$1\ \mathrm{atm}. $$Convert this to Pascals ($$1\ \mathrm{atm} = 1.013 \times 10^5$\ \mathrm{Pa}).$$

$$1.013 \times 10^5$\ \mathrm{Pa}$$

Q: An electricity bill shows an energy use of $$2\ \mathrm{kWh}. $$Convert this to Joules. ($$1\ \mathrm{kWh} = 3.6 \times 10^6$\ \mathrm{J})$$

$$2 \times 3.6 \times 10^6$ = 7.2 \times 10^6$\ \mathrm{J}$$

Q: Which of the following equations is dimensionally consistent?

$$\mathrm{distance} = \mathrm{speed} \times \mathrm{time}$$

Question 1

Which of the following is NOT an SI base unit?

Accepted Answer

Newton (N)

Question 2

A student measures the length of a rod using a vernier caliper and records 12.34 cm. Which instrument would be most appropriate to verify this measurement with higher precision?

Accepted Answer

A micrometer screw gauge

Question 3

Convert a speed of 90 km/h to m/s.

Accepted Answer

$$90 	imes \frac{1000}{3600} = 25\ \mathrm{m/s}$$

Question 4

Which of the following derived units is correctly matched with its SI base units?

Accepted Answer

Force: $$\mathrm{kg\ m\ s$$^{-2}$$}$$

Question 5

A land plot is 15 perches. Convert this area to square meters. ($$1\ \mathrm{perch} = 25.29\ \mathrm{m}^2)$$

Accepted Answer

$$15 	imes 25.29 = 379.35\ \mathrm{m}^2$$

Question 6

Which instrument would you use to measure the electric current in a circuit?

Accepted Answer

Multimeter

Question 7

Atmospheric pressure at sea level is $$1\ \mathrm{atm}. $$Convert this to Pascals ($$1\ \mathrm{atm} = 1.013 	imes 10^5$\ \mathrm{Pa}).$$

Accepted Answer

$$1.013 	imes 10^5$\ \mathrm{Pa}$$

Question 8

Which of the following best describes dimensional analysis?

Accepted Answer

A method for checking the correctness of equations using fundamental dimensions

Question 9

Which of the following is a correct dimensional formula for velocity?

Accepted Answer

$$[M^0$ L^1$ T$$^{-1}$$]$$

Question 10

An electricity bill shows an energy use of $$2\ \mathrm{kWh}. $$Convert this to Joules. ($$1\ \mathrm{kWh} = 3.6 	imes 10^6$\ \mathrm{J})$$

Accepted Answer

$$2 	imes 3.6 	imes 10^6$ = 7.2 	imes 10^6$\ \mathrm{J}$$

Question 11

Which of the following is the correct SI unit for measuring temperature?

Accepted Answer

Kelvin (K)

Question 12

A stopwatch is used to measure which physical quantity?

Accepted Answer

Time

Question 13

Which of the following is a derived SI unit?

Accepted Answer

Newton (N)

Question 14

If a formula for energy is $$E = m v^2$, what are the dimensions of E$?

Accepted Answer

$$[M^1$ L^2$ T$$^{-2}$$]$$

Question 15

Which of the following statements about precision and accuracy is correct?

Accepted Answer

Precision refers to how close repeated measurements are to each other.

Question 16

Which SI prefix represents $$10^{-6}$$?

Accepted Answer

Micro-

Question 17

A force of $$10\ \mathrm{N} is $$applied to an object. What are the SI base units for this force?

Accepted Answer

$$\mathrm{kg\ m\ s$$^{-2}$$}$$

Question 18

Which measuring instrument would you use to determine the resistance of a resistor?

Accepted Answer

Multimeter

Question 19

Which of the following equations is dimensionally consistent?

Accepted Answer

$$\mathrm{distance} = \mathrm{speed} 	imes \mathrm{time}$$

Units, Measurements & Instruments: Foundations for Physics

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