Units & Measurement
Q. Which of the following is the correct representation of 0.00056 in scientific notation?
A.
5.6 x 10^-4
B.
56 x 10^-5
C.
0.56 x 10^-3
D.
5.6 x 10^3
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Solution
0.00056 in scientific notation is correctly represented as 5.6 x 10^-4.
Correct Answer: A — 5.6 x 10^-4
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Q. Which of the following is the correct representation of the speed of light?
A.
3.00 × 10^8 m/s
B.
3.00 × 10^6 m/s
C.
3.00 × 10^10 m/s
D.
3.00 × 10^9 m/s
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Solution
The speed of light in vacuum is approximately 3.00 × 10^8 m/s.
Correct Answer: A — 3.00 × 10^8 m/s
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Q. Which of the following is the correct unit for measuring area?
A.
Square meter
B.
Cubic meter
C.
Liter
D.
Joule
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Solution
The correct unit for measuring area is square meter.
Correct Answer: A — Square meter
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Q. Which of the following is the correct unit for measuring electric charge?
A.
Coulomb
B.
Ampere
C.
Volt
D.
Ohm
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Solution
The SI unit for electric charge is Coulomb (C).
Correct Answer: A — Coulomb
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Q. Which of the following is the correct unit for measuring electric current?
A.
Volt
B.
Ohm
C.
Ampere
D.
Watt
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Solution
The SI unit for measuring electric current is the Ampere.
Correct Answer: C — Ampere
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Q. Which of the following is the correct unit for measuring energy?
A.
Joule
B.
Newton
C.
Watt
D.
Pascal
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Solution
The correct unit for measuring energy is Joule (J).
Correct Answer: A — Joule
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Q. Which of the following is true about significant figures?
A.
All zeros are significant
B.
Leading zeros are significant
C.
Trailing zeros in a whole number are significant
D.
Trailing zeros in a decimal are significant
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Solution
Trailing zeros in a decimal are significant.
Correct Answer: D — Trailing zeros in a decimal are significant
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Q. Which of the following is true about the number 2500?
A.
It has 2 significant figures
B.
It has 3 significant figures
C.
It has 4 significant figures
D.
It has infinite significant figures
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Solution
2500 has 2 significant figures unless specified with a decimal point.
Correct Answer: A — It has 2 significant figures
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Q. Which of the following numbers has 4 significant figures?
A.
0.0025
B.
2500
C.
25.00
D.
0.02500
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Solution
25.00 has 4 significant figures due to the trailing zeros after the decimal.
Correct Answer: C — 25.00
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Q. Which of the following numbers has the least number of significant figures?
A.
0.00345
B.
12.30
C.
100
D.
0.0456
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Solution
The number 100 has only 1 significant figure unless specified otherwise.
Correct Answer: C — 100
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Q. Which of the following numbers has the least significant figures?
A.
0.00560
B.
0.0560
C.
0.560
D.
5.60
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Solution
0.00560 has 3 significant figures, 0.0560 has 3 significant figures, 0.560 has 3 significant figures, and 5.60 has 3 significant figures. However, 0.00560 is the smallest number, but all have the same count of significant figures.
Correct Answer: A — 0.00560
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Q. Which of the following numbers has the most significant figures?
A.
0.00789
B.
7890
C.
7.890 x 10^3
D.
0.07890
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Solution
7.890 x 10^3 has 4 significant figures, while the others have 3, 3, and 4 respectively, but the leading zeros in the first and last options do not count.
Correct Answer: C — 7.890 x 10^3
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Q. Which of the following numbers has three significant figures?
A.
0.00456
B.
123.4
C.
1001
D.
0.0300
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Solution
0.0300 has three significant figures (the zeros after the 3 are significant because they come after a decimal point).
Correct Answer: D — 0.0300
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Q. Which of the following operations will yield a result with the least number of significant figures?
A.
5.00 + 2.0
B.
3.00 x 4.0
C.
6.0 / 2.00
D.
1.5 - 0.50
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Solution
In the operation 3.00 x 4.0, 3.00 has three significant figures and 4.0 has two. The result will have two significant figures, which is the least among the options.
Correct Answer: B — 3.00 x 4.0
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Q. Which of the following quantities has the dimension of energy?
A.
Force
B.
Work
C.
Power
D.
Pressure
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Solution
Work is defined as force times distance, and its dimensions are ML^2T^-2, which are the same as energy.
Correct Answer: B — Work
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Q. Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
A.
Velocity
B.
Acceleration
C.
Frequency
D.
Force
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Solution
Frequency has the dimension of [M^0 L^0 T^-1] as it is defined as the number of cycles per unit time.
Correct Answer: C — Frequency
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Q. Which of the following quantities has the dimension of [M^0 L^0 T^0]?
A.
Mass
B.
Time
C.
Length
D.
Angle
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Solution
Angle is a dimensionless quantity and has the dimension of [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
A.
Velocity
B.
Acceleration
C.
Force
D.
Pressure
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Solution
Velocity has the dimension of [M^0 L^1 T^-1], as it is defined as distance per unit time.
Correct Answer: A — Velocity
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Q. Which of the following quantities has the dimension of [M^0L^2T^-2]?
A.
Energy
B.
Force
C.
Power
D.
Work
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Solution
Energy and work both have the same dimensions of [M^1L^2T^-2]. Power has dimensions of [M^1L^2T^-3].
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
A.
Pressure
B.
Energy
C.
Force
D.
Work
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Solution
Energy has the dimension of [M^1 L^2 T^-2].
Correct Answer: B — Energy
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Q. Which of the following quantities has the dimension of [M⁰L²T⁻²]?
A.
Energy
B.
Force
C.
Power
D.
Work
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Solution
Energy and work both have the same dimensions of [M⁰L²T⁻²], as they are equivalent.
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension [M^0 L^0 T^0]?
A.
Mass
B.
Time
C.
Length
D.
Angle
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Solution
Angle is a dimensionless quantity and has the dimension [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension [M^0 L^1 T^-1]?
A.
Velocity
B.
Acceleration
C.
Force
D.
Pressure
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Solution
Velocity has the dimension [M^0 L^1 T^-1], as it is defined as distance per unit time.
Correct Answer: A — Velocity
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Q. Which of the following quantities has the dimension [M^1 L^2 T^-2]?
A.
Energy
B.
Force
C.
Pressure
D.
Power
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Solution
Energy has the dimension [M^1 L^2 T^-2].
Correct Answer: A — Energy
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Q. Which of the following quantities is a scalar?
A.
Velocity
B.
Force
C.
Acceleration
D.
Temperature
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Solution
Temperature is a scalar quantity as it has magnitude but no direction, while velocity, force, and acceleration are vector quantities.
Correct Answer: D — Temperature
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Q. Which of the following quantities is dimensionally consistent with energy?
A.
Force x Distance
B.
Mass x Acceleration
C.
Pressure x Volume
D.
All of the above
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Solution
All the options are dimensionally consistent with energy, as they can be expressed in terms of [M^1 L^2 T^-2].
Correct Answer: D — All of the above
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Q. Which of the following quantities is dimensionless?
A.
Reynolds number
B.
Force
C.
Energy
D.
Pressure
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Solution
Reynolds number is dimensionless as it is a ratio of inertial forces to viscous forces.
Correct Answer: A — Reynolds number
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Q. Which of the following quantities is measured in Joules?
A.
Work
B.
Power
C.
Energy
D.
Both Work and Energy
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Solution
Both work and energy are measured in Joules (J) in the SI system.
Correct Answer: D — Both Work and Energy
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