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Questions and Answers
What is the dimensional formula for the physical quantity in the International System of Units (SI) known as energy?
What is the dimensional formula for the physical quantity in the International System of Units (SI) known as energy?
- M^1 L^2 T^-2 (correct)
- M^0 L^2 T^-1
- M^1 L^1 T^-1
- M^2 L^1 T^-2
A rectangular block has dimensions 1.5 m × 0.5 m × 0.3 m. What is the volume of the block in cubic meters?
A rectangular block has dimensions 1.5 m × 0.5 m × 0.3 m. What is the volume of the block in cubic meters?
- 0.300 m^3
- 0.225 m^3 (correct)
- 0.75 m^3
- 0.450 m^3
Which of the following is NOT a fundamental quantity in the SI system of units?
Which of the following is NOT a fundamental quantity in the SI system of units?
- Force (correct)
- Mass
- Length
- Temperature
In a measurement, if the actual length is 5.0 m and the measured length is 5.1 m, what is the percentage error in the measurement?
In a measurement, if the actual length is 5.0 m and the measured length is 5.1 m, what is the percentage error in the measurement?
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Which one of the following conversions is incorrect?
Which one of the following conversions is incorrect?
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Study Notes
Dimensional Formula for Energy
- Energy is represented by the dimensional formula [M^1 L^2 T^-2].
- It reflects mass (M), length (L), and time (T) dimensions in the International System of Units (SI).
Volume of a Rectangular Block
- Volume is calculated using the formula: Volume = length × width × height.
- For a block with dimensions 1.5 m × 0.5 m × 0.3 m, the volume is 0.225 m³ (1.5 × 0.5 × 0.3).
Fundamental Quantities in SI Units
- Fundamental quantities in the SI system include length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity.
- Identify which specified quantity is not considered fundamental.
Percentage Error in Measurements
- Percentage error is calculated using the formula: [ \text{Percentage Error} = \left( \frac{\text{Measured Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100 ]
- For an actual length of 5.0 m and a measured length of 5.1 m, the percentage error is calculated as (\frac{(5.1 - 5.0)}{5.0} \times 100 = 2%).
Unit Conversion
- Understand that conversions between different units can vary in correctness.
- Be attentive to identify incorrect conversions, as they can lead to errors in calculations.
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