Question:
According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of
According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of
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Pressure times volume has the units of force per area times area times length, which is force times length.
Updated On: Oct 1, 2026
- momentum
- energy
- force
- impulse
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
The SI unit of a product is the product of units.
Step 2: Detailed Explanation:
Pressure has the unit \(\text{N/m}^2\) and volume has the unit \(\text{m}^3\).
\[ [PV] = \frac{\text{N}}{\text{m}^2}\times\text{m}^3 = \text{N m} = \text{J} \]
Newton metre is the joule, the unit of energy (and work).
Step 3: Check the options.
Momentum is kg m/s, force is N, and impulse is N s. None equals N m.
Final Answer:
PV has the unit of energy, option (B). \[ \boxed{\text{Energy}} \]
The SI unit of a product is the product of units.
Step 2: Detailed Explanation:
Pressure has the unit \(\text{N/m}^2\) and volume has the unit \(\text{m}^3\).
\[ [PV] = \frac{\text{N}}{\text{m}^2}\times\text{m}^3 = \text{N m} = \text{J} \]
Newton metre is the joule, the unit of energy (and work).
Step 3: Check the options.
Momentum is kg m/s, force is N, and impulse is N s. None equals N m.
Final Answer:
PV has the unit of energy, option (B). \[ \boxed{\text{Energy}} \]
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