Units & Dimensions

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Q1. The dimensional formula for velocity is: (2022)

Solution:

Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].

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Q2. Which of the following quantities is not a scalar? (2021)

Solution:

Velocity is a vector quantity as it has both magnitude and direction, while mass, temperature, and speed are scalar quantities.

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Q3. What is the unit of electric charge in the SI system? (2019)

Solution:

The unit of electric charge is Coulomb (C).

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Q4. Which of the following is the unit of pressure? (2023)

Solution:

The unit of pressure is Pascal (Pa), which is equivalent to N/m².

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Q5. The dimensional formula for energy is: (2020)

Solution:

Energy is defined as work done, which has the dimensional formula [M^1 L^2 T^-2].

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Q6. The unit of energy in the SI system is equivalent to which of the following? (2020)

Solution:

Energy is measured in Joules, and 1 Joule is defined as 1 Newton-meter, hence both A and B are correct.

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Q7. What is the SI unit of electric charge? (2020)

Solution:

The SI unit of electric charge is Coulomb (C).

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Q8. The unit of energy equivalent to 1 Joule is: (2023)

Solution:

1 Joule is defined as 1 kg·m²/s² and also equals 1 N·m, hence both are correct.

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Q9. The unit of electric charge in the SI system is: (2022)

Solution:

Coulomb (C) is the SI unit of electric charge.

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Q10. Which of the following is the correct dimensional formula for acceleration? (2022)

Solution:

Acceleration is defined as the change in velocity per unit time, so its dimensional formula is [M^0 L^1 T^-2].