Quiz for Units and Dimensions

Q1: Which of the following is a dimensionless quantity?

A. Pressure B. Strain C. Velocity D. Force

Q2: What are the dimensions of force?

A. MLT⁻² B. ML²T⁻² C. MLT⁻¹ D. M²LT⁻²

Q3: The dimensional formula for Planck’s constant is:

A. ML²T⁻² B. ML²T⁻¹ C. MLT⁻² D. MLT⁻¹

Q4: Which of the following pairs have the same dimensions?

A. Work and Torque B. Power and Energy C. Force and Momentum D. Pressure and Energy

Q5: Which quantity has the same dimensions as impulse?

A. Force B. Momentum C. Energy D. Power

Q6: The dimensional formula of pressure is:

A. ML⁻¹T⁻² B. MLT⁻² C. ML²T⁻² D. M²LT⁻²

Q7: Which of the following has different dimensions?

A. Stress B. Pressure C. Energy density D. Velocity gradient

Q8: The unit of coefficient of viscosity is:

A. kg·m⁻¹·s⁻¹ B. kg·m⁻¹·s⁻² C. kg·m²·s⁻² D. kg·m·s⁻¹

Q9: Which quantity has dimensional formula ML²T⁻³?

A. Power B. Work C. Momentum D. Velocity

Q10: Which physical quantity has the dimensional formula T⁻¹?

A. Velocity B. Acceleration C. Frequency D. Force

Q11: Dimensional formula of gravitational constant G is:

A. M⁻¹L³T⁻² B. ML³T⁻² C. MLT⁻² D. M⁻¹L²T⁻³

Q12: Which of these has same units as energy?

A. Work B. Power C. Force D. Momentum

Q13: Which is not a fundamental quantity?

A. Mass B. Time C. Length D. Speed

Q14: If the unit of length is increased by 2 times, the unit of area will change by a factor of:

A. 2 B. 4 C. 1/2 D. 1/4

Q15: What is the SI unit of angular velocity?

A. rad/s B. rad/s² C. m/s D. s⁻²

Q16: What is the dimensional formula of angular momentum?

A. ML²T⁻¹ B. MLT⁻² C. MLT⁻¹ D. ML²T⁻²

Q17: Dimension of Young’s modulus is same as that of:

A. Energy B. Pressure C. Force D. Density

Q18: Which of these is not correctly matched?

A. Power – ML²T⁻³ B. Pressure – ML⁻¹T⁻² C. Energy – ML²T⁻² D. Force – ML²T⁻²

Q19: A quantity has unit kg·m/s². Identify it.

A. Momentum B. Force C. Work D. Power

Q20: Which of the following is dimensionally correct?

A. Speed = Distance × Time B. Work = Force × Time C. Power = Work / Time D. Force = Mass / Acceleration