JEE (Main) Physics - Dimensions of Physics, Quantities, Dimensional Analysis and Its Applications

Dimensional Formula of Force is:
- A. \( [M^1L^1T^{-2}] \)
- B. \( [M^1L^2T^{-1}] \)
- C. \( [M^1L^2T^{-2}] \)
- D. \( [M^2L^1T^{-2}] \)
Answer: C
Which of the following is a dimensionless quantity?
- A. Strain
- B. Pressure
- C. Velocity
- D. Work
Answer: A
The dimensional formula of energy is identical to:
- A. Work
- B. Force
- C. Pressure
- D. Momentum
Answer: A
Dimensional analysis cannot be used to:
- A. Convert units
- B. Derive equations
- C. Check dimensional consistency
- D. Find proportionality constants
Answer: D
The dimensional formula of Planck’s constant is:
- A. \( [M^1L^2T^{-1}] \)
- B. \( [M^1L^1T^{-1}] \)
- C. \( [M^1L^2T^{-2}] \)
- D. \( [M^1L^0T^{-2}] \)
Answer: A
The dimensional formula of gravitational constant \( G \) is:
- A. \( [M^1L^3T^{-2}] \)
- B. \( [M^{-1}L^3T^{-2}] \)
- C. \( [M^1L^2T^{-2}] \)
- D. \( [M^{-1}L^3T^{-1}] \)
Answer: B
Which of the following physical quantities has the dimensions \( [M^1L^1T^{-2}] \)?
- A. Momentum
- B. Power
- C. Force
- D. Energy
Answer: C
The ratio of two similar physical quantities is:
- A. Always dimensionless
- B. Always has dimensions
- C. May or may not have dimensions
- D. None of the above
Answer: A
Which of these has the same dimensions as pressure?
- A. Stress
- B. Energy
- C. Force
- D. Acceleration
Answer: A
The dimensional formula of velocity is:
- A. \( [M^0L^1T^{-1}] \)
- B. \( [M^1L^0T^{-1}] \)
- C. \( [M^0L^2T^{-1}] \)
- D. \( [M^1L^1T^{-1}] \)
Answer: A
If the velocity \( v \), time \( t \), and mass \( m \) are given, the dimensions of \( v^2 \cdot m \) are:
- A. \( [M^1L^2T^{-2}] \)
- B. \( [M^1L^1T^{-1}] \)
- C. \( [M^2L^2T^{-2}] \)
- D. \( [M^1L^3T^{-2}] \)
Answer: A
Dimensional formula of momentum is:
- A. \( [M^1L^1T^{-1}] \)
- B. \( [M^1L^2T^{-1}] \)
- C. \( [M^1L^2T^{-2}] \)
- D. \( [M^1L^1T^0] \)
Answer: A
The dimensional formula of angular velocity is the same as:
- A. Frequency
- B. Force
- C. Work
- D. Acceleration
Answer: A
A dimensional equation can be used to:
- A. Establish a relation between physical quantities
- B. Determine constants in an equation
- C. Verify dimensional consistency
- D. All of the above
Answer: D
Which of the following has the same dimensions as energy?
- A. Power × Time
- B. Force × Velocity
- C. Force × Distance
- D. Acceleration × Distance
Answer: C

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JEE (Main) Physics - Dimensions of Physics, Quantities, Dimensional Analysis and Its Applications

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