Free Dimensional Analysis MCQs with Answers
12 Dimensional Analysis MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
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12 questions
- A. [L]
- B. [T]
- C. [L][T-1]
- D. [L][T-2]
Explanation: The second equation of motion is s = vft + 1/2 at2. The dimension of the first term vft is [L][T-1][T] = [L].
Correct answer: [L][T-2]- A. MLT-2 and LT-2
- B. ML2 T and LT-2
- C. MLT-2 and LT2
- D. MLT-2 and LT-1
Explanation: Force (F) is defined by Newton's second law as mass (m) multiplied by acceleration (a) (F = ma).* The dimension of mass is [M] (Mass).*…
Correct answer: MLT-2 and LT-1- A. [L]
- B. [T]
- C. [L-1]
- D. [T-1]
Explanation: The second equation of motion is given by S = vit + ½ at2, where S is the displacement, vi is the initial velocity, a is the acceleration…
Correct answer: [L]- A. [MLT-1]
- B. [ML2T-1]
- C. [MLT-2]
- D. [ML-1T]
Explanation: Momentum is defined as the product of mass and velocity, so its dimensions are given by multiplying the dimensions of mass (M) and…
Correct answer: [MLT-1]- A. Only the variables in the equation
- B. Only the constants in the equation
- C. The correctness of an equation
- D. Both constants and variables in the equation
Explanation: The principle of homogeneity of dimensions states that for an equation to be dimensionally correct, every term must have the same…
Correct answer: The correctness of an equation- A. A
- B. B
- C. C
- D. D
Explanation: The following is the solution:𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 = 𝐹𝑜𝑟𝑐𝑒/𝐴𝑟𝑒𝑎By dimensional analysis: 𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 = 𝑘𝑔. 𝑚.
Correct answer: D- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation: T=2πgl The period of a simple pendulum is given by T = 2 gl, where l is the length of the pendulum and g is the acceleration due to…
Correct answer: Option C- A. T-2
- B. LT-2
- C. LT-1
- D. M1T-2
Explanation: Angular acceleration (α) is defined as the rate of change of angular velocity (ω) with respect to time (t). Therefore, α = Δω/Δt.
Correct answer: T-2- A. (MLT)
- B. (M2 42 L)
- C. (ML2 T-2)
- D. (ML2 T2)
Explanation: The SI unit for torque is the Newton-metre or kgm2sec-2. Torque has the dimension of force times distance, symbolically T−2L2M.
Correct answer: (ML2 T-2)- A. strain
- B. refractive index
- C. magnification
- D. All of these
Explanation: The given dimensions indicate a dimensional quantity. Strain = change in length/original length [L]/[L] =1 so it is dimensionless…
Correct answer: All of these- A. angular momentum
- B. power
- C. impulse
- D. viscosity
Explanation: The dimensions ML-1T-1 indeed correspond to viscosity. The correct explanation for option D is as follows:Viscosity is a property of…
Correct answer: viscosity- A. Second
- B. Weber
- C. Henry
- D. Tesla
Explanation: The product of Ohm (unit of resistance) and Farad (unit of capacitance) results in the unit of time, which is the second.
Correct answer: SecondDimensional Analysis MCQs: common questions
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There are 12 Dimensional Analysis MCQs in the Physics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Dimensional Analysis MCQ have an explanation?
Yes. Each Dimensional Analysis question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
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