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Units & Dimensions

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Q. If a physical quantity has dimensions [M^0 L^1 T^-1], what is it? (2020)
  • A. Velocity
  • B. Acceleration
  • C. Force
  • D. Energy
Q. If a physical quantity has dimensions [M^2 L^3 T^-1], what could it represent? (2020)
  • A. Force
  • B. Pressure
  • C. Volume flow rate
  • D. Energy
Q. If the mass of an object is measured in kilograms and its volume in cubic meters, what is the unit of density? (2022)
  • A. kg/m
  • B. kg/m^3
  • C. m^3/kg
  • D. m/kg
Q. If the speed of light is 3 x 10^8 m/s, what is its value in km/s? (2021)
  • A. 3 x 10^5 km/s
  • B. 3 x 10^6 km/s
  • C. 3 x 10^7 km/s
  • D. 3 x 10^8 km/s
Q. The dimensional formula for energy is: (2020)
  • A. [M^1 L^2 T^-2]
  • B. [M^2 L^1 T^-2]
  • C. [M^0 L^2 T^0]
  • D. [M^1 L^0 T^-1]
Q. The dimensional formula for frequency is: (2023)
  • A. [T^-1]
  • B. [M^0 L^0 T^-1]
  • C. [M^1 L^1 T^-1]
  • D. [M^0 L^1 T^0]
Q. The dimensional formula for velocity is: (2022)
  • A. [M^0 L^1 T^-1]
  • B. [M^1 L^1 T^0]
  • C. [M^1 L^0 T^-1]
  • D. [M^0 L^0 T^1]
Q. The unit of electric charge in the SI system is: (2022)
  • A. Coulomb
  • B. Ampere
  • C. Volt
  • D. Ohm
Q. The unit of energy equivalent to 1 Joule is: (2023)
  • A. 1 kg·m²/s²
  • B. 1 N·m
  • C. Both 1 kg·m²/s² and 1 N·m
  • D. None of the above
Q. The unit of energy in the CGS system is: (2020)
  • A. Joule
  • B. Erg
  • C. Calorie
  • D. Watt
Q. The unit of energy in the SI system is equivalent to which of the following? (2020)
  • A. Joule
  • B. Newton-meter
  • C. Both A and B
  • D. None of the above
Q. What is the base unit of temperature in the SI system? (2020)
  • A. Celsius
  • B. Fahrenheit
  • C. Kelvin
  • D. Rankine
Q. What is the relationship between the units of energy (Joule) and force (Newton)? (2021)
  • A. 1 J = 1 N·m
  • B. 1 J = 1 N/m
  • C. 1 J = 1 m/N
  • D. 1 J = 1 N^2
Q. What is the SI unit of electric charge? (2020)
  • A. Coulomb
  • B. Ampere
  • C. Volt
  • D. Ohm
Q. What is the unit of electric charge in the SI system? (2019)
  • A. Coulomb
  • B. Ampere
  • C. Volt
  • D. Ohm
Q. What is the unit of work in the SI system? (2023)
  • A. Joule
  • B. Newton
  • C. Watt
  • D. Pascal
Q. Which of the following is a base quantity? (2020)
  • A. Force
  • B. Energy
  • C. Length
  • D. Pressure
Q. Which of the following is a base unit in the SI system? (2020)
  • A. Liter
  • B. Meter
  • C. Newton
  • D. Joule
Q. Which of the following is the correct dimensional formula for acceleration? (2022)
  • A. [M^0 L^1 T^-2]
  • B. [M^1 L^0 T^-2]
  • C. [M^1 L^1 T^-1]
  • D. [M^0 L^0 T^-2]
Q. Which of the following is the correct dimensional formula for energy? (2023)
  • A. [M^1 L^2 T^-2]
  • B. [M^1 L^1 T^-1]
  • C. [M^0 L^2 T^-1]
  • D. [M^2 L^1 T^-2]
Q. Which of the following is the correct dimensional formula for frequency? (2021)
  • A. [M^0 L^0 T^-1]
  • B. [M^0 L^1 T^-1]
  • C. [M^1 L^0 T^-1]
  • D. [M^0 L^0 T^1]
Q. Which of the following is the unit of pressure? (2023)
  • A. Newton
  • B. Pascal
  • C. Joule
  • D. Watt
Q. Which of the following quantities has no dimensions? (2019)
  • A. Force
  • B. Energy
  • C. Angle
  • D. Pressure
Q. Which of the following quantities is not a scalar? (2021)
  • A. Mass
  • B. Temperature
  • C. Velocity
  • D. Speed
Showing 1 to 24 of 24 (1 Pages)

Units & Dimensions MCQ & Objective Questions

Understanding "Units & Dimensions" is crucial for students preparing for school and competitive exams. This topic forms the foundation of many scientific concepts and is frequently tested in various assessments. Practicing MCQs and objective questions on Units & Dimensions not only enhances your conceptual clarity but also boosts your confidence, enabling you to score better in exams.

What You Will Practise Here

  • Fundamental units and derived units
  • Dimensional analysis and its applications
  • Conversion of units and dimensional formulas
  • Key concepts of measurement in physics
  • Significant figures and their importance
  • Common prefixes and their meanings
  • Applications of Units & Dimensions in real-world problems

Exam Relevance

The topic of Units & Dimensions is a significant part of the syllabus for CBSE, State Boards, NEET, and JEE. Students can expect questions that assess their understanding of unit conversions, dimensional analysis, and the application of these concepts in solving numerical problems. Common question patterns include direct MCQs, fill-in-the-blanks, and numerical problems requiring dimensional consistency.

Common Mistakes Students Make

  • Confusing fundamental and derived units
  • Incorrectly applying dimensional analysis in problem-solving
  • Neglecting significant figures in calculations
  • Overlooking unit conversions, leading to wrong answers
  • Misunderstanding the concept of dimensional homogeneity

FAQs

Question: What are the fundamental units in the SI system?
Answer: The fundamental units in the SI system include meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity).

Question: How can I effectively prepare for Units & Dimensions questions?
Answer: Regular practice of MCQs, understanding key concepts, and reviewing common mistakes will help you prepare effectively for Units & Dimensions questions.

Start solving practice MCQs on Units & Dimensions today to enhance your understanding and excel in your exams. Remember, consistent practice is the key to success!

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