Unit 1 · Types of Units

Types of Units

ScienceSubject
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1Which of the following is a fundamental unit: newton, pascal, kilogram or joule?
2Which physical quantity has the unit \( \text{m s}^{-1} \): acceleration, velocity, force or density?
3Which of the following is a derived unit: candela, ampere, joule or kelvin?
4Which of the following units denotes newton: \( \text{kg m s}^{-2} \), \( \text{kg m}^2\text{s}^{-2} \), \( \text{kg m}^{-2}\text{s}^{-2} \) or \( \text{kg m s}^{-1} \)?
5Give reason: Joule is the derived unit of work.
6Give reason: \( v^2 = ut \) is not a valid relation.
7Differentiate between fundamental unit and derived unit.
8What is a unit?
9Write the SI units of mass, temperature, energy and density.
10How is the validity of an equation checked? Write an example.
11Mention the fundamental units involved in the unit of pressure.
12Find out the fundamental units involved in newton (N), watt (W), joule (J) and pascal (Pa).
13Niva claimed that an alternative formula for power is \( P = mv^2 \) and the formula of pressure is \( P = \frac{mv}{A} \). Check the validity of these formulae by the analysis of units.
14Prove that the unit of electric resistance, ohm (Ω) = \( \text{kg m}^2\text{s}^{-3}\text{A}^{-2} \)
15Check the validity of \( v = u + at \) by unit analysis.
16Why are numbers such as 2 and ½ left out in unit analysis, and what weakness does this cause?
17Momentum is mass multiplied by velocity. Which fundamental units are involved in the unit of momentum?