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{:(,"Column I",,"Column II"),((A),"Base ...

`{:(,"Column I",,"Column II"),((A),"Base unit",(p),N),((B),"Derived unit",(q),hp),((C),"Improper unit",(r),"kgwt"),((D),"Practical",(s),"rad"),((E),"Supplementary unit",(t),kg):}`
(Note : Here it is given that you have to match one to one only)

A

t, p, s, q, r

B

p, q, r, s, t

C

p, r, q, s, t

D

t, p, r, q, s

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of matching the units from Column I with their corresponding definitions in Column II, we will analyze each term in Column I and find the best match from Column II. ### Step-by-Step Solution: 1. **Identify Base Unit**: - A base unit (or fundamental unit) is a unit that is defined independently of other units. The standard base units include the kilogram (kg) for mass, meter (m) for length, and second (s) for time. - **Match**: The base unit corresponds to **(t) kg**. - **Conclusion**: A matches with t. 2. **Identify Derived Unit**: - A derived unit is a unit that is derived from the base units. For example, force is measured in Newtons (N), which is derived from the base units of mass, length, and time (1 N = 1 kg·m/s²). - **Match**: The derived unit corresponds to **(p) N**. - **Conclusion**: B matches with p. 3. **Identify Improper Unit**: - An improper unit is one that does not conform to the standard system of units. An example is kilogram weight (kgwt), which is often used but is not a standard unit. - **Match**: The improper unit corresponds to **(r) kgwt**. - **Conclusion**: C matches with r. 4. **Identify Practical Unit**: - A practical unit is a unit that is used for convenience in practical applications, especially in fields like electricity and magnetism. Horsepower (hp) is an example of a practical unit. - **Match**: The practical unit corresponds to **(q) hp**. - **Conclusion**: D matches with q. 5. **Identify Supplementary Unit**: - Supplementary units are those that are dimensionless and used alongside base units to form derived units. Radians (rad) are an example of a supplementary unit used for measuring angles. - **Match**: The supplementary unit corresponds to **(s) rad**. - **Conclusion**: E matches with s. ### Final Matches: - A → t (Base unit → kg) - B → p (Derived unit → N) - C → r (Improper unit → kgwt) - D → q (Practical unit → hp) - E → s (Supplementary unit → rad) ### Summary of Matches: - A - t - B - p - C - r - D - q - E - s
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