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Which of the following sets of S.I. units is fundamental only?

A. mol, m²
B. cd, mol, K
C. N, cd, ms
D. N, m, ms
E. s, J, K

Sagot :

GinnyAnswer
To determine which set of SI units contains only fundamental units, we need to understand what constitutes fundamental units in the International System of Units (SI). Fundamental units are the basic units from which all other units are derived. The fundamental SI units are:

1. Meter (m) - Unit of length
2. Kilogram (kg) - Unit of mass
3. Second (s) - Unit of time
4. Ampere (A) - Unit of electric current
5. Kelvin (K) - Unit of thermodynamic temperature
6. Mole (mol) - Unit of substance amount
7. Candela (cd) - Unit of luminous intensity

Now, let's analyze each set of units given in the question to identify which set consists solely of these fundamental units:

Option A:
- A (Ampere) - Fundamental unit
- mol (Mole) - Fundamental unit
- m² (Square meter) - Derived unit (derived from the fundamental unit of length, meter)

Option B:
- cd (Candela) - Fundamental unit
- mol (Mole) - Fundamental unit
- K (Kelvin) - Fundamental unit

Option C:
- N (Newton) - Derived unit (derived from kg·m/s²)
- cd (Candela) - Fundamental unit
- ms (Millisecond) - Derived unit (derived from the fundamental unit of time, second)

Option D:
- N (Newton) - Derived unit (derived from kg·m/s²)
- m (Meter) - Fundamental unit
- ms (Millisecond) - Derived unit (derived from the fundamental unit of time, second)

Option E:
- s (Second) - Fundamental unit
- J (Joule) - Derived unit (derived from kg·m²/s²)
- K (Kelvin) - Fundamental unit

Analyzing these options, we see that Option B (cd, mol, K) consists solely of fundamental SI units. Therefore, the correct answer is:

B. cd, mol, K
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