Sure! Let's address each of the questions in detail.
### Question 2: Fundamental Unit of Luminous Intensity
The fundamental unit of luminous intensity is used to measure the intensity of light. The options provided are:
(a) Ampere
(b) Mole
(c) Kilogram
(d) Candela
To determine the correct answer, we need to know the definitions of each unit.
- Ampere (A): This is the unit of electric current.
- Mole (mol): This is the unit for the amount of substance.
- Kilogram (kg): This is the unit of mass.
- Candela (cd): This is the unit of luminous intensity.
The correct answer is:
(d) Candela
### Question 3: Units Equivalent to Newton (N)
A Newton (N) is the unit of force in the International System of Units (SI). It is defined based on the fundamental units: kilogram (kg), meter (m), and second (s). Specifically, one Newton is the force required to accelerate a one-kilogram mass by one meter per second squared.
So, let's analyze each option to see which matches the unit of a Newton:
(a) [tex]\( \text{kg} \cdot \text{m} \)[/tex]: This represents kilogram-meter, which is not the correct unit for force.
(b) [tex]\( \text{kg} \cdot \text{m} \cdot \text{s}^{-1} \)[/tex]: This represents kilogram-meter per second, which is the unit of momentum, not force.
(c) [tex]\( \text{kg} \cdot \text{m} \cdot \text{s}^{-2} \)[/tex]: This is kilogram-meter per second squared, which is the correct unit for force.
(d) [tex]\( \text{kg} \cdot \text{m}^2 \cdot \text{s}^2 \)[/tex]: This represents kilogram-meter squared per second squared, which corresponds to work or energy, not force.
The correct answer is:
(c) [tex]\( \text{kg} \cdot \text{m} \cdot \text{s}^{-2} \)[/tex]
