(a) 25lx
(b) 11.11lx
<u>Explanation:</u>
Illuminance is inversely proportional to the square of the distance.
So, 

where, k is a constant
So, 
(a)
If I = 100lx and r₂ = 2r Then,

Dividing both the equation we get

When the distance is doubled then the illumination reduces by one- fourth and becomes 25lx
(b)
If I = 100lx and r₂ = 3r Then,

Dividing equation 1 and 3 we get

When the distance is tripled then the illumination reduces by one- ninth and becomes 11.11lx
 
        
             
        
        
        
Answer:
<em>The energy source that powers my home is gotten from burning of fossil fuels.</em>
<em>No! I do not like this energy source.</em>
<em>I personally would prefer solar source of electricity</em>
<em></em>
Explanation:
<em>Fossil fuels are fuels gotten from the decomposition of dead organisms over time, under intense heat and pressure</em>. They are usually found buried beneath the earth's crust where they have been formed and trapped. 
Most electricity generating stations generate electricity by burning fossil fuels like natural gas and gasoline to generate electricity. <em>The problem with fossil fuels are the various part that they play in increasing carbon footprints in the atmosphere. The excess carbon in the atmosphere has been a major contributor to the global warming of planet Earth.  </em>
My preference for solar energy source is first due to its abundance unlike the fossil fuels that are already diminishing in storage beneath the earth's crust. Also, <em>solar energy is a clean source of energy that does not leave any damage on earth from its use</em>. It also promises to be a cheap source of power in the future with advances in solar technologies.
 
        
             
        
        
        
C. thalamus
All sensory information coming into the brain from the body must first pass thru the thalamus
        
                    
             
        
        
        
Answer:
B can take 0.64 sec for the longest nap .
Explanation:
Given that,
Total distance = 350 m
Acceleration of A = 1.6 m/s²
Distance = 30 m
Acceleration of B = 2.0 m/s²
We need to calculate the time for A
Using equation of motion

Put the value in the equation



We need to calculate the time for B
Using equation of motion
 
 
Put the value in the equation



We need to calculate the time for longest nap
Using formula for difference of time



Hence, B can take 0.64 sec for the longest nap .