Answer:
The intensity of light passing from the third polarizer is 3Io/16. 
Explanation:
The law of Malus is given by 

Let the incident intensity of light is Io. 
The intensity of light passing from the first polarizer is 

The intensity of light passing from the second polarizer is 

The intensity of light passing from the third polarizer is 

 
        
             
        
        
        
Answer:
Will be doubled.
Explanation:
For a capacitor of parallel plates of area A, separated by a distance d, such that the charges in the plates are Q and -Q, the capacitance is written as:

where e₀ is a constant, the electric permittivity.
Now we can isolate V, the potential difference between the plates as:

Now, notice that the separation between the plates is in the numerator.
Thus, if we double the distance we will get a new potential difference V', such that:

So, if we double the distance between the plates, the potential difference will also be doubled.
 
        
             
        
        
        
Answer:
a2 = 2.5 m/s2
Explanation:
F1 = m1 a1 We use the same force so F1 = F2
 = 5kg × 15m/s2 F2 = m2 a2
 = 75N a2 is required 
 a2 = F2 / m2
 = 75N / 30 kg
 = 2.5 m/s2
 
        
             
        
        
        
<span>Shading.
When light hits an opaque surface some is absorbed, the rest is reflected, The reflected light is called shading. Reflection is not simple and varies with material.
The surface’s structure defines the details of reflection. Variations produce anything from bright specular reflection</span>
        
                    
             
        
        
        
Answer:
Explanation:
To find out the angular velocity of merry-go-round after person jumps on it , we shall apply law of conservation of ANGULAR momentum 
I₁ ω₁ + I₂ ω₂ = ( I₁  + I₂ ) ω
I₁ is moment of inertia of disk , I₂ moment of inertia of running person , I is the moment of inertia of disk -man system , ω₁ and ω₂ are angular velocity of disc and man .
I₁ = 1/2 mr²
= .5 x 175 x 2.13² 
= 396.97 kgm²
I₂ = m r²
= 55.4 x 2.13²
= 251.34 mgm²
ω₁ = .651 rev /s 
= .651 x 2π rad /s 
ω₂ = tangential velocity of man / radius of disc
= 3.51 / 2.13
= 1.65 rad/s 
I₁ ω₁ + I₂ ω₂ = ( I₁  + I₂ ) ω
396.97 x  .651 x 2π + 251.34 x 1.65 = ( 396.97 + 251.34 ) ω
 ω = 3.14 rad /s 
kinetic energy = 1/2 I ω²
= 3196 J