To solve this problem we will apply the concepts related to load balancing. We will begin by defining what charges are acting inside and which charges are placed outside.
PART A) 
The charge of the conducting shell is distributed only on its external surface. The point charge induces a negative charge on the inner surface of the conducting shell:
 . This is the total charge on the inner surface of the conducting shell.
. This is the total charge on the inner surface of the conducting shell.
PART B) 
The positive charge (of the same value) on the external surface of the conducting shell is:

The driver's net load is distributed through its outer surface. When inducing the new load, the total external load will be given by,



 
        
             
        
        
        
Given that Oxygen has an oxidation state of  2 -, you can combine Mn 3+ with O 2- ions to form Mn2O3, and you can combine Mn 2+ with O 2- to form Mn2O2 which is MnO.
The other compounds imply oxidation states of N, Br and Cl that does not exist.
Therefore, the answer is the option D. MnO
        
                    
             
        
        
        
Answer:
B. has a smaller frequency 
C. travels at the same speed  
Explanation:
The wording of the question is a bit confusing, it should be short/long for wavelength and low/high for frequency. I assume low wavelength mean short wavelength.
All sound wave travel with the same velocity(343m/s) so wavelength doesn't influence its speed at all. It won't be faster or slower, it will have the same speed.
Velocity is a product of wavelength and frequency. So, a long-wavelength sound wave should have a lower frequency.
The option should be:
A. travels slower -->false
B. has a smaller frequency -->true 
C. travels at the same speed  --->true
D. has a higher frequency  --->false
E. travels faster has the same frequency  --->false
 
        
             
        
        
        
Answer:
Explanation:
Far point = 17 cm . That means he can not see beyond this distance .
He wants to see at an object at 65 cm away . That means object placed at 65 has image at 17 cm by concave lens . Using lens formula 
1 / v - 1 / u = 1 / f 
1 / - 17 - 1 / - 65 = 1 / f 
= 1 / 65 - 1 / 17 
= -  .0434 = 1 / f 
power = - 100 / f 
= - 100 x .0434 
= - 4.34 D . 
 
        
             
        
        
        
Answer:51.44 units
Explanation:
Given
x component of vector is 
y component of vector is 
so position vector is 

Magnitude of vector is


|r|=51.44 units
Direction

vector is in 2nd quadrant thus 

