Answer:
The maximum electric power output is 
Explanation:
From the question we are told that
The capacity of the hydroelectric plant is 
The level at which water is been released is 
The efficiency is 
0.90
The electric power output is mathematically represented as
Where 
is the potential energy at level h which is mathematically evaluated as
and 
is the potential energy at ground level which is mathematically evaluated as
So
here 
where V is volume and 
is density of water whose value is 
So
substituting values
The maximum possible electric power output is
substituting values
Answer:
Explanation:
Take at look to the picture I attached you, using Kirchhoff's current law we get:
This is a separable first order differential equation, let's solve it step by step:
Express the equation this way:
integrate both sides, the left side will be integrated from an initial voltage v to a final voltage V, and the right side from an initial time 0 to a final time t:
Evaluating the integrals:
natural logarithm to both sides in order to isolate V:
Where the term RC is called time constant and is given by:
Answer:
The wavelength is 
Explanation:
From the question we are told that
The wavelength of the first light is 
The order of the first light that is being considered is 
The order of the second light that is being considered is 
Generally the distance between the fringes for the first light is mathematically represented as
Here D is the distance from the screen
and d is the distance of separation of the slit.
For the second light the distance between the fringes is mathematically represented as
Now given that both of the light are passed through the same double slit
=> 
=> 
=> 
=>
Answer:
3. 5.0N/kg
Explanation:
Gravitational field strength = gravitational force/mass of astronaut = 350N/70kg = 5.0N/kg
