Answer:
Explanation:
The heaviside function is defined as:
so we see that the Heaviside function "switches on" when, and remains switched on when
If we want our heaviside function to switch on when , we need the argument to the heaviside function to be 0 when
Thus we define a function f:
The term inside the heaviside function makes sure to displace the function 5 units to the right.
Now we just need to add a scale up factor of 240 V, because thats the voltage applied after the heaviside function switches on. ( when , so it becomes just a 1, which we can safely ignore.)
Therefore our final result is:
I have made a sketch for you, and added it as attachment.
Answer:
6.88 m/s
Explanation:
The Conservation of Energy states that:
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy
So we can write
We can cancel the common factor of which leaves us with
Lets solve for
Subtract from both sides of the equation.
Multiply both sides of the equation by 2.
Simplify the left side.
Apply the distributive property.
Cancel the common factor of 2.
Take the square root of both sides of the equation to eliminate the exponent on the right side.
We are given .
We can now solve for the final velocity.
Anything multiplied by 0 is 0.
The energy levels of the hydrogen atom are given by
where n is the level number. Let's use this formula to calculate the energy of the levels n=1 (ground state), n=5 and n=6:
- ground state:
- level n=5:
- level n=6:
Now that we have the energy for all the levels we are interested in, we can calculate the energy of the emitted photons.
a) In the first transition, the atom goes from n=6 to n=5. The energy of the emitted photon is equal to the energy difference between these two levels:
The energy of a photon is also equal to
where
h is the Planck constant
c is the speed of light
f is the photon frequency
is its wavelength
Re-arranging this relationship and using the photon's energy, we find its wavelength:
b) in the second transition, from n=5 to n=1, the energy of the emitted photon is equal to the difference in energy between the two levels:
Similarly to part a), the wavelength of the photon is given by:
Answer:
mean=5
median=3
range=8
Explanation:
mean- add em up and divide by the number of numbers
so 2+2+3+8+10=4+11+10+15+10=25
There are 5 numbers so 25/5=5 is the mean
median- middle (or average of middles if two middles) after data arranged from least to greatest
It already is and there is one middle so the median is 3
range=greatest minus smallest
So the range is 10-2=8.
as the surface area increases the rate of reaction also increases.
Explanation: