As stated in the statement, we will apply energy conservation to solve this problem.
From this concept we know that the kinetic energy gained is equivalent to the potential energy lost and vice versa. Mathematically said equilibrium can be expressed as


Where,
m = mass
= initial and final velocity
g = Gravity
h = height
As the mass is tHe same and the final height is zero we have that the expression is now:






Answer:

Explanation:
The Rydberg formula can be extended for use with any hydrogen-like chemical elements, that is to say with only one electron being affected by effective nuclear charge. So, in this case, we can calculate the wavelenghts of the emitted photons using this formula:

Where R is the Rydberg constant of the element, Z its atomic number,
is the lower energy level and
the upper energy level of the electron transition. Recall that the ground state is denoted as n=1.

Answer:
Magnetic force, 
Explanation:
It is given that,
Velocity of proton, 
Angle between velocity and the magnetic field, θ = 53°
Magnetic field, B = 0.49 T
The mass of proton, 
The charge on proton, 
The magnitude of magnetic force is given by :



So, the magnitude of the magnetic force on the proton is
. Hence, this is the required solution.
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.
First shell hold up to 2 electrons.