Answer:
a) λ = 121.5 nm
, b) 102.6, 97, 91.1 nm
Explanation:
Bohr's model describes the energy of the hydrogen atom
= k² e² / 2m (1 / n²)
A transition occurs when the electron passes from n level to a lower one
- = k² e² / 2m (1 / 
² - 1 / 
²)
Planck's relationship is
E = h f = h c / lam
hc /λ = k² e²/ 2m(1 / ² - 1 / ²)
1 / λ = [k² e² / 2m h c] (1 / ² - 1 / ²)
1 /λ = Ry] (1 / ² - 1 / ²)
a) the first element of the series occurs for = 2
1 / λ = 1.097 10⁷ (1- 1/2²)
1 / λ = 1.097 10⁷ (1- 0.25)
1 / λ = 0.82275 10⁷
λ = 1.215 10⁻⁷ m
λ = 1,215 10⁻⁷ m (10⁹nm / m)
λ = 121.5 nm
b) the next elements of the series occur to
1 /λ λ (10-7m) λ (nm)
3 1 1,097 10⁷ (1-1 / 9) 1,0255 102.6
4 1 1,097 10⁷ (1-1 / 16) 0.9723 97.2
∞ 1 1,097 10⁷ (1 - 0) 0.91158 91.1
Because the acceleration of gravity is the acceleration of gravity.
It doesn't matter what the mass of a falling object is, and it doesn't
matter whether a falling object is solid or liquid. ALL falling objects
fall with the same acceleration, reach the same speed, and hit the
ground at the same time.
If there was no air in the way, then a feather, a school bus, and a
battleship would accelerate at the same rate, fall together and hit
the ground at the same time.
When you drop a cup full of water that has holes in it, the cup and
the water fall with the same acceleration, reach the same speed,
and hit the floor at the same time. Then, THAT's the time to go
and get the mop.
Answer:
A drop of water falling from a faucet into a sink
The volume of the cylindrical can is given by:
V = πr²h
V = volume, r = base radius, h = height
Differentiate both sides of the equation with respect to time t. The radius r doesn't change over time, so we treat it as a constant:
dV/dt = πr²(dh/dt)
Given values:
dV/dt = -527in³/min
r = 8in
Plug in and solve for dh/dt:
-527 = π(8)²(dh/dt)
dh/dt = -2.62in/min
The height of the water is decreasing at a rate of 2.62in/min
