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
Answer:
The rate of increase of the energy content of the room when all the eletrical devices are on is 1650 W.
Explanation:
From conservation of energy,
Rate of energy transfer () = Rate of change of energy within the room ().
As according to the problem no heat transfer occurs through the walls of the room we can assume that there is no energy transferred to the outside of the room, i.e., .
If all the electric devices are on inside the room, then the rate of increase of energy is equal to the power () consumed bt the electrical devices inside the room. Therefore we can write,
Yes the magnetic field is created by a current loop uniform because there is a magnetic field.
Answer:
On the earth surface ,W= 4200 J
On the moon surface ,W= 672 J
Explanation:
Given that
mass of the man ,m = 70 kg
Height of the stairway ,h= 6 m
On the earth surface :
We know that acceleration due to gravity at earth ,g= 10 m/s²
The work done by man is given as
W= m g h
Now by putting the values in the above equation we get
W= 70 x 10 x 6 J
W=4200 J
On the moon surface :
The gravity on the moon ,g= 1.6 m/s²
The work done W
W= 70 x 1.6 x 6 J
W=672 J
On the earth surface ,W= 4200 J
On the moon surface ,W= 672 J