The electron in a ground-state H atom absorbs a photon of wavelength 97. 25 nm. Energy level till where the electron move is 4
Rydberg's equation is formula which signifies relation of wavelength of incident photon and the energy level.
Rydberg's equation is used to find out the relation between the wavelength and the Energy Levels:
1/λ = RZ² (1/n₁² - 1/n₂²)
where, λ is wavelength = 97.25 nm
R is the Rydberg constant = 1.0967 × 10⁷ m
n₁ is the initial energy level i.e. the Ground state, n₁ = 1
n₂ is the higher energy level
On substitution of the above value:
1/97.25 × 10⁻⁹ = 1.0967 × 10⁷ ( 1 - 1/n₂²)
On solving,
⇒ n₂ = 4
Hence, the higher energy level is 4
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Answer:
The lid becomes tighter
It becomes tighter because metals have a lower heat capacity than glass meaning their temperature drops (or increases) much faster than glass for the same energy change. So in this example, the metal will contract faster than the glass causing it to be more tighter around the glass.
The amount of power required to move the 120 Kg person to a distance of 35 m in 150 s is 274.4 W
<h3>How to determin the power</h3>
Power is simply defined as the rate at which work is done. It can be expressed mathematically as
Power (P) = work (W) / time (t)
But
Work = force (F) × distance (d)
Therefore,
P = Fd / t
With the above formula, we can obtain the power as follow:
- Mass (m) = 120 Kg
- Distance (d) = 35 m
- Time (t) = 150 s
- Acceleration due to gravity (g) = 9.8 m/s²
- Force (F) = mg = 120 × 9.8 = 1176 N
- Power (P) = ?
P = Fd / t
P = (1176 × 35) / 150
P = 41160 / 150
P = 274.4 W
Thus, the power is 274.4 W
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Answer: 0.61 s
Explanation:
Given
Mass of object, m = 0.015 kg
Radius of object, r = 0.055 m
Acceleration of object, g = 9.8 m/s²
In a pendulum,
T = 2π * √[I /(mgd)]
The moment of Inertia, I of a hollow sphere is given by
I(sphere) = 2/3MR² + MR²
I(sphere) = 5/3MR²
Also, d = R
Substituting these into the first equation, we have
T = 2π * √[(5/3MR²) / (mgr)]
T = 2π * √[(5/3r) / (g)]
T = 2 * 3.142 * √(5/3 * 0.055) / (9.8)]
T = 6.284 * √(0.092/9.8)
T = 6.284 * √0.00939
T = 6.284 * 0.097
T = 0.6095 s
To 2 significant figures,
The period is 0.61 s
