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:
a = 8.951 m/s²
Explanation:
given,
angle = 0.52 radians
μ_s = 0.84
μ_k = 0.48
acceleration = ?
using
F + f = m a
mg sin θ + μk mg cos θ = m a
a = g sin θ + μk g cos θ
a = 9.8 x sin 0.52 + 0.48 x 9.8 x cos 0.52
a = 4.869 + 4.082
a = 8.951 m/s²
the magnitude of acceleration is a = 8.951 m/s²
Answer:
Rise in level of fluid is 0.11 m
Rise in level of fluid in case of mercury is 0.728 cm or 7.28 mm
Solution:
As per the question:
Density of oil, 
Change in Pressure in the tank, 
Density of the mercury, 
Now,
To calculate the rise in the level of fluid inside the manometer:
We know that:
1 mmHg = 133.332 Pa
Thus

Also,

where
g = acceleration due to gravity
h = height of the fluid level

h = 0.11 m
Now, if mercury is used:


h = 0.00728 m = 7.28 mm
Answer:
1.94601 rad/s
Explanation:
= Moment of inertia of carousel = 124 kgm²
= Angular speed of carousel = 3.5 rad/s
= Angular speed of person
r = Radius of carousel = 1.53 m
m = Mass of person = 42.3 kg
Moment of inertia of person

As the angular momentum is conserved in the system

The angular speed of the carousel after the person climbs aboard is 1.94601 rad/s