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frutty [35]
3 years ago
12

If we decrease the size of a quantum dot that contains an electron, what happens to the energy levels?

Physics
1 answer:
Law Incorporation [45]3 years ago
6 0

We will solve this problem using the direct concept related to band gap energy, that is, a band gap is the distance between the valence band of electrons and the conduction band, i. e, the energy range in a solid where no electron states (Electronic state) can exist Mathematically can be described as,

E_n = \frac{h^2n^2}{8mcR^2}

Where,

h = Planck's constant

n = Energy level

mc = Effective mass of the point charge

R = Size of the particle

As you can see the energy is inversely proportional to the size of the particle:

E_n \propto \frac{1}{R^2}

Therefore if the size is decreased, the amount of energy is increased.

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Mt. Everest is 29,028 feet high. How many miles is this?
Viefleur [7K]
Mount. everest is 5.499 miles 
6 0
3 years ago
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A spring with a spring constant of 120 J/m2 is fixed to a wall, free to oscillate. On the other end, a ball with a mass of 1500
Neporo4naja [7]

Answer:

A. 4.47 m/s

Explanation:

As the ball oscillates, it mechanical energy, aka the total kinetic and elastics energy stays the same. For the ball to be at maximum speed, its elastic energy i 0 and vice versa. When the ball is at rest, its kinetic energy is 0 and its elastic energy is at maximum at 50 cm, or 0.5 m

1500 g = 1.5 kg

E_e = E_k

kx^2/2 = mv^2/2

120*0.5^2/2 = 1.5*v^2/2

15 = 0.75v^2

v^2 = 15 / 0.75 = 20

v = \sqrt{20} = 4.47 m/s

5 0
3 years ago
When two resistors are wired in series with a 12 V battery, the current through the battery is 0.33 A. When they are wired in pa
MA_775_DIABLO [31]

Answer:

If R₂=25.78 ohm, then R₁=10.58 ohm

If R₂=10.57 then R₁=25.79 ohm

Explanation:

R₁ = Resistance of first resistor

R₂ = Resistance of second resistor

V = Voltage of battery = 12 V

I = Current = 0.33 A (series)

I = Current = 1.6 A (parallel)

In series

\text{Equivalent resistance}=R_{eq}=R_1+R_2\\\text {From Ohm's law}\\V=IR_{eq}\\\Rightarrow R_{eq}=\frac{12}{0.33}\\\Rightarrow R_1+R_2=36.36\\ Also\ R_1=36.36-R_2

In parallel

\text{Equivalent resistance}=\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}\\\Rightarrow {R_{eq}=\frac{R_1R_2}{R_1+R_2}

\text {From Ohm's law}\\V=IR_{eq}\\\Rightarrow R_{eq}=\frac{12}{1.6}\\\Rightarrow \frac{R_1R_2}{R_1+R_2}=7.5\\\Rightarrow \frac{R_1R_2}{36.36}=7.5\\\Rightarrow R_1R_2=272.72\\\Rightarrow(36.36-R_2)R_2=272.72\\\Rightarrow R_2^2-36.36R_2+272.72=0

Solving the above quadratic equation

\Rightarrow R_2=\frac{36.36\pm \sqrt{36.36^2-4\times 272.72}}{2}

\Rightarrow R_2=25.78\ or\ 10.57\\ If\ R_2=25.78\ then\ R_1=36.36-25.78=10.58\ \Omega\\ If\ R_2=10.57\ then\ R_1=36.36-10.57=25.79\Omega

∴ If R₂=25.78 ohm, then R₁=10.58 ohm

If R₂=10.57 then R₁=25.79 ohm

6 0
3 years ago
How far will a you travel if you run for 10 minutes at 2 m/sec?
ruslelena [56]
You must first convert minutes to seconds so 10*60=600

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4 0
3 years ago
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What are limitations of the calculated and indirect volume measurement?
tresset_1 [31]

Answer: The calculated volume measures the side of the cube to get the volume. An indirect measurement of volume measures the displacement of a liquid by a solid.

Explanation:

Volume is the amount of  the space occupied by an object. Volume can be used to measure the amount of the space occupied by the solid, liquid and gas.

When the direct measurement is not possible then the indirect measurement is used by taking the small part that object to calculate the whole part of that.  

The limitations of the calculated and indirect volume measurement are as follows,

The calculated volume measures the side of the cube to get the volume. An indirect measurement of volume measure the displacement of a liquid by a solid. For example, the volume of the liquid is displaced by the sponge is not equal to the volume of the sponge.

3 0
3 years ago
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