The velocity of an electron that is emitted from a metallic surface by a photon is 3.6E3 km*s^-1. (a) What is the wavelength of the ejected electron? (b) No electrons are emitted from the surface of the metal until the frequency of the radiation reaches 2.50E16 Hz. How much energy is required to remove the electron from the metal surface? (c) What is the wavelength of the radiation that caused photoejection of the electron? (d) What kind of electromagnetic radiation was used?

Answers

Answer 1

(a) The wavelength of the electron is 202.25885 nm

(b) The minimum energy required to remove the electron is 1.6565 × 10⁻¹⁷ J

(c) The wavelength of the causing radiation is approximately 8.84 nm

(d) X-ray

The question parameters are;

The given parameters of the electron are;

The velocity of the electron, v = 3.6 × 10³ km/s

(a) de Broglie wavelength is given as follows;

λ = h/(m·v)

Where;

λ = The wavelength of the wave

h = Planck's constant = 6.626 × 10⁻³⁴ J·s

m = The mass of the electron = 9.1 × 10⁻³¹ kg

Therefore, we get;

λ = 6.626 × 10⁻³⁴/(9.1 × 10⁻³¹ × 3.6 × 10⁶) = 202.25885 × 10⁻⁶

The wavelength, λ, of the electron is 202.25885 × 10⁻⁶ m = 202.25885 nm

(b) The energy required to remove the electron from the metal surface is known as the work function, W₀, which is given by the following formula

W₀ = h·f₀

Where;

f₀ = The threshold frequency

Given that the threshold frequency, f₀ = 2.50 × 10¹⁶ Hz, we have;

W₀ = 6.626 × 10⁻³⁴ J·s × 2.50 × 10¹⁶ Hz = 1.6565 × 10⁻¹⁷ J

The energy required to remove the electron from the metal surface, W₀ = 1.6565 × 10⁻¹⁷ J

(c) The wavelength of the radiation that caused the photoejection of the electron is given as follows;

The energy of the incoming photon, E = W₀ + (1/2)·m·v²

Where;

v = The velocity of the electron, and m = The mass of the electron

Therefore;

E = 1.6565 × 10⁻¹⁷ + (1/2) × 9.1 × 10⁻³¹ kg × (3.6 × 10⁶ m/s)² = 2.24618 × 10⁻¹⁷ J

We have;

E = h·f

∴ f = (2.24618 × 10⁻¹⁷ J)/(6.626 × 10⁻³⁴ J·s) = 3.38994869 × 10¹⁶ Hz

The speed of light, c = 299,792,458 m/s

From the equation for the speed of light, we have;

λ = c/f

∴ λ = (299,792,458 m/s)/(3.38994869 × 10¹⁶ Hz) = 8.84356919 nm ≈ 8.84 nm

The wavelength of the radiation that caused photoejection of the electron, λ[tex]_{causing \ radiation}[/tex] ≈ 8.84 nm

(d) The kind of electromagnetic radiation used which has a wavelength of 8.84 nm is the X-Ray which are electromagnetic radiation having wavelengths that extend from 10 picometers to 10 nanometers.

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Related Questions

Three Balanced equations for Ammonium salt+Alkali=Salt+water+carbon dioxide

Answers

Answer:

NH₄Cl (aq) + NaOH (aq) -> NaCl (aq) + H₂O (l) + NH₃ (g)

(NH₄)₂CO₃ (aq) + 2KOH (aq) -> K₂CO₃ (aq) + 2H₂O (l) + 2NH₃(g)

NH₄NO₃ (aq) + LiOH (aq) -> LiNO₃ (aq) + H₂O (l) + NH₃ (g)

Explanation:

The gas liberated when an alkali reacts with an ammonium salt is NH₃ (ammonia), not CO₂.

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Answer:

The energy change in a chemical reaction is due to the difference in the amounts of stored chemical energy between the products and the reactants. This stored chemical energy, or heat content, of the system is known as its enthalpy.

Explanation:

Due to the absorption of energy when chemical bonds are broken, and the release of energy when chemical bonds are formed, chemical reactions almost always involve a change in energy between products and reactants. By the Law of Conservation of Energy, however, we know that the total energy of a system must remain unchanged, and that oftentimes a chemical reaction will absorb or release energy in the form of heat, light, or both.

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Answer:

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Explanation:

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Answer:

A chemical reaction that has a positive ΔH is said to be endothermic , while a chemical reaction that has a negative ΔH is said to be exothermic . What does it mean if the ΔH of a process is positive? It means that the system in which the chemical reaction is occurring is gaining energy.

Substances that contain a transition metal can be oxidizing. The greater the number of oxidation of this metal, the greater the oxidizing character of the substance. In an industrial process in which the use of an oxidizing agent is necessary, only five substances are available: CaO, FeO, Cu₂O, Cr₂O₃ and KMnO₄.


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c) CaO


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Answers

B I think that it but I don’t know

which of the following statements is true about alkali?
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B) shows a pH value less than 7
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Answer:

it should be letter c

Explanation:

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Answers

Answer; relative elements are most reactive elements and compounds may ignite spontaneously or explosively. They generally burn in water as well as the oxygen in the air

Explanation:

Answer:

Reactive elements are the  elements which are ready to gain electrons because they have  incompletely filled outermost shell.

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Answers

Answer:

Following are the solution to the given question:

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Answer:

Galileo believed that a projectile is a combination of uniform motion in the horizontal direction and uniformly accelerated motion in the vertical direction. If it is not impeded, it will continue to move even without an applied force

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Answers

Answer:

[tex]\boxed {\boxed {\sf B. \ 0.5 \ M}}[/tex]

Explanation:

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[tex]molarity= \frac{moles \ of \ solute}{ liters \ of \ solution}[/tex]

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[tex]molarity = \frac{ 2 \ mol}{ 4 \ L}[/tex]

Divide.

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1 mole per liter is equal to 1 Molar, so the solution's molarity of 0.5 mol/L is equal to 0.5 M.

[tex]molarity = 0.5 \ M[/tex]

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I think I found it. It was a cylinder

A Questic
Is the following reaction feasible at 340K? Mg + ZnO -> MgO + Zn Enthalpy Data: Mg: 0 kJ/mol ZnO: -348 kJ/mol MgO:-602
kJ/mol Zn: 0 kJ/mol Entropy Data: Mg: 33 J/K mol ZnO: 44 J/K mol MgO: 42 J/K mol Zn: 27 J/K mol
A. No, it is not feasible because the Gibbs free energy change is negative.
OB. Yes, it is feasible because the Gibbs free energy change is negative.
C. No, it is not feasible because the Gibbs free energy change is positive.
D. Yes, it is feasible because the Gibbs free energy change is positive.

Answers

Answer:

No, it is not feasible because the Gibbs free energy change is positive

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∆Hreaction= (-602 KJ/mol) - (-348 KJ/mol) = -254 KJ/mol

∆Sreaction = (42 + 27) J/Kmol - (33 + 44) J/K = -8J/Kmol

From;

∆G = ∆H - T∆S

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Answers

Answer:

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B. False

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step by step explanation

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Attachment to the Constitution.

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Normally, reacting a metal and an aqueous acid will produce a salt and hydrogen gas, as in the case of iron:

Fe(s)+2HCl(aq)⟶FeCl2(aq)+H2(g)


However, you should not use the same method to produce, for example, sodium chloride:

2Na(s)+2HCl(aq)⟶2NaCl(aq)+H2(g)

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Which of the following is the best definition of a physical property?
A. Tearing paper in half.
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Answer:

D.Something that can be observed or measured without changing the identity of the substance.

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Blood test can be used to check a person's blood glucose and hormone levels. The tabular column given below shows the result of two blood tests carried out on three people to check their blood glucose levels. Person 1 is healthy.

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B:- Compare the glucose levels of person 3 with the glucose levels of person 1, 2 hours after drinking 75g glucose.

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Pls it is urgent

Answers

Answer:

Explanation:

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