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![Prove the following identities.
(a) [t, p²] = 2ihp
(b) [p, ²] = -2ihâ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5bf4ba0-b032-4556-ac45-0f5d16670fd8%2F480ad50b-d12f-4439-b246-b466cbf003e0%2Fhzjdp9s_processed.jpeg&w=3840&q=75)
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- (a) What is the electrostatic potential energy (in joules) betweenan electron and a proton that are separated by 53 pm?3. (a) Estimate the fractional change in the volume of Earth's oceans due to an average temperature change of 1°C. (b) Use the fact that the average depth of the ocean is 4.00x10^3 m to estimate the change in depth. Note that βwater=2.07x10^-4 (°C) ^-1.(4) Electrons are no longer ejected from a sample of metal whenever it is illuminated by light with wavelength greater than 344nm. (a) Based on the table below, what is the most likely metal being illuminated? (b) If the sample is illuminated by light with wavelength 48.3nm, what is the stopping potential? (c) In the event this sample of metal were replaced by a metal with a smaller work function, but still illuminated with light with 48.3nm, would the kinetic energy of the ejected electrons increase or decrease? (d) What is the threshold frequency for cesium? Atom W (eV) Cesium 2.1 Calcium 2.9 Uranium 3.6 Cadmium 4.07 Lead 4.14 Niobium 4.3 Iron 4.5 Copper Cobalt 4.7 5 Gold 5.11 Platinum 6.35
- 11ab please answer them allWould you help me whit this example (6) Thank you.Proton 1 moves with a speed v from theeast coast to the west coast in the continental United States; proton 2 moves with the same speed from the southern United Statestoward Canada. (a) Is the magnitude of the magnetic force experienced by proton 2 greater than, less than, or equal to the forceexperienced by proton 1? (b) Choose the best explanation fromamong the following:I. The protons experience the same force because the magneticfield is the same and their speeds are the same.II. Proton 1 experiences the greater force because it moves atright angles to the magnetic field.III. Proton 2 experiences the greater force because it moves in thesame direction as the magnetic field.
- Deter mine the rote low ex pression for the following reetion and give units for K. 3Hz t Al, (so4dz8C.4 (a) the moment of inertia of a CH4 molecule is 5.27 x 10^-47 kg m^2. What is the minimum energy needed to start it rotating? 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Briefly explain why. Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
- Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What’s the smallest frequency of light that can excite the electron? Briefly explain why.Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”