EXAMPLE 1.7 Using the uncertainty principle Estimate the minimum uncertainty in (a) the position of a marble of mass 1.0 g given that its speed is known to within 1.0 mm's-1 and (b) the speed of an electron confined to within the diameter of a typical atom (200. pm).

Q: The chemist, Schrödinger, has the following major contribution. (A) An electric current produces new…

A:

Q: What is the probability of find ing the electron in a volume of 6.5 pm3 centred on the nucleus in…

A: a) The probability of finding the electron in 6.5 pm3 of hydrogen atom is determined as,

Q: No object can travel faster than the speed of light, so itwould appear evident that the uncertainty…

A: Heisenberg's uncertainty principle :  multiplication of uncertainty in momentum and the uncertainty…

Q: Calculate the energy in joules of a photon of green light having a wavelength of 562 nm. Report your…

A:

Q: Give the mathematical expression of uncertainty principle.

A: The uncertainty principle is also named as the Indeterminacy principle. This principle is generated…

Q: Which of the following statements is a valid conclusion from the Heisenberg uncertainty principle?…

A: A question based on structure of atoms that is to be accomplished.

Q: The first 25 years of the twentieth century were momentousfor the rapid pace of change in…

A: Rutherford’s α particle scattering experiment suggest that most of the mass of atom is concentrated…

Q: In the mid-17thcentury, Isaac Newton proposed that light ex-isted as a stream of particles, and the…

A: Diffraction: Diffraction is the process of bending of light around the edges of an obstacle.…

Q: Use the Clebsch-Gordan series to deduce the possiblevalues for the total orbital angular momentum of…

A: When two electrons with angular momentum number 1 and 2 interact the resultant angular momentum is,…

Q: A popular kitchen appliance produces electromagnetic radiationwith a frequency of 2450 MHz. With…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Calculate the de Broglie wavelength of the following. (a) An electron moving at a speed of 925 m s.…

A: Calculate de - Broglie wavelength in each case -

Q: 12. Use the Bohr theory to calculate the following values for the one-electron helium (He*) for…

A: (a) The radius of the nth orbit of an atom is calculated by, Here, Z=2.

Q: pobiten th 6. An electron with a mass of 5.486 x 104 amu has an uncertainty in position of 0.28 nm.…

A: Mass of electron=5.486×10^-4amu Uncertainty in position=0.28nm Electron's minimum Uncertainty in…

Q: Suppose that the uncertainty in determining the position of an electron circling an atom in an orbit…

A: Heisenberg uncertainty principle states that at any given time there will be some uncertainty…

Q: 1.17 nm 2. For the electromagnetic wave described in Exercise 1 what are (a) the frequency, in…

A: For the given electromagnetic wave, the a) frequency in hertz and b) the energy, in joules per…

Q: The series of emission lines of the hydrogen atom for whichnf = 3 is called the Paschen series. (a)…

A: a) Paschen series fall in infrared region  i.e frequency > 820 nm

Q: Which of the following statements are true? (i) The energies of the atomic orbitals in a…

A: The energy of a subshell in a many-electron atom depends on the principal (n) and azimuthal (l)…

Q: An electron has an uncertainty in its position of 479 pm. What is the uncertainty in its velocity?

A: According to Heisenberg uncertainty principle, it is impossible to measure simultaneously the…

Q: 1. Consider the state referred to in the notes as the px orbital, 1 v (0, ¢) = (Y1,-1(0, 6) + Y1,1…

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Q: (1) Calculate the wavelength of an electron traveling with a speed of 2.63 x 106 m/s.

A: Given, Speed of electron = 2.63*106 m/s Wavelength = ?

Q: The following quantum number combinations are not al-lowed. Assuming the nand mlvalues are correct,…

A: As, principle quantum number, n is correct and ml is correct.

Q: Which of the following spectroscopic notations are not allowed? (a) 5s1 (b) 1d1 (c) 4s3 (d) 3p7 (e)…

A: Important spectroscopic notations are: 1) Principal Quantum No (n) The value of n =1,2,3..... 2)…

Q: 3. Consider the ion Bt (treat it as a hydrogen-like, one-electron atom within the Bohr model having…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: The speed of a thermal neutron  is known to within 2.0 km/s. What is the minimum  uncertainty in the…

A: Given:  We know that,

Q: Calculate the de Broglie wavelength of the following. (a) An electron moving at a speed of 1.08×106…

A: The de Broglie wavelength can be calculated by using,

Q: (a) The position of an electron is known to within 7.18 À (7.18×10-10 m). What is the minimum…

A:

Q: If human height were quantized in 1-foot increments, whatwould happen to the height of a child as…

A:

Q: An electron in a hydrogen atom is known to have a velocity of 5 × 106  m/s ± 1 percent. Using the…

A: Given: An electron in a hydrogen atom have a velocity of 5 × 106  m/s ± 1 percent.

Q: Give the value of the quantum number  if one exists, for a hydrogen atom whose orbital angular…

A: Answer- The orbital angular momentum can be visualized in terms of a vector model. The angular…

Q: (b) What is the maximum number of electrons in an atom that can have the following set of quantum…

A: We have to find the probability of the electrons found according to the provided data.  n is the…

Q: For a hydrogen atom, calculate the wavelength of light (in m) that would be emitted for the orbital…

A: Applying concept of hydrogen spectra. 1/lemda= z2RH(1/n12 - 1/n22)

Q: Cobalt (Z = 27) has seven electrons in an incomplete d subshell. (a) What are the values of n and l…

A: a) Cobalt has seven electrons in an incomplete d subshell. So, the electronic configuration is given…

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.