If the electron is positioned in the region of width 10-1² m then calculate the time constant of the wave packet. (a) 1.1×10-19 s (b) 1.7×10-2º s (c) 8.5×10" s (d) 3.4×10-20 s

Q: If the electron is positioned in the region of width 10-12 m then calculate the time constant of the…

A: Given values: Width of the region, ∆x=10-12 m Plank's constant, h=6.626×10-34 J·s Mass of electron,…

Q: What minimum frequency of light is needed to ejectelectrons from a metal whose work function is 4.8…

A: work function, W = 4.8 x10-19 J

Q: As an electron in a one-dimensional box of length 0.600 nm jumps between two energy levels, a photon…

A: Given: The length of box is 0.600 nm. The energy of 8.36 eV.

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Q: A biological virus of size d is 10 nm – 300 nm, mass m is 10 ^ -15 kg and average speed v = 1 mm/s.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the electron is positioned in the region of width 10-12 m then calculate the time constant of the…

A: Given: The width of the region is 1x10-12 m.

Q: A paramecium is covered with motile hairs called cilia that propel it at a speed of 1 mm/s. If the…

A: ρ=Density of water=Density of paramecium=1000 kg/m3V=Volume=2×10−13 m3v=Velocity=1 mm/sL=Length of…

Q: An electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a…

A: wavelength of light = 2 pm = 2 x 10-12 m  slit width, d = 1 nm = 1 x 10-9 m

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Q: Through what potential difference must an electron be accelerated from rest to have a de Broglie…

A: given that, de-Broglie wavelength is 500 nm, then velocity of electron λ=hmvv=hmλ=6.626×10-34…

Q: Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its…

A: The De-Broglie wavelength of a photon is,

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A: Electrons are subatomic particles that revolve around the nucleus in an atom. Electrons are…

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Q: Suppose that an STM scans a surface at a distance of a = 1.500 nm.   Take the height of the…

A: As we know that the potential energy is inversely proportional to the distance by the following…

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A: If we want to calculate maximum kinetic energy of the recoil electron in Compton scattering, we…

Q: 16 For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling…

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Q: If Ψ is the wave function, the probability density function is given by _____________ a) |Ψ| b)…

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Q: When a beam of electrons is directed at a suitably narrow pair of slits, a)one bright region with…

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Q: In a scanning tunneling microscope the tunneling current is found to decrease by a factor of 0.00013…

A: Given :     The tunneling current is decreased by a factor of 0.00013 when the distance between the…

Q: Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00 µm. The…

A: Wavelength of the electrons in the wave. given, slit widtha=2.0 μm=2.0×10-6 mDistanceL to the…

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Q: Calculate the transmission probability for quantum-mechanical tunneling in each of the following…

A: The expression for the transmission probability,   The expression for the constant value,

Q: What double-slit separation would produce a first-order maximum at 3.00º for 25.0-keV x rays? The…

A: Given: Angle=3 degree Energy(E)= 25 keV=25×103 eV hc=1.24×10-6 eV.m Find slit separation (d) Now,…

Q: Q 3: Two people measure a wave of a particle passing from a point in front of them and their…

A: The two wave equations are given as :  (1) Superimposing these two waves to get the final wave :

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A: De Broglie wavelength of a particle can be smaller or can be larger than the linear dimension of the…

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Q: Given the following single-channel recording, calculate the open probability (Po). The length of the…

A: Given the open times, t1=0.17ms; t2=1.45ms; t3=0.31ms;t4=0.13ms; t5=1.49ms; t6=0.20ms;t7=3.65ms;…

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A: Write the equation of Bragg’s law. Draw the schematic diagram of the system.

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A: A wave function is a variable quantity that mathematically describes the wave characteristics of a…

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A: Given that Width of the single slit a = 17.5 micro meter Speed of electrons v = 7.35 km/s Distance…

Q: 4. (a) Show that the phase velocity of the de Broglie waves of a particle of mass m and de Broglie…

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A: The ground state energy of a finite square well is given by E1=0.625E1-1DW Here, E1-1DW=h28mL2 Here,…

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Q: Estimate the lifetime of a state that gives rise to a line of width (a) 0.10 cm-1, (b) 1.0 cm-1, (c)…

A: The expression for the lifetime of a state is given as follows: t=h2πdE................(1) Here, h…

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Q: According to the simple de Broglie model, how many wavelengths are there in an electron wave in the…

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A: The expression for the kinetic energy of an electron moving with a velocity will be,

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.