Question 1

A neutron has a mass of 1.67 *10-27 kg.The de Broglie wavelength is 1.4 * 10-10 m.How fast is the neutron going? (in m/s)

Accepted Answer

B

Question 2

A solid state pulsed laser has an energy of 400 mJ per pulse.If its wavelength is 1.06 * 10-6 m, how many photons are in each pulse?

Accepted Answer

The number of photons in each pulse can be calculated using the formula:

Number of photons = Energy per pulse / Energy per photon

The energy per photon can be calculated using the formula:

Energy per photon = hc/λ

Where h is Planck's constant, c is the speed of light, and λ is the wavelength of the laser.

Substituting the given values, we get:

Energy per photon = (6.626 x 10^-34 J s) x (2.998 x 10^8 m/s) / (1.06 x 10^-6 m)

Energy per photon = 1.986 x 10^-19 J

Substituting this value in the first formula, we get:

Number of photons = (400 x 10^-3 J) / (1.986 x 10^-19 J)

Number of photons = 2.011 x 10^18

Therefore, the answer is E, with 2 x 10^18 photons in each pulse.

Question 3

What is the maximum kinetic energy (in eV) of a photoelectron when a surface, whose work function is 5.0 eV, is illuminated by photons whose wavelength is 400 nm?

Accepted Answer

D

Question 4

The light intensity incident on a metallic surface with a work function of 3 eV produces photoelectrons with a maximum kinetic energy of 2 eV.The frequency of the light is doubled.Determine the maximum kinetic energy (in eV).

Accepted Answer

The answer of The light intensity incident on a metallic...

Question 5

A helium-neon laser emits red light having a wavelength of 6.4 *10-7 m and a power of 0.5 mW.How many photons are emitted each second?

Accepted Answer

The answer of A helium-neon laser emits red light having...

Question 6

A stopping potential of 3.2 V is needed for radiation whose wavelength is 200 nm.What is the work function (in eV) of the material?

Accepted Answer

The answer of A stopping potential of 3.2 V is...

Question 7

What wavelength (in$\mu$m) is associated with the Paschen series for n = 4? (RH = 1.097 * 107 m-1)

Accepted Answer

The Paschen series corresponds to transitions where the final energy level is n=3. For n=4 to n=3 transition, using the Rydberg formula, the wavelength is approximately 1.9 µm.

Question 8

How much energy is in an 89.7 MHz photon of FM-radiation?

Accepted Answer

The energy of a photon is given by E=hf, where h is Planck's constant and f is the frequency of the photon. Substituting the given frequency of 89.7 MHz (or 89.7 million Hz) gives E=(6.626 x 10^-34 J s)(89.7 x 10^6 Hz) = 5.9 x 10^-26 J. Therefore, the answer is D.

Question 9

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90$\degree$ angle.What is the wavelength of the scattered wave?

Accepted Answer

The answer of A photon whose energy is 8.00 *10-15...

Question 10

The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 2 eV.The light intensity is doubled.Determine the maximum kinetic energy of the photoelectrons (in eV).

Accepted Answer

The maximum kinetic energy of photoelectrons is proportional to the frequency of incident light, not its intensity. Therefore, the maximum kinetic energy of photoelectrons will remain the same and be 2 eV even if the light intensity is doubled.

Question 11

How much energy is in a 63 kHz photon of AM-radiation?

Accepted Answer

The energy of a photon is given by E = hf, where h is Planck's constant and f is the frequency of radiation. Substituting the given frequency of 63 kHz (or 6.3 x 10^4 Hz) and Planck's constant (6.626 x 10^-34 J s) into the equation, we get E = (6.626 x 10^-34 J s)(6.3 x 10^4 Hz) = 4.18 x 10^-29 J, which is closest to choice C of 4.2 x 10^-29 J.

Question 12

The threshold wavelength for photoelectric emission of a particular substance is 500 nm.What is the work function (in eV)?

Accepted Answer

The work function (Φ) is calculated using the formula Φ = hc/λ, where h is Planck's constant (4.135667696 × 10^-15 eV·s), c is the speed of light (3 × 10^8 m/s), and λ is the threshold wavelength (500 nm = 500 × 10^-9 m). Substituting these values gives Φ ≈ 2.48 eV, which rounds to 2.5 eV.

Question 13

Your temperature is 98.6 $\degree$F.Assuming your skin is a perfect radiator ($\varepsilon$= 1), determine the wavelength corresponding to the largest intensity (in $\mu$m).

Accepted Answer

The answer of Your temperature is 98.6 $\degree$F.Assuming your skin...

Question 14

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 * 107 m-1)

Accepted Answer

The answer of What value of wavelength is associated with...

Question 15

A photon collides with an electron.After the collision the wavelength of the scattered wave at a scattering angle greater than is:

Accepted Answer

The answer of A photon collides with an electron.After the...

Question 16

A photon whose wavelength is = 5.0 * 10-11 m is scattered straight backward.What is the wavelength of the scattered wave?

Accepted Answer

The Compton effect describes the increase in wavelength (and decrease in energy) of a photon when it is scattered. The change in wavelength is given by the Compton wavelength shift formula: Δλ = h/mc (1 - cos θ), where θ is the scattering angle. For backward scattering (θ = 180°), Δλ is maximized, resulting in an increase in wavelength.

Question 17

Assume electrons are accelerated through a potential difference of 25 000 V inside a TV picture tube.What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10-10 m)

Accepted Answer

The minimum wavelength is given by the de Broglie wavelength, which is h/p, where h is Planck's constant and p is the momentum of the electron. The momentum of the electron is given by sqrt(2meV), where m is the mass of the electron, e is the charge of the electron, and V is the potential difference. Substituting these values into the de Broglie wavelength equation, we get:lambda = h/sqrt(2meV) = (6.626 x 10^-34 J s)/sqrt(2 * 9.109 x 10^-31 kg * 1.602 x 10^-19 C * 25000 V) = 5.0 x 10^-11 m = 0.50 Å

Question 18

What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

Accepted Answer

We can use the formula:

$E_{max} = \frac{hc}{\lambda} - \phi$

where $E_{max}$ is the maximum kinetic energy of the photoelectron, $h$ is Planck's constant, $c$ is the speed of light, $\lambda$ is the wavelength of the light, and $\phi$ is the work function of the surface.

Converting the given wavelength of 200 nm to meters:

$\lambda = 200	ext{ nm} = 200	imes 10^{-9}	ext{ m}$

Substituting the given values:

$E_{max} = \frac{hc}{\lambda} - \phi = \frac{(6.626	imes 10^{-34}	ext{ J s})(3	imes 10^8	ext{ m/s})}{200	imes 10^{-9}	ext{ m}} - 5.0	ext{ eV}$

Converting the units of electron volts (eV) to joules (J):

$1	ext{ eV} = 1.602	imes 10^{-19}	ext{ J}$

$5.0	ext{ eV} = 5.0	imes 1.602	imes 10^{-19}	ext{ J} = 8.01	imes 10^{-19}	ext{ J}$

Simplifying the equation:

$E_{max} = 6.63	imes 10^{-20}	ext{ J} - 8.01	imes 10^{-19}	ext{ J} = -7.34	imes 10^{-19}	ext{ J}$

Note that the maximum kinetic energy cannot be negative, so we take the absolute value and convert it to kilometers per second (km/s):

$|E_{max}| = 7.34	imes 10^{-19}	ext{ J} = 4.59	ext{ eV}$

$4.59	ext{ eV} = 4.59	imes 1.602	imes 10^{-19}	ext{ J} = 7.36	imes 10^{-19}	ext{ J}$

$v_{max} = \sqrt{\frac{2|E_{max}|}{m}}$

where $m$ is the mass of the electron.

Substituting the given values:

$v_{max} = \sqrt{\frac{2(7.36	imes 10^{-19}	ext{ J})}{9.11	imes 10^{-31}	ext{ kg}}} = 650	ext{ km/s}$

Therefore, the maximum velocity of the photoelectron is 650 km/s, which corresponds to choice (B).

Question 19

What is the maximum kinetic energy (in eV) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

Accepted Answer

The answer of What is the maximum kinetic energy (in...

Question 20

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 * 107 m-1)

Accepted Answer

The answer of Light is emitted by hydrogen atoms in...

Quiz 17: Quantisation and Wave-Particle Duality

A neutron has a mass of 1.67 10-27 kg.The de Broglie wavelength is 1.4 10-10 m.How fast is the neutron going? (in m/s)

A solid state pulsed laser has an energy of 400 mJ per pulse.If its wavelength is 1.06 * 10-6 m, how many photons are in each pulse?

What is the maximum kinetic energy (in eV) of a photoelectron when a surface, whose work function is 5.0 eV, is illuminated by photons whose wavelength is 400 nm?

The light intensity incident on a metallic surface with a work function of 3 eV produces photoelectrons with a maximum kinetic energy of 2 eV.The frequency of the light is doubled.Determine the maximum kinetic energy (in eV) .

A helium-neon laser emits red light having a wavelength of 6.4 *10-7 m and a power of 0.5 mW.How many photons are emitted each second?

A stopping potential of 3.2 V is needed for radiation whose wavelength is 200 nm.What is the work function (in eV) of the material?

What wavelength (in $\mu$ m) is associated with the Paschen series for n = 4? (RH = 1.097 * 107 m-1)

How much energy is in an 89.7 MHz photon of FM-radiation?

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90 $\degree$ angle.What is the wavelength of the scattered wave?

The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 2 eV.The light intensity is doubled.Determine the maximum kinetic energy of the photoelectrons (in eV) .

How much energy is in a 63 kHz photon of AM-radiation?

The threshold wavelength for photoelectric emission of a particular substance is 500 nm.What is the work function (in eV) ?

Your temperature is 98.6 $\degree$ F.Assuming your skin is a perfect radiator ( $\varepsilon$ = 1) , determine the wavelength corresponding to the largest intensity (in $\mu$ m) .

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 * 107 m-1)

A photon collides with an electron.After the collision the wavelength of the scattered wave at a scattering angle greater than is:

A photon whose wavelength is = 5.0 * 10-11 m is scattered straight backward.What is the wavelength of the scattered wave?

Assume electrons are accelerated through a potential difference of 25 000 V inside a TV picture tube.What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10-10 m)

What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

What is the maximum kinetic energy (in eV) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 * 107 m-1)

Quiz 17: Quantisation and Wave-Particle Duality

A neutron has a mass of 1.67 *10-27 kg.The de Broglie wavelength is 1.4 * 10-10 m.How fast is the neutron going? (in m/s)

A solid state pulsed laser has an energy of 400 mJ per pulse.If its wavelength is 1.06 * 10-6 m, how many photons are in each pulse?

What is the maximum kinetic energy (in eV) of a photoelectron when a surface, whose work function is 5.0 eV, is illuminated by photons whose wavelength is 400 nm?

The light intensity incident on a metallic surface with a work function of 3 eV produces photoelectrons with a maximum kinetic energy of 2 eV.The frequency of the light is doubled.Determine the maximum kinetic energy (in eV) .

A helium-neon laser emits red light having a wavelength of 6.4 *10-7 m and a power of 0.5 mW.How many photons are emitted each second?

A stopping potential of 3.2 V is needed for radiation whose wavelength is 200 nm.What is the work function (in eV) of the material?

What wavelength (in μ\muμ m) is associated with the Paschen series for n = 4? (RH = 1.097 * 107 m-1)

How much energy is in an 89.7 MHz photon of FM-radiation?

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90 °\degree° angle.What is the wavelength of the scattered wave?

The light intensity incident on a metallic surface produces photoelectrons with a maximum kinetic energy of 2 eV.The light intensity is doubled.Determine the maximum kinetic energy of the photoelectrons (in eV) .

How much energy is in a 63 kHz photon of AM-radiation?

The threshold wavelength for photoelectric emission of a particular substance is 500 nm.What is the work function (in eV) ?

Your temperature is 98.6 °\degree° F.Assuming your skin is a perfect radiator ( ε\varepsilonε = 1) , determine the wavelength corresponding to the largest intensity (in μ\muμ m) .

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 * 107 m-1)

A photon collides with an electron.After the collision the wavelength of the scattered wave at a scattering angle greater than is:

A photon whose wavelength is = 5.0 * 10-11 m is scattered straight backward.What is the wavelength of the scattered wave?

Assume electrons are accelerated through a potential difference of 25 000 V inside a TV picture tube.What is the minimum wavelength that could be produced when the electrons strike the phosphor? (1 Å = 10-10 m)

What is the maximum velocity (in km/s) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

What is the maximum kinetic energy (in eV) of a photoelectron emitted from a surface whose work function is 5.0 eV when illuminated by a light whose wavelength is 200 nm?

Light is emitted by hydrogen atoms in the visible range for a hydrogen atom.Its wavelength is 656 nm.What value of n is associated with the light? (RH = 1.097 * 107 m-1)

A neutron has a mass of 1.67 10-27 kg.The de Broglie wavelength is 1.4 10-10 m.How fast is the neutron going? (in m/s)

What wavelength (in $\mu$ m) is associated with the Paschen series for n = 4? (RH = 1.097 * 107 m-1)

A photon whose energy is 8.00 *10-15 J is scattered off an electron at a 90 $\degree$ angle.What is the wavelength of the scattered wave?

Your temperature is 98.6 $\degree$ F.Assuming your skin is a perfect radiator ( $\varepsilon$ = 1) , determine the wavelength corresponding to the largest intensity (in $\mu$ m) .