Photon and Electron Properties Assessment

The video tutorial explains the calculation of the wavelength of an electron using its kinetic energy and momentum. It demonstrates the conversion of energy units and derives the electron's wavelength as 0.5 nanometers. The tutorial then compares this with the wavelength of a photon, calculated to be 248 nanometers, highlighting the significant difference in wavelengths despite having the same kinetic energy. The video concludes by emphasizing the larger wavelength of the photon, placing it in the ultraviolet spectrum.

What is the relationship between kinetic energy (K) and momentum (p) for an electron?

• K = p^2 / 2m

• K = 2m / p^2

• K = 2p^2 / m

• K = p / 2m

How is the momentum (p) of an electron calculated from its kinetic energy (K)?

• p = sqrt(K / 2m)

• p = K / 2m

• p = 2mK

• p = sqrt(2mK)

What is the value of the mass of an electron used in the calculations?

• 9.11 x 10^-31 kg

• 1.67 x 10^-27 kg

• 1.60 x 10^-19 kg

• 6.63 x 10^-34 kg

What is the formula for calculating the wavelength (λ) of an electron?

• λ = h / p

• λ = p^2 / h

• λ = p / h

• λ = h * p

What is the approximate wavelength of an electron with a kinetic energy of 5 eV?

• 0.5 nanometers

• 248 nanometers

• 5 nanometers

• 12 nanometers

What is the value of Planck's constant (h) used in the calculations?

• 1.60 x 10^-19 J·s

• 9.11 x 10^-31 J·s

• 6.63 x 10^-34 J·s

• 1.67 x 10^-27 J·s

What is the wavelength of a photon with an energy of 5 eV?

• 12 nanometers

• 248 nanometers

• 5 nanometers

• 0.5 nanometers

How does the wavelength of a photon compare to that of an electron with the same energy?

• Photon has a much larger wavelength

• Photon has a much smaller wavelength

• Photon and electron have the same wavelength

• Photon has no wavelength

In which part of the electromagnetic spectrum does the photon with a wavelength of 248 nanometers lie?

• Microwave

• Visible

• Infrared

• Ultraviolet

What is the significance of the difference in wavelengths between electrons and photons?

• It determines their speed

• It affects their interaction with matter

• It alters their charge

• It changes their mass