Electric Circuits Answers

Describe and explain one experiment in which light exhibits a wave-like character and one experiment which illustrates the existence of photons. Light of frequency 50 x 10^14Hz liberates electrons with energy 2.31 x 10^-19J from a certain metallic surface. What is the wavelength of ultraviolet light which liberates electrons of energy 8.93 x 10^-19J from the same surface?

In an experiment on the photoelectric effect using radiation of wavelength 4.00 x 10^-7m, the maximum electron energy was observed to be 1.40 x 10-19J. With radiation of wavelength 3.00 x 10^-7m the maximum energy was 3.06 x 10^-19J. Derive a value for Planck’s constant.

When light is incident in a metal plate electrons are emitted only when the frequency of the light exceeds a certain value. How has this been explained? The maximum kinetic energy of the electrons emitted from a metallic surface is 1.6 x 10^-19J when the frequency of the incident radiation is 7.5 x 10^14Hz. Calculate the minimum frequency of radiation for which electrons will be emitted.

A photon with energy 2.28 eV is absorbed by a hydrogen atom. Find (a) the minimum n for a hydrogen atom that can be ionized by such a photon and (b) the speed of the electron released from the state in part.

Two hydrogen atoms moving at the same speed in opposite directions collide up with zero kinetic energy. Each atom then emits light with a wavelength of 121.6 nm. At what speed were the atoms moving before the collision considering that the mass of a hydrogen atom is equal to that of a proton?

The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n=2. Consider the photon of longest wavelength corresponding to a transition. Determine (a) its energy and (b) its wavelength.

A photon is emitted when a hydrogen atom undergoes a transition from the n=5 state to the n=3 state. Calculate (a) the energy in eV (b) the wavelength (c) the frequency of the emitted photon

What is the energy of a photon that, when absorbed by a hydrogen atom, could cause an electronic transition from (a) the n=2 state to the n=5 state and (b) the n= 4 state to the n=6 state?

(a) Calculate the distance of closest approach for a head-on collision between an alpha particle having an initial energy of 0.500 MeV and a gold nucleus at rest. Assume the gold nucleus remains at rest during the collision (b) What minimum initial speed must the alpha particle have to approach as close as 3.00 x 10^-18m to the gold nucleus?

In the Rutherford scattering experiment 400 MeV alpha particles scatter off gold nuclei (containing 79 protons and 118 neutrons). Assume a particular alpha particle moves directly toward the gold nucleus and scatters backward at 118 degrees, and that the gold nucleus remains fixed throughout the entire process. Determine (a) the distance of closest approach of the alpha particle to the gold nucleus and (b) the maximum force exerted on the alpha particle