Question

which of the following experiments most directly supports de broglies hypothesis of the wave nature of matter?
the photoelectric effect
electron diffraction by a crystal
blackbody radiation
the emission spectrum from the hydrogen atom
question 7
1 pts
which of the following objects would have the smallest wavelength at the same velocity?
planet earth
electron
baseball
proton
question 8
1 pts
even though all matter exhibits a wave - like quality, we can really only observe the wave properties of
massive objects like planets or stars.
very small objects like subatomic particles.
medium sized objects like cars or trees.
small objects like animal or plant cells.

Explanation:

• For the first question, de Broglie's hypothesis of the wave - nature of matter is directly supported by electron diffraction by a crystal as it shows wave - like behavior (diffraction) of electrons. The photoelectric effect supports the particle nature of light, blackbody radiation is related to the emission of radiation by a perfect blackbody, and the hydrogen atom emission spectrum is related to energy levels in the atom.
• For the second question, according to the de Broglie wavelength formula $\lambda=\frac{h}{mv}$ (where $h$ is Planck's constant, $m$ is mass and $v$ is velocity), at the same velocity, the object with the largest mass will have the smallest wavelength. Among the options, Earth has the largest mass.
• For the third question, the wave properties of matter are only observable for very small objects like subatomic particles because for larger objects, the de Broglie wavelength is extremely small and difficult to detect.

Answer:

• Question 1: Electron diffraction by a crystal
• Question 2: Planet Earth
• Question 3: very small objects like subatomic particles