Short Answer Type
Long Answer TypeShort Answer TypeWhat do you understand by Dual nature of matter?
Or
What is de-Broglie relationship?
In 1905, Einstein suggested that lights has wave nature and particle nature(dual nature). In 1923, de-Broglie proposed that like light, matter (all materials particles)a lso has wave as well as particle nature(dual matter). He derived a relationship for calculation of the wavelength (A) of the wave associated with a particle of mass m, moving with a velocity v.
The above relation is known as de-Broglie’s relation and states that the wavelength of the matter wave is inversely proportional to its momentum. In 1927, Davisson and Germer verified experimentally the wave nature of electron.
How will you correlate Bohr’s concept of hydrogen atom with de-Broglie concept?
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Show that the circumference of Bohr orbit for the hydrogen atom is an integral multiple of de-Broglie wavelength associated with electron revolving around the orbit.
What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10 ms-1?
If the velocity of the electron in Bohr's first orbit is 2.19 x 106 ms-1, calculate the de Broglie wavelength associated with it.
The velocity associated with a proton moving in a potential difference of 1000V is 4.37 x 105 ms-1. If the hockey ball of mass 0.1 kg is moving with this velocity, calculate the wavelength associated with this velocity.
Dual behaviour of matter proposed by de Broglie led to the discovery of electron microscope often used for the highly magnified images of biological molecules and other type of material. If the velocity of the leectron in this microscope is 1.6 X 106 ms-1, calculate de Broglie wavelength associated with this electron.
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