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Structure of Atom

Short Answer Type

181.

Why the energy of electron in an atom is negative?

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Long Answer Type

182. How has Bohr’s theory helped in calculating the energy of hydrogen electror in the ground state and also in the excited state?

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Short Answer Type

183.

What do you understand by Dual nature of matter?
Or
What is de-Broglie relationship?

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184.
How will you correlate Bohr’s concept of hydrogen atom with de-Broglie concept?
Or
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.

According to Bohr’s theory,

According to de-Broglie equation,

...(2)

From equations (1) and (2), we have

...(3)

From eq. (3), it is evident that circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de-Broglie wavelength.

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185.

What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10 ms^-1?

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186. Calculate the wavelength of an electron moving with a velocity of 2.05x 10⁷ ms^-1.

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187.

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.

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188.

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.

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189.

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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190. Similar to electron diffraction, neutron diffraction microscope is also used for the determination of the structure of molecules. If the wavelength used here is 800 pm, calculate the characteristic velocity associated with the neutron.

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