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33 Maths Exercise Solutions

In the Rutherford's. nuclear model of the atom. the nucleus radius about is analogous to the sun about which the electron move in orbit radius like the earth orbits around the sun. If the dimensions of the solar system had the same proportions as those of the atom, would the earth be closer to or farther away from the sun than actually it is? The radius of earth's orbit is about . The radius of sun is taken as

In a Geiger-Marsden experiment, what is the distance of closest approach to the nucleus of a MeV -particle before it comes momentarily to rest and reverses its direction?

It is found experimentally that energy is required to separate a hydrogen atom into a proton and an electron. Compute the orbital radius and the velocity of the electron in a hydrogen atom.

According to the classical electromagnetic theory. calculate the initial frequency of the light emitted by the electron revolving around a proton in hydrogen atom.

A satellite circles earth once every in an orbit, having a radius of . Assuming that Bohr's angular momentum postulate applies to satellites just as it does to an electron in the hydrogen atom. find the quantum number of the orbit of the satellite.

Using the Rydberg formula. calculate the wavelengths of the first four spectral lines in the Lyman series of the hydrogen spectrum.

Pick an appropriate option to justify the given statement:

Size of an atom in Rutherford’s model is _________ the size of an atom compared to Thomson’s model. Less than, Greater than, no different than

Size of an atom in Rutherford’s model is _________ the size of an atom compared to Thomson’s model. Less than, Greater than, no different than

Pick an appropriate option to justify the given statement:

Even in the case of stable equilibrium _________ electrons experience a net force, though _______ electrons do not.

Even in the case of stable equilibrium _________ electrons experience a net force, though _______ electrons do not.

Pick an appropriate option to justify the given statement:

_____ is a showcase of a model of an atom which is bound to fail. [Rutherford’s model, Thomson’s model]

_____ is a showcase of a model of an atom which is bound to fail. [Rutherford’s model, Thomson’s model]

Pick an appropriate option to justify the given statement:

Mass distribution is uniform in __________ but highly irregular in ___________ . Rutherford’s model, Thomson’s model, both the models

Mass distribution is uniform in __________ but highly irregular in ___________ . Rutherford’s model, Thomson’s model, both the models

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