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Order of magnitude of density of uranium...

Order of magnitude of density of uranium nucleus is , [m = 1.67 xx 10^(-27 kg]`

A

`10^(20)kg//m^(3)`

B

`10^(17)kg//m^(3)`

C

`10^(14)kg//m^(3)`

D

`10^(11)kg//m^(3)`

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Deutrium was discovered in 1932 by Harold Urey by measuring the small change in wavelength for a particular transition in .^(1)H and .^(2)H . This is because, the wavelength of transition depend to a certain extent on the nuclear mass. If nuclear motion is taken into account, then the electrons and nucleus revolve around their common centre of mass. Such a system is equivalent to a single particle with a reduced mass mu , revolving around the nucleus at a distance equal to the electron -nucleus separation. Here mu = m_(e) M//(m_(e)+M) , where M is the nuclear mass and m_(e) is the electronic mass. Estimate the percentage difference in wavelength for the 1st line of the Lyman series in .^(1)H and .^(2)H . (mass of .^(1)H nucleus is 1.6725 xx 10^(-27) kg, mass of .^(2)H nucleus is 3.3374 xx 10^(-27) kg, Mass of electron = 9.109 xx 10^(-31) kg .)

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