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प्रश्न
The ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is ______.
विकल्प
`64/125`
`4/5`
`5/4`
1
उत्तर
The ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is 1.
Explanation:
Given, A1 = 64, A2 = 125
`R = R_0A^{1"/"3}`
Density = `"Atomic Mass"/"Volume" = A/(4/3piR^3)`
= `A/(4/3piR^3) = A/(4/3pi(R_0A^{1"/"3})^3)`
= `A/(4/3piR_0^3A)`
`rho = 1/(4/3piR_0^3)`
`rho_1/rho_2 = (4/3piR_0^3)/(4/3piR_0^3) = 1`
It is independent of mass number.
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संबंधित प्रश्न
From the relation R = R0A1/3, where R0 is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).
Answer the following question.
Show that the density of the nucleus is independent of its mass number A.
A molecule of hydrogen contains two protons and two electrons. The nuclear force between these two protons is always neglected while discussing the behaviour of a hydrogen molecule. Why?
The radius of \[\ce{^27_13X}\] nucleus is R. The radius of \[\ce{^125_53Y}\] nucleus will be ______.
