Advertisements
Advertisements
Question
The electron in a hydrogen atom is typically found at a distance of about 5.3 × 10−11 m from the nucleus which has a diameter of about 1.0 × 10−15 m. Assuming the hydrogen atom to be a sphere of radius 5.3 × 10−11 m, what fraction of its volume is occupied by the nucleus?
Advertisements
Solution
Volume of nucleus = `4/3 π"r"^3`
Volume of atom = `4/3 π"R"^3`
Fraction of volume occupied by the nucleus = `(4/3π"r"^3)/(4/3π"R"^3)`
= `(0.5 xx 10^-15)^3/(5.3 xx 10^-11)^3`
= 8.39
= 8.4 × 10−16
APPEARS IN
RELATED QUESTIONS
Thorium 90Th232 is disintegrated into lead 82Pb200. Find the number of α and β particles emitted in disintegration.
The size of the atom in Thomson’s model is ______ the atomic size in Rutherford’s model.
An atom has a nearly continuous mass distribution in a ______ but has a highly non-uniform mass distribution in ______.
An electron in an atom revolves round the nucleus in an orbit of radius r with frequency v. Write the expression for the magnetic moment of the electron.
The total energy of an electron in the ground state of the hydrogen atom is -13·6 eV. Its total energy, when a hydrogen atom is in the first excited state, is ______.
The basic force acting on the alpha particles using Coulomb's law is ______.
In Geiger-Marsden experiment, actual results were ______.
The first line of Balmer series (Hα) in the spectrum of hydrogen is obtained when an electron of hydrogen atom goes from ______.
An alpha particle has
How is the size of a nucleus found experimentally? Write the relation between the radius and mass number of a nucleus.
