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The radius of the stationary state which is also called Bohr radius is given by the expression rn = n2a0 where the value of a0 is
- a)52.9 pm
- b)5.29 pm
- c)529 pm
- d)0.529 pm
Correct answer is option 'A'. Can you explain this answer?
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The radius of the stationary state which is also called Bohr radius is...
Explanation:
Bohr Model of the Atom:
The Bohr model of the atom is a simplified model that describes the structure of an atom. According to this model, electrons orbit the nucleus in specific energy levels or shells. Each energy level is associated with a specific distance from the nucleus.
Bohr Radius (a0):
The Bohr radius (a0) represents the average distance between the electron and the nucleus in the hydrogen atom when it is in the ground state. It is given by the expression:
a0 = 0.529 Å (angstrom)
Radius of the Stationary State (rn):
The radius of the stationary state, denoted by rn, represents the average distance between the electron and the nucleus in any energy level (n) of the hydrogen atom. It is given by the expression:
rn = n^2 * a0
where n is the principal quantum number representing the energy level.
Explanation of the Correct Answer:
The correct answer is option A, which states that the value of a0 is 52.9 pm (picometers).
The Bohr radius (a0) is a fundamental constant and has a specific value of 0.529 Å (angstrom), which is equivalent to 52.9 pm (picometers). This value is derived from experimental measurements and theoretical calculations.
Therefore, when calculating the radius of a stationary state (rn), the expression rn = n^2 * a0 should be used, with the value of a0 being 52.9 pm.
Summary:
- The Bohr radius (a0) represents the average distance between the electron and the nucleus in the hydrogen atom when it is in the ground state.
- The radius of the stationary state (rn) represents the average distance between the electron and the nucleus in any energy level (n) of the hydrogen atom.
- The value of a0 is 52.9 pm, which is derived from experimental measurements and theoretical calculations.
- The expression rn = n^2 * a0 is used to calculate the radius of a stationary state.
Bohr Model of the Atom:
The Bohr model of the atom is a simplified model that describes the structure of an atom. According to this model, electrons orbit the nucleus in specific energy levels or shells. Each energy level is associated with a specific distance from the nucleus.
Bohr Radius (a0):
The Bohr radius (a0) represents the average distance between the electron and the nucleus in the hydrogen atom when it is in the ground state. It is given by the expression:
a0 = 0.529 Å (angstrom)
Radius of the Stationary State (rn):
The radius of the stationary state, denoted by rn, represents the average distance between the electron and the nucleus in any energy level (n) of the hydrogen atom. It is given by the expression:
rn = n^2 * a0
where n is the principal quantum number representing the energy level.
Explanation of the Correct Answer:
The correct answer is option A, which states that the value of a0 is 52.9 pm (picometers).
The Bohr radius (a0) is a fundamental constant and has a specific value of 0.529 Å (angstrom), which is equivalent to 52.9 pm (picometers). This value is derived from experimental measurements and theoretical calculations.
Therefore, when calculating the radius of a stationary state (rn), the expression rn = n^2 * a0 should be used, with the value of a0 being 52.9 pm.
Summary:
- The Bohr radius (a0) represents the average distance between the electron and the nucleus in the hydrogen atom when it is in the ground state.
- The radius of the stationary state (rn) represents the average distance between the electron and the nucleus in any energy level (n) of the hydrogen atom.
- The value of a0 is 52.9 pm, which is derived from experimental measurements and theoretical calculations.
- The expression rn = n^2 * a0 is used to calculate the radius of a stationary state.
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