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In a Bohr model ,the electron of a hydrogen atom moves in in a circular orbit of radius 5.3×10^-¹¹ m with a speed of 2.2 ×10^6 m/s.Determine the frequency (f)and current (I) in the orbit?
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In a Bohr model ,the electron of a hydrogen atom moves in in a circula...
Bohr Model of Hydrogen Atom
The Bohr model describes the structure of an atom, specifically the hydrogen atom, in terms of energy levels and orbits. According to this model, the electron in a hydrogen atom moves in circular orbits around the nucleus.
Given Information
- Radius of the orbit (r) = 5.3×10^-¹¹ m
- Speed of the electron (v) = 2.2×10^6 m/s
Determining the Frequency (f)
The frequency of an object in circular motion is the number of complete revolutions it makes in one unit of time.
- We can calculate the time taken for one complete revolution by using the formula:
Time (T) = Circumference (C) / Speed (v)
- The circumference of the circular orbit is equal to 2π times the radius (r):
C = 2πr
- Substituting the given value of radius:
C = 2π(5.3×10^-¹¹ m)
- Now we can calculate the time taken for one complete revolution:
T = (2π(5.3×10^-¹¹ m)) / (2.2×10^6 m/s)
- The frequency (f) is the reciprocal of the time taken:
f = 1 / T
Determining the Current (I)
The current in the orbit refers to the flow of charge (electrons) per unit time.
- The charge (q) of an electron is equal to the elementary charge (e), which is approximately 1.6×10^-19 C.
- The number of electrons (n) in one complete revolution can be calculated by dividing the circumference (C) by the electron's orbit circumference (2πr):
n = C / (2πr)
- The total charge (Q) in one complete revolution is equal to the product of the charge of one electron (q) and the number of electrons (n):
Q = q * n
- The time taken for one complete revolution (T) is the same as calculated before.
- The current (I) is given by the equation:
I = Q / T
Calculating the Frequency (f) and Current (I)
By substituting the values into the respective formulas, we can calculate the frequency and current in the orbit.
- Frequency (f):
f = 1 / T
- Current (I):
I = Q / T
Final Answer
The calculated values for frequency and current will depend on the given values of radius and speed. By substituting the values into the formulas provided, you can determine the specific values for frequency (f) and current (I) in the given hydrogen atom orbit.
The Bohr model describes the structure of an atom, specifically the hydrogen atom, in terms of energy levels and orbits. According to this model, the electron in a hydrogen atom moves in circular orbits around the nucleus.
Given Information
- Radius of the orbit (r) = 5.3×10^-¹¹ m
- Speed of the electron (v) = 2.2×10^6 m/s
Determining the Frequency (f)
The frequency of an object in circular motion is the number of complete revolutions it makes in one unit of time.
- We can calculate the time taken for one complete revolution by using the formula:
Time (T) = Circumference (C) / Speed (v)
- The circumference of the circular orbit is equal to 2π times the radius (r):
C = 2πr
- Substituting the given value of radius:
C = 2π(5.3×10^-¹¹ m)
- Now we can calculate the time taken for one complete revolution:
T = (2π(5.3×10^-¹¹ m)) / (2.2×10^6 m/s)
- The frequency (f) is the reciprocal of the time taken:
f = 1 / T
Determining the Current (I)
The current in the orbit refers to the flow of charge (electrons) per unit time.
- The charge (q) of an electron is equal to the elementary charge (e), which is approximately 1.6×10^-19 C.
- The number of electrons (n) in one complete revolution can be calculated by dividing the circumference (C) by the electron's orbit circumference (2πr):
n = C / (2πr)
- The total charge (Q) in one complete revolution is equal to the product of the charge of one electron (q) and the number of electrons (n):
Q = q * n
- The time taken for one complete revolution (T) is the same as calculated before.
- The current (I) is given by the equation:
I = Q / T
Calculating the Frequency (f) and Current (I)
By substituting the values into the respective formulas, we can calculate the frequency and current in the orbit.
- Frequency (f):
f = 1 / T
- Current (I):
I = Q / T
Final Answer
The calculated values for frequency and current will depend on the given values of radius and speed. By substituting the values into the formulas provided, you can determine the specific values for frequency (f) and current (I) in the given hydrogen atom orbit.
Community Answer
In a Bohr model ,the electron of a hydrogen atom moves in in a circula...
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In a Bohr model ,the electron of a hydrogen atom moves in in a circular orbit of radius 5.3×10^-¹¹ m with a speed of 2.2 ×10^6 m/s.Determine the frequency (f)and current (I) in the orbit?
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In a Bohr model ,the electron of a hydrogen atom moves in in a circular orbit of radius 5.3×10^-¹¹ m with a speed of 2.2 ×10^6 m/s.Determine the frequency (f)and current (I) in the orbit? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a Bohr model ,the electron of a hydrogen atom moves in in a circular orbit of radius 5.3×10^-¹¹ m with a speed of 2.2 ×10^6 m/s.Determine the frequency (f)and current (I) in the orbit? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Bohr model ,the electron of a hydrogen atom moves in in a circular orbit of radius 5.3×10^-¹¹ m with a speed of 2.2 ×10^6 m/s.Determine the frequency (f)and current (I) in the orbit?.
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