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Find the velocity of an electron when its kinetic energy is equal to one electron volt (in 105m/s).
Given charge of an electron e = 1.6 x 10-19 and mass of an electron m = 9.1 x 10-31.
Given charge of an electron e = 1.6 x 10-19 and mass of an electron m = 9.1 x 10-31.
- a)3.9
- b)4.9
- c)5.9
- d)6.9
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Find the velocity of an electron when its kinetic energy is equal to o...
Answer: c
Explanation: When the kinetic energy and one electron volt are equal, we can equate mv2/2 = eV. Put e and m in the equation to get velocity v = 5.9 x 105 m/s.
Explanation: When the kinetic energy and one electron volt are equal, we can equate mv2/2 = eV. Put e and m in the equation to get velocity v = 5.9 x 105 m/s.
Most Upvoted Answer
Find the velocity of an electron when its kinetic energy is equal to o...
Given:
Charge of an electron, e = 1.6 x 10^(-19) C
Mass of an electron, m = 9.1 x 10^(-31) kg
Kinetic energy of the electron = 1 electron volt = 1 eV
To find the velocity of the electron when its kinetic energy is equal to one electron volt, we can use the formula for kinetic energy:
Kinetic energy (K.E.) = (1/2) * mass * velocity^2
Rearranging the formula, we can solve for velocity:
velocity = sqrt((2 * kinetic energy) / mass)
Substituting the given values into the formula:
velocity = sqrt((2 * (1.6 x 10^(-19) J)) / (9.1 x 10^(-31) kg))
Converting electron volts to joules:
1 eV = 1.6 x 10^(-19) J
velocity = sqrt((2 * (1.6 x 10^(-19) J)) / (9.1 x 10^(-31) kg))
Simplifying the expression:
velocity = sqrt((3.2 x 10^(-19)) / (9.1 x 10^(-31) kg))
velocity = sqrt(3.516 x 10^12 m^2/s^2)
velocity = 5.93 x 10^6 m/s
Therefore, the velocity of the electron when its kinetic energy is equal to one electron volt is approximately 5.93 x 10^6 m/s.
The correct answer is option 'C' - 5.9 x 10^6 m/s.
Charge of an electron, e = 1.6 x 10^(-19) C
Mass of an electron, m = 9.1 x 10^(-31) kg
Kinetic energy of the electron = 1 electron volt = 1 eV
To find the velocity of the electron when its kinetic energy is equal to one electron volt, we can use the formula for kinetic energy:
Kinetic energy (K.E.) = (1/2) * mass * velocity^2
Rearranging the formula, we can solve for velocity:
velocity = sqrt((2 * kinetic energy) / mass)
Substituting the given values into the formula:
velocity = sqrt((2 * (1.6 x 10^(-19) J)) / (9.1 x 10^(-31) kg))
Converting electron volts to joules:
1 eV = 1.6 x 10^(-19) J
velocity = sqrt((2 * (1.6 x 10^(-19) J)) / (9.1 x 10^(-31) kg))
Simplifying the expression:
velocity = sqrt((3.2 x 10^(-19)) / (9.1 x 10^(-31) kg))
velocity = sqrt(3.516 x 10^12 m^2/s^2)
velocity = 5.93 x 10^6 m/s
Therefore, the velocity of the electron when its kinetic energy is equal to one electron volt is approximately 5.93 x 10^6 m/s.
The correct answer is option 'C' - 5.9 x 10^6 m/s.
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