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An electron rises through a voltage of 100 V. The energy acquired by it will be
- a)100 eV
- b)100 joules
- c)(100)1.2 eV
- d)(100)1.2 joules
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An electron rises through a voltage of 100 V. The energy acquired by i...
When an electron rises through 1 V, energy = 1 eV.
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An electron rises through a voltage of 100 V. The energy acquired by i...
Explanation:
When an electron rises through a voltage of 100 V, it gains energy. The energy acquired by the electron can be calculated using the formula:
Energy (E) = Voltage (V) x Charge (q)
In this case, the voltage is given as 100 V. To find the charge, we need to know the charge of an electron. The charge of an electron is -1.6 x 10^-19 Coulombs.
Calculation:
Given:
Voltage (V) = 100 V
Charge (q) = -1.6 x 10^-19 C
Substituting these values into the formula, we get:
Energy (E) = 100 V x (-1.6 x 10^-19 C)
Now, let's calculate the energy:
E = 100 x (-1.6 x 10^-19)
E = -160 x 10^-17
The unit for energy in the SI system is Joules (J). However, in this question, the unit is given as electron volts (eV). 1 eV is equal to 1.6 x 10^-19 J.
Conversion:
To convert the energy from Joules to electron volts, we divide the energy value by the conversion factor:
E (eV) = E (J) / (1.6 x 10^-19 J/eV)
Substituting the value of E, we get:
E (eV) = (-160 x 10^-17) / (1.6 x 10^-19)
E (eV) = -100 eV
Since energy cannot be negative, we take the absolute value of the energy:
E (eV) = 100 eV
Therefore, the energy acquired by the electron is 100 eV, which is the correct answer (option A).
When an electron rises through a voltage of 100 V, it gains energy. The energy acquired by the electron can be calculated using the formula:
Energy (E) = Voltage (V) x Charge (q)
In this case, the voltage is given as 100 V. To find the charge, we need to know the charge of an electron. The charge of an electron is -1.6 x 10^-19 Coulombs.
Calculation:
Given:
Voltage (V) = 100 V
Charge (q) = -1.6 x 10^-19 C
Substituting these values into the formula, we get:
Energy (E) = 100 V x (-1.6 x 10^-19 C)
Now, let's calculate the energy:
E = 100 x (-1.6 x 10^-19)
E = -160 x 10^-17
The unit for energy in the SI system is Joules (J). However, in this question, the unit is given as electron volts (eV). 1 eV is equal to 1.6 x 10^-19 J.
Conversion:
To convert the energy from Joules to electron volts, we divide the energy value by the conversion factor:
E (eV) = E (J) / (1.6 x 10^-19 J/eV)
Substituting the value of E, we get:
E (eV) = (-160 x 10^-17) / (1.6 x 10^-19)
E (eV) = -100 eV
Since energy cannot be negative, we take the absolute value of the energy:
E (eV) = 100 eV
Therefore, the energy acquired by the electron is 100 eV, which is the correct answer (option A).
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An electron rises through a voltage of 100 V. The energy acquired by it will bea)100 eVb)100 joulesc)(100)1.2 eVd)(100)1.2 joulesCorrect answer is option 'A'. Can you explain this answer?
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