Physics · Current Electricity
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If electrons of charge ‘e’, with rest mass ‘m’, are accelerated through a potential difference ‘V’ and strike a metal target, then velocity of electrons is:
- A
Ve/m
- B
√(Ve/m)
- C
√(Ve/)2m
- D
√(2Ve/m)
√(2Ve/m): This option suggests that the velocity of electrons is the square root of twice the potential difference (2V) divided by the rest mass (m). This option introduces a factor of 2 in the numerator, which is incorrect based on the equation for velocity.
Based on the correct equation, the velocity of electrons accelerated through a potential difference (V) can be calculated using the formula:
velocity = √(2eV/m)
Therefore, the correct answer is option d) √(2Ve/m).
Please note that 'e' represents the charge of an electron, 'm' represents the rest mass of an electron, and 'V' represents the potential diffe
√(2Ve/m): This option suggests that the velocity of electrons is the square root of twice the potential difference (2V) divided by the rest mass (m). This option introduces a factor of 2 in the numerator, which is incorrect based on the equation for velocity.
Based on the correct equation, the velocity of electrons accelerated through a potential difference (V) can be calculated using the formula:
velocity = √(2eV/m)
Therefore, the correct answer is option d) √(2Ve/m).
Please note that 'e' represents the charge of an electron, 'm' represents the rest mass of an electron, and 'V' represents the potential difference.
Ve/m: This option suggests that the velocity of electrons is directly proportional to the potential difference (V) and inversely proportional to the rest mass (m). However, this option does not account for the square root relationship between velocity and potential difference, so it is not the correct answer.
√(Ve/m): This option suggests that the velocity of electrons is the square root of the potential difference (V) divided by the rest mass (m). This option correctly incorporates the square root relationship between velocity and potential difference, so it is a valid choice.
√(Ve/2m): This option suggests that the velocity of electrons is the square root of the potential difference (V) divided by twice the rest mass (2m). This option introduces a factor of 2 in the denominator, which is incorrect based on the equation for velocity.
√(2Ve/m): This option suggests that the velocity of electrons is the square root of twice the potential difference (2V) divided by the rest mass (m). This option introduces a factor of 2 in the numerator, which is incorrect based on the equation for velocity.
Based on the correct equation, the velocity of electrons accelerated through a potential difference (V) can be calculated using the formula:
velocity = √(2eV/m)
Therefore, the correct answer is option d) √(2Ve/m).
Please note that 'e' represents the charge of an electron, 'm' represents the rest mass of an electron, and 'V' represents the potential diffe
√(2Ve/m): This option suggests that the velocity of electrons is the square root of twice the potential difference (2V) divided by the rest mass (m). This option introduces a factor of 2 in the numerator, which is incorrect based on the equation for velocity.
Based on the correct equation, the velocity of electrons accelerated through a potential difference (V) can be calculated using the formula:
velocity = √(2eV/m)
Therefore, the correct answer is option d) √(2Ve/m).
Please note that 'e' represents the charge of an electron, 'm' represents the rest mass of an electron, and 'V' represents the potential difference.
Tagged under Physics · Current Electricity · 2015