Moderate

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:

Correct answer: D. √(2Ve/m)

  • A. Ve/m
  • B. √(Ve/m)
  • C. √(Ve/)2m
  • D. √(2Ve/m)

Explanation

√(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.

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