If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
Practice Questions
1 question
Q1
If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
It remains the same
It doubles
It quadruples
It decreases
The kinetic energy of the emitted electrons is given by KE = hf - φ. If the frequency is doubled, the kinetic energy increases as it is directly proportional to frequency.
Questions & Step-by-step Solutions
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Q
Q: If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
Solution: The kinetic energy of the emitted electrons is given by KE = hf - φ. If the frequency is doubled, the kinetic energy increases as it is directly proportional to frequency.
Steps: 4
Step 1: Understand that the kinetic energy (KE) of emitted electrons is calculated using the formula KE = hf - φ, where h is Planck's constant, f is the frequency of the incident light, and φ is the work function (the energy needed to remove an electron).
Step 2: Recognize that if the frequency (f) of the incident light is doubled, it means we are increasing the value of f in the formula.
Step 3: Since KE is directly proportional to frequency (f), if we double f, the term hf in the formula also doubles.
Step 4: Therefore, when the frequency is doubled, the kinetic energy of the emitted electrons increases.