Metal 1 has a larger work function than metal 2. Both are illuminated with the same short-wavelength ultraviolet light. Do photoelectrons from metal 1 have a higher speed, a lower speed, or the same speed as photoelectrons from metal 2? Explain.

Short Answer

Expert verified

Photoelectrons from metal 1 will have a lower speed than metal 2.

Step by step solution

01

Step 1. Two metals 1 and 2 are illuminated with same short wavelength and :Work function of metal 1 > Work function of metal 2

We need to find out whether photoelectrons of metal 1 will have higher, lower or equal speed to that to photoelectrons of metal 2.

02

Step 2. Comparing the speed of metal 1 and metal 2.

Sinceλ1=λ2f1=f2And(Eelec)1=hf1isequalto(Eelec)2=hf2ButE01=E02Therefore,(Kmax)1=Eelec-E01(Kmax)2=Eelec-E02So,(Kmax)1<(Kmax)2Hence,v1<v2

Photoelectrons from metal 1 will have a lower speed than metal 2.

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