Question:
If the threshold wavelengths of two metals are in the ratio $1:3$, then the work functions of these metals are in the ratio
If the threshold wavelengths of two metals are in the ratio $1:3$, then the work functions of these metals are in the ratio
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Work function is inversely proportional to threshold wavelength.
Updated On: Apr 24, 2026
- $1:3$
- $2:1$
- $3:1$
- $1:2$
- $3:2$
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The Correct Option is C
Solution and Explanation
Concept:
• Work function: \[ \phi = \frac{hc}{\lambda} \]
Step 1: Relation
\[ \phi \propto \frac{1}{\lambda} \]
Step 2: Given ratio
\[ \lambda_1 : \lambda_2 = 1 : 3 \] \[ \phi_1 : \phi_2 = 3 : 1 \] Final Conclusion:
Option (C)
• Work function: \[ \phi = \frac{hc}{\lambda} \]
Step 1: Relation
\[ \phi \propto \frac{1}{\lambda} \]
Step 2: Given ratio
\[ \lambda_1 : \lambda_2 = 1 : 3 \] \[ \phi_1 : \phi_2 = 3 : 1 \] Final Conclusion:
Option (C)
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