Step 1: Understanding Photoelectric Effect.
The photoelectric effect depends on the frequency of the incident light. If the frequency of the light is less than the threshold frequency, no photocurrent is generated, regardless of the intensity. Since the frequency is now reduced to \( \frac{1}{3} \)rd of the original value, it will be below the threshold frequency and no electrons will be ejected from the material. Hence, the photocurrent will be zero.
Step 2: Final Answer.
Thus, the photocurrent will be zero.