Verified Solution • 2025–26 Session moderate

QPages 365-366: Q18: HC Verma: Concepts of Physics - Volume 2 Photoelectric Effect and Wave-Particle Duality Pages 365-366: Q18 Solution: When a metal plate is exposed to a monochromatic beam of light…

When a metal plate is exposed to a monochromatic beam of light of wavelength 400 nm, a negative potential of 1.1 V is needed to stop the photo current. Find the threshold wavelength for the metal. Use h=6.63×10−34 J-s=4.14×10−15 eV-sh = 6.63 \times 10^{-34} \text{ J-s} = 4.14 \times 10^{-15} \text{ eV-s}, c=3×108 m/sc = 3 \times 10^8 \text{ m/s} and me=9.1×10−31 kgm_e = 9.1 \times 10^{-31} \text{ kg})

Step-by-Step Verified Solution

**Answer:** λ0=620\lambda_0 = 620 nm. **Step-by-Step Explanation:** E=1240400=3.1E = \frac{1240}{400} = 3.1 eV. ϕ=E−eVs=3.1−1.1=2.0\phi = E - eV_s = 3.1 - 1.1 = 2.0 eV. λ0=12402.0=620\lambda_0 = \frac{1240}{2.0} = 620 nm.

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