Quantum Mechanics

1. Step 1: First, we need to calculate the energy of the photon using the equation:

   Where is Planck’s constant, is the speed of light, and is the wavelength of the incident light.

2. Step 2: For the given wavelength of , we can calculate the energy of the photon as:

3. Step 3: Electrons will be emitted from a metal surface only if the energy of the incident photon is greater than or equal to the work function ( ) of the metal.
4. Step 4: Comparing the photon energy with the work functions, we find that only metal D (with a work function of ) will emit electrons because its work function is less than or equal to the energy of the photon.

Conclusion: Metal D will emit electrons as its work function ( ) is less than the photon energy ( ).