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Modern PhysicsHard JEE physics MCQ

A photoelectric material having work-function $\phi_{0}$ is illuminated with light of wavelength $\lambda\left(\lambda<\frac{h c}{\phi_{0}}\right)$. The fastest photoelectron has a de Broglie wavelength $\lambda_{d}$. A change in wavelength of the incident light by $\Delta \lambda$ results in a change $\Delta \lambda_{d}$ in $\lambda_{d}$. Then the ratio $\Delta \lambda_{d} / \Delta \lambda$ is proportional to $[\mathrm{A}] \quad \lambda_{d} / \lambda$ $[\mathrm{B}] \quad \lambda_{d}^{2} / \lambda^{2}$ $[\mathrm{C}] \lambda_{d}^{3} / \lambda$ $[\mathrm{D}] \lambda_{d}^{3} / \lambda^{2}$
  1. A.
  2. B.
  3. C.
  4. D.

Solution

The correct option is **D**.

PHYSICS

hardPYQ Reworded
Question
Read carefully, then pick the best option.
A photoelectric material having work-function ϕ0\phi_{0} is illuminated with light of wavelength λ(λ<hcϕ0)\lambda\left(\lambda<\frac{h c}{\phi_{0}}\right). The fastest photoelectron has a de Broglie wavelength λd\lambda_{d}. A change in wavelength of the incident light by Δλ\Delta \lambda results in a change Δλd\Delta \lambda_{d} in λd\lambda_{d}. Then the ratio Δλd/Δλ\Delta \lambda_{d} / \Delta \lambda is proportional to [A]λd/λ[\mathrm{A}] \quad \lambda_{d} / \lambda [B]λd2/λ2[\mathrm{B}] \quad \lambda_{d}^{2} / \lambda^{2} [C]λd3/λ[\mathrm{C}] \lambda_{d}^{3} / \lambda [D]λd3/λ2[\mathrm{D}] \lambda_{d}^{3} / \lambda^{2}
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Modern Physics — Hard JEE Physics MCQ | MyGoalPrep