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TS EAMCET · Physics · Dual Nature of Matter

A radiation of energy \(E\) falls on a perfectly reflecting surface. The momentum transferred to the surface is (let \(c \equiv\) speed of light)

  1. A \(\frac{E}{C}\)
  2. B \(\frac{2 E}{c}\)
  3. C EC
  4. D \(\frac{E}{c^2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2 E}{c}\)

Step-by-step Solution

Detailed explanation

The momentum carried by a photon of energy \(E\) and wavelength \(\lambda\) is \(p=\frac{h}{\lambda}=\frac{h c}{\lambda c}=\frac{h c}{\lambda} \times \frac{1}{c}=E \times \frac{1}{c}=\frac{E}{c} \quad\left[\because \frac{h c}{\lambda}=E\right]\) where, \(h=\) Planck's constant.…