Question

If E and p are the respective energy and momentum of a photon, then on reducing the wavelength of
the photon,
(A) both p and E will decrease
(B) both p and E will increase
(C) p will increase but E will decrease (D) p will decrease but E will increase​

Answer 1

Answer: (b) both p and E will increase

Explanation:

We know c = wavelength × frequency

Thus wavelength is inversely proportional to frequency.

Also E = h × frequency

So E is directly proportional to frequency.

Thus E is inversely proportional to wavelength.

So when wavelength will decrease , energy will increase.

Also p = h/ wavelength

So p is inversely proportional to wavelength.

Thus when wavelength will decrease momentum will increase.

Thus option 2 is correct.

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