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Question: The photons in a radio wave of wavelength 3 × 10<sup>4</sup> cm have an energy –...

The photons in a radio wave of wavelength 3 × 104 cm have an energy –

A

6.6 × 10–28 J

B

6.6 × 10–40 J

C

19.86 × 10–34 J

D

None

Answer

6.6 × 10–28 J

Explanation

Solution

l = 3 × 104 cm = 3 × 104 × 108 Å = 3 × 1012 Å

Now, energy in eV = 123753×1012\frac{12375}{3 \times 10^{12}}

energy in joule = 12375×1.6×10193×1012\frac{12375 \times 1.6 \times 10^{- 19}}{3 \times 10^{12}}

= 6.6 × 103 × 10–31 = 6.6 × 10–28 J A proton and an a-particle are accelerated through the same potential difference. The ratio of de-Broglie wavelength of the proton to that of the a-particle will be-