Which of the following is true for a photon?
A photon of wavelength 3000 x 10-10 m has momentum twice than a photon of wavelength 6000 x10-10 m.
A photon of wavelength 3000 x 10-10 m has momentum twice than a photon of wavelength 6000 x10-10 m.
A photon of wavelength 3000 x 10-10 m has momentum half of the photon of wavelength 6000 x 10-10 m.
A photon of wavelength 3000 x 10-10 m has same momentum as that of a photon of wavelength 6000 x 10-10 m.
A photon of wavelength 3000 x10-10 m has momentum four times that of a photon of wavelength 6000 x 10-10 m.
To determine which statement is true for a photon, we need to understand the relationship between the wavelength and momentum of a photon.
The relationship between the momentum (p) of a photon and its wavelength (λ) is given by the equation:
p = h / λ
where h is the Planck's constant (approximately 6.626 x 10^-34 J·s).
Let's calculate the momentum for each given wavelength and compare them.
1) For a photon of wavelength 3000 x 10^-10 m:
p1 = h / λ1 = 6.626 x 10^-34 J·s / (3000 x 10^-10 m)
2) For a photon of wavelength 6000 x 10^-10 m:
p2 = h / λ2 = 6.626 x 10^-34 J·s / (6000 x 10^-10 m)
Now, let's simplify these expressions and compare the results.
1) p1 = (6.626 x 10^-34 J·s) / (3000 x 10^-10 m) = 2.209 x 10^-24 kg·m/s
2) p2 = (6.626 x 10^-34 J·s) / (6000 x 10^-10 m) = 1.104 x 10^-24 kg·m/s
Comparing p1 and p2, we can see that p1 is not twice p2.
Therefore, the statement "A photon of wavelength 3000 x 10^-10 m has momentum twice than a photon of wavelength 6000 x 10^-10 m" is false.
The correct answer is: A photon of wavelength 3000 x 10^-10 m has same momentum as that of a photon of wavelength 6000 x 10^-10 m.