calculate the value of an Einstein corresponding to radiation of 6000angstrom wavelength
Answers
Explanation:
v=cλ
c=3×108ms−1,λ=6000Å=6000×10−
v=3×108ms−16000×10−10m=5×104s−1
h=6.625×10−34Js,v=5×1014s−1
E=6.625×10−34Js×5×1014s−1=3.3125
Question - Calculate the frequency and energy of a photon of radiation having a wavelength 6000 angstrom
Given - Wavelength
Find - Frequency and energy
Solution - Frequency is 5*10¹⁶ centimetres/second and energy is 33*10-¹¹ erg.
The formula to calculate frequency and energy is - E = hf
Further, frequency is given by the formula -
c = f * wavelength
We know, the speed of light or c is 3*10⁸ m/s.
Wavelength in metres = 6*10-⁷ metres or 6*10-⁸ centimetres
Frequency = 3*10⁸/(6*10-⁷)
Frequency = 5*10¹⁴ metre/second or 5*10¹⁶ centimetres/second
The value of h is 6.6*10-²⁷ erg sec
E = h*f
E = 6.6*10-²⁷*5*10¹⁶
E = 33*10-¹¹ erg
Thus, frequency is 5*10¹⁶ centimetres/second and energy is 33*10-¹¹ erg.