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1. In the attachment
2. Given that Frequency of radiation = 4 *10^14 Hz = 4 *10^14 s^-1
We know that required formula is:
Wave length = Speed / Frequency
Wave number = 1/Wavelength
Therefore Wave number = - Frequency /
speed
Speed of light is 3 * 10^8 m/s
Wave number = 4 *10^14 / 3 * 10^8 = 1.33*
10^6 m^-1
Answer is 1.33 * 10^6 metre inverse
3. Answer:lambda=6000A
Frequency(f)=velocity(c)/lamba
F=speed of light/lambda
F=3x10^8/6000x10^-10
=0.5x 10^15 hz
F=5 x 10^14 hz
Energy=hf
h=Planck constant
=6.63x10^-34x5x10^-14
E=3.315x10^-47J
4. Let energy of radiation with wavelength 6000 A be E' and energy of radiation with wavelength 2000 A be E"
We have, Energy = hc / lamda
E' / E" = 2000 / 6000
= 1 / 3
E' : E" = 1:3
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