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While doing an experiment in light, Ima Dome finds that thelight emitted by his

ID: 687232 • Letter: W

Question

While doing an experiment in light, Ima Dome finds that thelight emitted by his sample has a frequency of 4.62 x 10^16 Hz.Help him by finding the following: a) the wavelenght of the light.
b) the energy of one photon of this light
c) the color light he would see if there were asufficient number of photons of this light available. d) Find the color of light whose photon has 4.75 x 10^-19 J of energy. Useful information you may need:
Red                                                                                    700- 650 nm Orange                                                                               649 - 580 nm Yellow                                                                                 579- 575 nm Green                                                                                  574- 490 nm Blue                                                                                    489- 455 nm Indigo                                                                                  454- 425 nm Violet                                                                                  424- 400 nm While doing an experiment in light, Ima Dome finds that thelight emitted by his sample has a frequency of 4.62 x 10^16 Hz.Help him by finding the following: a) the wavelenght of the light.
b) the energy of one photon of this light
c) the color light he would see if there were asufficient number of photons of this light available. d) Find the color of light whose photon has 4.75 x 10^-19 J of energy. Useful information you may need:
Red                                                                                    700- 650 nm Orange                                                                               649 - 580 nm Yellow                                                                                 579- 575 nm Green                                                                                  574- 490 nm Blue                                                                                    489- 455 nm Indigo                                                                                  454- 425 nm Violet                                                                                  424- 400 nm Useful information you may need:
Red                                                                                    700- 650 nm Orange                                                                               649 - 580 nm Yellow                                                                                 579- 575 nm Green                                                                                  574- 490 nm Blue                                                                                    489- 455 nm Indigo                                                                                  454- 425 nm Violet                                                                                  424- 400 nm

Explanation / Answer

frequency of 4.62 x 10^16 Hz. a) the wavelenght of the light.
v = c/ where v is the frequency of the light c is the speed of the light value = 3 x 108m/s is the wavelegth of the light so = c/v           = 3 x108 /4.62 x 10^16           =6.4935 x 10-9 m            =6.49 nm b) the energy of one photon of this light
energ of photon is given by = hv where h is the plancks constant value = 6.63 x10-34 J-s so energy of light =  6.63 x 10-34 * 4.62 x 10^16                           = 3.063 x 10-17J c) the color light he would see if there were asufficient number of photons of this light available. as the wavelength does not comes under any range ther will beno colour. d)color of light whose photon has 4.75 x 10 ^-19 J ofenergy. we know that energy of light is given by: hc/ so hc/ = 4.75 x 10 ^-19 = 6.63 x 10-34* 3 x 108 / 4.75 x10 ^-19     = 4.187 x 10-7 m     = 418.7 nm so, this wavelenght value lies in the region: Violet                                424- 400 nm so colour of the light is violet. Violet                                424- 400 nm so colour of the light is violet.