Please help on any problem. Thank you. Practice with Light and Energy and the Na

Question

Please help on any problem. Thank you. Practice with Light and Energy and the Nature of Matter 1. WBBM operates at a frequency of 780 kHz. What wavelength corresponds to this frequency? 2. Calculate the energy of a photon of light having wavelength of 625 nm. 3. Calculate the mass of an electron traveling at 1.0 x 107m/s whose wavelength is 727 nm. 4. Calculate the velocity of a neutron (m 1.67 x 1027 kg) whose wavelength is 75 pm (1 pm 1012 m) 5. Photosynthesis uses 660 nm light to convert CO2 and H2O into glucose and O2. Calculate the frequency of this light.

Explanation / Answer

ans 1

? = c/f

where ,

? = 3x108 / 480000 = 625 m

? = 625m

ans 2

E = hc / ?

where

E is the energy in Joules,

h is Planck's constant (h = 6.626x10-34 J s),

c, the speed of light, is 3.0x108 m s-1

E= 6.626x10-34 x 3.0x108 / 625x10-9 = 3.18x10-19 J

E= 3.18x10-19 J

ans 3

? = h/mv

727x10-9 = 6.626x10-34 / (m x 1x107 )

m = 9.114x10-35 kg

ans 4

? = h/mv

75x10-12 = 6.626x10-34 / (1.67x10-27 x v)

v = 5.29x103 m/s

ans 5

f = c/? =  3x108 / 660x10-9 = 4.55x1014 Hz

f = 4.55x1014 Hz

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