Question #e60d6

2 Answers
Jan 30, 2018

#8.22*10^14# #"Hz"# or #"/s"#.

Explanation:

To find the frequency, we'll need to use this equation:

#c=lambda*nu#, where
#lambda# is the wavelength, #nu# is the frequency, and #c# is the speed of light at #3.0*10^8# #"m/s"#.

We already know both the speed of light, which is a constant, and the frequency, which had been given to us in the question. So, just plug the values in and solve for #nu#!

#c=lambda*nu#
#3.0*10^8 "m/s" = 3.65*10^-7"m"*nu#
#nu = (3.0*10^8 "m/s")/(3.65*10^-7"m") = 8.2191 * 10^14# #"Hz"#

#3# significant figures were given in the question, so our answer would be #8.22*10^14# #"Hz"#

Jan 30, 2018

Please see the step process below;

Explanation:

#c = flambda#

Where;

#c = 3 xx 10^8ms^-1# (Is constant for all electromagnetic wave)

#lambda = 3.65 xx 10^-7m# (wave length)

#f = ?# (frequency)

#c = flambda#

Making #f# the subject formula..

#f= c/lambda#

Substituting the parameters..

#f = (3 xx 10^8)/(3.65 xx 10^-7)#

#f = 3/(3.65) xx 10^(8-(-7))#

#f = 0.8219 xx 10^(8+7)#

#f = 0.8219 xx 10^15#

#f = 8.22 xx10^14Hz#