What is the frequency of light with a wavelength of 7.245×10−7 m in glass?

AI Thread Summary
The discussion revolves around calculating the frequency of light with a wavelength of 7.245×10−7 m in glass, given its index of refraction. The index of refraction for this wavelength is noted as 1.44. A participant calculated the frequency to be 5.03125e-7 Hz but expressed confusion about the accuracy of this result. Another participant requested the original calculation to verify its correctness. The conversation highlights the importance of ensuring calculations align with the physics principles involved.
elitepro
Messages
5
Reaction score
0

Homework Statement


The glass prism has an index of refraction
that depends on the wavelength of the light
that enters it. The index of refraction is
1.44 for light of wavelength 7.245 × 10−7 m
in a vacuum and 1.79 for light of wavelength
4.433 × 10−7 m in vacuum. A beam of white
light is incident from the left, perpendicular
to the first surface, as shown in the figure,
and is dispersed by the prism into its spectral
components.

Determine the frequency of the 7.245×10−7 m
light in the glass.
Answer in units of Hz

Homework Equations


c = λf

The Attempt at a Solution


Alright so I calculated the frequency to be 5.03125e-7 (this is correct),
so I just plugged this into the formula 3*10^8/5.03125e-7 and got 5.96*10^14 m
I thought I did this correctly. Did I do something silly?
 
Last edited:
Physics news on Phys.org
elitepro said:
Alright so I calculated the frequency to be 5.03125e-7 (this is correct),
I don't see how it can be. How do you know it is right? Please post your calculation.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top