Resolvant Power of a Dİffraction Grating

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The resolvent power (R) of a diffraction grating is defined by the equation R = Δλ/λ, where Δλ is the change in wavelength and λ is the wavelength. The relationship also involves the number of slits (N) in the grating, indicating that R is proportional to N. A discussion participant references the equation a sin(θ)(Δθ) = mΔλ but expresses difficulty in applying it. They seek further clarification or assistance on this topic, indicating a need for more detailed explanations. The conversation highlights the complexities involved in understanding diffraction grating and its resolvent power.
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Homework Statement


What is the resolvent power (R) of a diffraction grating?


Homework Equations


R=(Δλ)/λ
asin(θ)=mλ

The Attempt at a Solution


as we all know answer is Nm here N is the number of slits
there is something starting with
a sin(θ)(Δθ)=mΔλ but it gets stuck
 
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http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/gratres.html"
 
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i had checked that but it is not much satisfying
 
come on guys its been a long time, not anyone?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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