Solve Lensmaker Formula for Index of Refraction with Focal Length of 7.3cm

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To find the index of refraction for a double concave lens with a focal length of 7.3 cm, the lensmaker's formula is applied. The radius of curvature is calculated as twice the focal length, resulting in a radius of 14.6 cm. Using the formula 1/f = (n-1)(1/R1 - 1/R2), the index of refraction is determined. The calculated index of refraction is 2, which appears to be correct based on the provided values. The solution effectively demonstrates the application of the lensmaker's law.
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Homework Statement


a focal length of 7.3cm for a double concave lens, find the index of refraction using lensmaker law and the radius which can be found using the following equations.


Homework Equations


focal length is 7.3 find radius focal length x 2=radius. Lens maker formula
1/f=(n-1)(1/R1-1/R2)


The Attempt at a Solution



I got 2 for the index of refraction
 
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Looks good to me.
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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