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Apoxyus
hey can someone give me the formulas and resoning behind finding focal length, magnitude of radius curvature, and other optic stuff. Thank you.
Formulas and reasoning behind finding focal length
- Thread starter Apoxyus
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The discussion centers on the formulas and reasoning for calculating focal length and radius of curvature in optics. The lens maker's equation is highlighted as a key formula for determining focal length, which relates the focal length to the radii of curvature of the lens surfaces and the refractive index of the lens material. A recommended resource is provided, featuring a Java applet tutorial that may aid in understanding these concepts. Users are encouraged to search for additional sites that explain the lens maker's equation and related optical principles. Understanding these formulas is essential for anyone studying optics.
Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
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...
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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