Diamond Ring in Front of a Convex Lens?

AI Thread Summary
A 1.5 cm high diamond ring is positioned 20 cm in front of a convex lens with a 30 cm radius of curvature. The focal length can be approximated using the lens maker's formula, assuming a double convex lens, leading to f = R/2. The user initially struggled with the problem due to the lack of information about the focal length. After clarification, it was revealed that the teacher intended to refer to a mirror instead of a lens, resolving the confusion. Understanding the correct optical element is essential for accurately determining the image position, size, and magnification.
itsgood819
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Homework Statement



A 1.5 cm high diamond ring is placed 20 cm in front of a convex lens whose radius of curvature is 30 cm.

a) What is the position and the size of the image?
b) What magnification does this lens have?

Homework Equations



1/f= 1/di + 1/do
m= -di/do or hi/ho

The Attempt at a Solution



the 20 cm is do, and the ho is 1.5 cm. Since it's a lens, I don't know the focal length. I tried using the 1/f= 1/di + 1/do, but I don't any variable besides the do.

How would I solve this problem? Help please, and thank you! Also, I'm new to this forum so my posting might look a bit weird.
 
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Is it a double convex lens with both sides having the same radius of curvature? If so, you can use the lens maker's formula to figure out the focal length.
 
Because, the index of refraction of the lens material is not given, I would assume that f=R/2.
 
thank you for your suggestions! it turns out that my teacher actually meant to put mirror instead of lens.
 
itsgood819 said:
it turns out that my teacher actually meant to put mirror instead of lens.
Aha! Now the problem makes sense. :wink:
 
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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