Concave & Convex Mirrors: Real/Virtual Images Explained

AI Thread Summary
Concave mirrors can produce both real and virtual images due to their ability to converge light rays, while convex mirrors only create virtual images because they diverge light rays. The change in image type for concave mirrors occurs as an object moves along the principal axis towards the vertex, affecting the paths of light rays and their reflections. This behavior is explained by the mirror equation 1/p + 1/q = 1/f, where p is the object distance, q is the image distance, and f is the focal length. The focal length of a concave mirror is half the radius of curvature (F = R/2), which helps in determining image characteristics. Understanding these principles clarifies the distinct functionalities of concave and convex mirrors in optics.
shorty_47_2000
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Why can concave mirrors produce a real or virtual image, but convex mirrors can produce only one virtual image??

As well, when an object is moved along the principal axis towards the vertex of a concave mirror, the image changes. Where exactly does this change occur and why? I know it has something to do with the paths of light rays and I think that it has something to do with how they are reflected, but if someone could clarify this for me it would be greatly appreciated!
 
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The Focal Length Of A Concave Mirror Is F = R/2

And You Can Use The Mirror Equation Is 1/p + 1/q = 1/f

Where Q = Image Distance And P = Object Distance
 
do you know of a website that can explain this equation better?
 
Why can concave mirrors produce a real or virtual image, but convex mirrors can produce only one virtual image??

Is this because that in convex mirrors parallel light rays come togeather crpssing at a dingle focal point whereas concave mirrors cause parallel light rays to spread appart so that they appear to emerge from the virtual focal point?
 
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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