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An object is placed at a distance from an equiconvex lens such that the distance between the object and its real image is minimum. The focal length of the lens is . The value of is
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Important Questions on Geometric Optics
HARD
JEE Advanced
IMPORTANT
If the distances of an object and its virtual image from the focus of a convex lens of focal length are each, then is
HARD
JEE Advanced
IMPORTANT
When an object is at distance and from a lens, a real image and a virtual image is formed respectively having same magnification. The focal length of the lens is
EASY
JEE Advanced
IMPORTANT
A convex lens of focal length forms a real image three times larger than the object on a screen. Object and screen are moved until the image becomes twice the size of the object. If the shift of the object is . The shift of screen is
MEDIUM
JEE Advanced
IMPORTANT
In a plano-convex lens of the radius of curvature of the convex lens is . If the plane side is polished, the focal length will be (Refractive index )
MEDIUM
JEE Advanced
IMPORTANT
A thin rod of length lies along the axis of a concave mirror of focal length . One end of its magnified image touches an end of the rod. The length of the image is
MEDIUM
JEE Advanced
IMPORTANT
A concave mirror is placed at the bottom of an empty tank with face upwards and axis vertical. When sunlight falls normally on the mirror, it is focused at distance of from the mirror. If the tank filled with water upto a height of , then the sunlight will now get focused at
EASY
JEE Advanced
IMPORTANT
The graph shows part of variation of with change in for a concave mirror. Points plotted above the point on the curve are for values of
MEDIUM
JEE Advanced
IMPORTANT
The graph shows how the inverse of magnification produced by a convex thin lens varies with object distance . What was the focal length of the lens used?