Ray Optics and ...

At what angle will a ray of light be inclined on one face of an equilateral prism, so that the emergen ray may graze the second surface of the prism $$\left( {\mu  = 2} \right)$$

A thin equiconvex glass lens of refractive index $$1.5$$ has power of $$5D$$. When the lens is immersed in a liquid of refractive index $$\mu$$, it acts as a divergent lens of focal length $$100 \,cm$$. The value of $$\mu$$ of liquid is

A transparent cube contains a small air bubble. Its apparent is $$2\ cm$$ when seen through one face and $$5\ cm$$ when seen through other face. If the refractive index of the material of the cube is $$1.5$$, the real length of the edge of cube must be

Two plano concave lenses of glass of refractive index 1.5 have radii of curvature 20 cm and 30 cm respectively. They are placed in contact with the curved surface towards each other and the space between them is filled with a liquid of refractive index 5/2. The focal length of the combination is (in cm)

A ball of negligible dimensions is drowned till an apparent measured depth of 15 m in a lake. What is the depth of the lake?

A double convex lens $$( \mu = 1.5 )$$ in air has its focal length equal to $$20\ cm$$. When immersed in water $$( \mu = 4 / 3 )$$ its focal length will be 

The angle of a prism is $$6^0$$ and its refractive index for green light is 1.5. If a green ray passes through it, the deviation will be :-

A diverging meniscus lens has a focal length of -20 cm. If the lens is held 10 cm from the object, the magnification is :

Given that, velocity of light in quartz $$ = 1.5 \times {10^8}m/s$$ and velocity of light in glycerin $$ = \left( {\dfrac{9}{4}} \right) \times {10^8}m/s$$ Now a slab made of quartz is placed in glycerin as shown . The shift of the object produced by slab is :

An angular magnification ( magnifying power ) of 30X is desired using an object 1.25 cm and an eyepiece of focal length 5 cm. If compound microscope is to be set up then the separation between the objective lens and the eyepiece.