IIT-JEE Exam

A large glass slab (μ = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is
seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What is the
value of R ?

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IIT-JEE Other Question

A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating
in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire
is 50 N and the speed of sound is 320 ms–1, the mass of the string is
(A) 5 grams (B) 10 grams
(C) 20 grams (D) 40 grams. Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is
observed to move from 25/3m to 50/7 m
in 30 seconds. What is the speed of the object in km per hour ?