KVPY Government Jobs Exams

On a bright sunny day a diver of height h stands at the bottom of a lake of depth H. Looking upward, he can see
objects outside the lake in a circular region of radius R. Beyond this circle he sees the image of objects lying on
the floor of the lake. If refractive index of water is 4/3, then the value of R is

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KVPY Other Question

Consider three concentric metallic spheres A, B and C of radii a, b, c respectively where a < b < c, A and B are
connected whereas C is grounded. The potential of the middle sphere B is raised to V then the charge on the sphere
C is– A standing wave in a pipe with a length L = 1.2 m is described by
y (x,t)= y0 sin [(2π/L)x] sin [(2π/L)x + π/4]
Based on above information, which one of the following statements is incorrect.
(Speed of sound in air is 300 m s–1)–
(A) The pipe is closed at both ends
(B) The wavelength of the wave could be 1.2 m
(C) There could be a node at x = 0 and antinode at x = L/2
(D) The frequency of the fundamental mode of vibrations is 137.5 Hz