KVPY Government Jobs Exams

A comet (assumed to be in an elliptical orbit around the sun) is at a distance of 0.4 AU from the sun at the
perihelion. If the time period of the comet is 125 years, what is the aphelion distance ? AU : Astronomical
Unit.
(A) 50 AU (B) 25 AU (C) 49.6 AU (D) 24.6 AU

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KVPY Other Question

A bead of mass m is attached to the mid-point of a taut, weightless string of length l and placed on a
frictionless horizontal table Under a small transverse displacement x, as shown, if the tension in the string is T, then the frequency of
oscillation is-
A charge +q is placed somewhere inside the cavity of a thick conducting spherical shell of inner radius R1
and outer radius R2. A charge – Q is placed at a distance r > R2 from the centre of the shell. Then the electric
field in the hollow cavity-
(A) depends on both +q and – Q (B) is zero
(C) is only that due to – Q (D) is only that due to +q