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Physics

An insect crawls up a hemispherical surface very slowly as shown in below figure. The coefficient of friction between the insect and the surface is 1/3. If the line joining the center of the hemispherical surface to the insect makes an angle with the vertical, the maximum possible value of is given by

(a) cot

= 3 (b) tan

= 3 (c) sec

= 3 (d) cosec

= 3

Chemistry

The correct order of second ionization potential of carbon, nitrogen, oxygen and fluorine is

(a) C>N>O>F (b) O>N>F>C (c) O>F>N>C (d) F>O>N>C

Mathematics

Let a be a factor of 120, then the number of positive integral solutions of x₁x₂x₃ = a is

(a) 160 (b) 320 (c) 480 (d) 960

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