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Physics
Highly energetic electrons are bombarded on a target of an element containing 30 neutrons. The ratio of the radii of nucleus to that of Helium nucleus is (14)^1/3. Find (a) atomic number of the nucleus. (b) the frequency of K line of the X-ray produced. (R = 1.1 x 10⁷m^-1 amd c = 3 x 10⁸m/s)
Chemistry
Write the formulae of the following complexes : (i) Pentamminechlorocobalt (III) (ii) Lithium tetrahydroaluminate (III)
Mathematics
Let ABC be a triangle with incentre I and inradius r. Let D, E, F be the feet of the perpendiculars from I to the sides BC, CA and AB respectively. If r₁, r₂ and r₃ are the radii of circles inscribed in the quadrilaterals AFIE, BDIF and CEID respectively, prove that

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