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Physics

Two particles, each of mass m and charge q, are attached to the two ends of a light rigid rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod is

(a)

(b)

(c)

(d)

Chemistry

Using VSEPR theory, draw the shape of PCl₅ and BrF₅.

Mathematics

If

be a repeated root of a quadratic equation f(x) = 0 and A(x), B(x) and C(x) be polynomials of degree 3, 4 and 5 respectively, then show that

is divisible by f (x), where prime denotes the derivatives.

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