Daily Question Banks for Engineering Entrance and Board Exams

Questions

Physics

A 0.5 kg block slides from point A on a horizontal track with an initial speed of 3 ms-1 towards a weightless spring of length 1 m and having a force constant 2 Nm-1. The part AB of the track is frictionless and the part BC has coefficients of static and kinetic friction as 0.22 and 0.20 respectively. If the distances AB and BD are 2 m and 2.14 m respectively, find the total distance through which the block moves before it comes to rest completely. (Take g = 10 ms-2).

Chemistry

A metal chloride X shows the following reactions.
(i) When H2S is passed in an acidified aqueous solution of X, a black precipitate is obtained.
(ii) The precipitate obtained in step (i) is not soluble in yellow ammonium sulphide.
(iii) When a solution of stannous chloride is added to an aqueous solution of X a white precipitate is obtained which turns grey on addition of more of stannous chloride.
(iv) When an aqueous solution of KI is added to an aqueous of X a red precipitate is obtained which dissolves on addition of excess of KI.
Identify X and give the chemical equations involved in steps (i), (iii) and (iv).

Mathematics

The curve described parametrically by x = t2 + t + 1, y = t2 - t + 1, represents
(a) a pair of straight lines (b) an ellipse
(c) a parabola (d) a hyperbola
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