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A broad vessel, with a square base of edga s = 10 cm is saperated into two halves A and B, by a smooth vertical piston. A spring of spring constant k =1500 N//m is filled across the compertment A and the compertment B is filled with water to a height 20 cm. Find the compression in the spring. A. 1.3 cmB. 2.1 cmC. 3.9 cmD. 0.07 cm |
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Answer» Correct Answer - A (a) The force exerted on the spring, via the piston be water = (pressure at centroid of the pistion) xx (area of the pistion) `=(rho g (h)/(2)) ((ah))` `F = 1 xx 1000 xx (20^2)/(2) xx10 = 2 xx 10^5 dyne` Now, if x cm be the comperession of the spring Then for equilibrium F = Kx. ` 2 xx 10^6 = 1500 xx 10^3 (dyne)/(cm) xx x cm` x = 20//15 =1.3 cm |
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