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In figure shown, left arm of a U-tube is immersed in a hot water bath at temperature T, and right arm is immersed in a bath of melting ice, the height of manometric liquid in respective columns is hr and ho Determine the coefficient of expansion of the liquid. Water at melting ice 0

(b) r h,T 1 (c) h h hoT 0 0 h., T 0

Since the liquid is in hydrostatic equilibrium, Pono hr Also, Vr = V0(1 +YI) 0 From (i) and (ii), we get hr = ho(1 +YT). which on solving for y, we get hoT

A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet, such that B is in plane of the coil. If due to a current I in the triangle,

a torque acts on it, the side 1 of the triangle is 1/2 (BI) 2(-t (a) (b) 3 BI

Area of equilateral triangle, I I sin 60 2 3 ,2 4 A-_ 2 x Base x Height = = 1/2 4.

A body is moving up an inclined plane of angle with an initial kinetic energy K. The coefficient of friction between the plane and thef re t e ho.lThe work done against friction before the body comes to rest is (a) Kcos + sin (b) LK cos UK cos cos + sin cos cos -sin (d)

Let the distance travelled by the body on tne inclined plane be h. From the free body diagram shown in figure R ng sin