A carpet lying on ground has length L, width a and a small thickness d. It is rolled over a light L cylindrical pipe of radius r = 100/T and kept on a level ground. Increase in gravitational potential energy of the carpet is AU, (compared to its initial position when it was lying flat). In another experiment the carpet was folded to give it a shape of a cuboid (see figure) having width b. When this is placed on level ground its gravitational potential energy is AU, higher than its initial position (flat on ground). It is given that d = 104 L. Find b for which AU, = AU2. [Take TC = 1.25] 2

A carpet lying on ground has length L, width a and a small thickness d. It is rolled over a light L cylindrical pipe of radius r = 100/T and kept on a level ground. Increase in gravitational potential energy of the carpet is AU, (compared to its initial position when it was lying flat). In another experiment the carpet was folded to give it a shape of a cuboid (see figure) having width b. When this is placed on level ground its gravitational potential energy is AU, higher than its initial position (flat on ground). It is given that d = 104 L. Find b for which AU, = AU2. [Take TC = 1.25] 2