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A ball of mass m suspended from a rigid support by an inextensible massless string is released from a height h
above its lowest point. At its lowest point it collides elastically with a block of mass 2m at rest on a frictionless
surface. Neglect the dimensions of the ball and the block. After the collision the ball rises to a maximum height
of–

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KVPY Other Question

The potential energy of a point particle is given by the expression V (x) = –αx + β sin (x/γ). A dimensionless
combination of the constant α, β and γ is A cylindrical steel rod of length 0.10 m and thermal conductivity 50 W.m–1 K–1 is welded end to end to copper
rod of thermal conductivity 400 W.m–1. K–1 and of the same area of cross section but 0.20 m long. The free end of
the steel rod is maintained at 100º C and that of the copper and at 0º C. Assuming that the rods are perfectly
insulated from the surrounding, the temperature at the junction of the two rods