Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B...

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Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M. Block A is given an initial speed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically 5/6^th of the initial kinetic energy is lost in whole process.
What is value of M / m ?
(a) 5
(b) 2
(c) 3

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