A particle of mass M moves along a horizontal x axis from x=0 to x=L . The coefficient of kinetic friction varies as a function of x as k(x)= 0- x , where 0, are constants of appropriate dimensions, so that k(L)=0 . The total work done by the frictional force during the motion is n 0MgL , where g is the acceleration due to gravity. The value of n is:

1. A. 3
2. B. 1
3. C. 1 3
4. D. 1 2

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