Statement - 1 : A block of mass `m` starts moving an a rough horizental surface with `x` velocity `x` it step dus to friction between the block and the surface is now tihed in an angles a cormin distance . The surface is now tilted is an angle on the `30^(@)` with the inrizonal and the same block is to go up on the surface with the same inital velocity `x` .THe decrease in the mechanical energy is the second situation is smailar then the that the first situation
Statment -2 : The coeifficient of friction between the block and the surface dicreases with the increses in the angle of inclimation .

Options

A. Statement-I is True, Statement-II is True and Statement-II is a correct explanation for Statement-I.
B. Statement-I is True, Statement-II is True and Statement-II is NOT a correct explanation for Statement-I.
C. Statement-I is True, Statement-II is False.
D. Statement-I is False, Statement-II is True

Answer

C

Explanation

Decrease in mechanical energy in case I will be, `DeltaU_1 = 1/2 mv^2`
But decrease in mechanical energy in case II will be `Delta U_2 = 1/2 mv^2 - mgh " ":. `
`DeltaU_2 < Delta U_1`
Hence, Statement-I is correct. Moreover, Statement-II is wrong. Therefore, option(c) is correct.