A small block of mass m is kept on the inclined surface of a wedge of mass M. The inclined surface of the wedge makes an angle `theta` with the horizontal. The wedge is kept on a frictionless rigid horizontal floor. You can neglect friction between the block and the wedge also. An external agent applies a horizontal force F on the wedge.

The value of the force F so that the wedge remains at rest is `F_(1)`. Which of the options is incorrect?

Options

A. `F_(4) = F_(1)`
B. `F_(4) = F_(2)`
C. `F_(4) = F_(2)`
D. `F_(4)` depends on `mu_(s)`

Answer

B

Explanation

For `F_(4) = F_(1)`, there will be no tendency of relative motion and hence friction is zero.