a Ray of light makes an angle of 10 with the horizontal and strikes a plane mirror which is inclined at angle x to the horizontal . The angle x for which the reflected Ray becomes vertical is?

The answer is 40°

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To find the angle x for which the reflected ray becomes vertical, we can use the law of reflection.

According to the law of reflection, the angle of incidence is equal to the angle of reflection.

In this scenario, the initial angle of incidence is given as 10 degrees with the horizontal. Let's denote this angle as i.

The angle between the incident ray and the normal to the mirror is denoted as angle of incidence, i.
The angle between the reflected ray and the normal to the mirror is denoted as the angle of reflection, r.

Since the reflected ray becomes vertical, the angle of reflection, r, will be 90 degrees.

Now, to calculate the angle x, we need to consider the angles of incidence and reflection with respect to the normal to the mirror.

Since the mirror is inclined at angle x to the horizontal, the angle between the mirror and the normal is (90 - x) degrees.

Using the law of reflection, we have:
i = r
10 = (90 - x)

Now we can solve for x:
90 - x = 10
x = 90 - 10
x = 80 degrees

So, the angle x for which the reflected ray becomes vertical is 80 degrees.