Reflection Of Light By Spherical Mirrors

The correct answer is 150
Refraction Calculations

Refraction Calculations

Step 1: Refraction on M1

The equation for refraction on M1 is given by:

Solving for :

Thus, we get:

This gives the value of as 60.

Step 2: Refraction from L

The equation for refraction from L is:

Solving for :

Thus, we get:

This gives the value of as .

Step 3: Focus of M2

The object is at the focus of M2. So, the equation becomes:

Solving for :

Thus, we get:

Conclusion:

The value of is found to be 150.

Step 1: Calculate for P

Given and ,

From the above equation, .

Thus, for P.

Step 2: Calculate for Q

Given and ,

For :

Step 3: Calculate for R

Given and , using Snell’s law:

Solving gives or .

Step 4: Calculate for S

Given and :

The total angle is:

Conclusion

Based on the calculations:

• P → 5
• Q → 2
• R → 1
• S → 4

Final Answer:

The correct option is (A).