Question

A mosquito O is sitting in front of a glass rod having a spherical end of radius of curvature 40 cm. The image would be formed at: 

• A. 40 cm left
• B. infinity
• C. 20 cm to the right
• D. 15 cm to the left

Hint:

When working with spherical mirrors, use the mirror formula to find the image location. The radius of curvature is related to the focal length by \( f = \frac{R}{2} \), and distances should be considered with appropriate signs based on the object's position.

Answer 1

The Correct Option is A

As we know, \[ \frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2 - \mu_1}{R} \] Substituting the values: \[ \frac{1.5}{v} - \frac{1}{(-20)} = \frac{1.5 - 1}{+40} \] \[ \Rightarrow v = -40 { cm} \] Conclusion: Negative sign shows that the image is obtained on the same side of the object, i.e., towards the left.