a) The magnification when the final image is at infinity is zero. b) The magnification when the final image is at the near point is approximately 0.0238.
Step-by-step explanation:
a) To find the magnification when the final image is at infinity, we can use the formula: m = -rac{d_i}{d_o}, where m is the magnification, d_i is the image distance, and d_o is the object distance. Since the final image is at infinity, d_i becomes infinite, making the magnification zero. So, the magnification when the final image is at infinity is zero.
b) To find the magnification when the final image is at the near point, we can use the same formula. However, we need to consider the focal length of the magnifier. The formula becomes: m = rac{d_i}{d_o - f}, where f is the focal length. Plugging in the values (d_o = 32 cm and f = rac{1}{25} m^{-1}), we get m = rac{1}{32 - rac{1}{25}}. Calculating this, we find that the magnification when the final image is at the near point is approximately 0.0238.
The probable question can be: Jack has a near point of 32 cm and uses a magnifier of 25 diopter. a) What is the magnification if the final image is at infinity? b) What is the magnification if the final image is at the near point?