Final answer:
The magnification for the book when it is held 8.50 cm from the magnifier is 4.00, and the same magnification applies when it is held 9.50 cm from the magnifier. As the object distance increases, the magnification remains constant.
Step-by-step explanation:
The magnification of an object viewed through a lens is given by the formula: m = -di/do, where m is the magnification, di is the image distance, and do is the object distance. In Example 25.7, the magnification of a book held 7.50 cm from a 10.0 cm focal length lens was found to be 4.00.
To find the magnification when the book is held 8.50 cm from the magnifier, we can use the formula m = -di/do and rearrange it to find di: di = -m * do. Plugging in the given values, the magnification is 4.00 and the object distance is 8.50 cm, we can calculate that di = -4.00 * 8.50 cm = -34.00 cm.
Since the magnification is negative, it indicates that the image is virtual and upright. Therefore, the magnification for the book when it is held 8.50 cm from the magnifier is 4.00. Similarly, for the book held 9.50 cm from the magnifier, the magnification can be calculated using the same formula: di = -m * do.
Plugging in the given values, the magnification is 4.00 and the object distance is 9.50 cm, we can calculate that di = -4.00 * 9.50 cm = -38.00 cm. Again, the negative magnification indicates a virtual and upright image, so the magnification for the book when it is held 9.50 cm from the magnifier is also 4.00.
When we compare the magnifications for the book at two different object distances of 8.50 cm and 9.50 cm, we find that the magnification remains constant at 4.00. This suggests that as the object distance increases, the magnification does not change. The image formed by the lens remains the same size regardless of the distance of the object from the magnifier.