rl.bhat said:angular size of the object αo = h/33. The angular size is given. Find the linear size h of the object.
Focal length of the glass and the image distance from the magnifying glass is given. From that find the object distance so
The angular size of the image = h/so.
In this problem size of the image is irrelevant. You have to bring the object closer to the eye to make its angular size larger to see its details clearly. Because of the limitation of the accommodation of the eye, we cannot see the object clearly. To see the object in the same position, we have to use magnifying glass which forms its image at near point.ideasrule said:To clarify, height of image/distance of image (which you want to find) = height of object/distance of object. This can easily be seen with a ray diagram.
To calculate the angular size of an image with a magnifying glass, you need to know the magnification of the magnifying glass and the distance between the lens and the object. You can then use the formula: Angular Size = Magnification * Object Size / Distance to Lens. This will give you the angular size in radians.
The magnification of a magnifying glass is the ratio of the image size to the object size. In other words, it is the number of times the image appears larger than the actual object. This can be calculated by dividing the distance between the lens and object by the distance between the lens and the eye.
Yes, the angular size of an image can be larger than the object's actual size. This is due to the magnifying effect of the lens, which makes the image appear larger than it actually is. However, the angular size of the image will always be smaller than the actual size of the lens itself.
The distance between the lens and object has a direct impact on the angular size of the image. As the distance increases, the angular size decreases. This is because the magnifying effect of the lens becomes weaker as the distance between the lens and object increases.
Angular size is typically measured in degrees, minutes, and seconds, or in radians. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. One radian is equal to approximately 57.3 degrees. When using the formula for calculating angular size, it is important to use consistent units throughout the calculation.