
The magnifying power of a simple microscope can be increased if we use an eyepiece of
A. Higher focal length
B. Smaller focal length
C. Higher diameter
D. Smaller diameter
Answer
524.7k+ views
Hint: We know that the eyepiece of the simple microscope is a biconvex lens. If an object is placed at the focus of the lens then the image is virtual and large in the size.
Complete step-by-step solution:
We know that in a simple microscope, the eyepiece is a biconvex lens. If \[D\] is the least distance of the distinct distance and \[F\] is the focal length of the convex lens then the magnifying power \[M\] of a simple microscope is given as-
$M = 1 + \dfrac{D}{F}$
From the above formula, it is clear that if the value of Focal length is decreased then the value of magnifying power is increased or vice-versa. So, if the focal length of the eyepiece decreased, then the magnifying power was increased.
Hence, the magnifying power of a simple microscope can be increased if we use an eyepiece of smaller focal length.
Therefore, option B is correct.
Additional Information: - Single microscope can be described as a device that uses a single lens for magnification. In a simple microscope single lens is used while in a compound microscope several lenses are used to enhance the magnification of an object. The simple microscope works on the principle in which a tiny object is placed within the focus of the lens then a virtual erect and magnified image of the object is formed which is at the least distance of distinct vision from the eye held close to the lens.
Note:- The simple microscope has a single lens which is biconvex. The compound microscope has multiple lenses. The object which is seen through the microscope should be placed within the focus of the eye piece.
Complete step-by-step solution:
We know that in a simple microscope, the eyepiece is a biconvex lens. If \[D\] is the least distance of the distinct distance and \[F\] is the focal length of the convex lens then the magnifying power \[M\] of a simple microscope is given as-
$M = 1 + \dfrac{D}{F}$
From the above formula, it is clear that if the value of Focal length is decreased then the value of magnifying power is increased or vice-versa. So, if the focal length of the eyepiece decreased, then the magnifying power was increased.
Hence, the magnifying power of a simple microscope can be increased if we use an eyepiece of smaller focal length.
Therefore, option B is correct.
Additional Information: - Single microscope can be described as a device that uses a single lens for magnification. In a simple microscope single lens is used while in a compound microscope several lenses are used to enhance the magnification of an object. The simple microscope works on the principle in which a tiny object is placed within the focus of the lens then a virtual erect and magnified image of the object is formed which is at the least distance of distinct vision from the eye held close to the lens.
Note:- The simple microscope has a single lens which is biconvex. The compound microscope has multiple lenses. The object which is seen through the microscope should be placed within the focus of the eye piece.
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