Answer :

Concepts/Formulas used:


The lens equation:


The lens formula is:
where f is the focal length, u is the object distance and v is the image distance. All quantities are measured with the cartesian sign convention (the sign convention in NCERT).



We have,


To find the image position, we can take the


Object distance,
Focal length,


Using the lens equation,



(As the object distance is very much larger than the focal length, we can take it as infinity)




Now,


The objective lens forms the image of the moon.


Diameter of the moon/Height of the object .


Let the diameter of the image be


We know that,





The negative sign indicates that the image is inverted. Hence, the diameter of the image of the moon is 13.7 cm.


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