Physics

Physics

Problem

Parallel rays will converge at the focus. Figure shows an equiconvex lens (of refractive index 1.50) in contact with a liquid layer on top of a plane mirror. A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle. The distance of the needle from the lens is measured to be 60.0 cm. The liquid is removed and the experiment is repeated. The new distance is measured to be 40.0 cm. What is the refractive index of the liquid? ![Ray diagram illustrating the setup. A vertical object (needle) is placed on the principal axis. Rays diverge from the object, pass through a lens, reflect off a plane mirror below, and retrace their path back to the object position, forming an inverted image at the object location. Points Q and Q' are marked on the principal axis.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/8089542e429f44ecbb96569adc0669ac/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

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