1
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1

In the given figure, the face $$A C$$ of the equilateral prism is immersed in a liquid of refractive index '$$n$$'. For incident angle $$60^{\circ}$$ at the side $$A C$$, the refracteel light beam just grazes along face $$A C$$. The refractive index of the liquid $$n=\frac{\sqrt{x}}{4}$$. The value of $$x$$ is ____________.

(Given refractive index of glass $$=1.5$$ )

2
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

The graph between $$\frac{1}{u}$$ and $$\frac{1}{v}$$ for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is $$1.5$$ and its both the surfaces have same radius of curvature $$R$$. The value of $$R$$ will be ____________ $$\mathrm{cm} .$$ (where $$u=$$ object distance, $$v=$$ image distance)

3
JEE Main 2022 (Online) 25th July Evening Shift
Numerical
+4
-1

A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is ____________ cm.

4
JEE Main 2022 (Online) 30th June Morning Shift
Numerical
+4
-1

The refractive index of an equilateral prism is $$\sqrt 2$$. The angle of emergence under minimum deviation position of prism, in degree, is ___________.

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