1
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1

Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is __________ cm.

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2
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from P (midpoint of BC) to A is ______________ $$\times$$ 10$$-$$10 s. (Given, speed of light in vacuum = 3 $$\times$$ 108 m/s and cos30$$^\circ$$ = $${{\sqrt 3 } \over 2}$$)

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3
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown in the figure. Image of object coincides with the object.

When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be .............. (cm)
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4
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1 and n2 depend on $$\lambda$$, the wavelength of light, according to the relation

$${n_1} = 1.2 + {{10.8 \times {{10}^{ - 14}}} \over {{\lambda ^2}}}$$ and $${n_2} = 1.45 + {{1.8 \times {{10}^{ - 14}}} \over {{\lambda ^2}}}$$

The wavelength for which rays incident at any angle on the interface BC pass through without bending at that interface will be _____________ nm.

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