$A$ ray of light enters from air into water. Which of the following figures shows the dispersion of light?

  • A
    Option A
  • B
    Option B
  • C
    Option C
  • D
    Option D

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The curvature radii of a concavo-convex glass lens are $20\, cm$ and $60\, cm$. The convex surface of the lens is silvered. With the lens horizontal,the concave surface is filled with water. The focal length of the effective mirror is $(\mu_{\text{glass}} = 1.5, \mu_{\text{water}} = 4/3)$.

In a laboratory,a material is created with a negative refractive index. $A$ light ray enters from medium $1$ into this material (medium $2$). Which of the following diagrams correctly represents the path of the ray?

In a movie hall,the distance between the projector and the screen is increased by $1\%$. The illumination on the screen is:

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An object is placed in front of a convex mirror at a distance of $50\, cm$. $A$ plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is $30\, cm$,it is found that there is no parallax between the images formed by the two mirrors. The radius of curvature of the convex mirror will be......$cm$.

Match List $I$ with List $II$ and select the correct answer using the codes given below the lists:
List $I$ (Position of the object) List $II$ (Magnification)
$(I)$ An object is placed at focus before a convex mirror $(A)$ Magnification is $-\infty$
$(II)$ An object is placed at centre of curvature before a concave mirror $(B)$ Magnification is $0.5$
$(III)$ An object is placed at focus before a concave mirror $(C)$ Magnification is $+1$
$(IV)$ An object is placed at centre of curvature before a convex mirror $(D)$ Magnification is $-1$
$(E)$ Magnification is $0.33$

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