Ray Optics and ...

When a plane mirror AB is placed horizontally on level ground at a distance of 60 metres from the foot of a tower, the top of the tower and its image in the mirror subtends, an angle of 90° at B. The height of the tower is:

A unnumbered wall clock shows time 04 : 25 : 37, where 1st term represents hours, 2nd represents minutes & the last term represents seconds, What time will its image in a plane mirror show.

Two plane mirrors of length L are separated by distance L and a man M₂ is standing at distance L from the connecting line of mirrors as shown in figure. A man M₁ is walking in a straight line at distance 2L parallel to mirrors at speed u, then man M₂ at O will be able to see image of M₁ for total time :

A person is standing in a room of width 200 cm. A plane mirror of vertical length 10 cm is fixed on a wall in front of the person. The person looks into the mirror from distance 50 cm. How much width (height) of the wall behind him will he be able to see : (assume that he uses the full mirror)

Variation of focal length to form a sharp image on retina is called

Which of the following cannot form real image of a real object ?

 A transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.

If x = 2R, then the value of m is

 A transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.

If x = ∞, then the value of m is

 A transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface.

If an object is placed at a distance R from the pole of first surface, then the real image is formed at a distance R from the pole of the second surface. The refractive index m of the sphere is given by

Column -II shows the optical phenomenon that can be associated with optical components given in column-I. Note that column-I may have more than one matching options in column-II.

Statement-I : If a source of light is placed in front of rough wall its image is not seen.

Statement-II : The wall does not reflect light.

Statement-I : As the distance x of a parallel ray from axis increases, focal length decreases

Statement-II : As x increases, the distance from pole to the point of intersection of reflected ray with principal axis decreases

Statement-I : When an object dipped in a liquid is viewed normally, the distance between the image and the object is indepedent of the height of the liquid above the object.

Statement-II : The normal shift is independent of the location of the slab between the object and the observer.

Statement-I : When two plane mirrors are kept perpendicular to each other as shown ( O si the point object), 3 image will be formed.

Statement-II : In case of multiple reflection, image of one surface can act as an object for the next surface.

Statement-I : A piece of paper placed at the position of a real image of a virtual object of intense light will burn after sufficient time.

Statement-II : A virtual object is that point where the incident rays appear to converge and a real image is that point at which reflected/ refracted rays actually converge.