A convex lens of focal length 1.5m is placed in a system of coordinate axis such that its optical centre is at origin and principa, axis coinciding with the x-axis. An object and a plane mirror are arrange on theh principal axis as shown in figure. Find value of d (in m) so that y-coordinate of image (after refraction and reflection ) is 0.3m. (Take `tan theta=0.3)`

A convex lens of focal length 10 cm and a concave lens of same focal length in value are placed co-axially at a separation of 20 cm as shown in figure. A point object is at infinity on the principal axis. Take the optic center of convex lens as origin of co ordinate system and the principal axis as x-axis as shown in figure. The co-ordinates of the image formed after refraction through both the lenses is

A concave lens of focal length 20 cm is placed 15 cm in front of a concave mirror of radius of curvature 26 cm and further 10 cm away from the lens is placed an object. The principal axis of the lens and the mirror are coincident and the object is on the axis Find the position and nature of the image.

Two plane mirrors intersect at origin. An object 'O' is kept at a distance R on negative y-axis as shown in the figure. The co-ordinates of images formed after three reflections will be (first reflection is is considered at m_(1) )

Two plane mirrors intersect at origin. An object 'O' is kept at a distance R on negative y-axis as shown in the figure. The co-ordinates of images formed after three reflections will be (first reflection is is considered at m_(1) )

A thin convex lens of focal length 30 cm is placed in front of a plane mirror. An object is placed at a distance x from the lens (not in between lens and mirror ) so that its final image coincides with itself. Then, the value of x is

A thin convex lens of focal length 30 cm is placed in front of a plane mirror. An object is placed at a distance x from the lens (not in between lens and mirror ) so that its final image coincides with itself. Then, the value of x is