write the mirror formula write any 2 sigh conventions for reflection in spherical mirror
Answers
An object placed in front of a mirror generates an image. If light rays from the object falls on the mirror and are then reflected and converge to form an image, the image thus formed is a real image. If the reflected light rays do not converge but have to be extrapolated backwards to form an image, the image is called a virtual image.
However, in this page we will discuss about some of the mirror formula that is often taught and frequently used in various instances. As such, using ray diagrams, it is possible to determine the type of image formed, while using concave and convex mirrors, based on the distance of object from the mirror. To obtain exact information about the size and magnification of image, and the distance of the image from the spherical mirror, we can use the mirror formula
The Mirror Formula (also referred to as the mirror equation) gives us the relationship between the focal length (f), distance of object form the mirror (u) and the distance of image form the mirror (v). The mirror formula for a concave mirror is given below. The magnification image formed by a spherical mirror is given by height of image divided by height of object. The formula is given as:
1f=1v+1u
agnification produced by a spherical mirror gives the relative extent to which the image of an object is magnified with respect to the object size. It is expressed as the ratio of the height of the image to the height of the object. It is usually represented by the letter m. So,
or,
m=h1h2" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 19.04px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">m=h1h2m=h1h2
The magnification m is also related to the object distance (u) and image distance (v) and is given as
m=h1h2=−vu" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 19.04px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">m=h1h2=−vum=h1h2=−v
1/f= 1/v + 1/u
u always in negative
f of concave mirror always negative
f of convex mirror always inp positive