An object is placed 40 cm from a concave mirror of focal length 20 cm. The image formed is
(a) real, inverted and same in size
(b) real, inverted and smaller
(c) virtual, erect and larger
(d) virtual, erect and smaller
Here, in case of concave mirror
u=10 cm [u, is always negative]
v =?;m = - 3 [real image]
Now the magnification formula is
m= -v/u or -3= -(v/-10)
or , v = -30 cm.
Image will...
The image formed by a concave mirror is virtual, erect and larger only when the object is placed between the pole of the mirror and its principal focus. So correct...
Given, u=-10 cm, f=+15 cm,v=?
From mirror formula, 1/f=1/v+1/u
or 1/v=1/f=1/u
=1/v=1/15=1/(-10)=1/15+1/10=(2+3)/30
or v=30/5=+6 cm
That is image is formed at a distance of 6 cm from the mirror behind it. The image is erect...
(d) 15 cm behind the mirror.
EXPLANATION:
The option can be selected by suitable reasoning. In a convex mirror, the object at infinity has its image at the focus behind the mirror....