A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length f, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

Question

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length f, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Distance of point A is f/2 Let A' is the image of A from mirror, for this image (1/v) + (1/-(f)2) = (1/-f) (1/v) = (2/f) - (1/f) = (1/f) (f/f-u) = (h2/h1) h2 = (-f(f-x)/-f+x) h2 = f

Q. A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f$ , as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

Distance of point A is f/2
Let A' is the image of A from mirror, for this image
$\frac{1}{v} + \frac{1}{- \frac{f}{2}} = \frac{1}{- f}$
$\frac{1}{v} = \frac{2}{f} - \frac{1}{f} = \frac{1}{f}$
$\frac{f}{f - u} = \frac{h _{2}}{h _{1}}$
$h_{2} = \frac{- f ( f - x )}{- f + x}$
$h_{2} = f$

Q. A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length f, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

Distance of point A is f/2 Let A' is the image of A from mirror, for this image v1​+−2f​1​=−f1​ v1​=f2​−f1​=f1​ f−uf​=h1​h2​​ h2​=−f+x−f(f−x)​ h2​=f

Q. A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f$ , as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

Distance of point A is f/2
Let A' is the image of A from mirror, for this image
$\frac{1}{v} + \frac{1}{- \frac{f}{2}} = \frac{1}{- f}$
$\frac{1}{v} = \frac{2}{f} - \frac{1}{f} = \frac{1}{f}$
$\frac{f}{f - u} = \frac{h _{2}}{h _{1}}$
$h_{2} = \frac{- f ( f - x )}{- f + x}$
$h_{2} = f$