(C) Given: Object distance $u = -18 \ cm$ (in front of the mirror).Image distance $v = +4 \ cm$ (on the other side of the mirror).Using the mirror for

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$5.14 \ cm$,convex mirror and virtual image

(C) Given: Object distance $u = -18 \ cm$ (in front of the mirror).Image distance $v = +4 \ cm$ (on the other side of the mirror).Using the mirror formula: $\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$.Substituting the values: $\frac{1}{f} = \frac{1}{4} + \frac{1}{-18} = \frac{9 - 2}{36} = \frac{7}{36}$.Therefore,$f = \frac{36}{7} \ cm \approx 5.14 \ cm$.Since the focal length $f$ is positive,the mirror is a convex mirror.Since the image is formed on the other side of the mirror,it is a virtual image.

Class 12 Physics Ray Optics and Optical Instruments Spherical Mirror

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An object is placed at a distance of $18 \ cm$ in front of a mirror. If the image is formed at a distance of $4 \ cm$ on the other side,then the focal length,nature of the mirror,and nature of the image are respectively:

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$3.14 \ cm$,concave mirror and real image
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$3.14 \ cm$,convex mirror and real image
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$5.14 \ cm$,convex mirror and virtual image
D
$5.14 \ cm$,concave mirror and virtual image

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Ray Optics and Optical Instruments

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Spherical Mirror

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DifficultJEE MAIN 2015

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$A$ ray of light is incident on a convex mirror along a vector $3\hat i + 4\hat j + 12\hat k$. The normal to the convex mirror at the point of incidence is along $3\hat i + 4\hat j$. The unit vector along the reflected ray is:

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An object is placed at a distance of $18 \ cm$ in front of a mirror. If the image is formed at a distance of $4 \ cm$ on the other side,then the focal length,nature of the mirror,and nature of the image are respectively:

Similar Questions

$A$ concave mirror of focal length $10$ cm forms an image which is double the size of the object when the object is placed at two different positions. The distance between the two positions of the object is . . . . . . cm.

$A$ concave mirror forms a real image three times larger than the object on a screen. The object and screen are moved until the image becomes twice the size of the object. If the shift of the object is $6 \ cm$,find the shift of the screen and the focal length of the mirror.

$A$ person wants a real image of his own,$3$ times enlarged. Where should he stand in front of a concave mirror of radius of curvature $30 \ cm$ (in $cm$)?

You are asked to design a shaving mirror assuming that a person keeps it $10\,cm$ from his face and views the magnified image of the face at the closest comfortable distance of $25\,cm$. The radius of curvature of the mirror would then be.....$cm$.

$A$ ray of light is incident on a convex mirror along a vector $3\hat i + 4\hat j + 12\hat k$. The normal to the convex mirror at the point of incidence is along $3\hat i + 4\hat j$. The unit vector along the reflected ray is:

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