(B) For a convex mirror,the magnification $m$ is given by $m = -v/u$. Given that the image size is one-third of the object size,$m = 1/3$.Since $m = -

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(B) For a convex mirror,the magnification $m$ is given by $m = -v/u$. Given that the image size is one-third of the object size,$m = 1/3$.Since $m = -v/u = 1/3$,we have $u = -3v$.The mirror formula is $1/f = 1/v + 1/u$.Given $f = +12 \, cm$ (for a convex mirror),we substitute the values: $1/12 = 1/v + 1/(-3v)$.$1/12 = (3 - 1) / 3v = 2 / 3v$.$3v = 24$,which gives $v = +8 \, cm$.$A$ positive value for $v$ indicates that the image is formed $8 \, cm$ behind the mirror.

Class 10 Science Light – Reflection and Refraction Mix Examples - Light – Reflection and Refraction

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The image formed by a convex mirror is only one-third of the size of the object. If the focal length of the mirror is $12 \, cm$,the image formed will be

A
$10 \, cm$ behind the mirror
B
$8 \, cm$ behind the mirror
C
$8 \, cm$ in front of the mirror
D
$10 \, cm$ in front of the mirror

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Light – Reflection and Refraction

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Mix Examples - Light – Reflection and Refraction

Define power of a lens. What is its unit? One student uses a lens of focal length $50\, cm$ and another of $-50\, cm$. What is the nature of the lens and its power used by each of them?

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Refractive indices of kerosene,turpentine,and water are $1.44$,$1.47$,and $1.33$ respectively. Through which of these media does light travel the fastest? Why?

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The refractive indices of turpentine oil,kerosene,and alcohol are $1.47, 1.44$,and $1.36$ respectively. Based on this information,complete the following ray diagrams to show the path of a ray of light through each medium. (Give a reason for your answer.)

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You are given a convex lens of focal length $10\, cm$. Where would you place an object to get a real,inverted and highly enlarged image of the object? Draw a ray diagram.

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The velocity of light in air is $3 \times 10^{8} \, m \, s^{-1}$. What is the velocity of light in water? (The absolute refractive index of water is $\frac{4}{3}$.)

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The image formed by a convex mirror is only one-third of the size of the object. If the focal length of the mirror is $12 \, cm$,the image formed will be

Similar Questions

Define power of a lens. What is its unit? One student uses a lens of focal length $50\, cm$ and another of $-50\, cm$. What is the nature of the lens and its power used by each of them?

Refractive indices of kerosene,turpentine,and water are $1.44$,$1.47$,and $1.33$ respectively. Through which of these media does light travel the fastest? Why?

The refractive indices of turpentine oil,kerosene,and alcohol are $1.47, 1.44$,and $1.36$ respectively. Based on this information,complete the following ray diagrams to show the path of a ray of light through each medium. (Give a reason for your answer.)

You are given a convex lens of focal length $10\, cm$. Where would you place an object to get a real,inverted and highly enlarged image of the object? Draw a ray diagram.

The velocity of light in air is $3 \times 10^{8} \, m \, s^{-1}$. What is the velocity of light in water? (The absolute refractive index of water is $\frac{4}{3}$.)

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