A bright object 50mm high stands on the axis of a concave mirror of focal length 100mm and at a distance of 300mm from the concave mirror. How big will the image be?
Download our app for free and get started
$h _1=50 mm, f =-100 mm, u =-300 mm, h _1=?$
We have.$\frac{1}{\text{v}}+\frac{1}{\text{u}}=\frac{1}{\text{f}}$
$\frac{1}{\text{v}}+\frac{1}{(-300)}=\frac{1}{(-100)}$
$\frac{1}{\text{v}}=\frac{1}{300}-\frac{1}{100}$
$\frac{1}{\text{v}}=\frac{-200}{3000}$
$\frac{1}{\text{v}}=-150\text{cm}$
$\text{v}=-150\text{cm}$
$-\frac{-150}{-300}=\frac{\text{h}_2}{50}$
The image will be 25mm high.
We have.$\frac{1}{\text{v}}+\frac{1}{\text{u}}=\frac{1}{\text{f}}$
$\frac{1}{\text{v}}+\frac{1}{(-300)}=\frac{1}{(-100)}$
$\frac{1}{\text{v}}=\frac{1}{300}-\frac{1}{100}$
$\frac{1}{\text{v}}=\frac{-200}{3000}$
$\frac{1}{\text{v}}=-150\text{cm}$
$\text{v}=-150\text{cm}$
$-\frac{-150}{-300}=\frac{\text{h}_2}{50}$
The image will be 25mm high.
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionA convex lens of focal length 0.10m is used to form a magnified image of an object of height 5mm placed at a distance of 0.08m from the lens. Calculate the position, nature and size of the image.
- 2View SolutionThe image formed by a spherical mirror is real, inverted and is of magnification - 2. If the image is at a distance of 30 cm from the mirror, where is the object placed ? Find the focal length of the mirror. List two characteristics of the image formed if the object is moved 10 cm towards the mirror.
- 3View SolutionAt what distance should an object be placed from a convex lens of focal length 18cm to obtain an image at 24cm from it on the other side? What will be the magnification produced in this case?
- 4View SolutionA convex lens produces an inverted image magnified three times of an object placed at a distance of 15cm from it. Calculate focal length of the lens.
- 5View SolutionA concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram.
- 6View SolutionA concave lens of 20cm focal length forms an image 15cm from the lens. Compute the object distance.
- 7View SolutionDefine principal axis, principal focus and focal length of a convex lens.
- 8View SolutionA combination of lenses for a camera contains two converging lenses of focal lengths 20cm and 40cm and a diverging lens of focal length 50cm. Find the power and focal length of the combination.
- 9View SolutionThe optical prescription for a pair of spectacles is:
Right eye: 3.50D, Left eye: 4.00D- Are these lenses thinner at the middle or at the edges?
- Which lens has a greater focal length?
- Which is the weaker eye?
- 10View SolutionIf an object of 10cm height is placed at a distance of 36cm from a concave mirror of focal length 12cm, find the position, nature and height of the image.