The refractive indices of water and glass are $\frac{3}{4}\text{ and }\frac{3}{2}$ respectively. Write the relation and find the value of refractive index of water with respect to glass and glass with respect to water.
Download our app for free and get started
Given, $_\text{n}\text{g}_\text{a}=\frac{3}{2}$ And $_\text{n}\text{w}_\text{a}=\frac{4}{3}$ Hence refractive index of glass with respect to water is,$_\text{n}\text{w}_\text{a}=\frac{_\text{n}\text{g}_\text{a}}{_\text{n}\text{w}_\text{a}}=\frac{\big(\frac{3}{2}\big)}{\big(\frac{4}{3}\big)}=\frac{9}{8}$
$_\text{n}\text{w}_\text{a}=\frac{_\text{n}\text{g}_\text{a}}{_\text{n}\text{w}_\text{a}}=\frac{\big(\frac{4}{3}\big)}{\big(\frac{3}{2}\big)}=\frac{8}{9}$
$_\text{n}\text{w}_\text{a}=\frac{_\text{n}\text{g}_\text{a}}{_\text{n}\text{w}_\text{a}}=\frac{\big(\frac{4}{3}\big)}{\big(\frac{3}{2}\big)}=\frac{8}{9}$
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 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.
- 2View SolutionA converging mirror forms a real image of height 4cm of an object of height 1cm placed 20cm away from the mirror:
- Calculate the image distance.
- What is the focal length of the mirror?
- 3View SolutionThe radius of curvature of a convex mirror used as a rear view mirror in a moving car is 2.0m. A truck is coming from behind it at a distance of 3.5m. Calculate (a) position, and (b) size, of the image relative to the size of the truck. What will be the nature of the image?
- 4View SolutionA man standing in front of a special mirror finds his image having a very small head, a fat body and legs of normal size. What is the shape of:
- Top part of the mirror?
- Middle part of the mirror?
- Bottom part of the mirror?
- 5View 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?
- 6View SolutionState and explain the New Cartesian Sign Convention for spherical lenses.
- 7View SolutionThe image of a candle flame placed at a distance of 45cm from a spherical lens is formed on a screen placed at a distance of 90cm from the lens. Identify the type of lens and calculate its focal length. If the height of the flame is 2cm, find the height of its image.
- 8View 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?
- 9View SolutionAn object 2cm tall is placed on the axis of a convex lens of focal length 5cm at a distance of 10m from the optical centre of the lens. Find the nature, position and size of the image formed. Which case of image formation by convex lenses is illustrated by this example?
- 10View SolutionIf the image formed by a lens for all positions of an object placed in front of it is always erect and diminished, what is the nature of this lens? Draw a ray diagram to justify your answer. If the numerical value of the power of this lens is 10 D, what is its focal length in the Cartesian system?