हिंदी

A Convex Lens of Focal Length 30 Cm is Placed Coaxially in Contact with a Concave Lens of Focal Length 40 Cm. Determine the Power of the Combination. Will the System Be Converging Or Diverging I - Physics

Advertisements
Advertisements

प्रश्न

A convex lens of focal length 30 cm is placed coaxially in contact with a concave lens of focal length 40 cm. Determine the power of the combination. Will the system be converging or diverging in nature?

उत्तर

We have,focal lengh of convex lens,f1= +30 cm = +0.30 m and focal length 

of concave lens, f2 = - 40 cm = - 0.40m

Equivalent focal lenght, `f = 1/f^1  + 1/f^2  = 1/30  + 1/-40  = (40 - 30)/1200  = 1/120 `

∴ F = 120 cm = 1.2 m

∴ Power of the combination , `p=1/F = 1/1.2 = 0.83 D`

The focal length of the combination = 1.2 m = 120 cm

As the focal length is positive, the system will be converging in nature.

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2012-2013 (March) Delhi-set-3

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

An object is placed 15 cm in front of a convex lens of focal length 10 cm. Find the nature and position of the image formed. Where should a concave mirror of radius of curvature 20 cm be placed so that the final image is formed at the position of the object itself?


A convex lens of focal length 20 cm is placed coaxially with a concave mirror of focal length 10 cm at a distance of 50 cm apart from each other. A beam of light coming parallel to the principal axis is incident on the convex lens. Find the position of the final image formed by this combination. Draw the ray diagram showing the formation of the image


A convex lens of focal length 20 cm is placed coaxially with a convex mirror of radius of curvature 20 cm. The two are kept 15 cm apart. A point object is placed 40 cm in front of the convex lens. Find the position of the image formed by this combination. Draw the ray diagram showing the image formation.


Draw a ray diagram to show image formation when the concave mirror produces a real, inverted and magnified image of the object.


A convex lens of focal length f1 is kept in contact with a concave lens of focal length f2. Find the focal length of the combination. 


Use Huygens’ geometrical construction to show the behavior of a plane wavefront.

(i) Passing through a biconvex lens;

(ii) Reflecting by a concave mirror


Find the diameter of the image of the moon formed by a spherical concave mirror of focal length 7.6 m. The diameter of the moon is 3450 km and the distance between the earth and the moon is 3.8 × 105 km.


A particle is moving at a constant speed V from a large distance towards a concave mirror of radius R along its principal axis. Find the speed of the image formed by the mirror as a function of the distance x of the particle from the mirror.


A small block of mass m and a concave mirror of radius R fitted with a stand lie on a smooth horizontal table with a separation d between them. The mirror together with its stand has a mass m. The block is pushed at t = 0 towards the mirror so that it starts moving towards the mirror at a constant speed V and collides with it. The collision is perfectly elastic. Find the velocity of the image (a) at a time t < d/V, (b) at a time t > d/V.


Two concave mirrors of equal radii of curvature R are fixed on a stand facing opposite directions. The whole system has a mass m and is kept on a frictionless horizontal table following figure. Two blocks A and B, each of mass m, are placed on the two sides of the stand. At t = 0, the separation between A and the mirrors is 2 R and also the separation between B and the mirrors is 2 R. The block B moves towards the mirror at a speed v. All collisions which take place are elastic. Taking the original position of the mirrors-stand system to be x = 0 and X-axis along AB, find the position of the images of A and B at t = (a) `R/v`  (b)  `3R/v` (c) `5R/v`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×