Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror?

Question

Answer

Explanation:

Here, we need to find the focal length of a convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror.

Let's use the mirror formula to find the focal length of the mirror.

Mirror Formula:

The mirror formula is given by:

1/f = 1/v + 1/u

where f is the focal length of the mirror, v is the distance of the image from the mirror, and u is the distance of the object from the mirror.

Given:

Size of the image (v) = 1/6 times the size of the object (u)

Distance of the object (u) = 0.12 m

Solution:

Let's substitute the given values in the mirror formula and solve for the focal length (f).

1/f = 1/v + 1/u

1/f = 1/(1/6u) + 1/u

1/f = (7/6u)

f = 6u/7

Substituting u = 0.12 m

f = 6(0.12)/7

f = 0.1029 m

Therefore, the focal length of the convex spherical mirror is 0.1029 m.

Answer:

The focal length of the convex spherical mirror is 0.1029 m.

Answer

As the size of the object is not given so we will take U- x and size of image formed as V. as U is x so ATQ V = U/6 so by mirror formula
1/V+1/U=1/f .1/U/6+1/U =1/f. 6/U+1/U=1/f. 7/U=1/f. so f=U/7.
therefore we can say that the focal length of mirror is height of object /7.

Similar Class 10 Doubts

A spherical mirror produces an image of magnification -1. Name the type of mirror, Image distance from the object, it's focal length and its Ray diagram. As soon as possible plz answer.?

Find the location to the object which when placed in front of a convex mirror produces an image half the access to the object give in the focal length of a convex is half and convex mirror means m is equal to 1/2?

Aspherical mirror produces an image of magnification-1 on a screen placed at a distance of 50 cm from the mWitte the type of the mirror.What is the focal length of the mirror?(i) Find the distance of the image for the object. (iv) Draw the ray diagram to show the image formation in tha?

A spherical mirror form a real image 3 times as big as the object. If the focal length of the mirror is 15cm, calculate the distance of image from the mirror. Is the mirror concave or convex?

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company