Question

A burning candle and a screen are placed 60 cm apart. When a spherical lens is placed exactly in the middle of the two, a distinct image of the flame is obtained on the screen. What is the nature and focal length of the lens ? Also state the nature and size of the image formed.

Answer 1

Answer:

The nature of spherical lens used is a Convex lens whose focal length is -15 cm, the nature of the image formed is read and inverted, and The image's dimensions match those of the object.

Explanation:

Given Parameters:
Image distance (v) = 30 cm

Object distance (u) = -30 cm

To Be Calculated :
The lens's composition and focal length

Formula To Be Used :

Lens Formula, that is

$\frac{1}{f} =\frac{1}{v} -\frac{1}{u}$

Solution:

We will use the lens formula to calculate the focal length of the spherical mirror,

$\frac{1}{f} =\frac{1}{v} -\frac{1}{u}$

Putting the given parameters in the above equation, we have

$\frac{1}{f} =\frac{1}{-30} -\frac{1}{30}$

$\frac{1}{f} = \frac{-2}{30} = \frac{-1}{15}$

Taking Reciprocal, we get

f = -15 cm

Therefore, the focal length of the lens is -15 cm which means that it is a Convex lens.

Calculating the magnification, we have

$m = \frac{v}{u} = \frac{30}{-30} = -1$

Hence, the size of the image is as same as that of the object and the image formed is real and inverted.

To read more about Convex lenses, visit

https://brainly.in/question/23603356

https://brainly.in/question/14607569

#SPJ1