Answer
Verified
333.3k+ views
Hint: The distance from the lens to the focal point is known as the focal length. For a converging lens also known as convex lens, the focal length is always positive, while for a diverging lens or concave lens it always has negative focal lengths.
Complete answer:
The focal length of a lens is dependent on the radii of curvature of its surfaces and on the index of refraction of the material the lens is produced from. As the focal length is the characteristics of a lens and colour of light is dependent on wavelength. Therefore the focal length of the lens is independent of the colour, wavelength and the frequency of the light which is entering through the lens.
Now as per the question, the distance of object from the lens is,
$u=-50cm$
And also the distance of the image from the lens is given as,
$v=-10cm$
As we all know the focal length of a lens is given by the equation,
$\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}$
Substituting the values in the given equation will give,
$\dfrac{1}{f}=\dfrac{1}{-10}-\dfrac{1}{-50}$
Simplifying,
$f=-12.5cm$
As the focal length is obtained as negative, the lens is found to be a concave lens. So the ray diagram will look like this,
Note:
The focal length of a lens is dependent on the medium surrounded. The reason for this phenomenon is that the angle of refraction of a lens is dependable on the indices of refraction of the medium of the lens and the incoming medium and the difference in their refractive indices.
Complete answer:
The focal length of a lens is dependent on the radii of curvature of its surfaces and on the index of refraction of the material the lens is produced from. As the focal length is the characteristics of a lens and colour of light is dependent on wavelength. Therefore the focal length of the lens is independent of the colour, wavelength and the frequency of the light which is entering through the lens.
Now as per the question, the distance of object from the lens is,
$u=-50cm$
And also the distance of the image from the lens is given as,
$v=-10cm$
As we all know the focal length of a lens is given by the equation,
$\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}$
Substituting the values in the given equation will give,
$\dfrac{1}{f}=\dfrac{1}{-10}-\dfrac{1}{-50}$
Simplifying,
$f=-12.5cm$
As the focal length is obtained as negative, the lens is found to be a concave lens. So the ray diagram will look like this,
Note:
The focal length of a lens is dependent on the medium surrounded. The reason for this phenomenon is that the angle of refraction of a lens is dependable on the indices of refraction of the medium of the lens and the incoming medium and the difference in their refractive indices.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Select the word that is correctly spelled a Twelveth class 10 english CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE