Derivation Of Lens Maker Formula? Top 62 Best Answers

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Lens maker formula shows the interconnection between the focal length of the lens, refractive index of the material and radii of the lens. It is only because of these three factors that the lens makers are able to make appropriate length with a specific power. The formula used is: 1/f= (μ- 1) (1/R1 – 1/R2)

Lens maker formula (short derivation) | Class 12 (India) | Physics | Khan Academy

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What is the formula for making lenses?

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For spherical lenses, the lens equation or lens formula is an equation that links the focal length, image distance, and object distance. Lens Formula =1/v – 1/u =1/f is how it’s written. where. v is the image’s distance from the lens, u is the object distance and f is the focal length. What is lens making formula? Concave and convex.

Lens equation or lens formula is an equation that relates the focal length, image distance, and object distance for a spherical mirror. It is given as, Lens Formula – 1/u + 1/v = 1/f

What is lens formula?

What is Lens Formula? In optics, the relationship between the distance of an image (v), the distance of an object (u), and the focal length (f) of the lens is given by the formula known as Lens formula. Lens formula is applicable for convex as well as concave lenses.

What is the lens maker formula for a concave lens?

μ1≈1 and μ2=μis considered, the lens maker formula can be given in the usual form. For a concave lens, R1 is negative and R2 is positive. The lens maker formula for the concave lens is given by, For a convex lens, R1 is positive and R2 is negative. The lens maker formula takes the following form, The lens needs to be thin.

Is the lens formula applicable to convex lens?

The lens formula is applicable to all situations with appropriate sign conventions. This lens formula is applicable to both concave and convex lens. If the equation shows a negative image distance, then the image is a virtual image on the same side of the lens as the object.

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How do you calculate the distance of a lens?

It is given as, Lens Formula – 1/u + 1/v = 1/f. where. v = Distance of the image from the lens. u = Distance of the object from the lens. f = Focal length of the lens. This lens formula is applicable to all situations and with appropriate sign conventions. This lens formula is applicable to both the concave lens and convex lens.

What is the lens maker formula derived from the refractive index?

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Using the formula for refraction at a single spherical surface we can say that, Where μ is the refractive index of the material. This is the lens maker formula derivation.

The lens maker formula for a lens of thickness d and refractive index μ is given by, 1 f = (μ − 1) [ 1 R 1 − 1 R 2 + (1 − 1 μ) d R 1 R 2] Here, R1 and R2 are the radii of curvature of the two surfaces. For a thin lens, the thickness d is taken to be zero. The lens maker equation for a thin lens is given by,

What is the lens maker formula derivation for refraction?

Using the formula for refraction at a single spherical surface we can say that, Where μ is the refractive index of the material. This is the lens maker formula derivation. Check the limitations of the lens maker’s formula to understand the lens maker formula derivation is a better way.

What is the value of the refractive index of lens?

Lens maker’s formula is: Therefore, f = Q.2: Value of the refractive index of lens is 2.5. The curved surfaces are having the radius of curvatures 10 cm and -12 cm respectively.

What is the refractive index of glass and water?

The refractive indices of glass and water are 1.51 and 1.33 respectively. Solution: The radii of curvature of the lens are R1 and R2. The focal length of the lens in the air is fa= 5 cm. The refractive index of glass is μg = 1.51 Applying lens maker equation for air, If the focal length is fw in water, the lens maker equation gives,

What is lens maker’s equation for thin lenses?

The Lens Maker’s Equation for Thin Lenses: where, f is the focal length (half the radius of curvature) n is the refractive index of the material used. R1 is the radius of curvature of sphere 1. R2 is the radius of curvature of sphere 2. As previously mentioned, this equation can be used only for thin lenses.

What are the limitations of lens maker formula derivation?

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This is the lens maker formula derivation. Check the limitations of the lens maker’s formula to understand the lens maker formula derivation is a better way. The lens should not be thick so that the space between the 2 refracting surfaces can be small. The medium used on both sides of the lens should always be the same.

Limitations of Lens Maker’s Formula The limitations of the lens maker’s formula are as follows: The lens needs to be thin. This is because the distance between the two refractive surfaces is also very small. The medium on both sides of the lens needs to be the same.

What are the limitations of the lens maker’s Formula?

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Check the limitations of the lens maker’s formula to understand the lens maker formula derivation is a better way. The lens should not be thick so that the space between the 2 refracting surfaces can be small. The medium used on both sides of the lens should always be the same.

What is the lens maker formula derivation?

Where μ is the refractive index of the material. This is the lens maker formula derivation. Check the limitations of the lens maker’s formula to understand the lens maker formula derivation is a better way.

What is the formula for making a thin lens?

What is the lens makers formula for a thin lens? For a thin lens, the lens maker’s formula is given as. \frac {1} {f} = (n – 1) (\frac {1} {R_1} – \frac {1} {R_2}) Where, μ is the refractive index of the lens. f is the focal length of the lens. R1 and R2 are the radii of curvature of the lens.

How do you calculate the focal length of a lens?

Thus, the focal length of the lens can be calculated if we are given the values of the refractive index and the radius of the curvature of both the surfaces and the thickness of the lens, using the lens maker’s formula as:

What is the lens maker formula for an object at infinity?

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If the object is at infinity, the image is formed at the focus, i.e. u=∞ and v=f. This gives, μ1≈1 and μ2=μis considered, the lens maker formula can be given in the usual form. For a concave lens, R1 is negative and R2 is positive. The lens maker formula for the concave lens is given by, For a convex lens, R1 is positive and R2 is negative.

What is the lens maker’s Formula?

The Lens Maker’s Formula is an expression used to find the focal length of a lens for which the refractive index, as well as the radii of curvature, are known. We will discuss the form of the equation that is applicable only to thin lenses.

What is R1 and R2 in lens maker equation?

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Here, R1 and R2 are the radii of curvature of the two surfaces. For a thin lens, the thickness d is taken to be zero. The lens maker equation for a thin lens is given by, A convex lens of negligible thickness is considered in the above figure. The refractive index of the lens is mu2, and it is kept in a medium of refractive index mu1.

What is the optician formula for concave and convex lenses?

If the ambient medium is taken to be air i.e. n1≈1 and n2= n is taken into account, the optician formula are often given within the usual form. For a concave lens, R1 is -ve and R2 is +ve. The lens maker formula for concave lens is represented as, For a convex lens, R1 is +ve and R2 is -ve. The lens maker formula shown in the form,

How do you calculate the curvature of a thin lens?

For a thin lens, the lens maker’s formula is given as \(\frac{1}{f} = (n – 1)(\frac{1}{R_1} – \frac{1}{R_2})\) Where, μ is the refractive index of the lens f is the focal length of the lens R 1 and R 2 are the radii of curvature of the lens.

References:

Detailed Lens Maker Formula Derivation – BYJUS

Lens Maker’s Formula: Sign Convention and Derivation

Derivation of Lens Formula – Definition, Equation and

Lens Maker’s Formula – Concave and Convex Lens

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What is lens formula?

What is the lens maker formula for a concave lens?

Is the lens formula applicable to convex lens?

How do you calculate the distance of a lens?

What is the formula for making lenses?

What is the lens maker formula derivation for refraction?

What is the value of the refractive index of lens?

What is the refractive index of glass and water?

What is lens maker’s equation for thin lenses?

What is the lens maker formula derived from the refractive index?

What is the lens maker’s Formula?

What is R1 and R2 in lens maker equation?

What is the optician formula for concave and convex lenses?

How do you calculate the curvature of a thin lens?

What is the lens maker formula for an object at infinity?

What are the limitations of the lens maker’s Formula?

What is the lens maker formula derivation?

What is the formula for making a thin lens?

How do you calculate the focal length of a lens?

What are the limitations of lens maker formula derivation?

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