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why the focal length of convex lens is always positive

by Jennifer Kertzmann Published 2 years ago Updated 2 years ago
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As we all know that the focal length of the convex lens is always positive as it behaves as a converging lens because it causes the light ray to converge at one point from the axis called as principal focus of the lens. Therefore, f1 = 30 cm. What is meant by focal length of a convex lens?

In a convex lens, the rays of light traveling parallel to the principal axis actually converge at a point, the focus is called the real focus. Hence, its focal length is taken as positive.

Full Answer

What is the difference between a positive and negative focal length?

When the image and object are at the two different sides of a lens the the focal length is positive. Example convex lens. When the object and images are at the same side (one side only) then the focal length is negative. Example concave lens. This is the general convention followed in lens optics. Save up to 80% on your next printer ink cartridges!

What is the sign of focal length in concave lens?

For a convex lens, focal length (f) is positive and for a concave lens, the value of f is negative. So by assigning signs to focal length in the power formula (PL=1f) we get negative value for concave lens and positive value for convex lens. What is the sign of image distance in concave lens? A concave lens diverges the rays incident on it.

What is the real focus of a convex lens?

In a convex lens , since the parallel beam of light travelling parallel to the principal axis actually meets at a point (second focus) , the focus is called real focus and its focal length is taken as positive.

What is the sign of F in convex lens?

“f” is taken positive for convex lens and negative for concave lens. “u” is always taken negative. “v” is taken positive for real image and negative for virtual image. What is the sign of object distance in convex lens?

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Why focal length is positive for convex lens?

Focal length of the convex lens is positive because light ray parllel to principal axis passes through focus on the other side of the lens.

Why is focal length always positive?

The focal length of a convex lens is positive according to sign convention as the light rays converge on the opposite side from where the light ray is coming after passing through the lens.

Why focal length of convex lens is positive and concave is negative?

That means that the focal point is on the same side of the lens as the light rays were coming from. Convex lenses have real focus while concave lenses have virtual focus hence the focal length is positive and negative for convex and concave lenses respectively. ∴ The power of the concave lens is negative.

Why focal length of convex mirror is always positive?

(a) A convex mirror has a positive focal length because the focus of a convex mirror is on the right side and behind the mirror. (b) A concave mirror has a negative focal length because the focus of a concave mirror is on the left side and in front of the mirror.

Why focal length is positive for concave mirror?

The focal length of a concave mirror is negative because the focus of a concave mirror is in front of the mirror, on the left side. Whereas, The focal length of a convex mirror is positive because the focus of a convex mirror is behind the mirror, on the right side.

Why power of concave lens is negative?

The power of the lens is the reciprocal of the focal length. A concave lens is a diverging lens, so it will always have a negative focal length. Therefore, the power of a concave lens is also negative.

Why is focal length negative in diverging?

Notice that a diverging lens such as this double concave lens does not really focus the incident light rays that are parallel to the principal axis; rather, it diverges these light rays. For this reason, a diverging lens is said to have a negative focal length.

Why is U negative in convex lens?

See according to the New Cartesian Sign convention U i.e., the object distance is always in the left hand side of the lens or mirror i.e., to -X side. That is why U is always taken as negative. For focal length, f in lens is always taken as negative for concave and positive for convex.

Why is the focal length of a convex mirror negative?

In convex mirrors, the reflecting surface is on the outside of the sphere, making the center of curvature and the focal point on the opposite side of the mirror from the object. Since the focal point is on the opposite side of the mirror from the object, the focal length is assigned a negative number.

Why focal length is positive for a concave mirror and negative for convex mirror?

Solution : Explanation: In case of concave mirror, the centre of curvature and focus lie in front of the surface of the mirror. Thus, the radius of curvature and focal length are taken as negative.

Is focal length always positive in mirror?

both convex mirror and convex lens have negative focal length.

Is focal length of concave lens always positive?

According to the sign convention, the focal length of concave lens is always negative.

Does a real image have a positive focal length?

The position of the image can be found through the equation: Here, the distances are those of the object and image respectively as measured from the lens. The focal length f is positive for a convex lens. A positive image distance corresponds to a real image, just as it did for the case of the mirrors.

Which side of the lens converges the light rays incident on it to the focal point?

Convex lens always converges the light rays incident on it to the focal point which to the right side of the convex lens.

Which side of the lens is the convex lens?

Expert Answer: Convex lens always converges the light rays incident on it to the focal point which to the right side of the convex lens. According to the New Cartesian sign convention, all distances measured to the right of the origin (along +x-axis) are taken as positive, while those measured to the left of the origin (along −x-axis) ...

How to find focal length of concave mirror?

Following are the ways to obtain the focal length of the concave mirror:

What is the principal focus of a concave mirror?

Principal focus: Principal focus is defined as a point at which the reflected rays meet or appear to meet for the spherical mirror. For a concave mirror, the principal focus is in the front and for a convex mirror, the principal focus is at the behind. Below is an experiment to determine the focal length of a concave mirror and convex lens.

What is the difference between the position of the lens and the screen?

The difference between the position of the lens and the screen is equal to the focal length of the given convex lens.

How to determine distance between concave mirror and screen?

Using a metre scale the distance between the concave mirror and screen can be determined. The distance is the same as the focal length of the given concave mirror.

How to get a well illuminated and distinct image of a distinct object?

To get a well illuminated and distinct image of the distinct object, the distant object should be well illuminated. A concave mirror should be always placed near an open window. The polished surface of the concave mirror and the distinct object should be facing each other.

What is the focal length of a convex lens?

10 cm is the focal length of the convex lens.

What does F mean in physics?

f is used to denote the difference between the principal axis P and the focus F of the concave mirror.

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1.Why is the focal length of a convex lens always positive?

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20 hours ago Why the focal length of convex lens is always positive? A convex lens is a converging lens. In a convex lens, the rays of light traveling parallel to the principal axis actually converge at a …

2.Why the focal length of convex lens is always positive?

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18 hours ago The focal length f being for a convergent lens (convex) is positive,the object being along the side of incident ray has its distance measured from optical center in a opposite direction of …

3.Why have we taken the focal length of the convex lens …

Url:https://www.quora.com/Why-have-we-taken-the-focal-length-of-the-convex-lens-positive

32 hours ago  · The power of a convex lens is positive as a convex lens has a positive focal length, while the power of a concave lens is negative as concave lens has a negative focal length. It is …

4.why is the focal length of a convex lens is taken positive …

Url:https://www.topperlearning.com/answer/why-is-the-focal-length-of-a-convex-lens-is-taken-positive-and-that-of-a-concave-lens-as-negative/1j4w9l77

12 hours ago  · Expert Answer: Dear student In a convex lens , since the parallel beam of light travelling parallel to the principal axis actually meets at a point (second focus) , the focus is …

5.Videos of Why The focal length of convex Lens Is Always Positive

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20 hours ago  · Convex lens always converges the light rays incident on it to the focal point which to the right side of the convex lens. According to the New Cartesian sign convention, all …

6.CBSE Class 10 Answered

Url:https://www.topperlearning.com/answer/why-focal-length-of-convex-lens-is-taken-as-positive/6khn6f22

24 hours ago  · Reason: Magnification of a convex mirror is always positive, but that of a concave mirror may be both positive or negative ... The power of the lens is defined as the reciprocal of …

7.Determination Of Focal Length Of Concave Mirror And …

Url:https://byjus.com/physics/determination-of-focal-length-of-concave-mirror-and-convex-lens/

5 hours ago The focal length of a convex lens is positive and that of concave lens is negative. Why is convex lens positive? A convex lens is a converging lens. In a convex lens, the rays of light traveling …

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