Thursday, 24 January 2013
Wednesday, 23 January 2013
Tuesday, 22 January 2013
Formation of Image by a Concave Mirror and Lens
Formation of Image by a Concave Mirror
When the Object is Placed At Infinity
When an object is placed at infinity, the rays coming from it are parallel to each other. Let us consider two rays, one striking the mirror at its pole and the other passing through the centre of curvature. The ray which is incident at the pole gets reflected according to the law of reflection and the second ray which passes through the centre of curvature of the mirror retraces its path. These rays after reflection form an image at the focus. The image formed is real, inverted and diminished.
The image is
- at F
- Real
- Inverted
- Diminished
When the Object is Placed Beyond C
- a ray passing through the centre of curvature
- a ray parallel to the principal axis.
- Between C and F
- Real
- Inverted
- Diminished
When the Object is Placed at the Center of Curvature
Here we consider the two rays, one parallel to the principal axis and the other passing through the focus. The ray of light which is parallel to the principal axis passes through the focus after reflection. The other ray passing through the focus after reflection emerges parallel to the axis. After reflection these rays meet at the centre of curvature to form an inverted image, which is real and of the same size as the object.
The image is
- At C
- Real
- Inverted
- Same size as object
When the Object is Between C and F
The image is
- Beyond C
- Real
- Inverted
- Magnified
When the Object is at the Focus
- The image is at infinity
- Real
- Inverted
- Magnified
When the Object is Between the Pole and the Focus
Formation of Image by a Concave Lens
When the Object is at Infinity:
The image is -
When the Object is Placed between O and F:
The image is -
The image is -
The image is -
- Formed at F1
- Erect
- Virtual
- Diminished
When the Object is Placed between O and F:
The image is -
- Formed between O and F1
- Erect
- Virtual
- Diminished
When the Object is Placed at any Position between O and Infinity:
The image is -
- Formed between O and F1
- Erect
- Virtual
- Diminished
Sunday, 20 January 2013
Formation of Image in a Convex Mirror and Lens
Formation of Image in a Convex Mirror
When the Object is between Infinity and the Pole
The image is
- Formed between the pole and the focus
- Erect
- Diminished
- Virtual
Formation of Image by a Convex Lens
1. When the Object is Placed between F1 and O:
The image is -
2. When the Object is Placed between the Optical Center (O) and first Focus (F1)
7. When the Object is Placed at Infinity
The image is -
Formation of Image by a Convex Lens
The image is -
- Formed on the same side of the lens
- Virtual
- Erect
- Magnified
2. When the Object is Placed between the Optical Center (O) and first Focus (F1)
Here we consider two rays starting from the top of the object placed at F1 and optical center. The ray parallel to the principal axis after refraction passes through the focus (F2). The ray passing through the optical center goes through the lens undeviated. These refracted rays appear to meet only when produced backwards. Thus, when an object is placed between F1 and O of a convex lens, a virtual, erect and magnified image of the object is formed on the same side of the lens as the object.
3. When the Object is Placed at 2F1
The image is -
- Formed at 2F2
- Real
- Inverted
- Same size as the object
Here one of the rays starting from the top of the object placed at 2F1 passes through the optic center without any deviation and the other ray which is parallel to the principal axis after refraction passes through the focus. These two refracted rays meet at 2F2. Thus, when an object is placed at 2F1 of a convex lens, inverted and real image of the same size as the object is formed at 2F2 on the other side of the lens.
4. When the Object is Placed between F1 and F2The image is
- Formed beyond 2F2
- Real
- Inverted
- Magnified
Let us consider two rays coming from the object. The ray which is parallel to the principal axis after refraction passes through the lens and passes through F2 on the other side of the lens. The ray passing through the optic center comes out of the lens without any deviation. The two refracted rays intersect each other at a point beyond 2F2. So, when an object is placed between F1 and 2F1 of a convex lens the image is formed beyond 2F2.
5. When the Object is Placed at F1The image is -
- Formed at infinity
- real
- Inverted
- Magnified
Here again we consider two rays coming from the top of the object. One of the rays which is parallel to the principal axis after refraction passes through F2 and the other ray which passes through the optical center comes out without any deviation. These two refracted rays are parallel to each other and parallel rays meet only at infinity. Thus, when an object is placed at F1 of a convex lens, the image is formed at infinity and it is inverted, real and magnified.
6. When the Object is Placed beyond 2F1The image is -
- Formed between F2 and 2F2
- Real
- Inverted
- Diminished
The ray parallel to the principal axis after refraction passes through F2 and the ray which passes through the optical center comes out without any deviation. The refracted rays intersect at a point between F2 and 2F2. The image is inverted, real and diminished.
7. When the Object is Placed at Infinity
The image is -
- Formed at F2
- Inverted
- Real
- Highly diminished
When the object is at infinity, the rays coming from it are parallel to each other. Let one of the parallel rays pass through the focus F1 and the other ray pass through the optical center. The ray which passes through F1 becomes parallel to the principal axis after refraction and the ray which passes through the optical center does not suffer any deviation.
Friday, 18 January 2013
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