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If A Concave Mirror Of Radius Of Curvature cm Produces An Inverted Image 4 Times The Size Of An Object Placed On And Perpendicular To The Axis. Determine By An Accurate Scale The Position Of the objec?
If the image produced is 4 times the size of the object and inverted, then the object is placed at a distance equal to half the radius of curvature from the mirror. This would position the object beyond the center of curvature of the concave mirror. Using an accurate scale, you would measure a distance of half the radius of curvature from the mirror to locate the object.
How do you derive relation between focal length and radius of curvature of convex mirror?
For a convex mirror, the focal length (f) is half the radius of curvature (R) of the mirror. This relationship arises from the mirror formula for convex mirrors: 1/f = 1/R + 1/v, where v is the image distance. When the object is at infinity, the image is formed at the focal point, and the image distance is equal to the focal length. Hence, 1/f = -1/R when solving for the focal length in terms of the radius of curvature for a convex mirror.
Formula for the radius of the curvature of the concave lens?
radius of curvature is double of focal length. therefore, the formula is: 1/f = (n-1)[ 1/R1 - 1/R2 + (n-1)d/nR1R2] here f= focal length n=refractive index R1=radius of curvature of first surface R2=radius of curvature of 2nd surface d=thickness of the lens using this, if you know rest all except one, then you can calculate that.
An object 2.5 cm long is placed on the axis of a concave mirror on 30 cm radius of curvature at a distance of 10 cm away from it Find the position size and nature of the image formed?
The mirror equation for concave mirrors is 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. Since the object distance is 10 cm from the mirror and the radius of curvature is 30 cm, the focal length (f) is half the radius of curvature, which is 15 cm. Substituting the values, you can find the image distance (di) which is -20 cm (negative indicates a real image). The magnification can be calculated using M = -di/do, which in this case is -20/-10 = 2. This means the image is inverted and magnified by a factor of 2, located at a distance of 20 cm on the same side as the object from the mirror.
How far from a concave mirror radius 28.6 cm must an object be placed if its image is to be at infinity?
The object must be placed at a distance equal to the radius of curvature of the concave mirror in order for its image to be at infinity. In this case, the object must be placed 28.6 cm away from the concave mirror.
Light from a star is collected by a concave mirror How far from the mirror is the image of the star if the radius of curvature is 150 cm?
The image of the star will be 67.5 cm from the mirror because focal length is the raidus of curvature multiplied by 2 or (2)(C). So, therefore, 150 / 2 will give the focal length which would also be the answer.
A convex lens forms a real and inverted image of a needle at a distance of 50cm from the lensWhere is the needle placed in front of the convex lens so that the image is of the same size as the object?
A convex lens forms a real and inverted image of equal size only when it is kept at the center of curvature of the lens. The image is also formed at the center of curvature at the other side. Hence, the distance of object = distance of image = 50 cm. Now, focal length = � � radius of curvature = � � 50 cm = 25 cm Hope it is clear!
What factor most influences the image produced by reflection of an object in a concave?
Distance from the mirror, curvature of the mirror.
What factor influences the image produced by reflection of an object in a concave mirror?
Distance from the mirror, curvature of the mirror.
What is the focal length of concave mirror to form real image?
The focal length of a concave mirror to form a real image is positive. It is equal to half the radius of curvature (R) of the mirror, and the image is formed between the focal point and the mirror.
An object between F and C?
The object is located between the focal point (F) and the center of curvature (C) of a concave mirror. This position of the object would result in an inverted and magnified image being formed behind the mirror. The distance from the object to the mirror must be greater than the focal length but less than the radius of curvature.
What are the equations used to calculate the focal length and image distance of a plano-convex lens?
The equations used to calculate the focal length (f) and image distance (d) of a plano-convex lens are: For focal length (f): 1/f (n - 1) (1/R1) where: f is the focal length of the lens n is the refractive index of the lens material R1 is the radius of curvature of the curved surface of the lens For image distance (d): 1/f 1/do 1/di where: do is the object distance from the lens di is the image distance from the lens These equations are fundamental in understanding the behavior of light passing through a plano-convex lens.
