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An object is placed at a distance u cm from a concave mirror of focal length f cm. The real image of the object is received on a screen placed at a distance of V cm from the mirror. The values of u are unchanged and the corresponding values of v are measured. Show The graph which represents the variation 1/v of with 1/u?
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An object is placed at a distance u cm from a concave mirror of focal ...


Graphical Representation of the Variation of 1/v with 1/u

To represent the variation of 1/v with 1/u, we can plot a graph with 1/u on the x-axis and 1/v on the y-axis. This is based on the mirror formula: 1/f = 1/v + 1/u.

Explanation:
- As the object is placed at different distances u from the concave mirror, the corresponding real image is formed at distances v.
- By measuring these values of u and v, we can calculate 1/v and 1/u for each pair of values.
- Plotting these values on a graph will show a linear relationship between 1/v and 1/u.
- The slope of the graph represents the focal length of the concave mirror, f.
- The intercept on the y-axis gives the reciprocal of the image distance when the object is placed at infinity, which is the focal length of the mirror.
- The graph will pass through the origin as 1/v and 1/u approach infinity when the object is at infinity.

This graphical representation helps in understanding the relationship between object distance, image distance, and focal length of the concave mirror. It also allows for the determination of the focal length based on experimental observations of object and image distances.
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An object is placed at a distance u cm from a concave mirror of focal length f cm. The real image of the object is received on a screen placed at a distance of V cm from the mirror. The values of u are unchanged and the corresponding values of v are measured. Show The graph which represents the variation 1/v of with 1/u?
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