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  • You are provided with a convex mirror. To determine its focal length using the parallax method, you perform the following steps: 1. Set up the convex mirror on a stand and place an object at

You are provided with a convex mirror. To determine its focal length using the parallax method, you perform the following steps:
1. Set up the convex mirror on a stand and place an object at a distance of 40 cm in front of it.
2. Observe the object through the convex mirror while moving your head from one side to another, noting the apparent shift in the           position of the object.
3. Measure the distance between your eyes and the mirror to be 20 cm.

Given:
• Distance between the object and the convex mirror, Do = 40 cm
• Apparent shift of the object, d = 4 cm
• Distance between your eyes and the convex mirror, De = 20 cm

Assumptions:
• The convex mirror is properly aligned and centered.

Option: 1

-26.67 cm


Option: 2

-21.45 cm


Option: 3

-20.12 cm


Option: 4

-29.25 cm


Answers (1)

best_answer

Apply the parallax method formula to calculate the focal length (f) of the
convex mirror:

f= \frac{D_{o} . D_{e}}{D_{o}-D^{e}}
Substitute the given values into the formula:

f= \frac{40 cm . 20 cm}{40 cm-20 cm}

Calculate the focal length:

f = −26.67 cm
The focal length of the convex mirror, determined using the parallax method, is approximately −26.67 cm.
 

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Pankaj

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