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One day rajaesh was going to his office in his car. while driving his car he saw another car behind him through his rear veiw mirror he saw that car coming from behind was at distance of 4.5m ifthr radius of curvature of the mirror used as rear veiw mirror in moving car was 2.9 m calculate the position of the image of the car?
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One day rajaesh was going to his office in his car. while driving his ...
Calculation of position of image of the car

Given:

  • Distance between Rajesh's car and the car behind him = 4.5m

  • Radius of curvature of the mirror used as rear view mirror = 2.9m



Formula:

  • focal length = radius of curvature/2

  • 1/f = 1/v + 1/u (where f = focal length, v = image distance, u = object distance)

  • magnification (m) = -v/u



Solution:

  • Using the given formula, we can find the focal length of the mirror.


    • focal length = radius of curvature/2 = 2.9/2 = 1.45m


  • Now, we need to find the position of the image of the car.


    • We know that the distance between Rajesh's car and the car behind him is the object distance (u).

    • So, u = -4.5m (negative sign indicates that the object is behind the mirror).

    • We also know the focal length of the mirror (f = 1.45m).

    • Using the formula 1/f = 1/v + 1/u, we can find the image distance (v).


      • 1/f = 1/v + 1/u

      • 1/1.45 = 1/v + 1/-4.5

      • 0.6897 = 1/v - 0.2222

      • 1/v = 0.9119

      • v = 1.096m


    • So, the image of the car is formed at a distance of 1.096m from the mirror.




Therefore, the position of the image of the car is 1.096m from the mirror.
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One day rajaesh was going to his office in his car. while driving his car he saw another car behind him through his rear veiw mirror he saw that car coming from behind was at distance of 4.5m ifthr radius of curvature of the mirror used as rear veiw mirror in moving car was 2.9 m calculate the position of the image of the car?
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One day rajaesh was going to his office in his car. while driving his car he saw another car behind him through his rear veiw mirror he saw that car coming from behind was at distance of 4.5m ifthr radius of curvature of the mirror used as rear veiw mirror in moving car was 2.9 m calculate the position of the image of the car? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about One day rajaesh was going to his office in his car. while driving his car he saw another car behind him through his rear veiw mirror he saw that car coming from behind was at distance of 4.5m ifthr radius of curvature of the mirror used as rear veiw mirror in moving car was 2.9 m calculate the position of the image of the car? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One day rajaesh was going to his office in his car. while driving his car he saw another car behind him through his rear veiw mirror he saw that car coming from behind was at distance of 4.5m ifthr radius of curvature of the mirror used as rear veiw mirror in moving car was 2.9 m calculate the position of the image of the car?.
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