4) A concave mirror has a radius of curvature of 74.0 cm. Calculate the image po
ID: 1678715 • Letter: 4
Question
4) A concave mirror has a radius of curvature of 74.0 cm. Calculate the image position, magnification,and other characteristics, for an object placed in front of themirror at the positions tabulated below.object image position (cm) position (cm) magnification Is it real? Is it upright? Is it enlarged? 77.0 Y or N?yesno Y or N?yesno Y or N?yesno 17.0 Y or N?yesno Y or N?yesno Y or N?yesno
Draw ray diagrams to obtain the image characteristics in each case. object image position (cm) position (cm) magnification Is it real? Is it upright? Is it enlarged? 77.0 Y or N?yesno Y or N?yesno Y or N?yesno 17.0 Y or N?yesno Y or N?yesno Y or N?yesno
Explanation / Answer
Given Radius of curvature of concve mirror R = 74cm = 0.74 m a) object distance P = 77 cm = 0.77 cm Spherical mirror equationis 1 / P + 1 / Q = 2 / R 1 /Q = 2 / R - 1 /P = 2 / 0.74 - 1 / 0.77 imagedistance Q = 0.712 m = 71.2 cm image is formed right side of the lens So the image is real Magnification M = -Q / P = 71.2 / 77 =-0.9246 image is inverted b) object dtstance P = 17 cm Spherical mirror equation is 1 / P + 1 / Q = 2 / R 1 /Q = 2 / R - 1 /P = 2 / 0.74 - 1 / 0.17 imagedistance Q = -3.1796 m = -317.96 cm image is formed same side of the object So the image is virtual Magnification M = -Q / P = -(-317.96 ) / 77 =4.129 image is uprighted 1 / P + 1 / Q = 2 / R 1 /Q = 2 / R - 1 /P = 2 / 0.74 - 1 / 0.17 imagedistance Q = -3.1796 m = -317.96 cm image is formed same side of the object So the image is virtual Magnification M = -Q / P = -(-317.96 ) / 77 =4.129 image is uprightedRelated Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.