Height of a Mirror Image
Difficulty: Easy · Topics: Spherical Mirrors, Mirror Equation, Magnification
Ko‘zgudagi tasvirning balandligi
An object of height 4 cm is placed 30 cm in front of a concave mirror whose focal length is 10 cm.
physics "view":[-4.9,-2.45,2.6,2.6],"alt":"An object 4 cm tall stands in front of a concave mirror; sliders move the object and change the focal length, and the image moves.","params":["id":"d","label":"d o","min":4,"max":45,"step":1,"value":30,"unit":"cm","id":"f","label":"f","min":5,"max":20,"step":1,"value":10,"unit":"cm"],"let":"S":"10","h":"0.9","XL":"-4.7","Y":"2.45","D":"d/S","F":"f/S","real":"d f","di":"d f/(d - f)","X":"-di/S","hi":"-h di/d","show":"abs(d - f) 0.5 && X XL + 0.2 && X < 2.4 && abs(hi) < Y","x1":"max(XL, -(h + Y) F/h)","x2":"max(XL, -Y D/h)","items":["type":"line","from":[-4.8,0],"to":[2.5,0],"width":1.1,"type":"mirror","at":[0,0],"h":1.55,"kind":"concave","facing":-1,"depth":0.12,"type":"point","at":["=-F",0],"r":3.2,"label":"F","anchor":"s","if":"2 F < 4.7","type":"point","at":["=-2 F",0],"r":3.2,"label":"C","anchor":"s","type":"arrow","from":["=-D",0],"to":["=-D","=h"],"colour":"ink","width":2.2,"head":10,"type":"ray","points":[["=-D","=h"],[0,"=h"],["=x1","=h + h x1/F"]],"arrows":[0.3,0.8],"type":"ray","points":[["=-D","=h"],[0,0],["=x2","=h x2/D"]],"arrows":[0.3,0.8],"if":"!real && show","type":"line","from":[0,"=h"],"to":["=X","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"!real && show","type":"line","from":[0,0],"to":["=X","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"show && real","type":"arrow","from":["=X",0],"to":["=X","=hi"],"colour":"accent","width":2,"head":9,"if":"show && !real","type":"arrow","from":["=X",0],"to":["=X","=hi"],"colour":"accent","width":2,"head":9,"dash":"4 3","type":"dim","from":["=-D",0],"to":[0,0],"offset":1.9,"side":-1,"label":"=d cm","upright":true,"dashExt":true,"gap":0.1]
Determine the height of the image, in cm.
Balandligi 4 cm bo‘lgan buyum fokus masofasi 10 cm bo‘lgan botiq ko‘zgu oldida 30 cm masofada joylashgan.
physics "view":[-4.9,-2.45,2.6,2.6],"alt":"An object 4 cm tall stands in front of a concave mirror; sliders move the object and change the focal length, and the image moves.","params":["id":"d","label":"d o","min":4,"max":45,"step":1,"value":30,"unit":"cm","id":"f","label":"f","min":5,"max":20,"step":1,"value":10,"unit":"cm"],"let":"S":"10","h":"0.9","XL":"-4.7","Y":"2.45","D":"d/S","F":"f/S","real":"d f","di":"d f/(d - f)","X":"-di/S","hi":"-h di/d","show":"abs(d - f) 0.5 && X XL + 0.2 && X < 2.4 && abs(hi) < Y","x1":"max(XL, -(h + Y) F/h)","x2":"max(XL, -Y D/h)","items":["type":"line","from":[-4.8,0],"to":[2.5,0],"width":1.1,"type":"mirror","at":[0,0],"h":1.55,"kind":"concave","facing":-1,"depth":0.12,"type":"point","at":["=-F",0],"r":3.2,"label":"F","anchor":"s","if":"2 F < 4.7","type":"point","at":["=-2 F",0],"r":3.2,"label":"C","anchor":"s","type":"arrow","from":["=-D",0],"to":["=-D","=h"],"colour":"ink","width":2.2,"head":10,"type":"ray","points":[["=-D","=h"],[0,"=h"],["=x1","=h + h x1/F"]],"arrows":[0.3,0.8],"type":"ray","points":[["=-D","=h"],[0,0],["=x2","=h x2/D"]],"arrows":[0.3,0.8],"if":"!real && show","type":"line","from":[0,"=h"],"to":["=X","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"!real && show","type":"line","from":[0,0],"to":["=X","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"show && real","type":"arrow","from":["=X",0],"to":["=X","=hi"],"colour":"accent","width":2,"head":9,"if":"show && !real","type":"arrow","from":["=X",0],"to":["=X","=hi"],"colour":"accent","width":2,"head":9,"dash":"4 3","type":"dim","from":["=-D",0],"to":[0,0],"offset":1.9,"side":-1,"label":"=d cm","upright":true,"dashExt":true,"gap":0.1]
Tasvirning balandligini santimetrlarda aniqlang.