A Short-Focus Lens
Difficulty: Easy · Topics: Thin Lens Equation, Convex Lens, Image Formation
Qisqa fokusli linza
A candle stands 15 cm in front of a convex lens of focal length 10 cm.
physics "view":[-5.4,-2.45,5.4,1.85],"alt":"A candle in front of a lens; sliders move the candle and change the focal length, and the image moves with the rays.","params":["id":"a","label":"a","min":4,"max":26,"step":0.5,"value":15,"unit":"cm","id":"f","label":"f","min":4,"max":16,"step":0.5,"value":10,"unit":"cm"],"let":"S":"5","h":"1.15","XL":"-5.2","XR":"5.2","Y":"1.8","A":"a/S","F":"f/S","fs":"1 f","b":"a fs/(a - fs)","B":"b/S","hi":"-h b/a","real":"b 0","show":"abs(a - fs) 0.25 && B XL + 0.2 && B < XR - 0.1 && abs(hi) < Y","m1":"-1 h/F","x1":"m1 < 0 ? min(XR, (h + Y)/(-m1)) : min(XR, (Y - h)/m1)","x2":"min(XR, Y A/h)","items":["type":"line","from":[-5.2,0],"to":[5.2,0],"width":1.1,"type":"lens","at":[0,0],"h":1.45,"if":"F < -XL","type":"point","at":["=-F",0],"r":3.2,"label":"F","anchor":"s","if":"F < XR","type":"point","at":["=F",0],"r":3.2,"label":"F","anchor":"s","type":"candle","at":["=-A",0],"h":"=h","type":"ray","points":[["=-A","=h"],[0,"=h"],["=x1","=h + m1 x1"]],"arrows":[0.3,0.8],"type":"ray","points":[["=-A","=h"],["=x2","=-h x2/A"]],"arrows":[0.3,0.8],"if":"!real && show","type":"line","from":[0,"=h"],"to":["=B","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"!real && show","type":"line","from":["=-A","=h"],"to":["=B","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"show","type":"candle","at":["=B",0],"h":"=abs(hi)","inverted":"=real","ghost":true,"type":"dim","from":["=-A",0],"to":[0,0],"offset":1.75,"side":-1,"label":"=a cm","upright":true,"dashExt":true,"gap":0.12]
How far from the lens is the sharp image formed?
Sham fokus masofasi 10 cm bo‘lgan yig‘uvchi linzadan 15 cm oldinda turibdi.
physics "view":[-5.4,-2.45,5.4,1.85],"alt":"A candle in front of a lens; sliders move the candle and change the focal length, and the image moves with the rays.","params":["id":"a","label":"a","min":4,"max":26,"step":0.5,"value":15,"unit":"cm","id":"f","label":"f","min":4,"max":16,"step":0.5,"value":10,"unit":"cm"],"let":"S":"5","h":"1.15","XL":"-5.2","XR":"5.2","Y":"1.8","A":"a/S","F":"f/S","fs":"1 f","b":"a fs/(a - fs)","B":"b/S","hi":"-h b/a","real":"b 0","show":"abs(a - fs) 0.25 && B XL + 0.2 && B < XR - 0.1 && abs(hi) < Y","m1":"-1 h/F","x1":"m1 < 0 ? min(XR, (h + Y)/(-m1)) : min(XR, (Y - h)/m1)","x2":"min(XR, Y A/h)","items":["type":"line","from":[-5.2,0],"to":[5.2,0],"width":1.1,"type":"lens","at":[0,0],"h":1.45,"if":"F < -XL","type":"point","at":["=-F",0],"r":3.2,"label":"F","anchor":"s","if":"F < XR","type":"point","at":["=F",0],"r":3.2,"label":"F","anchor":"s","type":"candle","at":["=-A",0],"h":"=h","type":"ray","points":[["=-A","=h"],[0,"=h"],["=x1","=h + m1 x1"]],"arrows":[0.3,0.8],"type":"ray","points":[["=-A","=h"],["=x2","=-h x2/A"]],"arrows":[0.3,0.8],"if":"!real && show","type":"line","from":[0,"=h"],"to":["=B","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"!real && show","type":"line","from":["=-A","=h"],"to":["=B","=hi"],"dash":"4 3","colour":"ray","width":1.1,"if":"show","type":"candle","at":["=B",0],"h":"=abs(hi)","inverted":"=real","ghost":true,"type":"dim","from":["=-A",0],"to":[0,0],"offset":1.75,"side":-1,"label":"=a cm","upright":true,"dashExt":true,"gap":0.12]
Aniq tasvir linzadan qancha masofada hosil bo‘ladi?