An object is placed at 80 cm on the left of a convex
An object is placed at 80 cm on the left of a convex lens of focal length 40 cm. Where should a screen be placed to right of the lens so that the image formed is real, inverted and same sized?
एक वस्तु को 40 cm फोकस दुरी वाले एक उत्तल लेंस के बाई ओर 80 cm की दूरी पर रखा गया हैं। लेंस के दाईं ओर स्क्रीन को कहाँ रखा जाना चाहिए. ताकि बनने वाला प्रतिबिंब वास्तिवक, उल्टा और समान आकार का हो?
Detailed Solution & Logic
The screen should be placed 80 cm from the lens./ स्क्रीन को लेंस से 80 cm की दूरी पर रखा जाना चाहिए।
📘 Explanation (English)
Given:
Focal length of convex lens (फोकस दूरी) , f=40 cm
Object distance,( वस्तु दूरी) u =−80
Lens Formula(लेंस सूत्र:) :
$ \frac{1}{f} = \frac{1}{v} - \frac{1}{u}$
Substitute values (मान रखने पर) :
$ \frac{1}{40} = \frac{1}{v} - \frac{1}{(-80)}$
$ \frac{1}{40} = \frac{1}{v} + \frac{1}{80}$
$ \frac{1}{v} = \frac{1}{40} - \frac{1}{80}$
$ \frac{1}{v} = \frac{2- 1}{80} - \frac{1}{80}$
v = 80 cm
The image is formed 80 cm on the right side of the lens.
Since object distance =2f, the image formed by a convex lens is:
Real (वास्तविक)
Inverted (उल्टा)
Same size (समान आकार)
इसलिए प्रतिबिंब लेंस के दाईं ओर 80 cm पर बनेगा।
जब वस्तु 2f2f2f पर रखी जाती है:
प्रतिबिंब वास्तविक होता है
उल्टा होता है
वस्तु के बराबर आकार का होता है
⭐ Extra Facts / अतिरिक्त तथ्य
🔹 English
At 2f, magnification =1
Convex lens is used in cameras and projectors to form real images.
🔹 Hindi
2f पर आवर्धन (Magnification) = 1 होता है।
उत्तल लेंस कैमरा और प्रोजेक्टर में वास्तविक प्रतिबिंब बनाने के लिए उपयोग होता है।
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