MPSC PYQ

Magnification

Magnification is a Science & Technology concept from the MPSC syllabus, tested in 2 past MPSC questions (2018). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.

Real questions
2
Years tested
1 · 2018–2018
In context
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What you need to know first

Sign conventions in opticsRadius of curvature and focal length relation

Real questions that test this

1 मिमी × 1 मिमी च्या चौरसाची नक्षी असलेले कार्ड शीट, डोळ्यांच्या अगदी जवळ असलेल्या 9 सेमी नाभीय अंतराच्या बहिर्वर्क भिंगातून 9 सेमी अंतरावरून बघितल्यास, त्या कार्ड शीट वरील चौरस ________ आकाराचे दिसतील. A card sheet divided into squares, each of size 1 mm × 1 mm is being viewed at a distance of 9 cm through a convex lens of focal length 9 cm held close to the eye. The squares on the card sheet will be observed to be of size

a)10 मिमी × 10 मिमी / 10 mm × 10 mm✓ Correct
b)10 मिमी2 / 10 mm2
c)10 सेमी2 / 10 cm2
d)1 मिमी2 / 1 mm2

When object distance equals focal length of a convex lens, the image is formed at infinity, making the calculation straightforward based on magnification formulas.

एका वस्तूची उंची 3 सेमी असून 24 सेमी वक्रता त्रिज्या असणाऱ्या अंतर्वक्र आरशापासून 20 सेमी अंतरावर ठेवली आहे. सुस्पष्ट प्रतिमा मिळवण्यासाठी आरशापासून पडदा किती अंतरावर असावा ? तसेच प्रतिमेचा आकार किती ? / An object 3 cm in size is placed 20 cm in front of a concave mirror of radius of curvature 24 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image ? Also, what is the size of the image ?

1)-30 सेमी, +4.5 सेमी / -30 cm, +4.5 cm
2)-30 सेमी, -4.5 सेमी / -30 cm, -4.5 cm✓ Correct
3)+4.5 सेमी, -30 सेमी / +4.5 cm, -30 cm
4)-4.5 सेमी, +30 सेमी / -4.5 cm, +30 cm

Using mirror formula 1/f = 1/v + 1/u with R=24 cm (f=-12 cm) and u=-20 cm, we find v=-30 cm. Magnification gives the image size as -4.5 cm.

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