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The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm?
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The focal length of a concave mirror is 50cm .where an object be place...
Explanation:
To find out the object distance, we can use the mirror formula:
1/f = 1/v + 1/u
where f is the focal length, v is the image distance, and u is the object distance.
Given:
f = -50cm (because it is a concave mirror)
v/u = -2 (because the image is inverted and two times the size of the object)
Solution:
Substituting the given values into the mirror formula, we get:
1/-50 = 1/v + 1/u
Simplifying this equation, we get:
v = -100u/3
Since the image is inverted, the object must be placed in front of the mirror. Therefore, the object distance is negative.
u = -x
Substituting this into the equation for v, we get:
v = -100(-x)/3
v = 100x/3
Since the image is two times the size of the object, we have:
v/u = -2
100x/3 / (-x) = -2
100x = -6x
x = -6.25cm
Therefore, the object distance is u = -(-6.25cm) = 6.25cm.
Answer:
The object must be placed at a distance of 6.25cm from the concave mirror so that its image is two times and inverted. Therefore, the correct option is (C) 63cm.
To find out the object distance, we can use the mirror formula:
1/f = 1/v + 1/u
where f is the focal length, v is the image distance, and u is the object distance.
Given:
f = -50cm (because it is a concave mirror)
v/u = -2 (because the image is inverted and two times the size of the object)
Solution:
Substituting the given values into the mirror formula, we get:
1/-50 = 1/v + 1/u
Simplifying this equation, we get:
v = -100u/3
Since the image is inverted, the object must be placed in front of the mirror. Therefore, the object distance is negative.
u = -x
Substituting this into the equation for v, we get:
v = -100(-x)/3
v = 100x/3
Since the image is two times the size of the object, we have:
v/u = -2
100x/3 / (-x) = -2
100x = -6x
x = -6.25cm
Therefore, the object distance is u = -(-6.25cm) = 6.25cm.
Answer:
The object must be placed at a distance of 6.25cm from the concave mirror so that its image is two times and inverted. Therefore, the correct option is (C) 63cm.
Community Answer
The focal length of a concave mirror is 50cm .where an object be place...
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The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm?
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The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm?.
The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a concave mirror is 50cm .where an object be placed so that its image is two times and inverted A.75cm b.72cm c.63cm d.50cm?.
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