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Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?
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Problem:
Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?
Solution:
Step 1: Identify the given values and formula to be used.
Given:
f = -20cm (focal length of concave mirror)
m = -3 (magnification)
Formula:
m = -v/u (where m is magnification, v is the image distance, and u is the object distance)
Step 2: Substitute the values in the formula.
m = -v/u
-3 = -v/u
Step 3: Solve for v.
-3u = v
Step 4: Use the mirror formula to find u.
The mirror formula is given by:
1/f = 1/v + 1/u
Substituting the given values, we get:
1/-20 = 1/-3u + 1/u
Solving for u, we get:
u = -30 cm
Step 5: Use the magnification formula to find v.
m = -v/u
-3 = -v/-30
v = -90 cm
Step 6: Interpret the solution.
The object must be placed at a distance of 30 cm from the concave mirror to produce a virtual image which is three times the size of the object. The image will be formed at a distance of 90 cm from the mirror.
Final Answer: The object must be placed at a distance of 30 cm from the concave mirror to produce a virtual image which is three times the size of the object.
Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?
Solution:
Step 1: Identify the given values and formula to be used.
Given:
f = -20cm (focal length of concave mirror)
m = -3 (magnification)
Formula:
m = -v/u (where m is magnification, v is the image distance, and u is the object distance)
Step 2: Substitute the values in the formula.
m = -v/u
-3 = -v/u
Step 3: Solve for v.
-3u = v
Step 4: Use the mirror formula to find u.
The mirror formula is given by:
1/f = 1/v + 1/u
Substituting the given values, we get:
1/-20 = 1/-3u + 1/u
Solving for u, we get:
u = -30 cm
Step 5: Use the magnification formula to find v.
m = -v/u
-3 = -v/-30
v = -90 cm
Step 6: Interpret the solution.
The object must be placed at a distance of 30 cm from the concave mirror to produce a virtual image which is three times the size of the object. The image will be formed at a distance of 90 cm from the mirror.
Final Answer: The object must be placed at a distance of 30 cm from the concave mirror to produce a virtual image which is three times the size of the object.
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Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?
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Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?.
Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the position of an object which when placed in front of a concave mirror of focal length 20cm produces a virtual image which is thrice the size of object?.
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