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A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?
- a)5.25 cm
- b)21.0 cm
- c)10.5 cm
- d)42 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A concave shaving mirror has a radius of curvature of 35.0 cm. It is p...
For spherical mirror, f = R/2
Given, R = 35.0cm or
|f| = 35/2 = 17.5cm
Also, magnification m = −v/u or v = −mu
= −17.5×(0.6)
= −10.5cm
Given, R = 35.0cm or
|f| = 35/2 = 17.5cm
Also, magnification m = −v/u or v = −mu
= −17.5×(0.6)
= −10.5cm
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Community Answer
A concave shaving mirror has a radius of curvature of 35.0 cm. It is p...
Is formed 15.0 cm in front of the mirror. Determine the magnification of the mirror.
To determine the magnification of the mirror, we can use the mirror formula:
1/f = 1/u + 1/v
Where:
f = focal length of the mirror
u = object distance
v = image distance
Since the mirror is concave, the focal length (f) is negative. We can find the focal length using the formula:
1/f = 1/u + 1/v
Assuming the object distance (u) is positive and the image distance (v) is negative (since the image is formed on the same side as the object), we have:
1/f = 1/u + 1/v
1/f = 1/u - 1/(-15.0 cm) (since v = -15.0 cm)
1/f = 1/u + 1/15.0 cm
1/f = (15.0 + u)/(15.0u)
Since the radius of curvature (R) is twice the focal length (f), we have:
R = -2f
35.0 cm = -2f
f = -17.5 cm
Now we can substitute the value of f into the mirror formula:
1/f = 1/u + 1/v
1/-17.5 cm = 1/u + 1/-15.0 cm
-2/35.0 = (u - 15.0 cm)/(u * -15.0 cm)
To simplify the equation, we can multiply both sides by -35.0u:
-2u = -35.0(u - 15.0 cm)
-2u = -35.0u + 525.0 cm
33.0u = 525.0 cm
u = 525.0 cm / 33.0
u = 15.91 cm
Now we can find the magnification (M) using the formula:
M = -v/u
M = -(-15.0 cm) / 15.91 cm
M = 0.94
Therefore, the magnification of the mirror is 0.94.
To determine the magnification of the mirror, we can use the mirror formula:
1/f = 1/u + 1/v
Where:
f = focal length of the mirror
u = object distance
v = image distance
Since the mirror is concave, the focal length (f) is negative. We can find the focal length using the formula:
1/f = 1/u + 1/v
Assuming the object distance (u) is positive and the image distance (v) is negative (since the image is formed on the same side as the object), we have:
1/f = 1/u + 1/v
1/f = 1/u - 1/(-15.0 cm) (since v = -15.0 cm)
1/f = 1/u + 1/15.0 cm
1/f = (15.0 + u)/(15.0u)
Since the radius of curvature (R) is twice the focal length (f), we have:
R = -2f
35.0 cm = -2f
f = -17.5 cm
Now we can substitute the value of f into the mirror formula:
1/f = 1/u + 1/v
1/-17.5 cm = 1/u + 1/-15.0 cm
-2/35.0 = (u - 15.0 cm)/(u * -15.0 cm)
To simplify the equation, we can multiply both sides by -35.0u:
-2u = -35.0(u - 15.0 cm)
-2u = -35.0u + 525.0 cm
33.0u = 525.0 cm
u = 525.0 cm / 33.0
u = 15.91 cm
Now we can find the magnification (M) using the formula:
M = -v/u
M = -(-15.0 cm) / 15.91 cm
M = 0.94
Therefore, the magnification of the mirror is 0.94.
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A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer?.
A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer?.
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A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A concave shaving mirror has a radius of curvature of 35.0 cm. It is positioned so that the (upright) image of a man’s face is 2.50 times the size of the face. How far is the mirror from the face?a)5.25 cmb)21.0 cmc)10.5 cmd)42 cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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