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A plano–convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?
  • a)
    The refractive index of the lens is 2.5
  • b)
    The radius of curvature of the convex surface is 45 cm
  • c)
    The faint image is erect and real
  • d)
    The focal length of the lens is 20 cm
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A plano–convex lens is made of a material of refractive index n....
For lens
On solving we get f = + 20 cm and v = 60 cm.
For reflection
The image formed by convex side is faint erect and virtual.
By lens maker formula
 
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A plano–convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?a)The refractive index of the lens is 2.5b)The radius of curvature of the convex surface is 45 cmc)The faint image is erect and reald)The focal length of the lens is 20 cmCorrect answer is option 'A,D'. Can you explain this answer?
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A plano–convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?a)The refractive index of the lens is 2.5b)The radius of curvature of the convex surface is 45 cmc)The faint image is erect and reald)The focal length of the lens is 20 cmCorrect answer is option 'A,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A plano–convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?a)The refractive index of the lens is 2.5b)The radius of curvature of the convex surface is 45 cmc)The faint image is erect and reald)The focal length of the lens is 20 cmCorrect answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plano–convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is(are) true?a)The refractive index of the lens is 2.5b)The radius of curvature of the convex surface is 45 cmc)The faint image is erect and reald)The focal length of the lens is 20 cmCorrect answer is option 'A,D'. Can you explain this answer?.
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