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An object is situated at a distance of f/2 from a convex lens of focal length f. Distance of image will be
- a)-f
- b)+(f/3)
- c)-(f/2)
- d)+(f/4)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
An object is situated at a distance of f/2 from a convex lens of focal...
Thus , we have
1/v - 1/u = 1/f
Most Upvoted Answer
An object is situated at a distance of f/2 from a convex lens of focal...
Lens formula:- 1/f= 1/v-1/u
1/v= 1/f+1/u
given:-
u= -f/2
1/u= -2/f
putting value of u in formula, we get
1/v= 1/f + (-2/f)
1/v= 1/f - 2/f
1/v= 1-2/f
1/v= -1/f
v= -f
hence option (A) is totally correct...
Thank you... :-)
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Community Answer
An object is situated at a distance of f/2 from a convex lens of focal...
Explanation:
When an object is placed at a distance of f/2 from a convex lens of focal length f, we can use the lens formula to determine the distance of the image.
The lens formula is given by:
1/f = 1/v - 1/u
Where:
f = focal length of the lens
v = distance of the image from the lens
u = distance of the object from the lens
In this case, the distance of the object from the lens is f/2, so u = f/2.
Substituting the values into the lens formula, we have:
1/f = 1/v - 1/(f/2)
To simplify the equation, we can take the common denominator, which is 2f:
1/f = (2 - 1) / (2v)
1/f = 1 / (2v)
Cross multiplying, we get:
f = 2v
v = f/2
Therefore, the distance of the image is f/2, which is option A.
When an object is placed at a distance of f/2 from a convex lens of focal length f, we can use the lens formula to determine the distance of the image.
The lens formula is given by:
1/f = 1/v - 1/u
Where:
f = focal length of the lens
v = distance of the image from the lens
u = distance of the object from the lens
In this case, the distance of the object from the lens is f/2, so u = f/2.
Substituting the values into the lens formula, we have:
1/f = 1/v - 1/(f/2)
To simplify the equation, we can take the common denominator, which is 2f:
1/f = (2 - 1) / (2v)
1/f = 1 / (2v)
Cross multiplying, we get:
f = 2v
v = f/2
Therefore, the distance of the image is f/2, which is option A.
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