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Question

A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. If the distance between parallel walls and lens is $$'d'$$ then, required focal length of lens placed in between the walls is:


A
Only d4
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B
Only d2
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C
More than d4 but less than d2
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D
Less than or equal to d4
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Solution

The correct option is B Only $$\dfrac{d}{2}$$
R.E.F image 
A real image is to be formed on the $$2^{nd}$$ all of the bulb placed on the first wall by the convex lens. The lens is placed at a distance of d from the $$2^{nd}$$ wall 

Now, we know that to form a real image of an object on a screen by a convex lens,

the distance between the source and the screen (D) should be equal to 4f, where f is 
the focal length of the lens.
in that caus,
 $$ u = v = D/2 = d $$

$$ f = D/4 = d/2 $$ 

Physics

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