JEE quesn doubt in ans

A plano-convex lens has a thickness of 4 cm. When placed on a horiz. table , with the curved surface in contact with it , the apparent depth of the bottom most pt. of the lens is found to be 3 cm. If the lens is inverted such that the the table , the apparent depth of the centre of the plane face of the lens is found to be 25/8 cm. Find the focal length of the lens.

I m gettin the ans 75 cm

while the ans given is 72 cm and 75 cm....

can som1 explain how the ans can be 72 also??

6 Answers

1
kunl ·

i m not even getting how to start [2]...iska jitna aapse bana utna toh solution batao

6
AKHIL ·

:P

look what i did is this:

In the 1st case , the real thickness = 4 cm and apparent thickness = 3 cm.

therefore , ref. index = 4/3

In the 2nd case , the rays travel frm Pole thru glass . They r refracted on the spherical surface , and give its image at a distance 25/8 cm frm point P on the curved surface.

so u = - 4 cm

v = -25/8 cm

r is radius of curvature

so usin the formula : \frac{\mu }{v} - \frac{1}{u} = \frac{(\mu -1)}{r}

r = -25 cm.

then applyin lens maker's formula ,
focal length comes out to be 75 cm.

but what abt the other one , 72??

1
swordfish ·

Who gave 72 cm?
I have done this question before and the answer is only 75cm.

6
AKHIL ·

actually i hav FIITJEE archive which has given 2 answers , 72 and 75.

1
swordfish ·

I have Brilliant-tutorials archive and they gave only 75 ;)

6
AKHIL ·

:D

ok then.........

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