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JEE Advanced 2020 Paper 2
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© examsnet.com
Question : 1
Total: 54
A large square container with thin transparent vertical walls and filled with water ( refractive index
4
3
) is kept on a horizontal table. A student holds a thin straight wire vertically inside the water
12
c
m
from one of its corners, as shown schematically in the figure. Looking at the wire from this corner, another student sees two images of the wire, located symmetrically on each side of the line of sight as shown. The separation (in
c
m
) between these images is_________.
[JEE Adv 2020 P2]
Your Answer:
Validate
Solution:
y co-ordinate of first image S' is 'y'
4
3
‌
sin
‌
i
=
sin
‌
45
°
⇒
sin
‌
i
=
1
√
2
3
4
i
≈
32
°
∴
θ
=
45
−
i
So slope of the line passing through (-12,0) is
m
=
tan
(
45
−
i
)
=
1
−
tan
‌
i
1
+
tan
‌
i
⇒
m
=
√
23
−
3
√
23
+
3
∴
Eq
⇒
y
=
(
√
23
−
3
)
x
√
23
+
3
+
12
(
√
23
−
3
)
(
√
23
+
3
)
Other equation
y
=
−
x
Now
y
=
−
(
√
23
−
3
)
y
√
23
+
3
+
12
(
√
23
−
3
)
(
√
23
+
3
)
⇒
y
=
(
2
×
23
√
23
+
3
)
=
12
(
√
23
−
3
)
(
√
23
+
3
)
2
y
=
12
(
√
23
−
3
)
√
23
≈
4.5
≈
4
So, separation between two images is 4 cm.
© examsnet.com
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