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JEE Advanced 2020 Full Test 1 Paper 1
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© examsnet.com
Question : 2 of 54
Marks:
+1
,
-0
A glass cylindrical vessel with base concave mirror of focal length
20
c
m
is filled with two immiscible liquid of refractive index 1.5 and
1.4
.
Thickness of liquid level are
15
c
m
and 14 cm respectively. A fish is moving vertically upward along principle axis of mirror with speed of
1
c
m
∕
s
. A bird is moving along vertically downward direction with
2
c
m
∕
s
.
A
small hole is made at bottom surface of vessel. When distance of fish from pole of mirror is
10
c
m
, the rate of liquid level falling is
1
c
m
∕
s
. (focal length of concave mirror is
20
c
m
). Then, at the given instant
Velocity of image of fish formed after reflection from mirror as seen by bird is
1
c
m
∕
s
along upward direction.
Velocity of image of fish after formed after reflection of mirror as seen by bird is
1
c
m
∕
s
along downward direction
Velocity of image of fish as seen by itself is
5
c
m
∕
s
along downward direction
Velocity of image of fish as seen by itself is
5
c
m
∕
s
along vertically upward direction
Validate
Solution:
For mirror, from mirror formula
1
V
+
1
−
10
=
1
−
20
⇒
V
=
+
20
m
=
−
V
u
=
2
For spherical mirror
v
1
=
−
m
2
v
0
=
−
4
×
1
=
−
4
c
m
∕
s
Now using concept of apparent depth
v
I
B
=
1
c
m
∕
s
along downward
v
I
F
=
5
c
m
∕
s
along downward
© examsnet.com
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