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JEE Advanced 2020 Full Test 1 Paper 1

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Question : 2

Total: 54

A glass cylindrical vessel with base concave mirror of focal length 20cm is filled with two immiscible liquid of refractive index 1.5 and 1.4. Thickness of liquid level are 15cm and 14 cm respectively. A fish is moving vertically upward along principle axis of mirror with speed of 1cm∕s. A bird is moving along vertically downward direction with 2cm∕s. A small hole is made at bottom surface of vessel. When distance of fish from pole of mirror is 10cm, the rate of liquid level falling is 1cm∕s. (focal length of concave mirror is 20cm ). Then, at the given instant

Velocity of image of fish formed after reflection from mirror as seen by bird is 1cm∕s along upward direction.
Velocity of image of fish after formed after reflection of mirror as seen by bird is 1cm∕s along downward direction
Velocity of image of fish as seen by itself is 5cm∕s along downward direction
Velocity of image of fish as seen by itself is 5cm∕s along vertically upward direction

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