JEE (Advanced) 2018 Paper-1 Question 9

Instructions

For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 6.25, 7.00, -0.33, -.30, 30.27, -127.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer.

Question 9

A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $$60^\circ$$ with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is $$\frac{2-\sqrt{3}}{\sqrt{10}}$$ S then the height of the top of the inclined plane, in meters, is __________. Take $$g = 10 ms^{-2}$$


Correct Answer: e



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