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If a disc slides from top to bottom in an inclined plane, it takes time . If it rolls, it takes time . Now, is:

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a

b

c

d

answer is C.

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Detailed Solution

Concept- The disc is slipping in the first instance, whereas it is rolling in the second. Therefore, we must determine how long it will take the disc in both scenarios to reach the bottom. To get the time, we'll apply Newton's second equation of motion.

Initial velocity in both cases is zero. Acceleration in sliding case is given by-

and in rolling case acceleration is given by- Question Image

Let the length of the inclined plane by 1 and it is inclined at an angle

When the disc slides, then the time taken is given by
Question Image

When the disc rolls, then the time taken is given by

So,

Question Image

Hence, option 3 is correct.

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