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Q.

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


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

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.
Question ImageInitial velocity in both cases is zero. Acceleration in sliding case is given by-Question Imageand in rolling case acceleration is given by-Question ImageLet the length of the inclined plane by 1 and it is inclined at an angle Question Image When the disc slides, then the time taken is given by
Question ImageQuestion ImageWhen the disc rolls, then the time taken is given by
Question ImageSo,
Question ImageQuestion ImageHence, option 3 is correct.
 
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