You are asked to jog in a circular track of radius 35 metres. Right at one complete round on the circular track, your displacement and the distance covered by you are respectively

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Q: 89 (CDS-I/2014)
You are asked to jog in a circular track of radius 35 metres. Right at one complete round on the circular track, your displacement and the distance covered by you are respectively

question_subject: 

Maths

question_exam: 

CDS-I

stats: 

0,56,26,56,9,16,1

keywords: 

{'circular track': [0, 0, 1, 1], 'distance': [0, 3, 3, 3], 'radius': [0, 0, 2, 2], 'metres': [0, 1, 1, 0], 'displacement': [0, 1, 0, 3], 'complete round': [0, 0, 0, 1]}

In a circular track, the distance covered is the circumference of the circle. In this case, the radius of the circular track is given as 35 meters.

Option 1 states that the displacement is zero and the distance covered is 220 meters. Displacement is the shortest distance between the starting and ending point. Since the track is circular, after one complete round, you return to the starting point. Therefore, your displacement is zero. The distance covered, which is the circumference of the circle, can be calculated using the formula C = 2πr, where r is the radius of the circle. Plugging in the given radius of 35 meters, we get C = 2π(35) = 220 meters. Thus, Option 1 is correct.

Option 2 states that the displacement is 220 meters and the distance covered is zero. This is incorrect because the displacement is always zero after one complete round on a circular track.

Option 3 states that the displacement is zero and the distance covered is 110 meters. This is incorrect because the circumference of the circle with a radius of 35 meters is 220 meters, not 110 meters.

Option 4 states that the displacement is 110 meters and the distance covered is 220 meters