A track consists of three semi-circular tracks. Find the ratio of displacement and distance travelled during the motion.

1 : 3 π

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4 : 5 π

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2 : 3 π

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3 π : 2

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Solution

The correct option is C $2 : 3 π$
Distance = length of path = $π R + π R + π R = 3 π R$
Displacement $= 2 R$
The ratio of magnitude of displacement and distance is $= 2 R : 3 π R = 2 : 3 π$

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A track consists of three semi-circular tracks. Find the ratio of displacement and distance travelled during the motion.

The correct option is C 2:3πDistance = length of path = πR+πR+πR=3πR Displacement =2R The ratio of magnitude of displacement and distance is =2R:3πR=2:3π

The correct option is C $2 : 3 π$
Distance = length of path = $π R + π R + π R = 3 π R$
Displacement $= 2 R$
The ratio of magnitude of displacement and distance is $= 2 R : 3 π R = 2 : 3 π$