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Question: A body covered a distance of 5 m along a semicircular path. The ratio of distance to displacement is...

A body covered a distance of 5 m along a semicircular path. The ratio of distance to displacement is –

A

11 : 7

B

12 :5

C

8 : 3

D

7 : 5

Answer

11 : 7

Explanation

Solution

In semi-circular path, Distance = πr

& Displacement = 2r

∴    Distance  Displacement =πr2r=π2=117\frac { \text { Distance } } { \text { Displacement } } = \frac { \pi \mathrm { r } } { 2 \mathrm { r } } = \frac { \pi } { 2 } = \frac { 11 } { 7 }