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Question

An insect moves along the sides of a wall of dimension 12m×5m, starting from one corner and reaches the diagonally opposite corner. If the insect takes 2s for its motion, then find the ratio of average speed to average velocity of insect.

A
12:5
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B
13:5
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C
17:13
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D
17:12
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Solution

The correct option is C 17:13
Given: The dimension of the wall is 12m×5m
Total time taken =2s
Total distance =AB+BC=12m+5m=17m

Total displacement =AC=AB2+BC2 (By Pythagoras theorem)
or, AC=52+122=169=13m

Average speed=Total distanceTotal time
Average speed=172 m/s

Average velocity=Total displacementTotal time
Average velocity=132 m/s

Average speedAverage velocity=1713

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