Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q98 (CAPF/2009) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

A person moves along a circular path by a distance equal to half the circumference in a given time. The ratio of his average speed to his average velocity is ;

Result
Your answer: —  Â·  Correct: B
Explanation

When a person moves along a circular path of radius 'r' for half the circumference, the distance covered is πr [t3][t4]. The displacement, defined as the shortest distance between the initial and final points, is equal to the diameter of the circle, which is 2r [t8][t9]. Average speed is calculated as total distance divided by total time (πr/t), while average velocity is total displacement divided by total time (2r/t) [t1][t8]. To find the ratio of average speed to average velocity, we divide (πr/t) by (2r/t), which simplifies to π/2. Numerically, this is approximately 3.14/2 = 1.57. Among the given options, '0-5TI' is a typographical representation of 0.5π (or π/2), which matches the calculated ratio [t2].

How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
100%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

CAPF · 2013 · Q10 Relevance score: 1.12

As shown in the above diagram, a person starts from the centre O of a circular path AB, walks along the line indicated by arrows and returns to the same point. If the radius OA = OB = 100 metres, what is the total distance walked to the nearest metres?

NDA-I · 2023 · Q55 Relevance score: -0.23

A particle is moving in a circle of radius R with a constant speed v. Its average acceleration over the time when it moves over half the circle is :

NDA-II · 2024 · Q91 Relevance score: -0.78

A vehicle starts moving along a straight line path from rest. In first t seconds it moves with an acceleration of 2 m/s2 and then in next 10 seconds it moves with an acceleration of 5 m/s2. The total distance travelled by the vehicle is 550 m. The value of time t is

CDS-I · 2014 · Q88 Relevance score: -0.89

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

NDA-II · 2014 · Q49 Relevance score: -1.28

A particle is moving in a circular path of radius r at a constant speed v. Which one of the following graphs correctly represents its acceleration a?