Question

Calculate the ratio of distance to displacement
(1) 11:7
(2) 7 : 11
(3) 11 : √2x7
(4) 7: 112
Distance travelled by the tip of minute hand of length
10 cm in 100 sec is
TE
m
(2)
(
4
TV
m
360
180
70
m
14)
3r
m
2160
1200​

Answer 1

DATA GIVEN –

Body moves along the curved path of only quarter of a circle.

TO FIND –

Ratio between distance and displacement.

ANSWER AND EXPLANATION –

Say the radius of the circle be ' r '.

Distance indicates the total length of the path covered by the person. Since the person covers only the curved part of a quarter of a circle, the distance = πr/2

And to answer how,

circumference of a circle = 2πr

Since the distance covered by the person is only one fourth of the circumference of a circle. We can say that the distance covered by the person = 2πr/4 = πr/2

So the distance ( d ) = πr/2 .

Now coming to the point of displacement, it is nothing but the length of the shortest path possible between initial and final points.

In the case of a quadrant, the term displacement indicates the hypotenuse of the two radii which are taken as sides.

We know that,

Here the hypotenuse indicates the displacement ( s ) and the sides indicate the radii ( r ).

So,

So displacement ( s ) =

Ratio of Distance and Displacement

= d : s = d/s

So, π: (2√2) is the answer.

In the terms of numbers, the answer = 11 : 7√2 since π = 22/7.

please select the answer as brainliest.