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water drops fall at regular intervals from a roof. at an instant when a drop is about to leave the roof the separations between three successive drops below the roof are in what ratio? please answer fast....

goutham 1995 gumm , 13 Years ago

Grade 12

7 Answers

Swapnil Saxena

Last Activity: 13 Years ago

The answer is 5:3:1

Let the interval be t. Then the first drop of the three has left t sec before, second has 2t sec and the third one at 3t sec. Then the distances covered by them respectively are

0(Drop about to fall), 1/2(t²) (I drop) , 2t² (II drop), 9/2 t²(III drop)

The distances b/w them r in ratio (5/2)t²: (3/2)t² : (1/2)t²= 5:3:1

goutham 1995 gumm

Last Activity: 13 Years ago

the answer is 1:2:3...can someone tell how?

Vinay

Last Activity: 8 Years ago

let the time interval be t. so for first drop the time elapsed is 3t. for second it’s 2t and for third it’s t.

so distance covered by them be s1,s2,and s3 respectively.

s1 = 1/2(g)((3t)^2) -------(1)

s2 = 1/2(g)((2t)^2) -------(2)

s3 = 1/2(g)(t^2) ---------(3)

so ration of drop1,-2and -3 is

from drop3 to drop1

1:4:9

And this is the right answer indeed!!!!

vaibhav

Last Activity: 7 Years ago

149 is right answer

Shreya Nehra

Last Activity: 7 Years ago

the correct answer is 1:3:5 because after we have taken out the three distances from the top , we need to take out the ratio of distances BETWEEN THE DROPS as this is what has been asked in the question and NOT the ratio of distances of the drops from the top.

Kohav Dey

Last Activity: 7 Years ago

Let the acceleration be a which is same for all drops.

Let time for 1^st drop be t, 2^nd drop be 2t, 3^rd drop be 3t.

therefore

distance covered y 1^st drop: u=0, 1/2at^2, 2^nd drop : 2at^2, 3^rd drop : 9at^2/2.

therefore distance between 1^st and 2^nd drop :3/2at^2, 2^nd and 3^rd drop:5/2at^2,1st and 3^rd drop: 4at^2.

therefore the ratio is 3:5:4.

Dhruv garg

Last Activity: 6 Years ago

The answer for the question is 1:3:5because it is asking for the particle which has not started to move yet

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