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karthiksrichandra (5)

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 height of tap is 5mt.when 5th drop was going to fall 1st drop touches ground.what is the height of 3rd drop from flour
    
avish_22 (0)

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3.75 m
 
when !st on floor..5th is falling it means first take 2t sec(say)
2t=root of( 2h/g)
t=1/2 sec...
this means...third drop has fallen by 1/2 sec
h=1/2gt(sq.)=1.25 from top
 
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sankydreams (983)

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let drops fall after time interval t and first drop falls at t=0
second drop falls after time t
third after 2t
fifth after 4t

clearly from the ques
time taken by first drop to reach ground = 4t
using second eqn of motion and putting u = 0 for first drop
5 = 1/2g*(4t)^2
putting g= 10
u get t = 1/4

for third drop , time = 2t =1/2
s= 1/2 * 10 * 1/4
= 10/8 = 1.25 from tap
from ground ht = 5 - 1.25 = 3.75
Correct if i m wrong
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swatygupta (689)

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time taken for each drop to reach to the ground:
 
h=1/2gt2
 
5 = 0.5gt2
 
t = 1 sec
 
when 5th drop starts to fall, 1st reaches the ground. So the rate of falling of drops is 4 balls per sec (or 1 ball per 0.25 sec)
so when the third ball would have started, time passed would be 0.5 sec
 
after that 0.5 sec more have passed.. so the third is now in the air.
 
and the distance traversed by it is:
 
y=1/2gt2
y=1/2(10)(0.5)2
y=1.25m
 
thus, the height from the ground is 3.75m

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elessar_iitkgp (2259)

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Let the time interval between falling of drops be T1. The distance travelled by the drops is illustrated in the diagram.
8gT12 = 5
T1 = 1/4
So distance moved by the third drop,
s3 = 2gT12 = 1.25 m from tap, ie, 3.75 m from ground




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