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Q.

A body freely falls from a certain height onto the ground in a time ‘t’. During the first one third of the interval it gains a kinetic energy Δk1, and during the last one third of the interval, it gains a kinetic energy Δk2,  The ratioΔk1:Δk2  is

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a

1 : 4

b

1 : 5

c

1 : 3

d

1 : 1

answer is D.

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Detailed Solution

downward distance covered in time t , h=12gt2

applying Conservation of mechanical energy, 

K  h 

K1t29 

and, K2t2-4t29=5t29

 ΔK1 : ΔK2=1:5

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A body freely falls from a certain height onto the ground in a time ‘t’. During the first one third of the interval it gains a kinetic energy Δk1, and during the last one third of the interval, it gains a kinetic energy Δk2,  The ratioΔk1:Δk2  is