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A body falls freely from the top of a tower. It covers 36% of the total height in the lkast second before striking the ground level. The height of the tower is
A. 50 m
B. 75 m
C. 100 m
D. 125 m

1 Answer

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Correct Answer - D
Let height of tower is h and body takes t time to reach to ground when it fall freely.
`therefore h = (1)/(2) g t^(2)` ….(i)
In last second i.e., t th second body travels `= 0.36 h`
It means in rest of the time i.e., in (t - 1) second it travels
`=h-0.36h=0.64h`
Now applying equation of motion for (t - 1) second
`0.64h=(1)/(2)g(t-1)^(2)`
From Eqs. (i) and (ii) we get, t = 5 s and h = 125 m

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