Questions
A particle is dropped vertically from rest, from a height. The time taken by it to fall through successive distance of 1 km each will then be:
a
All equal, being equal to 2/g second
b
In the ratio of the square roots of the integers 1 , 2 , 3 , …
c
In the ratio of the difference in the square roots of the integers, i.e., 1 , (2−1) , (3−2) , (4−3) , …
d
In the ratio of the reciprocals of the square roots of the integers, i.e.,11 , 12 , 13 ,…
detailed solution
Correct option is C
Time taken to cover n metre is given by n=12gtn2 or tn=2ng Time taken to cover (n+1) metre is given bytn+1=2(n+1)g ∴ tn+1−tn=2(n+1)g−2ng =2g[n+1−n] This given ratios as:1 , (2−1) , (3−2) , … , etc,Talk to our academic expert!
Similar Questions
An object is vertically thrown upwards. Then the displacement-time graph for the motion is as shown in
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