TWO BODIES OF MASSES M1 AND M2 ARE DROPPED FROM HEIGHTS H1 AND H2 RESPECTIVELY.THEY REACH THE GROUND AFTER TIME T1 AND T2 RESPECTIVELY.WHICH OF THE FOLLOWING RELATION IS CORRECT?
 

1.T1/T2=[H1/H2]1/2

2.T1/T2=H1/H2

3.T1/T2=[M1/M2]1/2

4.T1/T2=M1/M2

Asked by gpnkumar0 | 28th Jun, 2016, 06:47: PM

Expert Answer:

begin mathsize 12px style Masses space straight T subscript 1 space and space straight T subscript 2 space be space the space time space taken space by space the space each space body space to space fall space down space to space the space ground space respectively.
We space know space that space straight H equals space 1 half gT squared
We space get space straight H subscript 1 equals space space 1 half gT subscript 1 superscript 2 space and space straight H subscript 2 equals space space 1 half gT subscript blank squared end subscript superscript 2
using space the space above space equation space and space taking space ratio comma space we space get
rightwards arrow straight H subscript 1 over straight H subscript 2 equals fraction numerator straight T subscript 1 superscript 2 over denominator straight T subscript blank squared end subscript superscript 2 end fraction
rightwards double arrow straight T subscript 1 over straight T subscript 2 equals open parentheses straight H subscript 1 over straight H subscript 2 close parentheses to the power of 1 divided by 2 end exponent
end style

Answered by Yashvanti Jain | 29th Jun, 2016, 12:08: PM