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A particle is dropped from certain heigh...

A particle is dropped from certain height. The time taken by it to fall through successive distance of 1 m each will be

A

all equal, being equal to `sqrt(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.,
`sqrt(1), (sqrt(2)-sqrt(21)), (sqrt(3) - sqrt(2)), (sqrt(4) - sqrt(3))`, ….

D

in the ratio of the reciprocals of the square roots of the integers, i.e., `(1)/(sqrt(1)), (1)/(sqrt(2)), (1)/(sqrt(3))`, …..

Text Solution

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The correct Answer is:
C
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