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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. `sqrt1 , (sqrt2 - sqrt1), (sqrt3 - sqrt2) , (sqrt4 - sqrt3)` ……

D

In the ratio of the reciprocal of the square roots of the integers i.e.,. `(1)/(sqrt1), (1)/(sqrt2) , (1)/(sqrt3) , (1)/(sqrt4)`

Text Solution

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The correct Answer is:
C
In the ratio of the difference in the square roots of the integers i.e. `sqrt1 , (sqrt2 - sqrt1), (sqrt3 - sqrt2) , (sqrt4 - sqrt3)` ……
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Knowledge Check

  • A particles is dropped from certain height. The tame 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(1)),(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))` ,,…

  • A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then 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(1)), (sqrt(3) - sqrt(2)), (sqrt(4) - sqrt(3))....`
    D
    In the ratio of the reciprocal of the square roots of the integers i.e. `1/(sqrt(1)) ,1/(sqrt2), 1/(sqrt3), 1/(sqrt4)`.....

  • A body is dropped from a certain height.

    A
    the time taken to travel first half of the height is greater than that for second half.
    B
    time time taken to travel first half of the height is less than that for second half
    C
    the time taken to travel first half of the height is equal to that for second half
    D
    any one of the above three situations may be correct depending upon the value of height.