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Figureshows a number of equal steps. If ...

Figureshows a number of equal steps. If the 'rise' of each step is h cm, are there are n steps, make a formula for the height (H) in centrimeters of the steps.

A

`H=(1)/(2)nH`

B

`H=2nh`

C

`H=nh`

D

`H=n^(2)h`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If the 'tread' of each step is a cm, and there are n steps, make a formula for the length (d cm) of AB.

    A
    `d=(1)/(2)na`
    B
    `d=na`
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    D
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  • The formula for the step deviation method of finding the mean is-

    A
    `barX = (sumx)/(N)`
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    `barX =A + (sum d_x)/(N)`
    C
    `barX =A + (sum d_x)/(N) XI`
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    `barX = (sumf_x)/(sumf)`

  • A ball is bouncing down a set of stairs. The coefficient of restitution is e. The height of each step is d and the ball bounces one step at each bounce. After each bounce the ball rebounds to a height h above the next lower step. Neglect width of each step in comparison to h and assume the impacts to be effectively head on. Which of the following relative is correct ?

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