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A cube made of wood having specific grav...

A cube made of wood having specific gravity `0.4` and side length `a` is floated in a large tanck full of water.

Which action woukd change the depth to which block is submerged? `(gamma_("wood") lt gamma_("water"))`

A

more water is added in the tank

B

atmospheric pressure increases

C

the tank is accelerated upwards

D

A small coin is placed over the cube

Text Solution

Verified by Experts

The correct Answer is:
D
`mg = F_(b), a^(2) xx 0.4 rho g = a^(2) h rho g`
`h = (2)/(5)a, m = a ^(3) xx 0.4, F_(net) =a^(2) x rho g`
`T = 2pi sqrt((a^(3) xx 0.4 rho)/(a^(2) rho g)) , T = 2pi sqrt((2a)/(5g))`
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Knowledge Check

  • A cube made of wood having specific gravity 0.4 and side length a is floated in a large tank full of water. Which action would change the depth to which block is submerged?

    A
    more water is added in the tank
    B
    atmospheric pressure increases
    C
    the tank is accelerated upwards
    D
    None of these

  • A cube made of wood having specific gravity 0.4 and side length a is floated in a large tank full of water. What can be the maximum amplitude of it's vertical small oxillations?

    A
    `a/2`
    B
    `0.4` a
    C
    `0.6` a
    D
    `0.2` a

  • A cube made of wood having specific gravity 0.4 and side length a is floated in a large tanck full of water. What can be maximum amplitude of it's vertical simple harmonic motion?

    A
    `(a)/(2)`
    B
    `0.4a`
    C
    `0.6a`
    D
    `0.2a`

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