An iron piece and a wooden piece have equal weights in air. If they are moved from air to vacuum __________.

the wooden piece appears to weigh more

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the iron piece appears to weigh more

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there is no change in the weight of either

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None of the above

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Solution

The correct option is A the wooden piece appears to weigh more
In air,
$(ρ_{i r o n} - ρ_{a i r}) V_{i r o n} = (ρ_{w o o d} - ρ_{a i r}) V_{w o o d}$
As, $ρ_{i r o n} > ρ_{w o o d} ⟹ V_{i r o n} < V_{w o o d}$
$⟹ ρ_{i r o n} V_{i r o n} - ρ_{w o o d} V_{w o o d} = ρ_{a i r} (V_{i r o n} - V_{w o o d}) < 0$
$⟹ ρ_{i r o n} V_{i r o n} < ρ_{w o o d} V_{w o o d}$

So Wooden piece will weigh more in vacuum.

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An iron piece and a wooden piece have equal weights in air. If they are moved from air to vacuum __________.

The correct option is A the wooden piece appears to weigh moreIn air,(ρiron−ρair)Viron=(ρwood−ρair)VwoodAs, ρiron>ρwood⟹Viron<Vwood⟹ρironViron−ρwoodVwood=ρair(Viron−Vwood)<0⟹ρironViron<ρwoodVwoodSo Wooden piece will weigh more in vacuum.