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CBSE Class 9 Answered

A body floats with 2/5 of volume above the surface of water calculate the density of material of the body
Asked by karanbora625 | 25 Oct, 2019, 11:30: AM
answered-by-expert Expert Answer

Let volume of body be V and d be the density 

  begin mathsize 14px style Volume space of space b o d y space immersed equals V minus 2 over 5 straight V
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 over 5 straight V end style

By the principle of flotation,

Weight of the body  =  Weight of the water displaced by the immersed part

begin mathsize 14px style straight V cross times straight d cross times straight g equals 3 over 5 cross times straight V cross times 1 cross times straight g space space space space left square bracket because density space of space water space is space taken space as space 1 space straight g space cm to the power of – 3 end exponent right square bracket straight d equals 3 over 5 equals 0.6 space straight g space cm to the power of negative 3 end exponent end style

 

Answered by Shiwani Sawant | 25 Oct, 2019, 02:08: PM
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