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Q.

An ice block is floating in a liquid of specific gravity ρ , when ice melts, the level of fluid.

List 1List II
A) Rise upP) ρ=1
B) Falls down Q) ρ>1
C) Remain unchanged  R) ρ<1
D) Fraction of volume of ice block in water isS) 0.9
 T) 0.1

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a

AQ; BP; CR; DS

b

AQ; BR; CP; DT

c

AQ; BR; CP; DS

d

AR; BQ; CP; DS

answer is C.

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Detailed Solution

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Let's remove the ice block keeping the vacancy intact.

Volume of vacancy, Vc=ρiVρl

Volume of melted ice, V'=ρiVρw

Level will rise up, if V'>Vi. Thus, ρl>ρw.

Level will fall down, if V'<Vi. Thus, ρl<ρw.

Level will remain same, if V'=Vi. Thus, ρl=ρw.

Fraction of volume of ice block in water is ρiρw=9001000=0.9

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