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Two ice cubes of side 10cm, having cavity of volume 20cm^(3) at centre of cube but filled with different materials A and B respectively. The specific gravity of material B is 1.9 Now these cubes are placed in two different vessels of same base area as shown in figure. The water level before putting blocks in vessels are same Assume that ice melts uniformly from all sides and with same constant rate in both the vessels. (specific gravity of ice=0.9) Choose the correct graph showing the variation of heights of water- level in two vessels with time |
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Answer»
LET at `t=t_(0),` cube A sinks. `vrho_(w)G=(v-Deltav)rho_(i)g+Deltavrho_(m)g` v is volume of cube which is changing linerarly with time at `tgtt_(0)` `vrho_(w)g+N_(A)=(v-Deltav)rho_(i)g+Deltavrho_(m)g` after sinking water level decreases due to melting of ice, `1/10(dv)/(dt)=A(dh_(1))/(dt),` A-cross-sectionof vessel Let at t=`t_(0)`cube B sinks `v'rho_(w)g=(v'-Deltav)rho_(i)g+Deltavrho'_(m)g` `1/10 (dv)/(dt)=A (dh_(2))/(dt)` `:. (dv)/(dt)=(dv)/(dt) Rightarrow (dh_(1))/(dt)=(dh_(2))/(dt)` final heights are same in both reach. |
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