A) \[{{\rho }_{1}}<{{\rho }_{2}}<{{\rho }_{3}}\]
B) \[{{\rho }_{1}}<{{\rho }_{3}}<{{\rho }_{2}}\]
C) \[{{\rho }_{3}}<{{\rho }_{1}}<{{\rho }_{2}}\]
D) \[{{\rho }_{1}}>{{\rho }_{3}}>{{\rho }_{2}}\]
Correct Answer: B
Solution :
Heavier liquid settles down at the bottom So, \[{{\rho }_{1}}<{{\rho }_{2}}\] \[{{\rho }_{3}}<{{\rho }_{2}},\] otherwise, ball will sink \[{{\rho }_{3}}>{{\rho }_{1}}\], otherwise, ball will float in liquid 1 \[\therefore \,\,\,\,{{\rho }_{1}}<{{\rho }_{3}}<{{\rho }_{2}}\]You need to login to perform this action.
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