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Densities of four liquids A, B, C and D are given below :

LiquidABCD
Density (kg/m3)7858209241020

Based on this information, identify the correct statement from the following :

  • A.An object that floats in liquid C may or may not float in liquid A.
  • B.An object that floats in liquid A may or may not float in liquid B.
  • C.An object that floats in liquid B surely floats in liquid A.
  • D.An object that floats in liquid C surely floats in liquid B.

Answer: A

The correct statement is that an object that floats in liquid C may or may not float in liquid A.

An object floats in a liquid if its density is less than the liquid's. An object floating in C (924 kg/m³) has density below 924; it will also float in A (785) only if its density is below 785, so it may or may not.

The other statements fail. An object floating in A has density below 785, so it surely floats in the denser B; 'may or may not' is wrong. An object floating in B (below 820) need not float in the less dense A, and one floating in C (below 924) need not float in B (820).

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