KVPY SX SB Exam 19-Nov-2017 Question Paper

Four identical beakers contain same amount of water as shown below. Beaker 'a' contains only water. A lead ball is held submerged in the beaker 'b' by string from above. A same sized plastic ball, say a table tennis (TT) ball, is held submerged in beaker 'c' by a string attached to a stand from outside. Beaker 'd' contains same sized TT ball which is held submerged from a string attached to the bottom of the beaker. These beakers (without stand) are placed on weighing pans and register reading ${\mathit{W}}_{\mathit{a}},{\mathit{W}}_{\mathit{b}},{\mathit{W}}_{\mathit{c}}$ and ${\mathit{W}}_{\mathit{d}}$ for a, b, c and d, respectively. (Effects of the mass and volume of the stand and string are to be neglected)