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Two objects A & B are immersed in water and their weights are measured using a spring balance. The following table is based on the readings obtained Object Weight of object in air (gm/Wt) Weight of object in water (gm/Wt) Weight of water displaced (gm/Wt) Force of up thrust acting on object (gm/Wt) A X 55 Y 10 B 80 Q 5 Z Which of the following values would complete the table correctly

Two objects A & B are immersed in water and their weights are measured using a spring balance. The following table is based on the readings obtained Object Weight of object in air (gm/Wt) Weight of object in water (gm/Wt) Weight of water displaced (gm/Wt) Force of up thrust acting on object (gm/Wt) A X 55 Y 10 B 80 Q 5 Z Which of the following values would complete the table correctly Correct Answer X - 65,Y - 10, Q - 75, Z - 5

Explanation:

According to Archimedes' Principle:

  • When a body is immersed fully or partially in a fluid, it experiences an upward force that is equal to the weight of the fluid displaced by it.

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For Object A:

  • A force of upthrust acting on object  = 10 gm/wt
  • So, we know that A force of upthrust acting on an object =  weight of water displaced
  • Therefore for the value of Y = 10 gm/wt
  • We know that Upthrust = weight in the air - weight in water

           ⇒ 10 = X - 55

           ⇒ X = 55 + 10 =  65 gm/wt

For Object B:

  • Weight of water displaced = 5 gm/wt
  • So, we know that A force of upthrust acting on an object =  weight of water displaced
  • Therefore for the value of Z = 5 gm/wt
  • We know that Upthrust = weight in the air - weight in water                       

    ⇒ 5 = 80 - Q

    ⇒ Q = 80 - 5 = 75 gm/wt

Thus, from the above discussion, it is clear that the correct answer is X - 65, Y - 10, Q - 75, and Z - 5.

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