Properties Of Solids And Liquids Question 287

Question: A body of density d1 is counterpoised by Mg of weights of density d2 in air of density d. Then the true mass of the body is

Options:

A)M

B)M(1−dd2)

C)M(1−dd1)

D)M(1−d/d2)(1−d/d1)

Show Answer

Answer:

Correct Answer: D

Solution:

Let M0= mass of body in vacuum. Apparent weight of the body in air = Apparent weight of standard weights in air

⇒ Actual weight -upthrust due to displaced air = Actual weight-upthrust due to displaced air⇒

M0g−(M0d1)dg=Mg−(Md2)dg

⇒M0=M[1−dd2][1−dd1]

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