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Question

Question: A body of density \(d _ { 2 }\) in air of density d. Then the true mass of the body is...

A body of density d2d _ { 2 } in air of density d. Then the true mass of the body is

A

M

B

M(1dd2)M \left( 1 - \frac { d } { d _ { 2 } } \right)

C

M(1dd1)M \left( 1 - \frac { d } { d _ { 1 } } \right)

D

M(1d/d2)(1d/d1)\frac { M \left( 1 - d / d _ { 2 } \right) } { \left( 1 - d / d _ { 1 } \right) }

Answer

M(1d/d2)(1d/d1)\frac { M \left( 1 - d / d _ { 2 } \right) } { \left( 1 - d / d _ { 1 } \right) }

Explanation

Solution

Let M0=M _ { 0 } =mass of body in vacuum.

Apparent weight of the body in air = Apparent weight of

standard weights in air

\Rightarrow Actual weight – upthrust due to displaced air = Actual

weight – upthrust due to displaced air

\Rightarrow

.