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AP EAMCET · PHYSICS · Thermal Properties of Matter

A metal sphere immersed in water weighs \(w_1\) at \(0^{\circ} \mathrm{C}\) and \(w_2\) at \(50^{\circ} \mathrm{C}\). The coefficient of cubical expansion of the metal is less than that of water. Then

  1. A \(W_1>W_2\)
  2. B \(W_1 < W_2\)
  3. C \(W_1=W_2\)
  4. D \(W_1=2 W_2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(W_1 < W_2\)

Step-by-step Solution

Detailed explanation

Apparent weight of object in water, \[ \begin{aligned} & w \propto \frac{\text { density of object (sphere) }}{\text { density of water }} \\ & w \propto \frac{d_s}{d_w} \end{aligned} \] As, cubical expansion \((Y)\) of metal is less than water, thats why ratio of density of…
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