TS EAMCET · Physics · Units and Dimensions
Consider a spongy block of mass \(m\) floating on a flowing river. The maximum mass of the block is related to the speed of the river flow \(v\), acceleration due to gravity \(g\) and the density of the block \(\rho\) such that \(m_{\max }=k v^x g^y \rho^z(k\) is constant \()\). The values of \(x, y\) and \(z\) should then respectively be
(Mass of the spongy block is assumed to vary due to absorption of water by it)
- A \(6,3,2\)
- B \(6,-3,1\)
- C \(3,6,1\)
- D \(6,1,3\)
Answer & Solution
Correct Answer
(B) \(6,-3,1\)
Step-by-step Solution
Detailed explanation
Since, the maximum mass of the block floating on river depends, speed of flow of the river \(=v\), acceleration due to gravity \(=g\) and density of the block \(=\rho\), \(m_{\max }=k v^x g^y \rho^z\) Compairing the dimensions of \(\mathrm{M}, \mathrm{L}\) and \(\mathrm{T}\) on…
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