AP EAMCET · PHYSICS · Units and Dimensions
A physical quantity obtained from the ratio of the coefficient of thermal conductivity to the universal gravitational constant has a dimensional formula \(\left[\mathrm{M}^{2 a} \mathrm{~L}^{4 b} \mathrm{~T}^{2 c} \mathrm{~K}^d\right]\), then the value of \(\frac{a+b}{c+b}-d\) is
- A \(+\frac{3}{2}\)
- B \(-\frac{1}{2}\)
- C \(-\frac{3}{2}\)
- D \(+\frac{1}{2}\)
Answer & Solution
Correct Answer
(D) \(+\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
Dimensional formula of thermal conductivity \([k]=\left[\mathrm{M}^1 \mathrm{~L}^1 \mathrm{~T}^{-3} \mathrm{~K}^{-1}\right].\) Dimensional formula of universal gravitational constant, \([G]=\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]\) Now,…
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