AP EAMCET · PHYSICS · Gravitation
Two bodies each of mass \(m\) are hung from a balance whose scale pans differ in a vertical height by \(h\). If the mean density of the earth is \(\rho\), the error in weighing is
- A \(\frac{4 \pi \rho G m h}{3}\)
- B \(\frac{3 \pi \rho \mathrm{Gmh}}{4}\)
- C \(\frac{8 \pi \rho \mathrm{Gmh}}{3}\)
- D \(\frac{3 \pi \rho \mathrm{Gmh}}{8}\)
Answer & Solution
Correct Answer
(C) \(\frac{8 \pi \rho \mathrm{Gmh}}{3}\)
Step-by-step Solution
Detailed explanation
Gravitational force on a body of mass \(m\) at height \(h\) due to earth, \[ F=\frac{G M_e m}{(R+h)^2} \] where, \(M_e\) is mass of the earth. \[ \because \text { Density of earth, } \rho=\frac{\text { mass of earth }\left(M_e\right)}{\text { volume of earth }(V)} \] or…
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