A) lf\[\sigma <\rho \] the string will slack and block sinks
B) If \[\sigma <\rho \] the string is taut
C) if \[\sigma >\rho \] the string is taut
D) If \[\sigma >\rho \]the string is taut and tension in string is\[\frac{\sigma -\rho }{\rho }\times mg\]
Correct Answer: B
Solution :
If \[\sigma <\rho \]the gravitational force is greater then buoyancy force and hence string slacks & block sink When \[\sigma >\rho \]the FBD of block is as shown in figure \[{{F}_{b}}=\frac{m}{\rho }\sigma g=mg+T\] \[\Rightarrow \]\[T=mg\left( \frac{\sigma -\rho }{\rho } \right)\]You need to login to perform this action.
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