A) \[\operatorname{mgH} + mgnT\]
B) \[mn\,(gT\,+\,\,\sqrt{2\,\,gH})\]
C) \[\operatorname{mng}\,\sqrt{2\,gH}\]
D) None of these
Correct Answer: B
Solution :
Reading of weighing pan is due to two reasons = [Force due to momentum transfer to it + force due to weight] Force exerted due to momentum transfer \[\frac{dp}{dt}=\frac{d}{dt}[m\sqrt{2gH}\,\times nT]=mn\sqrt{2gH}\] Force due to weight \[=\,\,\,mg \times \,\,nT = mgn\,T\] \[\therefore \] Reading to weighing \[\operatorname{pan}=mgn\,T\,\,+\,\,mn\,\sqrt{2gH}\] \[=\,\,\,mn(gT\,\,+\,\,\sqrt{2gH})\]You need to login to perform this action.
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