A) \[\frac{{{w}_{1}}{{\rho }_{1}}-{{w}_{2}}{{\rho }_{2}}}{{{w}_{1}}+{{w}_{2}}}\]
B) \[{{w}_{1}}=\frac{{{w}_{1}}{{\rho }_{2}}-{{w}_{2}}{{\rho }_{2}}}{{{\rho }_{2}}-{{\rho }_{1}}}\]
C) \[w=\frac{{{w}_{1}}{{\rho }_{1}}+{{w}_{2}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\]
D) \[w=\frac{{{w}_{1}}{{\rho }_{1}}+{{w}_{2}}{{\rho }_{1}}}{{{\rho }_{1}}+{{\rho }_{2}}}\]
Correct Answer: B
Solution :
Loss in weight of liquid of density \[{{\rho }_{1}}=(w-{{w}_{1}})kg.\] if V is the volume of the body then \[V{{\rho }_{1}}=w-{{w}_{1}}\] \[\Rightarrow \] \[V=\frac{w-{{w}_{1}}}{{{\rho }_{1}}}\] Similarly, \[V{{\rho }_{2}}=w-{{w}_{2}}=V=\frac{w-{{w}_{2}}}{{{\rho }_{2}}}\] \[\frac{w-{{w}_{1}}}{{{\rho }_{2}}}=\frac{w-{{w}_{2}}}{{{\rho }_{2}}}\] \[w=\frac{{{w}_{1}}{{\rho }_{1}}-{{w}_{2}}{{\rho }_{2}}}{{{T}_{2}}-{{T}_{1}}}\]You need to login to perform this action.
You will be redirected in
3 sec