Experimental Physics

JEE Main level, single correct, medium

50 of 70

Question 50 of 70

A load of mass MkgMkg is suspended from a steel wire of length 2m2m and radius 1.0mm1.0mm in Searle's apparatus experiment. The increase in length produced in the wire is 4.0mm.4.0mm. Now the load is fully immersed in a liquid of relative density 2.2. The relative density of the material of load is 8.8. The new value of increase in length of the steel wire is:

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Answer: (D) 3.0mm3.0mm

δ=ρ0vg×LAy\delta =\dfrac{{\rho }_{0}vg\times L}{Ay}

{\delta }^{'}=\dfrac{\left({\rho }_{0}-{\rho }_{L}\right)vg\times L}{Ay}\Rightarrow \dfrac{\delta ^'}{\delta }=\dfrac{{\rho }_{0}-{\rho }_{L}}{{\rho }_{0}}=\dfrac{8-2}{8}

δ′=3mm{\delta }^{'}=3mm

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