A brass rod and a lead rod each 80 cm long at `0^@C` are clamped together at one end with their free ends coinciding. The separatioin of free ends of the rods if the system is placed in a steam bath is (`alpha_("brass")=18xx10^(-6)//^(@)C` and `alpha_("lead")=28xx10^(-6)//^(@)C`)A. 0.2 mmB. 0.8 mmC. 1.4 mmD. 1.6 mm

A brass rod and a lead rod each 80 cm long at `0^@C` are clamped toget

1.	A brass rod and a lead rod each 80 cm long at `0^@C` are clamped together at one end with their free ends coinciding. The separatioin of free ends of the rods if the system is placed in a steam bath is (`alpha_("brass")=18xx10^(-6)//^(@)C` and `alpha_("lead")=28xx10^(-6)//^(@)C`)A. 0.2 mmB. 0.8 mmC. 1.4 mmD. 1.6 mm
Answer» Correct Answer - B The brass rod and the lead rod will suffer expansion when placed in steam bath. Length of brass rod at `100^@C` `L_("brass")=L_("brass")(1+alpha_("brass")DeltaT)=80[1+18xx10^-6xx100]` and the length of lead rod at `100^@C` `L_("lead")=L_("lead")(1+alpha_("lead")DeltaT)=80[1+28xx10^-6xx100]` Separation of free ends of the rods after heating `=L_("lead")-L_("brass")=80[28-18]xx10^-4=8xx10^-2cm=0.8` mm

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