In design of a compensated pendulum, a light metal rod of length L_(0) = 1.0 m is attached to a glass tube filled with mercury. Neglecting the mass of the glass tube as well, calculate the height of mercury column in the glass tube so that centre of mass of this system does not rise or fall with temperature Given : lambda_)Hg)=1.82xx10^(-4)K^(-1),alpha_("glass')=9xx10^(-6),alpha_("metal")=1.2xx10^(-5)K^(-1)

In design of a compensated pendulum, a light metal rod of length L_(0)

1.	In design of a compensated pendulum, a light metal rod of length L_(0) = 1.0 m is attached to a glass tube filled with mercury. Neglecting the mass of the glass tube as well, calculate the height of mercury column in the glass tube so that centre of mass of this system does not rise or fall with temperature Given : lambda_)Hg)=1.82xx10^(-4)K^(-1),alpha_("glass')=9xx10^(-6),alpha_("metal")=1.2xx10^(-5)K^(-1)
Answer» ANSWER :`(2L_(0)alpha_("METAL"))/(gamma_(m)-2alpha_(g)) =0.146 m `