Two rods, one made of aluminium and the other made of steel, having initial lengths $l_1$ and $l_2$ respectively are connected together to form a single rod of length $(l_1 + l_2)$. The coefficients of linear expansion for aluminium and steel of $\alpha_1$ and $\alpha_2$ respectively. If the length of each rod increases by the same amount when their temperature is raised by $t^oC$, then the ratio $l_1/(l_1 + l_2)$ :-
$\frac{\alpha_1}{\alpha_2}$
$\frac{\alpha_2}{\alpha_1}$
$\frac{\alpha_2}{(\alpha_1+\alpha_2)}$
$\frac{\alpha_1}{(\alpha_1+\alpha_2)}$
A clock which keeps correct time at $20\,^oC$ has a pendulum rod made of brass. How many seconds will it gain or lose per day when temperature falls to $0\,^oC$ ? $(\alpha = 18\times10^{-6}/^oC)$
A rod is fixed between two points at $20\,^oC$ . The coefficient of linear expansion of material of rod is $1.1 \times 10^{-5}/\,^oC$ and Young's modulus is $1.2 \times 10^{11}\,N/m^2$. Find the stress developed in the rod if temperature of rod becomes $10\,^oC$
Maximum density of $H_2O$ is at temperature
Steam at $100\,^oC$ is passed into $22\,g$ of water at $20\,^oC$. The mass of water that will be present when the water acquires a temperature of $90\,^oC$ (Latent heat of steam is $540\, cal/g$ ) is ............ $\mathrm{g}$
A beaker contains $200\,g$ of water. The heat capacity of the beaker is equal to that of $20\,g$ of water. The initial temperature of water in the beaker is $20\,^oC$. If $440\,g$ of hot water at $92\,^oC$ is poured in it, the final temperature (neglecting radiation loss) will be nearest to ........ $^oC$