Two thermo flasks of volume Vx and Vy are filled with liquid water at an initial temperature of 0oC. After sometime the temperature were found to be 9x, 9y, respectively. Given that \(\frac{Vx}{Vy}\) = 2 and \(\frac{\theta x}{\theta y}\) = \(\frac{1}{2}\) the ratio of the heat flow into the flask is
A. \(\frac{1}{4}\) B. \(\frac{1}{2}\) C. 4 D. 1 E. 2
Correct Answer: D
Explanation
Heat = mc\(\theta\) Hx = Dx x Vx x Cx x \(\theta\)x Hy = Dy x Vy x Cy x \(\theta\)y \(\frac{H_x}{H_y}\) = \(\frac{D_x \times V_x \times C_x \times \theta_x}{D_x \times V_x \times C_x \times \theta_x}\) = 2 x \(\frac{1}{2}\) = 1