Two thermo flasks of volume Vx and Vy are filled with liquid water at an initial temperature of 0^oC. 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

\(\frac{1}{4}\)

\(\frac{1}{2}\)

Correct answer is D

Heat = mc\(\theta\)

H_x = D_x x V_x x C_x x \(\theta\)_x

H_y = D_y x V_y x C_y 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

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