(D) The total energy stored in the spring is converted into heat energy when the vibrations stop due to damping.Energy stored in the spring $E = \frac

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(D) The total energy stored in the spring is converted into heat energy when the vibrations stop due to damping.Energy stored in the spring $E = \frac{1}{2} k x^2$.Given $k = 800\, N/m$ and $x = 2\, cm = 0.02\, m$.$E = \frac{1}{2} \times 800 \times (0.02)^2 = 400 \times 0.0004 = 0.16\, J$.This energy is absorbed by the mass and the water: $E = (m_1 s_1 + m_2 s_2) \Delta T$.Here $m_1 = 0.5\, kg$,$s_1 = 400\, J/kg\, K$,$m_2 = 1\, kg$,$s_2 = 4184\, J/kg\, K$.$0.16 = (0.5 \times 400 + 1 \times 4184) \Delta T$.$0.16 = (200 + 4184) \Delta T = 4384 \Delta T$.$\Delta T = \frac{0.16}{4384} \approx 3.65 \times 10^{-5}\, K$.The order of magnitude is $10^{-5}\, K$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Principle of Calorimetry and Water Equivalent

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$A$ massless spring $(k = 800\, N/m)$,attached with a mass $(500\, g)$ is completely immersed in $1\, kg$ of water. The spring is stretched by $2\, cm$ and released so that it starts vibrating. What would be the order of magnitude of the change in the temperature of water when the vibrations stop completely? (Assume that the water container and spring receive negligible heat and specific heat of mass $= 400\, J/kg\, K$,specific heat of water $= 4184\, J/kg\, K$)

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A
$10^{-3}\,K$
B
$10^{-4}\,K$
C
$10^{-1}\,K$
D
$10^{-5}\,K$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Principle of Calorimetry and Water Equivalent

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What is calorimetry? What is a calorimeter? Explain its principle and construction.

$2 \ g$ of steam at $100 \ ^\circ C$ is passed into $40 \ g$ of water at $25 \ ^\circ C$. The final temperature of the mixture becomes $54.3 \ ^\circ C$. Find the latent heat of vaporization of steam in $cal/g$.

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