Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 2: Exercise - 2

In a steel factory it is found that to maintain $M \mathrm{kg}$ of iron in the molten state at its melting point an input power $P$ watt is required. When the power source is turned off, the sample completely solidifies in time $t$ second. The latent heat of fusion of iron is

An electrical heating coil was placed in a calorimeter containing $360 \mathrm{gm}$ of water at $10 °\mathrm{C}$. The coil consumes energy at the rate of $90 \mathrm{watt}$. The water equivalent of the calorimeter and the coil is $40 \mathrm{gm}$. Calculate what will be the temperature $\left(\mathrm{in} °\mathrm{C}\right)\cong$ of the water after $10 \mathrm{minutes}$. Write the answer to the nearest integer. $J=4.2 \mathrm{Joules} {\mathrm{cal}}^{-1}$

A simple seconds pendulum is constructed out of a very thin string of thermal coefficient of linear expansion $\alpha =20\times {10}^{-4} °{\mathrm{C}}^{-1}$ and a heavy particle attached to one end. The free end of the string is suspended from the ceiling of an elevator at rest. The pendulum keeps the correct time at $0 °\mathrm{C}$. When the temperature rises to $50 °\mathrm{C}$, the elevator operator of mass $60 \mathrm{kg}$ being a student of physics accelerates the elevator vertically, to have the pendulum's correct time. Find the apparent weight (kg wt) of the operator when the pendulum keeps the correct time at $50 °\mathrm{C}$. $\left(\mathrm{Take} g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A steel rod $25 \mathrm{cm}$ long has a cross-sectional area of $0.8 {\mathrm{cm}}^2$. The force required to stretch this rod by the same amount as the expansion produced by heating it through $10 °\mathrm{C}$ is $10X$. Find the value of $X$? (Coefficient of linear expansion of steel is ${10}^{-5} °{\mathrm{C}}^{-1}$ and Young's modulus of steel is $2\times {10}^{10} \mathrm{N} {\mathrm{m}}^{-2}$)

A one Litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. The volume (in litre) of mercury in the flask is $\frac{X}{100}$. Find the value of $X$ coefficient of linear expansion of glass$=9\times {10}^{-6} °{\mathrm{C}}^{-1}$. Coefficient of volume expansion of mercury$=1.8\times {10}^{-4} °{\mathrm{C}}^{-1}$.

When $m \mathrm{gm}$ of water at $10 °\mathrm{C}$ is mixed with $m \mathrm{gm}$ of ice at $0 °\mathrm{C}$, which of the following statements are false? 

Two identical beakers with negligible thermal expansion are filled with water to the same level at $4 °\mathrm{C}$. If one says $A$ is heated while the other says $B$ is cooled, then 

There is a rectangular metal plate in which two cavities in the shape of rectangle and circle are made, as shown with dimensions. $P$ and $Q$ are the centres of these cavities. On heating the plate, which of the following quantities increase?