A gas in an airtight container is heated from $25°C$ to $90°C$. The density of the gas will

Coefficient of real expansion of mercury is $ 0.18 \times 10^{-3}{°C^{-1}}$. If the density of mercury at $0°C$ is $13.6\, gm/cc$. its density at $473K$ is

When the temperature of a metal wire is increased from $0^{\circ} \,C$ to $10^{\circ}\, C$, its length increases by $0.02 \% .$ The percentage change in its mass density will be closest to:

A cylindrical metal rod of length $L‌‌_0$ is shaped into a ring with a small gap as shown. On heating the system

A metallic rod $1\,cm$ long with a square cross-section is heated through $1^o C$. If Young’s modulus of elasticity of the metal is $E$ and the mean coefficient of linear expansion is $\alpha$ per degree Celsius, then the compressional force required to prevent the rod from expanding along its length is :(Neglect the change of cross-sectional area)

A bakelite beaker has volume capacity of $500\, cc$ at $30^{\circ} C$. When it is partially filled with $V _{ m }$ volume (at $30^{\circ}$ ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If $\gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} C ^{-1}$ and $\gamma_{(\text {mercury })}=1.5 \times 10^{-4}{ }^{\circ} C ^{-1},$ where $\gamma$ is the coefficient of volume expansion, then $V _{ m }($in $cc )$ is close to