## Question

A metallic container is completely filled with a liquid. The coefficient of linear expansion of the metal is per ^{o}C and the coefficient of cubical expansion of the liquid is per ^{o}C. On heating the vessel,

### Solution

The level of the liquid will remain un changed

The coefficient of cubical expansion of the vessel per ^{o}C, which is the same as that of the liquid. Hence the increase in the volume of the liquid is equal to the increase in the volume of the vessel.

#### SIMILAR QUESTIONS

A bar made of iron has a length of 10.0 cm at 20^{o}C. The coefficient of linear expansion of iron is 11 × 10^{–6} per^{o}C. At 19^{o}C, the rod is

A cylinder of diameter exactly 1 cm at 30^{o}C is to be inserted into a hole in a steel plate. The hole has a diameter of 0.99967 cm at 30^{o}C. If α for steel is ^{o}C^{-1}, to what temperature must the plate be heated?

A linear accelerator consists of a hundred brass discs tightly fitted into a steel tube. At 40^{o}C the diameter of each disc is 10.02 cm. The system is assembled by cooling the discs in dry ice at – 60^{o}C to enable them to slide into the close fitting tube. If the coefficient of expansion of brass is per ^{o}C, the diameter of each disc in dry ice will be

When a solid metallic sphere is heated, the largest percentage increase occurs in its

A steel scale measures the length of a copper rod as *L* cm when both are at 20^{o}C, the calibration temperature for the scale. If the coefficient of linear expansion for steel and copper are respectively, what would be the scale reading (in cm) when both are at 21^{o}C?

At 40^{o}C, a brass rod has a length 50 cm and a diameter 3.0 mm. It is joined to a steel rod of the same length and diameter at the same temperature. What is the change in the length of the composite rod when it is heated to 240^{o}C? The coefficient of linear expansion of brass and steel are respectively.

A thin metal square plate has length *l*. When it is heated from 0^{o}C to 100^{o}C, its length increases by 1%. What is the percentage increase in the area of the plate?

A glass flask of volume 500 cm^{3} is completely filled with a liquid at 0^{o}C. When it is placed in boiling water at 100^{o}C, 75 cm^{3} of the liquid overflows. If the coefficient of cubical expansion of glass is ^{o}C^{-1}, what is the coefficient of cubical expansion of the liquid?

A thin metal square plate has length *l*. When it is heated from 0^{o}C to 100^{o}C, its length increases by 1%. What is the percentage increase in the area of the plate?

The density of a liquid of coefficient of cubical expansion . When the liquid is heated to a temperature *T*, the change in density will be