Question

A steel scale measures the length of a copper rod as L cm when both are at 20oC, 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 21oC?

Solution

Correct option is

 

The length of 1 cm division of the steel scale at  is

                

Length of copper rod at  will be

                 

 

SIMILAR QUESTIONS

Q1

A bar made of iron has a length of 10.0 cm at 20oC. The coefficient of linear expansion of iron is 11 × 10–6 peroC. At 19oC, the rod is 

Q2

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

Q3

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

Q4

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

Q5

At 40oC, 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 240oC? The coefficient of linear expansion of brass and steel are respectively.

Q6

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

Q7

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

Q8

A glass flask of volume 500 cm3 is completely filled with a liquid at 0oC. When it is placed in boiling water at 100oC, 75 cm3 of the liquid overflows. If the coefficient of cubical expansion of glass is  oC-1, what is the coefficient of cubical expansion of the liquid?

Q9

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

Q10

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