the distance between the marks of 0 degree centigrade and 100 degree centigrade is 12cm and if the level of mercury thread is at 4.8 cm then what would be the temperature in celsius scale?

(4.8/12) x 100 = 30 C

what would be the temperature in celcis scale if level of mercury is 4.8cm

To find the temperature in Celsius scale, we can use the concept of a linear function, assuming that the relationship between the distance and temperature is linear.

Let's denote the distance corresponding to 0 degrees Celsius as x1, the distance corresponding to 100 degrees Celsius as x2, and the given distance of the mercury thread as y.

From the given information, we have x1 = 0 cm, x2 = 100 cm, and y = 4.8 cm.

We can define a linear function that relates the temperature (T) to the distance (D) as follows:

T = m * D + b,

where m represents the slope of the line and b represents the y-intercept.

To find the slope (m) of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are two points on the line.

In this case, (x1, y1) = (0, 0) and (x2, y2) = (100, 12).

Therefore, the slope (m) is calculated as:

m = (12 - 0) / (100 - 0) = 12 / 100 = 0.12.

Now, we can substitute the given value of y (4.8 cm) into the linear function equation and solve for T:

T = 0.12 * 4.8 + b.

To find the value of b, we can substitute the coordinates of one of the known points (0, 0) into the linear function:

0 = 0.12 * 0 + b.

Simplifying the equation, we find that b = 0.

Finally, we can substitute the values of m and b into the linear function equation to find the temperature (T):

T = 0.12 * 4.8 + 0,

T = 0.576.

Therefore, the temperature in Celsius scale corresponding to a mercury thread level of 4.8 cm would be approximately 0.576 degrees Celsius.