Afahrenheit and a celsius thermometer are immersed in the same medium. at what celsius temperature will the numerical reading on the fahrenheit thermometer be (a) 49° less than that on the celsius thermometer, (b) twice that on the celsius thermometer, (c) one-eighth that on the celsius thermometer, and (d) 300° more than that on the celsius thermometer?

Answer :

(a) The Celsius temperature will be,

(b) The Celsius temperature will be,

(c) The Celsius temperature will be,

(d) The Celsius temperature will be,

Explanation :

The conversion used for the temperature from degree Celsius to Fahrenheit is:

        ..............(1)

where,

= temperature in Fahrenheit  

= temperature in centigrade

(a) less than that on the Celsius thermometer.

As per question, the equation will be:

     ..........(2)

Now substituting (2) in (1), we get:

The Celsius temperature will be,

(b) Twice that on the Celsius thermometer.

As per question, the equation will be:

     ..........(3)

Now substituting (3) in (1), we get:

The Celsius temperature will be,

(c) One-eighth that on the Celsius thermometer.

As per question, the equation will be:

     ..........(4)

Now substituting (4) in (1), we get:

The Celsius temperature will be,

(d) more than that on the Celsius thermometer.

As per question, the equation will be:

     ..........(5)

Now substituting (5) in (1), we get:

The Celsius temperature will be,

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.