Scale Conversions

Q.

Convert $37$ degree Celsius into F?

Q. Define the types of error and addition , subtraction, multiplication and division of error.

Q. The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_1$ and $r_2(r_1=1.5r_2)$ through $1\text{K}$ are in the ratio

1. $9:4$
2. $3:2$
3. $5:3$
4. $27:8$

Q.

How do you convert 45°C to Fahrenheit?

Q. If a thermometer reads freezing point of water as ${20}^{\circ }$ and boiling point as ${150}^{\circ }$, how much does the thermometer read when the actual temperature is ${60}^{\circ }C$?

1. ${98}^{\circ }$
2. ${110}^{\circ }$
3. ${40}^{\circ }$
4. ${100}^{\circ }$

Q. On a new scale of temperature (which is linear) and called the $W$ scale, the freezing and boiling points of water are ${42}^{\circ }\text{W}$ and ${242}^{\circ }\text{W}$ respectively. What will be the temperature on the new scale, corresponding to the temperature of ${42}^{\circ }\text{C}$ on the Celsius scale ?

1. ${200}^{\circ }\text{W}$
2. ${142}^{\circ }\text{W}$
3. ${84}^{\circ }\text{W}$
4. ${126}^{\circ }\text{W}$

Q. A Centigrade and Fahrenheit thermometers are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers a temperature of $140{}^{\circ }\text{F}$. The fall of the temperature as registered by the centigrade thermometer is:

1. $40{}^{\circ }\text{C}$
2. $80{}^{\circ }\text{C}$
3. $50{}^{\circ }\text{C}$
4. $90{}^{\circ }\text{C}$

Q. A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is maintained at $0\text{K}$. At time $t=0$, the temperature of the object is $200\text{K}$. The temperature of the object becomes $100\text{K}$ at $t=t_1$ and $50\text{K}$ at $t=t_2$. Assume the object and the container to be ideal black bodies. The heat capacity of the object does not depend on temperature. The ratio $\left(\frac{t_2}{t_1}\right)$ is

Q. If a thermometer on $C-$scale reads freezing point of water as $20C$ and boiling point as $150C$, how much the thermometer would read when the actual temperature is ${60}^{\circ }\text{C}$?

1. $98C$
2. $110C$
3. $40C$
4. $60C$

Q.

What is the standard room temperature in Kelvin?

Q.

Oxygen boils at $-{183}^{\circ }C$ . This temperature is approximately

1. 215°F

2. - 297°F

3. 329°F

4. 361°F

Q. The temperature reading of a bath on Celsius and Fahrenheit thermometers are in the ratio $2:5$. The temperature of the bath is

1. $26.67{}^{\circ }\text{C}$
2. $36.66{}^{\circ }\text{C}$
3. $40.51{}^{\circ }\text{C}$
4. $45.71{}^{\circ }\text{C}$

Q. The graph AB shown in the figure below is a plot of temperature of a body in degree Celsius and degree Fahrenheit. Then:

1. Slope of line AB is $\frac{9}{5}$
2. Slope of line AB is $\frac{5}{9}$
3. Slope of line AB is $\frac{1}{9}$
4. Slope of line AB is $\frac{3}{9}$

Q.

Represent freezing and boiling temperatures of water in Celsius as well as in Kelvin scales?

Q. Which of the curves in figure represents the relation between Celsius and Fahrenheit temperatures?

1. $1$
2. $2$
3. $3$
4. $4$

Q.

Answer the following:

(a) The triple-point of water is a standard fixed point in modern thermometry. Why? What is wrong in taking the melting point of ice and the boiling point of water as standard fixed points (as was originally done in the Celsius scale)?

(b) There were two fixed points in the original Celsius scale as mentioned above which were assigned the number 0 °C and 100 °C respectively. On the absolute scale, one of the fixed points is the triple-point of water, which on the Kelvin absolute scale is assigned the number 273.16 K. What is the other fixed point on this (Kelvin) scale?

(c) The absolute temperature (Kelvin scale) T is related to the temperature t_c on the Celsius scale by

t_c = T – 273.15

Why do we have 273.15 in this relation, and not 273.16?

(d) What is the temperature of the triple-point of water on an absolute scale whose unit interval size is equal to that of the Fahrenheit scale?

Q. Find the temperature at which we get the same reading on both Celsius and Fahrenheit scales.

1. ${20}^{\circ }\text{C}$
2. ${40}^{\circ }\text{C}$
3. $-{40}^{\circ }\text{C}$
4. $-{20}^{\circ }\text{C}$

Q.

On an X temperature scale, water freezes at $-{125.0}^{\circ }$X and boils at ${375.0}^{\circ }$X. On a Y temperature scale, water freezes at $-{70.0}^{\circ }$Y and boils at $-{30.0}^{\circ }$Y. The value of temperature on X scale equal to the temperature of ${50.0}^{\circ }$Y on Y scale is:

1. ${455.0}^{\circ }$X

2. ${125.0}^{\circ }$X

3. ${1500.0}^{\circ }$X

4. ${1375.0}^{\circ }$X

Q. The reading of a centigrade thermometer coincides with that of Fahrenheit thermometer for a liquid. The temperature of the liquid $\left(\text{in}{C}^{\circ }\right)$ is

1. $-{40}^{\circ }\text{C}$
2. $0^{\circ }\text{C}$
3. ${100}^{\circ }\text{C}$
4. ${300}^{\circ }\text{C}$

Q. In a given scale $X$, the ice point is $40{}^{\circ }\text{C}$ and the steam point is $120{}^{\circ }\text{C}$. For another scale $Y$, the ice point and steam point are $-30{}^{\circ }\text{C}$ and $130{}^{\circ }\text{C}$ respectively. If $X$ reads $50{}^{\circ }\text{C}$ temperature of a body, then $Y$ would read

1. $-12{}^{\circ }\text{C}$
2. $-5{}^{\circ }\text{C}$
3. $-8{}^{\circ }\text{C}$
4. $-10{}^{\circ }\text{C}$

Q. Figure shows three temperature scales with the freezing and boiling point of water indicated. A change of ${25}^{\circ }P,{25}^{\circ }Q,{25}^{\circ }R$ are denoted by $X_1,X_2,X_3$ respectively. Which of the following is correct?

1. $X_1<X_2<X_3$
2. $X_1>X_2>X_3$
3. $X_1=X_2=X_3$
4. $X_1>X_2=X_3$

Q. The temperature of an iron piece is increased from ${30}^{\circ }\text{C}$ to ${90}^{\circ }\text{C}$. Find the change in its temperature on the Fahrenheit scale and on the kelvin scale.

1. ${108}^{\circ }\text{F},60\text{K}$
2. ${132}^{\circ }\text{F},60\text{K}$
3. ${108}^{\circ }\text{F},32\text{K}$
4. ${132}^{\circ }\text{F},32\text{K}$

Q. Assertion: The temperature at which centigrade and Fahrenheit thermometer read the same is $-{40}^{\circ }\text{C}$.
Reason: There is no relation between Fahrenheit and centigrade temperature scale.

1. Both Assertion and Reason are correct and Reason is the correct explanation.
2. Both Assertion and Reason are correct and Reason is not the correct explanation.
3. Assertion is incorrect but Reason is correct.
4. Assertion is correct but Reason is incorrect.

Q. The graph shows variation of internal energy $U$ with density $\rho$ of one mole of an ideal monatomic gas. The process $AB$ is a part of rectangular hyperbola. Find the work done (in $J$) in the process.

Q.

The graph between two temperature scales $A$ and $B$ is shown in Figure. Between upper fixed point and lower fixed point there are $150$ equal division on scale $A$ and $100$ on scale $B.$ The relationship for conversion between the two scales

Q. A space vehicle of mass 300 kg is in circular orbit of radius $2R_e$ about the earth. Energy required to shift vehicle from orbit of radius $2R_e$ to orbit of radius $4R_e$ is $n\times {10}^{9}J$. Here $R_e=6.4\times {10}^6$ is radius of earth and $g=10m/s^2$ then n is (Answer upto two digits after the decimal point.)

Q. A certain quantity of an ideal gas takes up $56J$ of heat in the process $AB$ and $360J$ in the process $AC$, as shown in the graph below. The adiabatic constant for the gas is

Q. On a new scale of temperature (which is linear) and called the \(W\) scale, the freezing and boiling points of water are \(39^{\circ}~W\) and \(239^{\circ}~W\) respectively. What will be temperature in \(~^{\circ}~W\) on the new scale, corresponding to a temperature of \(39^{\circ}~C\) on the Celsius scale?

Q.

Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between T_A and T_B?

Q.

The kelvin scale has its ________set to absolute zero which is the _________possible temperature that exists in the universe.