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Thermometry, Thermal Expansion and Caloriemetry

81

genius by Pradeep Kshetrapal

Problems based on Thermometry

Basic level

1. A centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until theFahrenheit thermometer registers 1!". #hat is the $all in temperature as registered by the Centigradethermometer [CBSE PMT 1992; AIIMS 1998]

%a& '!" %b& !" %c& (!" %d& )!"

2. At what temperature the centigrade %Celsius& and Fahrenheit, readings are the same [RPMT 1997]

%a& * !" %b& + !" %c& '(.(" %d& * '"3. -tandardisation o$ thermometers is obtained with [CPMT 1996]

%a& olly/s thermometer %b& Platinum resistance thermometer

%c& Thermocouple thermometer %d& 0as thermometer

4. The gas thermometers are more sensitie than li2uid thermometers because [CPMT 1993]

%a& 0ases expand more than li2uids %b& 0ases are easily obtained

%c& 0ases are much lighter %d& 0ases do not easily changetheir states

5. 3ercury thermometers can be used to measure temperatures upto[CBSE PMT 1992]

%a& 1!!"C %b& 414"C %c& '(!"C %d& 5!!"C

6. A constant olume gas thermometer shows pressure reading o$ 5! cmand 6!cmo$ mercury at !"Cand 1!!"Crespectiely. #hen the pressure reading is (! cmo$ mercury., the temperature is

[MNR 1991]

%a& 45"C %b& !"C %c& 15"C %d& 14.5"C

7. The relation that conerts temperature in Celsius scale to temperature in Fahrenheit scale is

%a& &'4%6

5= CtFt %b& += '4

6

5CtFt %c& += '4

5

6CtFt %d&

&'4%5

6+= CtFt

8. A temperature di7erence o$ 5"Con Celsius scale corresponds to the $ollowing temperature di7erence in theFahrenheit scale

%a& 6" %b& 1" %c& 4.)" %d& 15"

9. 3ercury boils at '("C. 8oweer, mercury thermometers are made such that they can measure temperature up to5!!"C. This is done by

%a& 3aintaining acuum aboe mercury column in the stem o$ the thermometer

%b& Filling nitrogen gas at high pressure aboe the mercury column

%c& Filling nitrogen gas at low pressure aboe the mercury column

%d& Filling oxygen gas at high pressure aboe the mercury column

Advance level

10. #hich o$ the $ollowing is the smallest temperature

%a& 1"R %b& 1"C %c& 1"F %d& 1" K

Problems based on Expansion of Solids

Basic level

7/25/2019 02 Thermal Expansion Practice Problem

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82 Thermometry, Thermal Expansion andCaloriemetr

genius

11. At some temperature T, a bron9e pin in a little large to :t into a hole drilled in a steel bloc;. The change intemperature re2uired $or an exact :t is minimum when

[SCRA 1998]

%a& $ a thin copper

plate o$ area 4LLis heated through same range the percentage increase in area will be

%a& '? %b& 4.5? %c& 1.5? %d& 4?

14. Two rods o$ length 1L and 4L are made o$ materials o$ coe@cients o$ linear expansions 1 and 4

respectiely such that 4411 LL = . The temperature o$ the rods is increased by Tand correspondingly the

change in their respectie lengths be 1L and 4L

%a& 41 LL

%b& 41 LL =

%c& i7erence in length &% 41 LL is a constant and is independent o$ rise o$ temperature

%d& ata is insu@cient to arrie at a conclusion

15. A rod o$ length ! cmhas the coe@cient o$ linear expansion C= B1!( (1 . Another rod o$ length lhas the

coe@cient o$ linear expansion C= B1! (4 . >$ the di7erence in length o$ the two rods always remain same

at all temperatures, then the alue o$ lis

%a& 4( cm %b& (! cm %c& )! cm %d& '4 cm

Advance level16. Two metal rods haing same length and area o$ crosssection are :xed end to end between two rigid supports.

The coe@cients o$ linear expansion o$ the rods are 1 and 4 and their respectie Doungs moduli are 1Y

and 4Y . The system is now cooled and it is obsered that the unction between the rods does not shi$t at all $or

the condition

%a& 1441 YY = %b& 4

44411 YY = %c& 4411 YY = %d&

414

441 YY =

17. The coe@cient o$ linear expansion o$ crystal in one direction is 1 and that in eery direction perpendicular to

it 4 . The coe@cient o$ cubical expansion is

%a& 41 + %b& 414 + %c& 41 4 + %d& Gone o$ these

Problems based on Expansion of liquid

Basic level18. A li2uid with coe@cient o$ olume expansion is :lled in a container o$ a material expansion . >$ the li2uid

oerHows on heating then

%a& '=

%b& '>

%c& '$ $and Care mixed, the mixture has a temperature o$ '!"C. >$A

and Care mixed, the mixture will hae a temperature o$

%a& 1("C %b& 4!"C %c& 45"C %d& 46"C