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Test: Measurement of Temperature - GATE MCQ


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20 Questions MCQ Test - Test: Measurement of Temperature

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Test: Measurement of Temperature - Question 1

A straight bimetallic strip 25 cm long and 1.4 mm thick is made of copper and invar and has one end fixed. How much will the free end of the strip deflect if the temperature changes 18°F?

Detailed Solution for Test: Measurement of Temperature - Question 1

d = cm = 2.1 cm

When the bimetallic element is wound into a spiral, the deflection of the free end

of the strip is given by:

d= 

where d is the deflection, a is the coefficient of linear expansion of metal A, b is the

coefficient of linear expansion of metal B, T1 is the lower temperature, T2 is the elevated

temperature, l is the length of the element, and t is the thickness of the element.

Test: Measurement of Temperature - Question 2

A 42-cm length of 2.3-mm thick copper-invar bimetallic strip is wound into a spiral

with a radius of 5.2 cm at 70°F. What is the deflection of the strip at 120°F?

Detailed Solution for Test: Measurement of Temperature - Question 2

When the bimetallic element is wound into a spiral, the deflection of the free end

of the strip is given by:

d= 

Putting appropriate values, we get the answer as 0.93 cm.

where d is the deflection, a is the coefficient of linear expansion of metal A, b is the

coefficient of linear expansion of metal B, where r is the spiral radius, and l is the length of the unwound element.

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Test: Measurement of Temperature - Question 3

What is the resistance of a platinum resistor at 480°C if its resistance at 16°C is 110Ω?

Detailed Solution for Test: Measurement of Temperature - Question 3

In a resistance thermometer, the variation of resistance with temperature is given by

RT2 = RT1 [1 + Coeff. (T2 − T1)]

RT2 is the resistance at temperature T2, and RT1 is the resistance at temperature T1.

Substituting values, we get

Resistance at 480 C = 110{ 1 + 0.00385(480-16)] ohm

= 110 (1+1.7864) ohm

= 306.5 ohms

Test: Measurement of Temperature - Question 4

The characteristics of a thermometer measuring ambient temperature are 2 + Ti - Ta = 0 where Ti and Ta are the indicated and ambient temperatures, respectively, both in C, and time is in seconds. The – 3 dB cut-off frequency in the frequency response of the thermometer is

Detailed Solution for Test: Measurement of Temperature - Question 4

Test: Measurement of Temperature - Question 5

For a copper-constantan (Type T) thermocouple, the junction potential E (in V) at C is given

by E = 38.74θ + 3.3 x 10– 2 θ 2 + 2.07 x 10– 4 θ 3 – 2.2 x 10– 6 θ 4 +higherorderr terms, assuming the cold junction compensation. The sensitivity of thermocouple at 100C is approximately

Detailed Solution for Test: Measurement of Temperature - Question 5

E = 38.74θ + 3.3 x 10– 2 θ 2 + 2.07 x 10– 4 θ 3 – 2.2 x 10– 6 θ 4 + higher order terms

S = dE/dθ​ = 38.74 + 6.6 x 10-2 x 100 + 6.21 x 10-3 x 1002 - 8.8 x 10-6 x 1003 + …………….

= [42.75 + Higher Terms] μ V/C

Test: Measurement of Temperature - Question 6

Match the following :

Detailed Solution for Test: Measurement of Temperature - Question 6
Radiation Pyrometer: Iemf

Gyroscope Angular: Velocity

Test: Measurement of Temperature - Question 7

The values of the material constants for thermistors P and Q are 4000 K and 3000 K, respectively. The resistance of each thermistor at 298 K is 2 kΩ . At 373 K, the ratio of the resistance of thermistor P to that of thermistor Q will be closest to

Detailed Solution for Test: Measurement of Temperature - Question 7

RT1 = RT2 exp

For thermistor P,

RT1 = 0.1345

For thermistor Q,

RT1 = 0.264

Then, ratio of resistance of thermistor P to thermistor Q = 0.264/0.1345 = 0.50

Test: Measurement of Temperature - Question 8

A type J (iron-constantan) thermocouple has a voltage sensitivity of 55 μV/C. A digital voltmeter (DVM) is used to measure the voltage under the condition shown in the following

figure.

Given that T1 = 300C, T2 = 100C and T3 = T4 = 20 C, the meter will indicate a voltage of

Detailed Solution for Test: Measurement of Temperature - Question 8

Indicated voltage,

V = S.Δ T

= S. (T1 – T2)

= (55 μ V/C) 200 = 11 mV.

Test: Measurement of Temperature - Question 9

A thermometer at room temperature 30C is dipped suddenly into a bath of boiling water at 100C. It takes 30 seconds to reach 96.5C. The time required to reach a temperature of 98 C is

Detailed Solution for Test: Measurement of Temperature - Question 9
Thermometer has been applied as a step function at the input (i.e., the thermometer has been suddenly dipped into a bath of boiling water ). So it follows an exponential relationship.
Test: Measurement of Temperature - Question 10

A mercury barometer reads h mm Hg with the temperature of the mercury at T C. The barometer reading corrected for the standard temperature 0 C with β denoting the volumetric

The expansion coefficient of mercury in 0 C– 1 is

Detailed Solution for Test: Measurement of Temperature - Question 10

V(T) = V(1 + T) where V(T) is a function of volume as a function of temperature.

Since cross-section area is constant , therefore

ah = V(1 + β T)

Putting V as ah’ , we get

h = h’(1 + β T)

Test: Measurement of Temperature - Question 11

A temperature-measuring instrument is modeled as a first-order system with a time constant of 5s. The sensor of the instrument is placed inside an oil bath whose temperature has a sinusoidal

variation with an amplitude of 10 0C and a period of 20s around an average temperature of 200 0C.

The sinusoidal component at the output of the instrument will have amplitude.

Detailed Solution for Test: Measurement of Temperature - Question 11
Output will trace the input, but there would be a real lag. Therefore, the amplitude will remain the same.
Test: Measurement of Temperature - Question 12

Data given below should be used for answering questions

The table provides the thermo-emf sensitivity of five materials concerning platinum around 273 K

The thermocouple pair that gives the maximum sensitivity around 273 K is

Detailed Solution for Test: Measurement of Temperature - Question 12
For Nickel-Constantan, sensitivity = 60 V/k is highest.
Test: Measurement of Temperature - Question 13

Data given below should be used for answering questions

The table provides the thermo-emf sensitivity of five materials concerning platinum around 273 K

Two copper -constantan thermocouples are connected such that the two constantan wires are joined together. The two copper wires are connected to the input of a low noise chopper stabilized differential amplifier having a gain of 1000. One thermocouple junction is immersed in a flask containing ice and water in equal proportion. The other thermocouple is at a temperature of T.

If the output of the amplifier is 2.050 V, the temperature T is

Detailed Solution for Test: Measurement of Temperature - Question 13
For copper-constants, sensitivity = 41 V/k

then, emf = 41 (T – 0) 10– 6 volt x gain

Now, 41 T x 10– 6 x 1000 = 2.050

or T = 50C

Test: Measurement of Temperature - Question 14

A thermocouple is suddenly immersed in a medium of high temperature. The approximate

time taken by the thermocouple to reach 98% of the steady-state value is

Detailed Solution for Test: Measurement of Temperature - Question 14
The output at line t

c (t) = c0 (1 – e– t/T)

For, c (t) = 0.98 C0

we have, 0.98 C0 = C0 (1 – e– t/T)

or t = 4 T

Test: Measurement of Temperature - Question 15

The sensing element of a thermocouple at its hot junction is provided with a shield while taking measurements in a high-temperature gas. The principal reason for giving the shield is

Detailed Solution for Test: Measurement of Temperature - Question 15
The sensitive element is required to measure its temperature change due to radiant energy received relative to the temperature of the immediate surroundings.
Test: Measurement of Temperature - Question 16

In the context of transducers, identify the correct matches List I with List II :

         

Test: Measurement of Temperature - Question 17

Which of the following is used as an indication instrument in a liquid expansion system?

Detailed Solution for Test: Measurement of Temperature - Question 17
Bourdon tube converts pressure into displacement, and in liquid expansion systems, output expansion pressure is applied to bourdon tube for indication.
Test: Measurement of Temperature - Question 18

When a bimetallic thermometer is heated, curling occurs to the metal side with the least temperature coefficients.

Detailed Solution for Test: Measurement of Temperature - Question 18
A bimetallic type thermometer, when heated, curls to the metal side with the least temperature coefficient. The number of curls will be proportional to the temperature applied.
Test: Measurement of Temperature - Question 19

Ratio of the net amount of heat received and stored in the body for a specific time interval is known as

Detailed Solution for Test: Measurement of Temperature - Question 19
Thermal storage capacity denoted by C is the ratio of the Net Amount of heat received and stored in the body.
Test: Measurement of Temperature - Question 20

In a steel bulb thermometer, which liquid can be used for measuring temperature up to 60000C?

Detailed Solution for Test: Measurement of Temperature - Question 20
Mercury as a liquid provides a temperature range of -4000C to 65000C.
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