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11th Physics Weekly Test - 3 ( Heat and Thermodynamics )

MABS Institution

11th Physics Weekly Test - 3 ( Heat and Thermodynamics )-Aug 2020

Time : 1.00 Hours

Part - A

Multiple Choice Question - Answer All Question

An ideal gas passes from one equilibrium state (P₁, V₁, T₁, N) to another equilibrium state (2P₁, 3V₁, T₂, N). Then

T₁= T₂
\({ T }_{ 1 }=\frac { { T }_{ 2 } }{ 6 } \)
T₁ = 6T₂
T₁ = 3T₂

The internal energy of an ideal gas depends on

only pressure
only volume
only temperature
none of these

A centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers 140°. What is the decrease in temperature as registered by the centigrade thermometer?

80°
60°
40°
30°

When food is cooked in a vessel by keeping the lid closed, after some time the steam pushes the lid outward. By considering the steam as a thermodynamic system, then in the cooking process

Q > 0, W > 0,
Q < 0, W > 0,
Q > 0, W < 0,
Q < 0, W < 0,

A bimetal made of copper and iron strips welded together is straight at room temperature. It is held vertically with iron strip towards left and copper strip towards right. If this bimetal is heated, it will

remain straight
bend towards right
bend towards left
bend forward

The absolute zero temperature is transmission as

273 K
-273 K
-273⁰ C
273⁰C

We consider a thermodynamic system. If \(\Delta\)U represent the increase in its energy and W the work done by the system, which of the following statements is true?

\(\Delta\)U = - W in an isothermal process
\(\Delta\)U = - W in an adiabatic process
\(\Delta\)U = - W in an isothermal process
\(\Delta\)U =W in an adiabatic process

Pressure exerted by a perfect gas is equal to _______.

mean kinetic energy per unit volume
half of mean kinetic energy per unit volume
one-third of mean kinetic energy per unit volume
two-thirds of mean kinetic energy per unit volume

The specific heat of water is

1.817
25.12
4.187
none

The correct value of 0^oC on the Kelvin scale is ___________

273.15K
272.85K
273K
273.2K

The change in temperature of a body is 50°C. The change on the kelvin scale is _________.

50K
323K
70K
30K

A closed bottle containing water at room temperature is taken to the moon and then the lid is opened. The water will______.

freeze
boil
decompose into hydrogen and oxygen
not change at all.

The gas constant (R) is equal to the_____of two specific heats

ratio
Sum
produce
difference

2 Kg of water of 60°C is mixed with 1 kg of water at 30°C kept in a vessel of heat capacity 220 J K^-1. The specific heat of water is 4200 J Kg^-1 K^-1. Then the final temperature is nearly.

35°C
45°C
55°C
50°C

The mass of 1 litre of helium under a pressure of 2 atm and at a temperature of 27°C is

0.16 g
0.32g
0.48g
0.64 g

Calculate the work done if temperature is changed from 0°Cto 200°C at one atm. [R = 2 cal K^-1]

100 cal
200 cal
400 cal
800 cal

At 0°C, Pressure measured by barometer is 760 mm. What will be the pressure at 100°C?

760
730
780
none of these

During which of the following process does heat rejection takes place in carnot cycle?

isothermal expansion
adiabatic expansion
isothermal compression
adiabetic compression

A mono atomic gas is suddenly compressed to \(\left( \frac { 1 }{ 8 } \right) ^{ th }\) its initial volume adiabatically the ratio of its final pressure to the intial pressure is (Given: the ratio of +!le =peclfier heats of the given gas to be 5/3)

32
\(\frac { 40 }{ 3 } \)
\(\frac { 24 }{ 5 } \)
8

The coefficient of volume expansion of a solid is x times the coefficient of superficial. expansion. Then x is

1.5
2
2.5
3

An air bubble doubles in radius on rising from the bottom of a lake to its surface. If the atmospheric pressure is equal to that of a column of water of height H, the depth of lake is

H
2H
7H
8H

A process in which the temperature of working substance remains constant during its expansion or compression

isothermal
adiabatic
isobaric
isochoric

A carnot engine takes heat from a reservoir at 627°C and rejects heat to a sink at 27°C. Its efficiency is

3/5
1/3
2/3
200/209

When a uniform rod is heated, which of the following quantity of the rod will increase

mass
weight
center of mass
moment of inertia

In a carnot heat engine 8000J of heat is absorbed from a source at 400 K and 6500 J of heat is rejected to the sink. The temperature of the sink is ________

325 K
100 K
200 K
273 K

Two thermally insulated vessels 1 & 2 are filled with air at temp (T₁, T₂), volume (V1, V₂ & pressure (P₁ P₂) If the valve going to the 2 vessels is opened, the temperature on the inside of the vessel at equilibrium will be

T₁ + T₂
\(\frac { { T }_{ 1 }+{ T }_{ 2 } }{ 2 } \)
\(\frac { { T }_{ 1 }{ T }_{ 2 }\left( { P }_{ 1 }{ V }_{ 1 }+{ P }_{ 2 }{ V }_{ 2 } \right) }{ { P }_{ 1 }{ V }_{ 1 }{ T }_{ 2 }+{ P }_{ 2 }{ V }_{ 2 }{ T }_{ 1 } } \)
\(\frac { { T }_{ 1 }{ T }_{ 2 }\left( { P }_{ 1 }{ V }_{ 1 }+{ P }_{ 2 }{ V }_{ 2 } \right) }{ { P }_{ 1 }{ V }_{ 1 }{ T }_{ 1 }+{ P }_{ 2 }{ V }_{ 2 }{ T }_{ 2 } } \)

Which of the following will make the volume of an ideal gas four times?

double the absolute temperature and double the pressure
Halve the absolute temperature and double the pressure.
Quarter the absolute temperature at constant pressure.
Quarter the pressure at constant temperature.

In an isochoric process ________.

\(\Delta\)U = \(\Delta\)Q
\(\Delta\)U = \(\Delta\)W
\(\Delta\)U = \(\Delta\)W
None of these

Surface of the lake is at 2°C and depth of the lake is 20m find the temperature of the bottom of the lake

2⁰C
3⁰C
4⁰C
none of the above

If the temperature of patient is 40°C, his temperature on the Fahrenheit scale will be

72^oF
96°F
100°F
104°F

According to Boyle's law, PV = C when the temperature of the gas remains constant. The value of C depends on

temperature of the gas
nature of the gas
quantity of the gas
both temperature and quantity of the gas

Cooking takes longest time ______

at the sea level
at Shimla
at mount Everest (if tried
in a submarine 100 m below the surface of water

One mole of gas occupies a volume of 200 ml. at 100 mm pressure. What is the volume occupied by two moles of this gas at 400 mm pressure and at same temperature?

50 ml
100 ml
200 ml
400 ml

In an adiabatic process, the state of a gas is changed from P₁, V₁, T₁, P₂, V₂,T₂Which of the following relations is correct?

\({ T }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ V }_{ 2 }^{ \gamma -1 }\)
\({ P }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ P }_{ 2 }{ V }_{ 2 }^{ \gamma -1 }\)
\({ T }_{ 1 }{ P }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ P }_{ 2 }^{ \gamma }\)
\({ T }_{ 1 }{ V }_{ 1 }^{ \gamma -1 }={ T }_{ 2 }{ V }_{ 2 }^{ \gamma }\)

A metal sheet with a circular hole is heated. The hole will

contract
expand
remain unaffected
contract or expand depending on the value of the linear expansion coefficient.

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