Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules ( P ) 1 3 n m v 2 (B) Pressure exerted by ideal gas Q 3 R T M (C) Average kinetic energy of a molecule R 5 2 R T (D) Total internal energy of 1 mol of a diatomic gas S 3 2 k B T

( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R )

( A ) - ( R ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( Q )

( A ) - ( Q ) , ( B ) - ( R ) , ( C ) - ( S ) , ( D ) - ( P )

( A ) - ( R ) , ( B ) - ( Q ) , ( C ) - ( P ) , ( D ) - ( S )

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The $P - V$ diagram for an ideal gas in a piston cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 11

Match Column - I and Column - II and choose the correct match from the given choices.

Column - I	Column - II
(A) Root mean square speed of gas molecules	$(P) \frac{1}{3} n m v^{2}$
(B) Pressure exerted by ideal gas	$(Q) \sqrt{\frac{3 R T}{M}}$
(C) Average kinetic energy of a molecule	$(R) \frac{5}{2} R T$
(D) Total internal energy of $1 mol$ of a diatomic gas	$(S) \frac{3}{2} k_{B} T$

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 61

The densities of wood and benzene at

0 ° C

are

880 kg m^{- 3}

and

900 kg m^{- 3}

, respectively. The coefficients of volume expansion are

1.2 \times 10^{- 3} ° C^{- 1}

for wood and

1.5 \times 10^{- 3} ° C^{- 1}

for benzene. At what temperature will a piece of wood just sink in benzene?

HARD

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 116

Three rods of same length are arranged to form an equilateral triangle. Two rods are made of the same material of coefficient of linear expansion

α_{1}

and the third rod which forms the base of the triangle has coefficient of expansion

α_{2}

. The height of the triangle will remain the same at all temperatures if

\frac{α_{1}}{α_{2}}

is nearly,

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 31

The two-metre scales, one of steel and the other of aluminium agree at

20 ° C

. The ratio of aluminium

(in cm)

to steel

(in cm)

0 ° C

(α

for steel is

1.1 \times 10^{- 5} ° C^{- 1}

and for aluminium is

2.3 \times 10^{- 5} ° C^{- 1})

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 34

The average energy of molecules in a sample of oxygen gas at

300 K

are

6.21 \times 10^{- 21}

J .

The corresponding values at

600 K

are

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 37

A gas at state $A$ changes to state $B$ through path $I$ and $II$ shown in figure. The change in internal energy is $Δ U_{1}$ and $Δ U_{2}$ , respectively. Then

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 99

A coffee maker makes coffee by passing steam through a mixture of coffee powder, milk and water. If the steam is mixed at the rate of

50 g

per minute in a mug containing

500 g

of mixture, then it takes about

t_{0}

seconds to make coffee at

70 ° C

when the initial temperature of the mixture is

25 ° C

. The value of

t_{0}

is close to (ratio of latent heat of evaporation to specific heat of water is

540 ° C

and specific heat of the mixture can be taken to be the same as that of water)

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NEET Physics Express>Chapter -1 - Heat & Thermodynamics>Exercise>Q 115

A metallic block of mass

20 kg

is dragged with a uniform velocity of

0.5 {ms}^{- 1}

on a horizontal table for

2.1 s

. The coefficient of static friction between the block and the table is

0.10

. What will be the maximum possible rise in temperature of the metal block, if the specific heat of the block is

0.1 CGS

unit? Assume

g = 10 {ms}^{- 2}

and uniform rise in temperature throughout the whole block. [Ignore absorption of heat by the table]

The P-V diagram for an ideal gas in a piston cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is

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The $P - V$ diagram for an ideal gas in a piston cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is