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NEET UG PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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Analyzing +4 | -1

In van der Wall equation

\left[P+\frac{a}{V^2}\right][V-b]=R T ; P

is pressure,

V

is volume,

R

is universal gas constant and

T

is temperature. The ratio of constants

\frac{a}{b}

is dimensionally equal to:

View answer and explanation

Correct option: C

P V

Option C (

P V

) is correct because the term

\frac{a}{V^2}

has the dimensions of pressure (P), and

a

therefore has dimensions of

PV^2

. The term

b

has dimensions of volume (V). Thus,

\frac{a}{b}

has dimensions of

\frac{PV^2}{V} = PV

.

More Questions from THERMAL PROPERTIES OF MATTER

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Four identical calorimeters painted in different colours, are heated to same temperature and then allowed to cool in vacuum. Which will cool fastest? An ice cube of dimensions

60 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}

is placed in an insulation box of wall thickness

1 \mathrm{~cm}

. The box keeping the ice cube at

0^{\circ} \mathrm{C}

of temperature is brought to a room of temperature

40^{\circ} \mathrm{C}

. The rate of melting of ice is approximately.

(Latent heat of fusion of ice is

3.4 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}

and thermal conducting of insulation wall is

\left. {0.05{\text{W}}{{\text{m}}^{ - 1}}^\circ {{\text{C}}^{ - 1}}} \right)

A black body radiates heat energy at the rate of

2 \times 10^5 \mathrm{~J} / \mathrm{sm}^2

127^{\circ} \mathrm{C}

. The temp of black body at which rate becomes

32 \times 10^5 \mathrm{~J} / \mathrm{s}-\mathrm{m}^2

is: The amount of radiation emitted by a perfectly black body is proportional to Amount of heat required to raise the temperature of a body through 1K is called its If Poisson’s ratio

\sigma

+ \frac{1}{2}

for a material, then the material is