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In Vander Wall's equation (P +(a)/(V^2))...

In Vander Wall's equation `(P +(a)/(V^2))(V - b) = RT` What are the dimensions of a and b ? Here, P is pressure, V is volume, T is temperature and R is gas constant.

A

`ML^(4)T^(-2)`

B

`ML^(5)T^(-2)`

C

`ML^(3)T^(-2)`

D

`ML^(2)T^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`[PV]=[(a)/(b)]`
`ML^(2)T^(-2)=([a])/(L^(3))rArr[a]=ML^(5)T^(-2)`
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BANSAL-UNIT DIMENSION, VECTOR & BASIC MATHS-EXERCISE-1 [SINGLE CORRECT CHOICE TYPE]
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  2. In the S.I. system, the unit of energy is-

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  6. For 10^((at+3)), the dimension of a is -

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  7. The velocity of a moving particle depends upon time t as v = at+(b)/(t...

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  8. Which of the following pairs of physical quantites does not have same ...

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  9. If F=ax+bt^(2)+c where F is force, x is distance and t is time. Then w...

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  10. If force, time and velocity are treated as fundamental quantities the...

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  11. Which of the following physical quantities do not have the same dimens...

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  12. Out of the following pair, which one NOT have identical dimensions is

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  13. The frequency f of vibrations of a mass m suspended from a spring of s...

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  14. p=(alpha)/(beta) exp (-(alphaz)/(K(B))theta) theta rarr Temperature ...

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  15. In Vander Wall's equation (P +(a)/(V^2))(V - b) = RT What are the dime...

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  16. In a new system of units, unit of mass is 10 kg, unit of length is 10...

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  17. The distance covered by a particle in time t is given by x=a+bt+ct^2+d...

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  18. A wave is represented by - y=a sin (At-Bx+C) where A, B, C are con...

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  19. If x=k sin (k l t), where x is displacement and t is time then dimensi...

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  20. If E , M , J , and G , respectively , denote energy , mass , angular m...

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