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In equation (P+(a)/(V^(2)))=b (thetaA)/(...

In equation `(P+(a)/(V^(2)))=b (thetaA)/(V)` pressure, V = volume, Q = absolute temp. a, b are constant. Find dimension of a

A

`M^(1)L^(5)T^(-2)`

B

`M^(-1)L^(5)T^(2)`

C

`M^(1)L^(-5)T^(-2)`

D

`M^(1)L^(5)T^(1)`

Text Solution

Verified by Experts

`(P+(a)/(V^(2)))= b(theta)/(V)`
`[(a)/(V^(2))]=[P]`
`:.[a]=[P][V]^(2)`
`=(M^(1)L^(-1)T^(-2)(L^(3))^(2)`
`=M^(1)L^(-1)T^(-2)xxL^(6)=M^(1)L^(5)T^(-2)`
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KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -E (MULTIPLE CHOICE QUESTIONS (MCQS) (MCQS ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
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  12. If mass, length, time and electric current is represented as M, L, T, ...

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