Home
Class 12
PHYSICS
Write the dimensions of a and b in the r...

Write the dimensions of `a` and `b` in the relation `P=(b-x^(2))/(at),` where `P` is power, `x` is distance and `t` is the time :

A

1) `MLT^(2),L^(2)`

B

2) `M^(-1)L^(0)T^(2),L^(2)`

C

`ML^(-1)T^(-2),L`

D

`M^(-1)LT^(2),L.`

Text Solution

Verified by Experts

The correct Answer is:
B
As `b` is subtracted from `x^(2)`,`b` has the dimensions of `x^(2)i.e.L^(2)`. Then `a=(L^(2))/([ML^(2)T^(-3)][T])=M^(-1)L^(0)T^(2).`
Hence correct answer is `(b)`.
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|47 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-III)|6 Videos

  • UNIT TEST PAPER NO.4

    MODERN PUBLICATION|Exercise MCQ|31 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are

A quantity x is defined by the equation x=3C^(2)B^(2), where C is capacitance in farads and B is magnetic field in tesla, the dimension of x are :

The quantities A and B are related by the relation A//B=m, where m is the linear density and A is force, the dimensions of B will be :

The time dependance of a physical quantity P is given by P=P_(0)e^(alphat^(2) where alpha is a constant and t is time. Then constant alpha is :

The equation of state of a real gas can be expressed as (P+(a)/(V^(2)))(v-b)=cT, where P is the pressure, V the volume, T the absolute temperature and a,b,c are constants. What are the dimensions of a' ?

(t ^^ p) harr p , where t is a tautology, is

The position of a particle at time t , is given by the relation : x(t) = ((v_(0))/(alpha)) (1 - e^(-alpha t)) where upsilon_(v) is a constant alpha gt 0 . The dimensions of upsilon_(0) and alpha are respectively .