Math, asked by atendrasingh76818, 1 year ago

the distance covered by a particle in time is given by x=a+bt+ct2+dt3 find the dimensions of a, b, c, d​

Answers

Answered by Anonymous
25

Solution :-

We have got the expression of distance x

x = a + bt + ct² + dt³

And question asked is to find out the dimensions of a , b , c and d .

Now first let us consider these dimensions :-

▪️Dimension of length = L

▪️Dimension of time = T

▪️Dimension of mass = M

Now we will consider the distance

Dimension of Distance

= M⁰ L¹ T⁰

So the Dimensions of a , b , c and d must be resulting in the Same form.

Dimension of "a"

As no other quantity is multiplied/divided with it .

So dimension of a = M⁰ L¹ T⁰

Dimension of "b"

As "t" is multiplied with it

So dimension of b = M⁰ L¹ T⁻¹

Dimension of "c"

As t² is multiplied with it

So dimension of c = M⁰ L¹ T⁻²

Dimension of "d"

As t³ is multiplied with it

So dimension of d = M⁰ L¹ T⁻³

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