Question

if y represent acceleration and x represent velocity gradient then the dimensions of dx/dy are?.
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Answer 1

Answer:

The unit of dx/dy is second.

Thus dimension will be [M°L°T]

Answer 2

The dimensions of dx/dy will be M°L^(-1)T.

Given,

Acceleration (y) and velocity gradient (x)

To find,

Dimensions of dx/dy

Solution,

The dimensions of dx/dy will be equal to the dimensions of x/y

We can simply solve this question by following this process.

In physics, acceleration is the rate of change of velocity, so acceleration has dimensions M°LT∧(-2).

Also, velocity gradient = velocity/distance,

So, the dimensions of velocity gradient will be = M°LT∧(-1)/L. = M°T∧(-1)

We have, x = Velocity gradient and y = acceleration

Hence, dimensions of x/y = M°T∧(-1)/M°LT∧(-2)

We get dimensions of x/y = M°L∧(-1)T.

This is the final answer, the dimensions of dx/dy are M°L∧(-1)T.

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