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Question: For a body moving along x-axis, the distance travelled by body from a reference point is given as fu...

For a body moving along x-axis, the distance travelled by body from a reference point is given as function of time t as x = at2 + b, where a and b are constants, then the dimension of ab\sqrt{ab} is same as -

A

Speed

B

Distance traveled

C

Acceleration

D

None of these

Answer

Speed

Explanation

Solution

As x = at2 + b therefore [a] = [LT–2] and [b] = [L]

\ [ab] = [L2 T–2]