Question 168: Units , Dimensions and Error Analysis

Question

The force is given in terms of time t and displacement x by the equation
F = A cos Bx + C sin Dt
The dimensional formula of ${{AD} \over B}$ is :

Accepted Answer

$[A] = [ML{T^{ - 2}}]$
$[B] = [{L^{ - 1}}]$
$[D] = [{T^{ - 1}}]$
$\left[ {{{AD} \over B}} \right] = {{[ML{T^{ - 2}}][{T^{ - 1}}]} \over {[{L^{ - 1}}]}}$
$\left[ {{{AD} \over B}} \right] = [M{L^2}{T^{ - 3}}]$

Answer

$[{M^0}L{T^{ - 1}}]$

Answer

$[M{L^2}{T^{ - 3}}]$

Answer

$[{M^1}{L^1}{T^{ - 2}}]$

Answer

$[{M^2}{L^2}{T^{ - 3}}]$

Units , Dimensions and Error Analysis

The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin Dt The dimensional formula of {{AD} \over B} is :

Choose the correct answer: