Question

Given, Force $ = \frac{\alpha }{{{\rm{density}} + {\rm{\;}}{{\rm{\beta }}^3}}}$ What are the dimensions of ${\rm{\alpha }},{\rm{\beta }}?$

Accepted Answer

$\left[ {{{\rm{M}}^2}{{\rm{L}}^{ - 2}}{{\rm{T}}_2}} \right],{\rm{\;}}\left[ {{\rm{M}}{{\rm{L}}^{ - 3}}} \right]$

Answer

$\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right],{\rm{\;}}\left[ {{\rm{M}}{{\rm{L}}^{ - 1/3}}} \right]$

Answer

$\left[ {{{\rm{M}}^2}{{\rm{L}}^4}{{\rm{T}}^{ - 2}}} \right],{\rm{\;}}\left[ {{{\rm{M}}^{1/3}}{{\rm{L}}^{ - 1}}} \right]$

Answer

$\left[ {{{\rm{M}}^2}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}} \right],{\rm{\;}}\left[ {{{\rm{M}}^{1/3}}{{\rm{L}}^{ - 1}}} \right]$

JEE PHYSICS MCQ: UNITS & MEASUREMENTS

More Questions from UNITS & MEASUREMENTS