Physics

Match the following:

Energy $$ ML^{-1}T^{-2} $$
Torque $$ ML^2T^{-2} $$
Planks Constant $$ ML^2T^{-1} $$
Angular Momentum $$ MLT^{-1} $$

ANSWER

1,5,10,14


SOLUTION
Energy E = Work done = $$Force \times displacement$$
or $$E=\left[MLT^{-2}\right]\left[L\right]=\left[ML^{2}T^{-2}\right]$$.

Torque, $$\tau =Force \times $$ perpendicular distance 
Or, $$\tau=\left[MLT^{-2}\right]\left[L\right]=\left[ML^{2}T^{-2}\right]$$.
 
Planck's Constant $$h=\dfrac { E }{ \nu  } =\dfrac { ML^{ 2 }T^{ -2 } }{ { T }^{ -1 } } =ML^{ 2 }T^{ -1 }$$

Angular Momentum $$\vec { L } =\vec { r } \times \vec { P } =\left[ L \right] \left[ M \right] \left[ LT^{ -1 } \right] =\left[ ML^{ 2 }T^{ -1 } \right] $$

The correct answer is :
2
2
3
3
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Matrix Medium Published on 18th 08, 2020
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