3 years ago

Does natural selection produce a change in individuals or populations?

1 answer:

6 0

Explanation:

Natural selection is the process through which populations of living organisms adapt and change. Individuals in a population are naturally variable, meaning that they are all different in some ways. This variation means that some individuals have traits better suited to the environment than others

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Using dimensional analysis, show that energy can be calculated from the following energy equations. Hint, in SI, here we want Jo

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Explanation:

1. The kinetic energy of any object is calculated as :

$E=\dfrac{1}{2}mv^2$ ...........(1)

Dimensional formula of energy, $[E]=[ML^2T^{-2}]$

Dimensional formula of mass is $[M]$

Dimensional formula of velocity, $[v]=[LT^{-1}]$

$[ML^2T^{-2}]=\dfrac{1}{2}[M]([LT^{-1}])^2$

So, $[ML^2T^{-2}]=[ML^2T^{-2}]$

LHS = RHS

2. The potential energy is given by :

$E=mgh$

Dimensional formula of mass is $[M]$

Dimensional formula of g is $[LT^{-2}]$

Dimensional formula of height is $[L]$

Dimensional formula of energy, $[E]=[ML^2T^{-2}]$

So, $E=[M][LT^{-2}][L]$

So, LHS = RHS

Hence, this is the required solution.

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