If an equation is dimensionally correct, does this mean that the equation must be true? if an equation is not dimensionally correct, does this mean that the equation cannot be true? how is dimension analysis used as a check on the plausibiity of derived equations and computations? how does this knowledge you to understand and characterize particular phenomenon? explain.

Explanation: the explanation goes as follow;

A dimensionally correct equation deosn't make the equation true. It is always possible to construct an arbitrary meaningless equation that satisfies the dimensional analysis. we can observe this in different physical quantities that have the same dimensional formula, by inserting a wrong physical parameter into an equation, it may turn out as dimensionally correct, but it wont have any physical meaning.

 A dimensionally incorrect equation necessarily implies that the equation is wrong.

dimensional analysis is a very strong tool that is used to check the trustworthiness of  a derived equation. It helps to compare the dimensions of the output variable from an equation against the true dimensions of the output variable. If both of them are not same, the equation/computation/derivation is incorrect.

 the knowledge of dimensional analysis helps in understanding which variables are necessary for defining a process.

answer: the correct answer is   air pressure at the top of mount everest is higher than at the bottom of the grand canyon.

hope this : )

explanation:

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards