In two systems of relations among velocity , acceleration , and force are , respectively , `v_(2) = (alpha^(2))/( beta) v_(1) , a_(2) = alpha beta a_(1), and F_(2) = (F_(1))/( alpha beta)`. If `alpha and beta` are constants , then make relations among mass , length , and time in two systems.

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

The units (U) of velocity acceleration and force in two systems are related as under: (a) U'_(V) = (alpha^(2))/(beta)U_(V) , (b) U'_(a) = (alpha beta)U_(a) (c) U'_(F) = [(1)/(alpha beta)]U_(F) All the primed symbols (U) belong to one system and unprimed ones (U) belong to the other systems. alpha and beta are dimensionless constants. How momentum units of the two systems are related?

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

The velocity, acceleration, and force in two system of units are related as under : (i) v'=(alpha^(2))/(beta)v (ii) a'=(alpha beta)a (iii) F'=((1)/(alpha beta))F All the primed symbols belong to one system and unprimed ones belong to the other system. alpha and beta are dimensionless constants. Which of the following is/are correct ?

The velocity, acceleration, and force in two system of units are related as under : (i) v'=(alpha^(2))/(beta)v (ii) a'=(alpha beta)a (iii) F'=((1)/(alpha beta))F All the primed symbols belong to one system and unprimed ones belong to the other system. alpha and beta are dimensionless constants. Which of the following is/are correct ?

The velocity, acceleration and force in two systems of units are related as under: (i) v'=(alpha^(2))/(beta)v (ii) a'=(alphabeta)a (iii) F'=((1)/(alphabeta))F All the primed symbols belong to one system and unprimed ones belong to the other system. Here alpha and beta are dimensionless constants. Which of the following is/are correct?

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) then tan(alpha+2 beta)tan(2 alpha+beta)=