The value of x, y and z respectively in the expression MxLyTz for the universal gravitational constant G are
Answer Details
The expression for the universal gravitational constant G is MxLyTz. The dimensions of M, L, and T respectively represent mass, length, and time. The equation suggests that the dimensions of M, L, and T in G must be balanced on both sides of the equation.
We know that G = F * R^2 / (m1 * m2), where F is the gravitational force, R is the distance between the two masses, and m1 and m2 are the two masses. On equating the dimensions on both sides of the equation, we get:
[M^1 L^3 T^-2] = [M^1 x M^1 / L^2 x L^2] x [L^2] x [M^1 x M^1]
Simplifying this expression, we get:
[M^1 L^3 T^-2] = [M^2 L^3 T^-2]
On comparing the dimensions of M, L, and T on both sides of the equation, we get:
x = -2
y = 1
z = -3
Therefore, the answer is option (C): -1, 2, -3.