Tag: physics

Evidence of various kinds suggests that at the center of our galaxy is a black hole.

The kilogram represents the unit of a physical quantity and not the physical quantity

Unit of mass is kilogram and here, kilo is a prefix used in the unit. Thus mass is the physical quantity which has prefix with its unit.

$I = AT^2 e^{-B/kT}$
Dimensionally, $A = I/T^2$, dimensions of B = kT
($\because$ power of exponential is a number)
$\displaystyle AB^2 = \frac{I}{T^2} (kT)^2 = Ik^2$

Relative density is a unitless quantity. Thus the given statement is false.

Given F = A / (B + sqrt(d)), for the equation to be dimensionally consistent, B must have the same dimensions as sqrt(d), which is (ML^-3)^0.5 = M^0.5 L^-1.5. Since F = [MLT^-2], then A = F * (B + sqrt(d)) = [MLT^-2] * [M^0.5 L^-1.5] = M^1.5 L^-0.5 T^-2.