Answer:
The angle between the diagonal and edge = 55 degrees
Explanation:
We will find it by finding the angle between two vectors (a and b)
We will assume it to be a unit cube
Vector a = (1,1,1) (defines the diagonal vector)
Vector b = (1,0,0) (defines the edge vector)
cos (theta) = (a.b)/(|a|*|b|)

theta = 54.74 degrees
theta = 55 degrees (Rounded to the nearest degree)
Answer:

Explanation:
As per ideal gas law we know that
PV = nRT
so we have


T = 200 K
now we have


Now we know that if pressure remains constant



Now work done in this process is given as



Torque, moment, or moment of force is the tendency of a force to rotate an object around an axis,fulcrum, or pivot. Just as a force is a push or a pull, a torque can be thought of as a twist to an object. Mathematically, torque is defined as the cross product of the vector by which the force's application point is offset relative to the fixed suspension point (distance vector) and the force vector, which tends to produce rotational motion. So torque about the center of the sun due to the gravitational force of attraction of the sun on the planet = (Gxm1xm2 / r^2). r sin(theta) = Gxm1xm2 /r^2). r sin0° = 0
Answer:
The density of the mixture is 0.55kg/m^3
Explanation:
P = 1bar = 100kN/m^2, T = 0°C = 273K, n = 0.4+0.6 = 1mole
PV = nRT
V = nRT/P = 1×8.314×273/100 = 22.70m^3
Mass of N2 = 0.4×28 = 11.2kg
Mass of H2 = 0.6×2 = 1.2kg
Mass of mixture = 11.2 + 1.2 = 12.4kg
Density of mixture = mass/volume = 12.4/22.7 = 0.55kg/m^3