In the n-3 level and for a given orbital angular momentum, one of the two angles closest to 90 that the total angular momentum makes with the z-axis is 75°. to what value of m, must this direction correspond, and what it the value of j, the total angular momentun quantum number? if the orbital angular momentum is making the smallest possible angle with the z-axis, write the spectroscopic notation for this state.

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

A-of 75 cm by cm by 17.5 cm up. of is 2 kg a , in ,if it is in , kg/?

If a tank filled with water contains a block and the height of the water above point a within the block is 0.8 meter, what is the pressure at point a?