Consider two sinusoidal current waveforms i1(t) and i2(t). i1(t) has angle phase of θ1 = −45◦ , and reaches its positive peak 0.1875 ms later than the corresponding peak in i2(t). Both currents have a frequency of 1000 Hz. Give the phase angle θ2 for i2(t) in degrees such that −180◦ ≤ θ2 < 180◦ .

In a vernier instrument the main scale is in 1/2 mm divisions .vernier is made by redividing 19 such divisions into 20 equal parts. calculate the least count of the instrument.

Agas contained within a piston-cylinder assembly undergoes three processes in series: process 12: compression with pv= constant from 1 bar and 1 liter to 4 bar. process 23: constant pressure expansion to 1 liter. process 31: constant volume calculate the pressure and volume at each state, and sketch the processes on a p-vdiagram labeled with pressure and volume values at each numbered stat

Suppose a comet has an orbital period of 309.1 years around the sun. what is it’s average distance from the sun?