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Q1. Three capacitors are arranged as shown. C1 has the capacitance of 9 pF, C2 has a capacitance of 18 pF and C3 has a capacitance of 27 pF. Find voltage drop across the entire arrangement if the voltage drop across C2 is 258 V.

Q2. In a nebula, the amount of interstellar extinction in the visible wavelength band is 1.1 magnitudes. The thickness of the nebula is estimated to be 16 pc and it is located 458 pc away.

Assume an ‘F type' spectral star is observed in the direction of the nebula and that the absolute visible magnitude of the star is 0.5 from spectroscopic data.

Overlook any other sources of extinction between source and observer.

Find the apparent visual magnitude m of the star if it is lying in front of nebula.

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