Three stars, labelled A, B and C, have the following luminous powers (total energy…

PHYSICS · Multi-part · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

Three stars, labelled A, B and C, have the following luminous powers (total energy radiated per second): Star A: 3.85×1026 W3.85\times10^{26}\,\text{W} Star B: 2.30×1031 W2.30\times10^{31}\,\text{W} Star C: 6.0×1018 W6.0\times10^{18}\,\text{W} (i) Arrange the stars in ascending order of their luminous power and write the order of magnitude for each. (ii) Calculate how many times more luminous Star B is than Star A. Express the factor as a×10na\times10^{n} with 1≤a<101\le a<10. (iii) If an artificial satellite requires 4.0×103 W4.0\times10^{3}\,\text{W} to operate, determine the factor by which the luminosity of Star C exceeds this requirement. (iv) Comment, with numerical support, on whether Star C can be considered faint or bright compared with the other two stars.

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