Units and Measurement

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Question : 2
Total: 33
Fill in the blanks by suitable conversion of units
(a) 1 kg m2 s2 = ....g cm2 s2
(b) 1 m = ... ly
(c) 3.0 m s2 = ...km h2
(d) G = 6.67 × 10–11 N m2 (kg)2 = .... (cm)3 s2 g1.
Solution:  
(a) 1 kg m2 s2=1×103 g(102 cm )2s2
=107 g cm2 s2
(b) We know, 1 light year =9.46×1015m
1m=
1
9.46×1015
light year $$
=1.057×1016 ly=1016 ly
(c) 3 ms2=3×103 km ( 160×60 h )2
=3.888×104 km h2
=3.9×104 km h2
(d) G=6.67×1011Nm2 kg2
=6.67×1011( kg m s2 ) m2 kg2
=6.67×1011 m3 s2 kg1
=6.67×1011(100 cm)3 s2(1000 g)1
=6.67×108 cm3 s2 g1
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