Units and Measurement
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Question : 2
Total: 33
Fill in the blanks by suitable conversion of units
(a) 1 kg m2 s– 2 = ....g cm2 s– 2
(b) 1 m = ... ly
(c) 3.0 m s– 2 = ...km h– 2
(a) 1 kg m
(b) 1 m = ... ly
(c) 3.0 m s
(d) G = 6.67 × 10–11 N m2 (kg)– 2 = .... (cm)3 s– 2 g– 1 .
Solution:
(a) 1 k g m 2 s − 2 = 1 × 10 3 g ( 10 2 c m ) 2 s − 2
= 10 7 g c m 2 s − 2
(b) We know, 1 light year= 9.46 × 10 15 m
∴ 1 m =
light year $$
= 1.057 × 10 − 16 l y = 10 − 16 l y
(c)3 m s − 2 = 3 × 10 − 3 k m ( 1 60 × 60 h ) − 2
= 3.888 × 10 4 k m h − 2
= 3.9 × 10 4 k m h − 2
(d)G = 6.67 × 10 − 11 N m 2 k g − 2
= 6.67 × 10 − 11 ( k g m s − 2 ) m 2 k g − 2
= 6.67 × 10 − 11 m 3 s − 2 k g − 1
= 6.67 × 10 − 11 ( 100 c m ) 3 s − 2 ( 1000 g ) − 1
= 6.67 × 10 − 8 c m 3 s − 2 g − 1
(b) We know, 1 light year
(c)
(d)
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