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Class 11
Physics
Unit & measurment
fill in the blanks by suitable conversion of units...

Question:
Fill in the blanks by suitable conversion of units:

(a) 1 kg m²s^–2= ....g cm²s^–2

(b) 1 m =..... ly

(c) 3.0 m s^–2=.... km h^–2

(d) G = 6.67 × 10^–11 N m² (kg)^–2=.... (cm)3s^–2 g^–1.

Answer:

(a) 1 kg = 10³ g

1 m² = 10⁴ cm²

1 kg m² s^–2 = 1 kg × 1 m² × 1 s^–2

=10³g × 10⁴ cm² × 1 s^–2 = 10⁷ g cm² s^–2

1 kg m²s^–2 = 10⁷ g cm² s^–2

(b) Distance = Speed × Time

Speed of light = 3 × 10⁸ m/s

Time = 1 year = 365 days = 365 × 24 hours = 365 × 24 × 60 × 60 sec

Putting these values in above formula we get

1 light year distance = (3 × 10⁸ m/s) × (365 × 24 × 60 × 60 s) = 9.46 × 1015 m 9.46 × 10¹⁵ m = 1 ly

So that 1 m = 1/ 9.46 × 10¹⁵ ly = 1.06 × 10^-16 ly

1 km = 1000 m so that 1 m = 1/1000 km

3.0 m s^–2 = 3.0 (1/1000 km)( 1/3600 hour)^-2 = 3.0 × 10^–3 km × ((1/3600)^-2 h^–2)

= 3.0 × 10^–3 km × (3600)² h^–2 = 3.88 × 10⁴ km h^–2 3.0 m s^–2

= 3.88 × 10⁴ km h^–2

(d) Given,

G= 6.67 × 10^–11 N m² (kg)^–2

We know that

1 N = 1 kg m s^–2

1 kg = 10³ g

1 m = 100 cm = 10² cm

Putting above values,we get

6.67 × 10^–11 N m² kg^–2 = 6.67 × 10^–11 × (1 kg m s^–2) (1 m²) (1Kg^–2)

Solve and cancel out the units we get

⇒ 6.67 × 10^–11 × (1 kg^–1 × 1 m³ × 1 s^–2)

Putting above values to convert Kg to g and m to cm

⇒ 6.67 × 10^–11 × (10³ g)^-1 × (10² cm)³ × (1 s^–2)

⇒ 6.67 × 10^–11× 10^-3 g^-1 × 10⁶ cm³ × (1 s^–2)

⇒ 6.67 × 10^–8 cm3 s^–2 g^–1

G = 6.67 × 10^–11 N m² (kg)^–2

= 6.67 × 10^–8 (cm)3s^–2 g–1.

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Question:
Fill in the blanks by suitable conversion of units:

(a) 1 kg m²s^–2= ....g cm²s^–2

(b) 1 m =..... ly

(c) 3.0 m s^–2=.... km h^–2

(d) G = 6.67 × 10^–11 N m² (kg)^–2=.... (cm)3s^–2 g^–1.

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Question: Fill in the blanks by suitable conversion of units: (a) 1 kg m2s–2= ....g cm2 s–2 (b) 1 m =..... ly (c) 3.0 m s–2=.... km h–2 (d) G = 6.67 × 10–11 N m2 (kg)–2=.... (cm)3s–2 g–1.

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Popular questions of class 11 Physics

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Question:
Fill in the blanks by suitable conversion of units:

(a) 1 kg m²s^–2= ....g cm²s^–2

(b) 1 m =..... ly

(c) 3.0 m s^–2=.... km h^–2

(d) G = 6.67 × 10^–11 N m² (kg)^–2=.... (cm)3s^–2 g^–1.