14. The ratio of the lengths of two rods is 4:3
The ratio of their coefficients of cubica
expansion is 2:3. Then the ratio of their linea
expansions when they are heated through
same temperature difference is
1) 2:1 2) 1:2 3) 8:9 4) 9:8
plz guys give ans with clarity explanation
The ratio of their coefficients of cubica
expansion is 2:3. Then the ratio of their linea
expansions when they are heated through
same temperature difference is
1) 2:1 2) 1:2 3) 8:9 4) 9:8
plz guys give ans with clarity explanation
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Answer:
4) 8:9
Explanation:
The relation between cubical expansion coefficient and linear expansion coefficient is,
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3α
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 =
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 = γ
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 = γ 2
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 = γ 2
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 = γ 2
The relation between cubical expansion coefficient and linear expansion coefficient is,γ=3αThus,α 2 α 1 = γ 2 γ
1
=
= 3
= 32
= 32
= 32
= 32 The linear expansion is given as,
= 32 The linear expansion is given as,Δl=αlΔT
= 32 The linear expansion is given as,Δl=αlΔTTherefore,
= 32 The linear expansion is given as,Δl=αlΔTTherefore,Δl
= 32 The linear expansion is given as,Δl=αlΔTTherefore,Δl 2
= 32 The linear expansion is given as,Δl=αlΔTTherefore,Δl 2Δl
1
1 =(
1 =( α
1 =( α 2
1 =( α 2 α
1 =( α 2 α 1
1 =( α 2 α 1
1 =( α 2 α 1 )×
1 =( α 2 α 1 )× l
1 =( α 2 α 1 )× l 2
1 =( α 2 α 1 )× l 2l
1 =( α 2 α 1 )× l 2l 1
=
= 3
= 32
= 32 ×
= 32 × 3
= 32 × 34
= 32 × 34 =
= 32 × 34 = 9
= 32 × 34 = 98
= 32 × 34 = 98 Hope you understand
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The relation between cubical expansion coefficient and linear expansion coefficient is,
Thus,
The linear expansion is given as,