The radius of a metal sphere is 100 cm at 0-C and 101 cm at 100-C- The coefficient of volume expansion of metal is -

The correct option is B 3×10^ 4/^∘ CIn this case, dt = 100 ; dl = 1 cm = 0.01m; l = 100 cm = 1mSo, α = 0.01/100 ...

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Standard XII

Mathematics

Average Rate of Change

The radius of...

Question

The radius of a metal sphere is 100 cm at $0^{\circ}$ C and 101 cm at $100^{\circ}$ C. The coefficient of volume expansion of metal is :

10^{- 4} /^{\circ}

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3 \times 10^{- 4} /^{\circ}

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2 \times 10^{- 4} /^{\circ}

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1.5 \times 10^{- 4} /^{\circ}

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Solution

The correct option is B $3 \times 10^{- 4} /^{\circ}$ C
In this case, $d t = 100$ ; $d l = 1$ cm $=$ 0.01m; $l = 100$ cm $=$ 1m
So, $α$ $=$ 0.01/100 $=$ 1 X $10^{- 4}$
But $γ = 3$ X $α$
$γ =$ 3X1X $10^{- 4}$

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The radius of a metal sphere is 100 cm at 0∘C and 101 cm at 100∘C. The coefficient of volume expansion of metal is :

The correct option is B 3×10−4/∘CIn this case, dt=100; dl=1cm =0.01m; l=100 cm = 1mSo, α = 0.01/100 = 1 X 10−4But γ=3X α γ=3X1X 10−4

The radius of a metal sphere is 100 cm at $0^{\circ}$ C and 101 cm at $100^{\circ}$ C. The coefficient of volume expansion of metal is :

The correct option is B $3 \times 10^{- 4} /^{\circ}$ C
In this case, $d t = 100$ ; $d l = 1$ cm $=$ 0.01m; $l = 100$ cm $=$ 1m
So, $α$ $=$ 0.01/100 $=$ 1 X $10^{- 4}$
But $γ = 3$ X $α$
$γ =$ 3X1X $10^{- 4}$