The Youngs modulus of wire of length \( L \) and radius \( r \) is \( Y \). If the length and ra...

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The Youngs modulus of wire of length \( L \) and radius \( r \) is \( Y \).
If the length and radius are reduced to \( \frac{L}{3} \) and \( \frac{r}{2} \), then its Youngs modulus will be
(a) \( Y \)
(b) \( \frac{3}{4} Y \)
(c) \( 3 Y \)
(d) \( 4 Y \)
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