Two solid bars are having Young's modulus Y _1 and Y _2 in the ra… - Vidyadip

MCQ

Two solid bars are having Young's modulus $Y _1$ and $Y _2$ in the ratio $\left( Y _1 / Y _2\right)=4$. If th bars are made up of the material with the same density, then the ratio of the speed of longitudinal waves in the solid bars, i.e. $\left( v _1 / v _2\right)$ is:

A
3
B
1
C
2
D
4

✓

Answer

C. 2
Explanation:
$v=\sqrt{\frac{Y}{\rho}}$
where $Y =$ Young's modulus
$\rho=$ Mass density
Since solid bars are made up of the materials with same density,
hence $\rho_1=\rho_2$ and $\frac{v_1}{v_2}=\sqrt{\frac{Y_1}{Y_2}}=\sqrt{4}=2$

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