Two base balls (masses: $m_1=100 \mathrm{~g}$, and $m_2=50 \mathrm{~g}$ ) are thrown. Both of them move with uniform velocity, but the velocity of $m_2$ is 1.5 times that of $m_1$. The ratio of de Broglie wavelengths $\lambda\left(m_1\right): \lambda\left(m_2\right)$ is given by

Question

Two base balls (masses: $m_1=100 \mathrm{~g}$, and $m_2=50 \mathrm{~g}$ ) are thrown. Both of them move with uniform velocity, but the velocity of $m_2$ is 1.5 times that of $m_1$. The ratio of de Broglie wavelengths $\lambda\left(m_1\right): \lambda\left(m_2\right)$ is given by, $4: 3$, $3: 4$, $2: 1$, $1: 2$

MARKS App · Accepted Answer

Hint : $\frac{\lambda_1}{\lambda_2}=\frac{m_2 \mathrm{~V}_2}{m_1 \mathrm{~V}_1}=\frac{50 \times 1.5 \mathrm{~V}_1}{100 \times \mathrm{V}_1}=\frac{1.5}{2}=\frac{3}{4}$

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