Two particles X and Y having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and…

Question

Two particles X and Y having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and describe a circular path of radii r_1 and r_2 respectively. The ratio of the mass of X to that of Y is

MARKS Content Team · Accepted Answer

Correct answer: (D) r^1r22. The force acting on the particle inside the magnetic field is F_B=qvBsin⁡θ θ=90°, F_B=qvB This provides the necessary centripetal force F_c=(mv^2)/r ∴ (mv^2)/r=qvB⇒r=mv/qB =√(2mqV qB) r_1/r_2 =√(m_x m_y) m_xm_y=r1r2^2

Two particles $X$ and $Y$ having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and describe a circular path of radii $r_{1}$ and $r_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is

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Relevant Questions

Two particles X and Y having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and describe a circular path of radii r1 and r2 respectively. The ratio of the mass of X to that of Y is

Solution

Relevant Questions

Two particles $X$ and $Y$ having equal charges, are accelerated through the same potential difference. They enter a region of a uniform magnetic field and describe a circular path of radii $r_{1}$ and $r_{2}$ respectively. The ratio of the mass of $X$ to that of $Y$ is