AP EAMCET · PHYSICS · Magnetic Effects of Current
A proton and an alpha particle moving with energies in the ratio \(1: 4\) enter a uniform magnetic field of \(3 T\) at right angles to the direction of magnetic field. The ratio of the magnetic forces acting on the proton and the alpha particle is
- A \(1: 2\)
- B \(1: 4\)
- C \(2: 3\)
- D \(1: 3\)
Answer & Solution
Correct Answer
(A) \(1: 2\)
Step-by-step Solution
Detailed explanation
\(\frac{E_1}{E_2}=\frac{1}{4} \Rightarrow \frac{\frac{1}{2} m_1 v_1^2}{\frac{1}{2} m_2 v_2^2}=\frac{1}{4} \Rightarrow\left(\frac{1}{4}\right)\left(\frac{v_1}{v_2}\right)^2=\frac{1}{4}\) \(\therefore \quad \mathrm{v}_1=\mathrm{v}_2\) \(\therefore \quad\) Ratio of force,…
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