MHT CET · Physics · Magnetic Effects of Current
Two particles A and B have equal charges but different masses \(\mathrm{M}_{\mathrm{A}}\) and \(\mathrm{M}_{\mathrm{B}}\). After being accelerated through same potential difference enter the region of uniform
magnetic field and describe the path of radii \(\mathrm{R}_{\mathrm{A}}\) and \(\mathrm{R}_{\mathrm{B}}\) respectively. Then \(\mathrm{M}_{\mathrm{A}}: \mathrm{M}_{\mathrm{B}}\)
is
- A \(\frac{\mathrm{R}_{\mathrm{A}}}{\mathrm{R}_{\mathrm{B}}}\)
- B \(\frac{\mathrm{R}_{\mathrm{B}}}{\mathrm{R}_{\mathrm{A}}}\)
- C \(\left(\frac{\mathrm{R}_{\mathrm{A}}}{\mathrm{R}_{\mathrm{B}}}\right)^{2}\)
- D \(\left(\frac{\mathrm{R}_{\mathrm{B}}}{\mathrm{R}_{\mathrm{A}}}\right)^{2}\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{\mathrm{R}_{\mathrm{A}}}{\mathrm{R}_{\mathrm{B}}}\right)^{2}\)
Step-by-step Solution
Detailed explanation
\(qV = \frac{1}{2}mv^2 \implies v = \sqrt{\frac{2qV}{m}}\) \(R = \frac{mv}{qB} = \frac{m}{qB} \sqrt{\frac{2qV}{m}} = \frac{1}{qB} \sqrt{2mqV}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An elevator of mass is connected to a rope which pulls the elevator up with a maximum acceleration equal to . If the maximum bearable tension in the rope is , then for a safe journey the minimum diameter of the rope is [ = acceleration due to gravity]MHT CET 2017 Medium
- Two boys are standing at points \(A\) and \(B\) on ground, where distance \(A B=x\). The boy at \(B\) stars running perpendicular to \(A B\) with velocity \(V_1\). The boy at A starts running simultaneously with velocity v and meets the other boy in time \(t\). The value of \(t\) isMHT CET 2025 Medium
- Velocity of light in diamond is \(\left(\frac{5}{12}\right)^{\text {th }}\) times that in air. Velocity of light in water is \(\left(\frac{3}{4}\right)^{\text {th }}\) times that in air. The angle of incidence of ray of light travelling from water to diamond is (angle of refraction \(\left.(r)=30^{\circ}\right)\left\lceil\right.\) Given \(\left.\rightarrow \sin 30^{\circ}=\frac{1}{2}\right\rceil\)MHT CET 2024 Medium
- The electron in hydrogen atom is moving in an orbit of radius \(0.53 Å\). It takes \(1.571 \times 10^{-16} \mathrm{~s}\) to complete one revolution. The velocity of electron will be \([\pi=3 \cdot 142]\)MHT CET 2020 Easy
- In case of p-n junction diode, the width of depletion region isMHT CET 2019 Easy
- A small metal sphere of mass 'M' and density 'd \(_{1}\) ', when dropped in a jar filled with liquid moves with terminal velocity after some time. The viscous force acting on the sphere is \(\left(d_{2}=\right.\) density of liquid, \(\mathrm{g}=\) gravitational acceleration \()\)MHT CET 2020 Medium
More PYQs from MHT CET
- A metal ball released from height 'h' makes perfectly elastic collision with ground. The frequency of periodic vibratory motion is \(\quad(\mathrm{g}=\) acceleration due to gravity \()\)MHT CET 2020 Medium
- Which of the following is the molecular formula of halous acid of chlorine?MHT CET 2025 Easy
- When a resistance of \(200 \Omega\) is connected in series with a galvanometer of resistance ' \(G\) ', its range is ' V '. To triple its range, a resistance of \(2000 \Omega\) is connected in series. The value of ' \(G\) ' isMHT CET 2024 Medium
- If \(2 a+b+3 c=0\), then the line \(a x+b y+c=0\) passes through the fixed point that isMHT CET 2012 Easy
- The equation of the line, passing through \((1,2,3)\) and parallel to planes \(x-y+2 z=5\) and \(3 x+y+z=6\), isMHT CET 2023 Easy
- A ladder 5 m in length is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of \(2 \mathrm{~m} / \mathrm{sec}\). How fast is the height on the wall decreasing when the foot of the ladder is 4 m away from the wall?MHT CET 2024 Easy