AP EAMCET · PHYSICS · Magnetic Effects of Current
If ' \(q\) ' is electric charge, B is magnetic field, ' \(R\) ' is the dee radius and ' \(\mathrm{m}\) ' is the mass of ions, the kinetic energy of the ions in cyclotron is given by
- A \(\frac{\mathrm{qBR}}{2 \mathrm{~m}}\)
- B \(\frac{\mathrm{qBR}}{\mathrm{m}}\)
- C \(\frac{\mathrm{q}^2 \mathrm{~B}^2 \mathrm{R}^2}{4 \pi \mathrm{m}}\)
- D \(\frac{\mathrm{q}^2 \mathrm{~B}^2 \mathrm{R}^2}{2 \mathrm{~m}}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{q}^2 \mathrm{~B}^2 \mathrm{R}^2}{2 \mathrm{~m}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{R}=\frac{\mathrm{mv}}{\mathrm{qB}} ; \mathrm{P}=\mathrm{RqB}\) The kinetic energy of ions in cyclotron is given by \(K . E=\frac{P^2}{2 m}=\frac{q^2 R^2 B^2}{2 m}\)
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
- A body is projected vertically upwards with a velocity from the top of a tower. Time taken by it to reach the ground is times the time taken by it to reach the highest point in its path. Height of the tower isAP EAMCET 2018 Medium
- One end of a wire of \(8 \mathrm{~mm}\) radius and \(100 \mathrm{~cm}\) length is fixed and the other end is twisted through an angle of \(45^{\circ}\). The angle of shear isAP EAMCET 2021 Medium
- Block \(A\) of mass \(100 \mathrm{~kg}\) is kept above another block \(B\) of mass \(300 \mathrm{~kg}\). \(A\) is tied to the wall \(C\) with a horizontal string. The coefficient of friction between \(A\) and \(B\) is 0.35 and that between \(B\) and the horizontal surface is 0.5 . Find the horizontal force \(p\), necessary to move the block \(B\).
AP EAMCET 2021 Hard - Assertion (A)When proton and a neutron enter into a transverse magnetic field with equal speeds, then they trace a circular paths of equal radii.
Reason (R) In a transverse magnetic field the period of revolution of a charged particle in a circular path is directly proportional to the mass of the particle.AP EAMCET 2019 Easy - Among the following, the equation representing a progressive wave is
(A) \(y=2 \cos 3 x \sin 10 t\)
(B) \(\mathrm{y}=2 \sqrt{\mathrm{x}-\mathrm{vt}}\)
(C) \(y=3 \sin (5 x-0.5 t)+4 \cos (5 x-0.5 t)\)
(D) \(y=\cos x \sin t+\cos 2 x \cdot \sin 2 t\)AP EAMCET 2022 Medium - The magnetised wire of moment \(M\) and length \(l\) is bent in the form of semicircle of radius \(r\). Then its magnetic moment isAP EAMCET 2008 Medium
More PYQs from AP EAMCET
- Which among the following represents the expression for \(\left(\frac{3}{4}\right)^{\text {th }}\) life of \(1^{\text {st }}\) order reaction?AP EAMCET 2006 Medium
- Identify the incorrect statement regarding crystals having Frenkel defect.AP EAMCET 2021 Medium
- A ray of light passing through the point \(A(1,2,3)\) strikes the plane \(x+y+z=12\) at \(B\) and on reflection if passes through \(C(3,5,9)\), then \(O B\) is equal toAP EAMCET 2021 Hard
- If the range of a body projected with a velocity of \(60 \mathrm{~m} \mathrm{~s}^{-1}\) is \(180 \sqrt{3} \mathrm{~m}\), then the angle of projection of the body is
(Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )AP EAMCET 2025 Medium - If the mean and standard deviation of a binomial distribution are and , respectively, then the number of trials is ________AP EAMCET 2020 Easy
- One mole of an organic compound with the formula reacts completely with two moles of to form and . When is boiled with aqueous alkali it forms . answers the iodoform test. The compound isAP EAMCET 2020 Medium