The oscillator frequency of a cyclotron is $10 \,MHz$. What should be the operating magnetic field for accelerating proton is ......... $T$
Easy
Download our app for free and get started
(d)
$f=\frac{q B}{2 \pi m} \quad\left(\because T =\frac{2 \pi m}{q B}\right)$
$\Rightarrow 10 \times 10^6=\frac{1.6 \times 10^{-19} \times B}{2 \pi\left(1.6 \times 10^{-27}\right)}$
$B=0.656 \,T$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A square loop of side $l$ is kept in a uniform magnetic field $B$ such that its plane makes an angle $\alpha$ with $\vec{B}$. The loop carries a current $i$. The torque experienced by the loop in this position isView Solution
- 2A wire of length $314\,cm$ carrying current of $14\,A$ is bent to form a circle. The magnetic moment of the coil is $........A- m ^{2}$. [Given $\left.\pi=3.14\right]$View Solution
- 3View SolutionWhich of the following loop is in stable equallibrium
- 4A coil having $N$ $turns$ carry a current $I$ as shown in the figure. The magnetic field intensity at point $P$ isView Solution
- 5A particle of charge $q$ and mass $m$ moves in a circular orbit of radius $r$ with angular speed $\omega $. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends onView Solution
- 6A particle is moving with velocity $\overrightarrow{ v }=\hat{ i }+3 \hat{ j }$ and it produces an electric field at a point given by $\overrightarrow{ E }=2 \hat{ k }$. It will produce magnetic field at that point equal to (all quantities are in SI units)View Solution
- 7Two concentric circular loops, one of radius $R$ and the other of radius $2 R$, lie in the $x y$-plane with the origin as their common center, as shown in the figure. The smaller loop carries current $I_1$ in the anti-clockwise direction and the larger loop carries current $I_2$ in the clockwise direction, with $I_2>2 I_1 . \vec{B}(x, y)$ denotes the magnetic field at a point $(x, y)$ in the $x y$-plane. Which of the following statement($s$) is(are) current?View Solution
$(A)$ $\vec{B}(x, y)$ is perpendicular to the $x y$-plane at any point in the plane
$(B)$ $|\vec{B}(x, y)|$ depends on $x$ and $y$ only through the radial distance $r=\sqrt{x^2+y^2}$
$(C)$ $|\vec{B}(x, y)|$ is non-zero at all points for $r$
$(D)$ $\vec{B}(x, y)$ points normally outward from the $x y$-plane for all the points between the two loops
- 8A current of $10\,A$ is passing through a long wire which has semicircular loop of the radius $20\,cm$ as shown in the figure. Magnetic field produced at the centre of the loop isView Solution
- 9A particle of mass $m = 1.67 \times 10^{-27}\, kg$ and charge $q = 1.6 \times 10^{-19} \, C$ enters a region of uniform magnetic field of strength $1$ $tesla$ along the direction shown in the figure. the particle leaves the magnetic field at point $D,$ then the distance $CD$ is :-View Solution
- 10Heart-lung machines and artifical kidney machines employ blood pumps. A mechanical pump can mangle blood cells.Figure represents an electromagnetic pump. The blood is confined to an electrically insulating tube, represented as a rectangle of width $\omega$ and height $h.$ Two electrodes fit into the top and the bottom of the tube. The potential difference between them establishes an electric current through the blood, with current density $J$ over a section of length $L.$ A perpendicular magnetic field exists in the same region. The section of liquid in the magnetic field experiences a pressure increase given by :-View Solution
