If the maximum value of accelerating potential provided by a rati… - Vidyadip

MCQ

If the maximum value of accelerating potential provided by a ratio frequency oscillator is $12\, {kV}$. The number of revolution made by a proton in a cyclotron to achieve one sixth of the speed of light is ....... .

$\left[{m}_{{p}}=1.67 \times 10^{-27} {kg}, {e}=1.6 \times 10^{-19} {C},\right.$ Speed of light $\left.=3 \times 10^{8} {m} / {s}\right]$

A
$343$
B
$345$
✓
$543$
D
$534$

✓

Answer

Correct option: C.

$543$

c
${V}=12\, {kV}$

Number of revolution $={n}$

${n}\left[2 \times {q}_{{P}} \times {V}\right]=\frac{1}{2} {m}_{{p}} \times {v}_{{P}}^{2}$

${n}\left[2 \times 1.6 \times 10^{-19} \times 12 \times 10^{3}\right.$

$=\frac{1}{2} \times 1.67 \times 10^{-27} \times\left[\frac{3 \times 10^{8}}{6}\right]^{2}$

${n}\left(38.4 \times 10^{-16}\right)=0.2087 \times 10^{-11}$

${n}=543.4$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In the figure given below, the current passing through $6\,\Omega $ resistor is ........... $ampere$

To paint the side of $a$ building, painter normally hoists himself up by pulling on the rope $A$ as in figure. The painter and platform together weigh $200N$. The rope $B$ can withstand $300N$. Then

A cubical box with porous walls containing an equal number of ${O_2}$ and $H_2$ molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature $T.$ The ratio of ${v_{rms}}$ of ${O_2}$ molecules to that of the ${v_{rms}}$ of $H_2$ molecules, found in the chamber outside the box after a short interval is

The bob $A$ of simple pendulum is released when the string makes an angle of $45^o$ with the vertical. It hits another bob $B$ of the same material and same mass kept at rest on the table. If the collision is elastic, then

The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by ..... $\%$

Two masses $A$ and $B$ of $10\, kg$ and $5 \,kg$ respectively are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown. The coefficient of static friction of $A$ with table is $0.2$. The minimum mass of $C$ that may be placed on $A$ to prevent it from moving is ........ $kg$

A body of mass $3\, kg$ is under a constant force which causes a displacement $s$ in metres in it, given by the relation $s=$$\frac{1}{3}{t^2}$ , where $t$ is in seconds. Work done by the force in $2$ seconds is

A displacement vector of magnitude $4$ makes an angle $30^{\circ}$ with the $x$-axis. Its rectangular components in $x-y$ plane are .........

At what temperature the centigrade (Celsius) and Fahrenheit, readings are the same ........ $^o$

What is the path difference of destructive interference