CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Time Period Independent of Amplitude

Two ions havi...

Question

Two ions having masses in the ratio 1:1 and charges 1:2 are projected into uniform magnetic field perpendicular to the field with speeds in the ratio 2:3 .The ratio of the radii of circular paths along which the two particles move is

A

4:3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

2:3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

3:1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

1:4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 4:3
Answer is A.
In magnetic field
$r = \frac{m V}{q B}$

so, $\frac{r_{1}}{r_{2}} = \frac{m_{1} V_{1}}{q_{1} B_{1}}$ x $\frac{q_{2} B_{2}}{m_{2} V_{2}}$

$= (\frac{m_{1}}{m_{2}}) (\frac{V_{1}}{V_{2}}) (\frac{q_{2}}{q_{1}}) (\frac{B_{2}}{B_{1}})$

$= (\frac{1}{1}) (\frac{2}{3}) (\frac{2}{1}) (\frac{1}{1})$ (as given in problem)

$= \frac{4}{3}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two particles having same charge and

K E

enter at right angles into the same magnetic field and travel in circular paths of radii

2 c m

3 c m

respectively. The ratio of their masses is :

Q. Two particles of different masses

m_{1}

m_{2}

, different charges

Q_{1}

Q_{2}

, are accelerated through the same potential difference and then enter a uniform magnetic field in a direction perpendicular to the field. If they trace circular paths of same radius, then the ratio of their masses (

m_{1}

m_{2}

Q. Two particles having the same momentum enter at right angles into same magnetic field and travel in circular paths of radius

r_{1}

r_{2}

. The ratio of their charges is:

Q. A proton and an

α -

particle (with their masses in the ratio of

1 : 4

and charges in the ratio of

1 : 2

) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their velocities, the ratio of the radii

r_{p} : r_{α}

of the circular path described by them will be :

Q. Two particles

X

Y

having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii

R_{1}

R_{2}

, respectively. The ratio of masses of

X

Y

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Simple Harmonic Oscillation

PHYSICS

Watch in App

explore_more_icon

Explore more

Time Period Independent of Amplitude

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon