MCQ
An $\alpha$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particals will be.
- A$\sqrt{2}: 1$
- ✓$2 \sqrt{2}: 1$
- C$4 \sqrt{2}: 1$
- D$8: 1$
✓
Answer
Correct option: B.
$2 \sqrt{2}: 1$
b
$p =\sqrt{2 mE }=\sqrt{2 mqV }$
$p =\sqrt{2 mE }=\sqrt{2 mqV }$
$\frac{ p _{\alpha}}{ p _{ p }}=\sqrt{\frac{ m _{\alpha} q _{\alpha}}{ m _{ p } q _{ p }}}=\sqrt{\frac{4}{1} \times \frac{2}{1}}$
$=\frac{2 \sqrt{2}}{1}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The focal length of a convex lens is $10 cm$ and its refractive index is $1.5$. If the radius of curvature of one surface is $7.5 cm,$ the radius of curvature of the second surface will be......$cm$
→$X-$ rays are produced in laboratory by
→Myopia is due to
A massless string is wrapped round a disc of mass $M$ and radius $R$. Another end is tied to a mass $m$ which is initially at height $h$ from ground level as shown in the fig. If the mass is released then its velocity while touching the ground level will be
→A non-conducting solid sphere of radius $R$ is uniformly charged. The magnitude of the electric field due to the sphere at a distance $r$ from its centre
→A copper rod of length $l$ is rotated about one end perpendicular to the magnetic field $B$ with constant angular velocity $\omega $. The induced $e.m.f$. between the two ends is
→A solid cylinder of mass $50\, kg$ and radius $0.5\, m $ is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of $2$ revolutions $s^{-2}$ is ...... $N$
→While travelling from one station to another, a car travels $75 \,km$ North, $60\, km$ North-east and $20 \,km $ East. The minimum distance between the two stations is.......$km$
→A wave is reflected from a rigid support. The change in phase on reflection will be
What should be the height of transmitting antenna and the population covered if the television telecast is to cover a radius of $150 \,{km}$ ? The average population density around the tower is $2000 \,/ {km}^{2}$ and the value of ${R}_{{e}}=6.5 \times 10\, {m}$
→