An alpha particle enters a hollow tube of 4 ,m length with an initial speed of 1 ,km/s . It is accel

English

Gujarati

Hindi

2.Motion in Straight Line

medium

An alpha particle enters a hollow tube of $4 \,m$ length with an initial speed of $1 \,km/s$. It is accelerated in the tube and comes out of it with a speed of $9 km/s$. The time for which it remains inside the tube is

A

$8 \times {10^{ - 3}}$s

B

$80 \times {10^{ - 3}}s$

C

$800 \times {10^{ - 3}}s$

D

$8 \times {10^{ - 4}}s$

Solution

(d) ${v^2} = {u^2} + 2as \Rightarrow {(9000)^2} – {(1000)^2}$$ = 2 \times a \times 4$

$ \Rightarrow a = {10^7}m/{s^2}$ Now $t = \frac{{v – u}}{a}$

$ \Rightarrow \;t = \frac{{9000 – 1000}}{{{{10}^7}}} = 8 \times {10^{ – 4}}\;sec$

Standard 11

Physics

Share

Similar Questions

A particle starts from rest and traverses a distance $l$ with uniform acceleration, then moves uniformly over a further distance $2 l$ and finally comes to rest after moving a further distance $3 l$ under uniform retardation. Assuming entire motion to be rectilinear motion the ratio of average speed over the journey to the maximum speed on its ways is

hard

A particle starts its motion from rest under the action of a constant force. If the distance covered in first $10$ seconds is $S_1$ and that covered in the first $20$ seconds is $S_2$ , then

medium

(AIPMT-2009)

What would be the stopping distance if the velocity of vehicle becomes three times ?

medium

Which of the following represents uniformly accelerated motion?

medium

A three-wheeler starts from rest, accelerates uniformly with $1\; m/s^{2}$ on a straight road for $10\; s$, and then moves with uniform velocity. Plot the distance covered by the vehicle during the $n ^{\text {th }}$ second $( n =1,2,3 \ldots .)$ versus $n$. What do you expect this plot to be during accelerated motion : a straight line or a parabola?

medium