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

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

Similar Questions

What is the relation between displacement, time and acceleration in case of a body having uniform acceleration

A rocket is moving in a gravity free space with a constant acceleration of $2 \ ms ^{-2}$ along $+x$ direction (see figure). The length of a chamber inside the rocket is $4 \ m$. A ball is thrown from the left end of the chamber in $+x$ direction with a speed of $0.3 \ ms ^{-1}$ relative to the rocket. At the same time, another ball is thrown in $-x$ direction with a speed of $0.2 \ ms ^{-1}$ from its right end relative to the rocket. The time in seconds when the two balls hit each other is:

  • [IIT 2014]

A particle with initial velocity $v_0$ moves with constant acceleration in a straight line. Find the distance travelled in $n^{th}$ second.

A student is standing at a distance of $50\,metres$ from the bus. As soon as the bus begins its motion with an acceleration of $1\,ms^{-2}$, the student starts running towards the bus with a uniform velocity $u$. Assuming the motion to be along a straight road, the minimum value of $u$, so that the student is able to catch the bus is.........$ms^{-1}$

  • [AIIMS 2010]

A bullet from a gun is fired on a rectangular wooden block with velocity $u$.When bullet travels $24\,cm$ through the block along its length horizontally, velocity of bullet becomes $\frac{u}{3}$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is $........\,cm$

  • [NEET 2023]