MCQ
An elevator car, whose floor to ceiling distance is equal to $2.7 \,m$, starts ascending with constant acceleration of $1.2 \;ms^{-2}$. $2 \,sec$ after the start, a bolt begins fallings from the ceiling of the car. The free fall time of the bolt is.........$s$
  • A
    $\sqrt {0.54} $
  • B
    $\sqrt 6$
  • $0.7$
  • D
    $1$

Answer

Correct option: C.
$0.7$
c
(c) $t = \sqrt {\frac{{2h}}{{(g + a)}}} $

$ = \sqrt {\frac{{2 \times 2.7}}{{(9.8 + 1.2)}}} = \sqrt {\frac{{5.4}}{{11}}} = \sqrt {0.49} = 0.7\sec $

As $u = 0$ and lift is moving upward with acceleration

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

Similar questions

A gas is enclosed in a closed pot. On keeping this pot in a train moving with high speed, the temperature of the gas
A proton and an electron are accelerated by the same potential difference. Let $\lambda_\text{e}$ and $\lambda_\text{p}$ denote the de Broglie wavelengths of the electron and the proton respectively.

  1. $\lambda_\text{e}=\lambda_\text{p}.$

  2. $\lambda_\text{e}<\lambda_\text{p}.$

  3. $\lambda _\text{e}>\lambda_\text{p}.$

  4. The relation between $\lambda_\text{e}$, and $\lambda_\text{p}$ depends on the accelerating potential difference.

Dimensions of strain are
The angle turned by a body undergoing circular motion depends on time as $\theta = {\theta _0} + {\theta _1}t + {\theta _2}{t^2}$. Then the angular acceleration of the body is
Neglecting the air resistance, the time of flight of a projectile is determined by
A small bob tied at one end of a thin string of length $1\, m$ is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio $5: 1 .$ The velocity of the bob at the height position is ............. $m / s$ (Take $\left.g=10 \,m / s ^{2}\right)$
A particle of mass $2\, kg$ is on a smooth horizontal table and moves in a circular path of radius $0.6\, m$. The height of the table from the ground is $0.8\, m$. If the angular speed of the particle is $12\, rad\, s^{-1}$, the magnitude of its angular momentum about a point on the ground right under the centre of the circle is ........ $kg\, m^2\,s^{-1}$
Energy of all molecules of a monoatomic gas having a volume $V$ and pressure $P$ is $\frac{3}{2}PV$. The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is
Four mole of hydrogen, two mole of helium and one mole of water vapour form an ideal gas mixture. What is the molar specific heat at constant pressure of mixture?
A composition string is made up by joining two strings of different masses per unit length $\rightarrow \mu$ and $4\mu$ . The composite string is under the same tension. A transverse wave pulse $: Y = (6 mm) \,\,sin\,\,(5t + 40x),$ where $‘t’$ is in seconds and $‘x’$ in meters, is sent along the lighter string towards the joint. The joint is at $x = 0$. The equation of the wave pulse reflected from the joint is