MCQ
If ${W_1},\,{W_2}$ and ${W_3}$ represent the work done in moving a particle from $A$ to $B$ along three different paths $1, 2$ and $3$ respectively (as shown) in the gravitational field of a point mass m, find the correct relation between ${W_1},\,{W_2}$ and ${W_3}$
  • A
    ${W_1} > {W_2} > {W_3}$
  • ${W_1} = {W_2} = {W_3}$
  • C
    ${W_1} < {W_2} < {W_3}$
  • D
    ${W_2} > {W_1} > {W_3}$

Answer

Correct option: B.
${W_1} = {W_2} = {W_3}$
b
(b)Gravitational force is a conservative force and work done against it is a point function i.e. does not depend on the path.

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

The figure shows an isosceles triangular plate of mass $M$ and base $L$. The angle at the apex is $90^o$. The apex lies at the origin and the base is parallel to $X$ -axis The moment of inertia of the plate about the $y$ -axis is 
A ball hits a vertical wall horizontally at $10m/s$  bounces back at $10 m/s$ 
Match the columns

  Column $-I$
    $R/H_{max}$
  Column $-II$
  Angle of projection $\theta $
   $A.$ $1$    $1.$ ${60^o}$
   $B.$ $4$    $2.$ ${30^o}$
   $C.$ $4\sqrt 3$    $3.$ ${45^o}$
   $D.$ $\frac {4}{\sqrt 3}$    $4.$ $tan^{-1}\,4\,=\,{76^o}$

 

In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_{1}$ of the force, while the energy is maximum for a frequency $\omega_{2}$ of the force, then
For a given velocity, a projectile has the same range $R$ for two angles of projection if $t_1$ and $t_2$ are the times of flight in the two cases then
A uniform rod of length $'l'$ is pivoted at one of its ends on a vertical shaft of negligible radius When the shaft rotates at angular speed $\omega$ the rod makes an angle $\theta$ with it (see figure). To find $\theta$ equate the rate of change of angular momentum (direction going into the paper ) $\frac{ m \ell^{2}}{12} \omega^{2} \sin \theta \cos \theta$ about the centre of mass $(CM)$ to the torque provided by the horizontal and vertical forces $F_{H}$ and $F_{V}$ about the CM. The value of $\theta$ is then such that:
The acceleration of a train travelling with speed of $400 \,m/s$ as it goes round a curve of radius $160\,m$, is
A body executes simple harmonic motion. The potential energy $(P.E.)$, the kinetic energy $(K.E.)$ and total energy $(T.E.)$ are measured as a function of displacement $x$. Which of the following statements is true
A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\, kg$. The area of cross section a of piston carrying the load is $425\, cm ^{2}$. What is the maximum pressure () would smaller piston have to bear ?
If mass of $He$ atom is $4$ times that of hydrogen atom then mean velocity of $He$ is