Home
Class 11
PHYSICS
Consider two configurations of a system ...

Consider two configurations of a system of three particles of masses `m`, `2m` and `3m`. The work done by gravity in changing the configuration of the system from figure (i) to figure (ii) is

A

zero

B

`(6 Gm^(2))/(a){1 + (1)/(sqrt(2))}`

C

`(6 Gm^(2))/(a){1 - (1)/(sqrt(2))}`

D

`(6 Gm^(2))/(a){2 - (1)/(sqrt(2))}`

Text Solution

Verified by Experts

The correct Answer is:
C
`W = - DeltaU = U_(i) - U_(f)`
`= - (Gmm)/(a) [{((1)(2))/(1) +((1) (3))/(1) + ((2)(3))/(sqrt(2))}]`
`-{((1 xx2))/(1) +((1xx3))/(1) + ((2xx3))/(1)}]`
`= (6 GM^(2))/(a)(1- (1)/(sqrt(2)))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY|Exercise Level 2 More Than One Correct|10 Videos

  • GRAVITATION

    DC PANDEY|Exercise Level 2 Subjective|14 Videos

  • GRAVITATION

    DC PANDEY|Exercise Level 1 Subjective|19 Videos

  • GENERAL PHYSICS

    DC PANDEY|Exercise INTEGER_TYPE|2 Videos

  • KINEMATICS

    DC PANDEY|Exercise INTEGER_TYPE|11 Videos

Similar Questions

Explore conceptually related problems

Consider the configuration of a system of four charges each of value (+q). Find the work done by external agent in changing the configuration of the system from (Fig. 3.44 A) to (Fig. 3.4B). a. ,

Find the mass m in the figure for the system to be at rest

Knowledge Check

  • The velocity (in m/s) of centre of mass of the system as shown in the figure is :

    A
    `(2 [1 + (4)/(sqrt2)] hat(i) + 8 [(1)/(sqrt2) + 2 ] hat(j))/(7)`
    B
    `(2 [1 + (4)/(sqrt2)] hat(i) + 8 [(1)/(sqrt2) - 2 ] hat(j))/(7)`
    C
    `(2 [1 + (4)/(sqrt2)] hat(i) - 8 [(1)/(sqrt2) + 2 ] hat(j))/(7)`
    D
    `(8 [(1)/(sqrt2) - 2] hat(i) + 2 [1 + (4)/(sqrt2] hat(j)])/(7)`

  • Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

    A
    `tantheta=1+(2M)/(m)`
    B
    `tantheta=1+(2m)/(M)`
    C
    `cottheta=1+(2M)/(m)`
    D
    `cottheta=1+(2m)/(M)`

  • Two point masses m and M are separated by a distance L. The distance of the centre of mass of the system from m is

    A
    `L(m//M)`
    B
    `L(M//m)`
    C
    `L((M)/(m+M))`
    D
    `L((m)/(m+M))`

    • Similar Questions

    Explore conceptually related problems

    Four particles of masses m, m, 2m and 2m are placed at the four corners of square of side a. Find the centre of mass of the system.

    Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibruim, then

    Three particles of masses 1 kg, 2 kg and 3 kg are at distance 1 m, 2 m and 3 m from the axis of rotation. The moment of intertia of the system is

    Two point masses m and M are separated bya distance L . The distance of the centre of mass of the system from m is

    Three particles, two with mass m and one with mass M, might be arranged in any of Rank the configuration according of the gravitational force on M, least to greatest.

    Home
    Profile