Home
Class 12
PHYSICS
A thin conducting rod MN of mass 20 gm, ...

A thin conducting rod MN of mass `20 gm`, length `25 cm` and resistance `10 Omega` is held on frictionless long perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field `B_0 = 4 T ` directed perpendicular to the plane of the rod-rail arrangement. The rod is released from rest at time ? = 0 and it moves down along the rails. Assume air drag is negligible. Match each quantity in List-I with an appropriate value from List-II, and choose the correct option.
[Given: The acceleration due to gravity `g = 10 m s^(−2)` and `e^(−1) = 0.4]`

A

`P rarr5,Q rarr 2, R rarr 3, S rarr 1`

B

`P rarr 3,Q rarr 1, R rarr 4, S rarr 5`

C

`P rarr 4,Q rarr 3, R rarr 1, S rarr 2`

D

`P rarr 3,Q rarr 4, R rarr 2, S rarr 5`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE (ADVANCE) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 2|6 Videos
  • JEE (ADVANCE) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 3|6 Videos
  • JEE ADVANCED

    JEE ADVANCED PREVIOUS YEAR|Exercise PHYSICS SECTION - IV Matrix Match Type|2 Videos

Similar Questions

Explore conceptually related problems

A conducting rod AB moves parallel to x-axis in a uniform magnetic field pointing perpendicular and into the plane of paper. The end A of the rod

A copper rod of mass m slides under gravity on two smooth parallel rails l distance apart and set an angle theta to be horizontal. At the bottom, the rails are joined by a resistance R in figure. There is a uniform magnetic field B prependicular to the plane of the rails. The terminal velocity of rod is

Knowledge Check

  • A conducting wire xy of lentgh l and mass m is sliding without friction on vertical conduction rails ab and cd as shown in figure. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with a constant velocity of

    A
    `(mg R)/(Bl)`
    B
    `(mg R)/(B l^(2))`
    C
    `(mg R)/(B^(2)l^(2))`
    D
    `(mg R)/(B^(2) l)`
  • A copper wire ab of length l, resistance r and mass m start sliding at t=0 down a smooth, vertical, thick pair of connected conducting rails as shown in figure. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the rails which options are correct .

    A
    The magnitude and direction of the induced current in the wire when speed of the wire v is `(vBl)/( r)`, a to b
    B
    The downward acceleration of the wire at this instant `g-(B_(2)l^(2))/(mr)v`
    C
    The velocity of the wire as a function of time `v_(m)(1-e^(-"gt"//v_(m))),("where" v_(m)=(mgr)/(B^(2)l^(2)))`
    D
    The displacement of the wire as a function of time `v_(m)t-(v_(m)^(2))/(g)(1-e^(-"gt"//v_(m))),("where" v_(m)=(mgr)/(B^(2)l^(2)))`
  • A copper wire ab of length l , resistance r and mass m starts sliding at t=0 down a smooth, vertical, thick pair of connected condcuting rails as shown in figure.A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the rails which options are correct.

    A
    The magnitude and direction of the induced current in the wire when speed of the wire `v` is `(vBl)/r`, `a` to b
    B
    The downward acceleration of the wire at this instant `g-(B^(2)l^(2))/(mr)v`.
    C
    The velocity of the wire as a function of time `v_(m)(1-e^(-"gt"//v_(m)))`(where `v_(m)=(mgr)/(B^(2)l^(2)))`
    D
    The displacement of the wire as a function of time `v_(m)t-v_(m)^(2)/"g" (1-e^(-"gt"//v_(m)))`(where `v_(m)=(mgr)/(B^(2)l^(2)))`
  • Similar Questions

    Explore conceptually related problems

    A copper rod of mass m slides under gravity on two smooth parallel rails l distance apart set at an angle theta to the horizontal. At the bottom, the rails are joined by a resistance R . There is a uniform magnetic field perpendicular to the plane of the rails. the terminal valocity of the rod is

    Figure shows a wire sliding on two parallel, conducting rails placed at a separation L . A magnetic field B exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity V ?

    A conducting rod of mass m and length l is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance R across the rails. In the entire space around, there is a uniform magnetic field B normal to the plane of the rod and rails. The rod is given an impulsive velocity v_(0) - Finally, the initial energy (1)/(2) mv_(0)^(2)

    A conducting bar mass m and length l moves on two frictionless parallel conducting rails in the presence of a uniform magnetic field B_(0) directed into the paper. The bar is given an initial velocity v_(0) to the right and is released at t = 0 . The velocity of the bar as a function of time is given by

    A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The verticle rails are connected to each other with a resistance R between a and b . A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of