Home
Class 12
PHYSICS
In the cube of side ‘l’ shown in the fig...

In the cube of side ‘l’ shown in the figure, the vector from the central point of face ABCD to the central point of the face ADGF will be:

A

`1/2 (hatj+ hatk)`

B

`1/2 (hatk - hat j)`

C

`1/2 (hati - hatj)`

D

`1/2 (hati - hat k)`

Text Solution

Verified by Experts

The correct Answer is:
B
`P = (1/2 , 1 , 1/2)`
` Q = (1/2 , 1/2 , 1)`
`bar(PQ) = (1/2 - 1/2) hati + (1/2 - 1) hatj + (1 - 1/2 ) hat k = (-1)/(2) hatj + 1/2 hatk = 1/2 (hatk - hatj)`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 18

    VMC MODULES ENGLISH|Exercise PHYSICS - SECTION 2|5 Videos

  • JEE MAIN REVISION TEST - 22 JEE - 2020

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

In the cube of side 'a' shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be :

At each point on the surface of the cube shown in the figure, the electric field is parllel to the z- axis. The length of each edge of the cube is 3.0 m on the bottom face it is vecE=34hatk N//C and on the bottom face it is vecE=20hatk N//C . Find the net flux contained within the cube.

Two infinite line charges, each having a uniform density lambda . Pass through the midpoints of two pairs of opposite faces of a cube of edge L as shown in figure. The modulus of the total electric flux due to both the line charges through the face is ABCD is lambda L//(k epsilon_(0)) find the value of k ?

Consider the circular loop having current I nad with central point O. the magnetic field at the central point O is

A wires PQRS carrying a current I runs along three edges of a cube of side l as shown in figure. There exists a uniform magnetic field of magnitude B along one of the sides of cube. The magnitude of the force acting on the wire is

In the set up shown in figure, the two slits S_1 and S_2 are not equidistant from the slit S. The central fringe at O is then

A transparent cube of side d, made of a material of refractive index mu_(2) , is immersed in a liquid of refractive index mu_(1)(mu_(1)ltmu_(2)) . . A ray is incident on the face AV at an angle theta (shown in the figure). Total internal refraction takes place at point E on the face BC. Then must satisfy:

A transparent cube of side d, made of a material of refractive index mu_(2) , is immersed in a liquid of refractive index mu_(1)(mu_(1)ltmu_(2)) . . A ray is incident on the face AV at an angle theta (shown in the figure). Total internal refraction takes place at point E on the face BC. Then must satisfy:

Consider a uniformly charged hemispherical shell shown in figure. Indicate the directions (not magnitude) of the electric field at the central point P_1 and an off-center point P_2 on the drum-head of the shell.

Point charges +q and -q are kept alternately at the corners of a cube of side 'a' as shown in the figure. Write an expression for the work done in removing all the charges far away from each other.

VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 19-PHYSICS
  1. A block of mass m is kept on a platform which starts from rest with co...

    Text Solution

    |

  2. A charge Q is distributed over three concentric spherical shells of ra...

    Text Solution

    |

  3. A heat source at T = 10^(3) K is connected to another heat reservoir ...

    Text Solution

    |

  4. A piece of wood of mass 0.03 kg is dropped from the top of a 100 m hei...

    Text Solution

    |

  5. To get output '1' at R, for the given logic gate circuit the input val...

    Text Solution

    |

  6. In a Young's double slit experiment with slit separation 0.1 mm, one o...

    Text Solution

    |

  7. Three Carnot engines operate in series between a heat source at a temp...

    Text Solution

    |

  8. A TV transmission tower has a height of 140 m and the height of the re...

    Text Solution

    |

  9. In the cube of side ‘l’ shown in the figure, the vector from the centr...

    Text Solution

    |

  10. Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respecti...

    Text Solution

    |

  11. A homogenous solid cylindrical roller of radius R and mass M is pulled...

    Text Solution

    |

  12. A plano convex lens of refractive index mu(1) and focal length f(1) is...

    Text Solution

    |

  13. If the magnetic field of a plane electromagnetic wave is given by (The...

    Text Solution

    |

  14. A potentiometer wire AB having length L and resistance 12 r is joined ...

    Text Solution

    |

  15. To mop-clean a floor, a cleaning machine presses a circular mop of rad...

    Text Solution

    |

  16. The density of a material in SI units is 128 kg m^(-3). In certain uni...

    Text Solution

    |

  17. A string of length 1 m and mass 5 g is fixed at both ends. The tension...

    Text Solution

    |

  18. A uniform metallic wire has a resistance of 18 Omega and is bent into ...

    Text Solution

    |

  19. Water flows into a large tank with flat bottom at the rate of 10^(-4) ...

    Text Solution

    |

  20. A parallel plate capacitor is of area 6 cm^(2) and a separation 3 mm. ...

    Text Solution

    |