Home
Class 12
PHYSICS
The magnitude of resultant of two equal ...

The magnitude of resultant of two equal forces is double the magnitude of either of forces, The angle between them is

A

`30^(@)`

B

`60^(@)`

C

`120^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B, C

`|vec(A).vec(B)|=AB|cos theta|=8`,
`|vec(A)xxvec(B)|=AB|sin theta|=8 sqrt(3)`
`rArr |tan theta|=(8sqrt(3))/8=sqrt(3) rArr theta=60^(@), 120^(@)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector is

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector is

Two vectors of equal magnitude are acting through a point. The magnitude of resultant is equal to the magnitude of either vectoe. Find the angle between the vectors.

Find the magnitude of the resultant of shown forces :-

If magnitude of the resultant of two vectors equal of magnitude, is equal to the magnitude of either of the vectors, what is the angle between them ?

Two vectors of equal magnitude P are inclined at some angle such that the difference in magnitude of resultant and magnitude of either of the vectors is 0.732 times either of the magnitude of vectors. If the angle between them is increased by half of its initial value then find the magnitude of difference of the vectors

Magnitude of resultant of two vectors vecP and vecQ is equal to magnitude of vecP . Find the angle between vecQ and resultant of vec2P and vecQ .

The square of resultant of two equal forces is three times their product. Angle between the force is

Asserion: Magnitude of the resultant of two vectors may be less than the magnitude of either vector. Reason: The resultant of two vectors is obtained by means of law of parallelogram of Vectors.

Two force in the ratio 1:2 act simultaneously on a particle. The resultant of these forces is three times the first force. The angle between them is

ALLEN-BASIC MATHS-Exercise-02
  1. A vector A points vertically upward and B points towards north.The vec...

    Text Solution

    |

  2. Which of the following sets of concurrent force may be in equilibrium?

    Text Solution

    |

  3. The magnitude of resultant of two equal forces is double the magnitude...

    Text Solution

    |

  4. A force (3hati+4hatj) newton acts on a boby and displaces it by (2hati...

    Text Solution

    |

  5. If vector vecP=a hati + a hatj +3hatk and vecQ=a hati -2 hatj -hatk ...

    Text Solution

    |

  6. The vector sum of two forces is perpendicular to their vector differen...

    Text Solution

    |

  7. Vectors vecA, vecB and vecC are such that vecA.vecB=0 and vecA.vecC=0....

    Text Solution

    |

  8. Two physical quantities A and B different dimensions. Which mathematic...

    Text Solution

    |

  9. If the dimensions of a physical quantity are given by ["M"^(a)"L"^(b)"...

    Text Solution

    |

  10. If E , M , J , and G , respectively , denote energy , mass , angular m...

    Text Solution

    |

  11. The dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

    Text Solution

    |

  12. In terms of basic units of mass (M) , length (L) , time (T) and charge...

    Text Solution

    |

  13. The dimension of magnetic field in M, L, T and C (Coulomb) is given as

    Text Solution

    |

  14. The density of material in CGS system of mass is 4g cm^(3) in a system...

    Text Solution

    |

  15. Dimensional formula of DeltaQ, heat supplied to the system is:

    Text Solution

    |

  16. Dimensions of 1(mu(0)epsilon(0)) where symbols have their usual meanin...

    Text Solution

    |

  17. The dimensions of the quantity vecE xx vecB, where vecE represents the...

    Text Solution

    |

  18. Write the dimensional formula of angular momentum. Is it scalar or vec...

    Text Solution

    |

  19. The Bernoulli's equation is given by p+(1)/(2)rhov^(2)+hrhog=k. Where ...

    Text Solution

    |

  20. When a wave travells in a medium, the displacement of a particle locat...

    Text Solution

    |