Home
Class 12
PHYSICS
For the four of three measured physical ...

For the four of three measured physical quantities as given below. Which of the following options is correct ?
(i) `A_(1)=24.36,B_(1)=0.0724, C_(1)=256.2`
(ii) `A_(2)=24.44B_(2)=16.082,C_(2)=240.2`
(iii) `A_(3)=25.2,B_(3)=19.2812,C_(3)=236.183`
(iv)`A_(4)=25,B_(4)=236.191,C_(4)=19.5`

A

`A_(4)+B_(4)+C_(4)ltA_(1)+B_(1)C_(1)ltA_(3)+B_(3)+C_(3)ltA_(2)+B_(2)+C_(2)`

B

`A_(1)+B_(1)+C_(1)=A_(2)+B_(2)+C_(2)=A_(3)+B_(3)+C_(3)=A_(4)+B_(4)+C_(4)`

C

`A_(4)+B_(4)+C_(4)ltA_(1)+B_(1)+C_(1)=A_(2)+B_(2)+C_(2)=A_(3)+B_(3)+C_(3)`

D

`A_(1)+B_(1)+C_(1)ltA_(3)+B_(3)+C_(3)ltA_(2)+B_(2)+C_(2)ltA_(4)+B_(4)+C_(4)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS SECTION B|30 Videos

Similar Questions

Explore conceptually related problems

How many terms are there in the following product? (a_(1) + a_(2) + a_(3))(b_(1) + b_(2) + b_(3) + b_(4))(c_(1) + c_(2) + c_(3) + c_(4) + c_(5))

In algebra, the determinant is useful value that can be computer from the elements of a square matrix. The determinant is represented as det 'A' or |A| and its value can be evaluated by the expansion of the determinant as given below (A) Expansion of two order determinant : (B) Expansion of 3^(rd) order determinant (i) With respect to first fow : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=a_(1)|{:(b_(1),c_(2)),(b_(x3,c_(3)):}|+b_(1)|{:(a_(2),c_(2)),(a_(2),c_(2)):}|+c_(1)|{:(b_(x),c_(2)),(b_(2),c_(2)):}| =a_(1)(b_(2)c_(3)-b_(3)c_(2))-b_(1)(a_(2)c_(3)-a_(3)c_(2))+c_(1)(a_(2)b_(3)-b_(2)a_(3)) (ii) With respect to second column : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=-b_(1)|{:(a_(2),c_(1)),(a_(3),c_(3)):}|+b_(2)|{:(a_(1),c_(1)),(a_(3),c_(3)):}|-b_(3)|{:(a_(1),c_(1)),(a_(2),c_(2)):}| Similarly a determinant can be expanded with respect to any row or column The value of for which determinant |{:(2,3,-1),(-1,-2,k),(1,-4,1):}| vanishes, is

In algebra, the determinant is useful value that can be computer from the elements of a square matrix. The determinant is represented as det 'A' or |A| and its value can be evaluated by the expansion of the determinant as given below (A) Expansion of two order determinant : (B) Expansion of 3^(rd) order determinant (i) With respect to first fow : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=a_(1)|{:(b_(1),c_(2)),(b_(x3,c_(3)):}|+b_(1)|{:(a_(2),c_(2)),(a_(2),c_(2)):}|+c_(1)|{:(b_(x),c_(2)),(b_(2),c_(2)):}| =a_(1)(b_(2)c_(3)-b_(3)c_(2))-b_(1)(a_(2)c_(3)-a_(3)c_(2))+c_(1)(a_(2)b_(3)-b_(2)a_(3)) (ii) With respect to second column : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=-b_(1)|{:(a_(2),c_(1)),(a_(3),c_(3)):}|+b_(2)|{:(a_(1),c_(1)),(a_(3),c_(3)):}|-b_(3)|{:(a_(1),c_(1)),(a_(2),c_(2)):}| Similarly a determinant can be expanded with respect to any row or column The value of the determinant |{:(2,3,4),(6,5,7),(1,-3,2):}|is:

In algebra, the determinant is useful value that can be computer from the elements of a square matrix. The determinant is represented as det 'A' or |A| and its value can be evaluated by the expansion of the determinant as given below (A) Expansion of two order determinant : (B) Expansion of 3^(rd) order determinant (i) With respect to first fow : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=a_(1)|{:(b_(1),c_(2)),(b_(x3,c_(3)):}|+b_(1)|{:(a_(2),c_(2)),(a_(2),c_(2)):}|+c_(1)|{:(b_(x),c_(2)),(b_(2),c_(2)):}| =a_(1)(b_(2)c_(3)-b_(3)c_(2))-b_(1)(a_(2)c_(3)-a_(3)c_(2))+c_(1)(a_(2)b_(3)-b_(2)a_(3)) (ii) With respect to second column : |A|=|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=-b_(1)|{:(a_(2),c_(1)),(a_(3),c_(3)):}|+b_(2)|{:(a_(1),c_(1)),(a_(3),c_(3)):}|-b_(3)|{:(a_(1),c_(1)),(a_(2),c_(2)):}| Similarly a determinant can be expanded with respect to any row or column. The vaue of the determinant |{:(5,1),(3,2):}|is:

If G_(1),G_(2) are centroids of triangles A_(1),B_(1),C_(1) and A_(2),B_(2),C_(2) respectively, then bar(A_(1)A_(2))+bar(B_(1)B_(2))+bar(C_(1)C_(2)) =

Let A = {a_(1), b_(1), c_(1)} and B = {a_(2), b_(2)} (i) A xx B (ii) B xx B

The determinant |(b_(1)+c_(1),c_(1)+a_(1),a_(1)+b_(1)),(b_(2)+c_(2),c_(2)+a_(2),a_(2)+b_(2)),(b_(3)+c_(3),c_(3)+a_(3),a_(3)+b_(3))|

If A_(1)B_(1)C_(1),A_(2)B_(2)C_(2) and A_(3)B_(3)C_(3) are three digit numbers,each of which is divisible by k, then Delta=det[[A_(1),B_(1),C_(1)A_(2),C_(2)A_(3),B_(3),C_(3)]] is

JEE MAINS PREVIOUS YEAR-JEE MAIN-All Questions
  1. The current I in the network is :

    Text Solution

    |

  2. Find centre of mass of given rod of linear mass density lambda=(a+b(x/...

    Text Solution

    |

  3. For the four of three measured physical quantities as given below. Whi...

    Text Solution

    |

  4. A particle is projected from the ground with speed u at angle 60^@ fro...

    Text Solution

    |

  5. Two identical capacitor A and B, charged to the same potential 5V are ...

    Text Solution

    |

  6. An AC source is connected to the LC series circuit with V = 10 sin (31...

    Text Solution

    |

  7. A string of mass per unit length mu = 6 × 10^(-3) kg/m is fixed at bot...

    Text Solution

    |

  8. Tow gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (a...

    Text Solution

    |

  9. Planet A has massa M and radius R. Planet B has half the mass and half...

    Text Solution

    |

  10. A point source of light is placed at a distance hbelow the surface of ...

    Text Solution

    |

  11. A uniformaly thick wheel with moment of inertia I and radius R is free...

    Text Solution

    |

  12. A particle starts from the origin at t=0 with an initial velocity of 3...

    Text Solution

    |

  13. An electron gun is placed inside a long solenoid of radius R on its ex...

    Text Solution

    |

  14. H-like atom with ionization energy of 9R. Find the wavelength of light...

    Text Solution

    |

  15. A plane electromagnetic wave is propagagting along the direction (hati...

    Text Solution

    |

  16. An electron of mass m and charge e initially at rest gets accelerated ...

    Text Solution

    |

  17. A loop of radius R and mass m is placed in a uniform magnetic field B ...

    Text Solution

    |

  18. A mass m attached to spring of natural length l0 and spring constant k...

    Text Solution

    |

  19. A sphere of density rho is half submerged in a liquid of density sigma...

    Text Solution

    |

  20. In YDSE pattern with light of wavelength lambda1 = 500nm, 15 fringes a...

    Text Solution

    |