Home
Class 11
PHYSICS
A physical quantity is given by X=M^(a)L...

A physical quantity is given by `X=M^(a)L^(b)T^(c)`. The percentage error in measurement of `M,L` and `T` are `alpha, beta` and `gamma` respectively. Then maximum percentage error in the quantity `X` is

A

`a alpha+b beta+c gamma`

B

`a alpha+b beta-c gamma`

C

`a/(alpha)+b/(beta)+c/(gamma)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS |Exercise ET Self Evaluation Test|23 Videos

  • VECTORS

    ERRORLESS |Exercise Exercise|223 Videos

Similar Questions

Explore conceptually related problems

A physical quantity is given by X=[M^(a)L^(b)T^(c)] . The percentage error in measurement of M,L and T are alpha, beta, gamma respectively. Then the maximum % error in the quantity X is

A physical quanity is represented by X=[M^(a)L^(b)T^(-c)] . If percentage error in the measurement of M, L and T are alpha%,beta%andgamma% respectively, then maximum percentage error in measurement of X should be (Given that alpha,betaandgamma are very small)

A Physical quantity P is given by P= (A^2sqrtB)/C , and the percentage errors in the measurements of A, B and C are 1% , 2 % and 4% respectively. Find the percentage error in P.

A physical quantity X is given by X=(2k^(3)l^(2))/(msqrt(n)) The percentage error in the measurement of K,l,m and n are 1%,2%, 3% and 4% respectively. The value of X is uncertain by

A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z) . The maximum percantage errors in the measurement of M , L , and T , respectively , are a% , b% and c% . The maximum percentage error in the measurement of X will be

A physical quantity A is dependent on other four physical quantities p,q,r and s as given by A=(sqrt(pq))/(r^(2)s^(3)) . The percentage error of measurement in p,q,r and s are 1%,3%,0.5% and 0.33% respectively, then the maximum percentage error in A is

The percentage error in measuring M, L and T are 1%, 1.5 % and 3 % respectively. Then the percentage error in measuring the physical quantity with dimensions ML^(-1)T^(-1) is :

In the measurement of a physical quantity x =(A sqrt(B))/(C^(2)) .The percentage error in measurement of the quantities A,B,C are 1%,2% and 2% respectively.Then the maximum possible percentage error in x is % .

A physical quantitiy X is related to four measurable quantities, a,b,c and d as give X=a^(2)b^(3)c^(5//2)d^(-2) . The percentage error in the measurement of a,b,c and d are 1%,2%,2% and 4% respectively. What is the percentage error in quantitiy X?

A physical quantity Q is found ot depend on observables x, y and z obeying relation Q=(x^(3)y^(2))/(z). The percentage error in the measurments of x, y and z are 1%,2%and 4% respectively. What is percentage error in the quantity Q?

ERRORLESS -UNITS, DIMENSION & MEASUREMENTS-All Questions
  1. The number of significant figures in all the given numbers 25.12, 2009...

    Text Solution

    |

  2. If the length of rod A is 3.25 pm 0.01 cm and that of B is 4.19 pm 0.0...

    Text Solution

    |

  3. A physical quantity is given by X=M^(a)L^(b)T^(c). The percentage erro...

    Text Solution

    |

  4. A physical quantity A is related to four observable a,b,c and d as fol...

    Text Solution

    |

  5. If the acceleration due to gravity is 10ms^(-2) and unit of length and...

    Text Solution

    |

  6. If L,C and R represent inductance, capacitance and resistance respecti...

    Text Solution

    |

  7. Number of particles is given by n=-D(n(2)-n(1))/(x(2)-x(1)) crossing a...

    Text Solution

    |

  8. With the usual notations the following equation S(t)=u+1/2a(2t-1) is

    Text Solution

    |

  9. If the dimenisons of length are expressed as G^(x)c^(y)h^(z), where G,...

    Text Solution

    |

  10. A highly rigid cubical block A of small mass M and side L is fixed rig...

    Text Solution

    |

  11. The pairs of physical quantities that have the same dimensions is (are...

    Text Solution

    |

  12. The speed of light ( c), gravitational constant (G) and plank's consta...

    Text Solution

    |

  13. If the constant of gravitation (G) , Planck's constant (h) and the vel...

    Text Solution

    |

  14. X=3YZ^(2) find dimension of Y in (MKSA) system, if X and Z are the dim...

    Text Solution

    |

  15. In the relation P = (alpha)/(beta) e^(-alphaz//k theta),P is preesure,...

    Text Solution

    |

  16. The frequency of vibration of string is given by v=p/(2l)[F/m]^(1//2)....

    Text Solution

    |

  17. A wire has a mass 0.3+-0.003g, radius 0.5+-0.005mm and length 6+-0.06c...

    Text Solution

    |

  18. If 97.52 is divided by 2.54, the correct result in terms of significan...

    Text Solution

    |

  19. Assertion : 'Light year' and 'Wavelength' both measure distance. Rea...

    Text Solution

    |

  20. Assertion : Light year and year, both measure time. Reason : Because...

    Text Solution

    |