Home
Class 11
PHYSICS
A physical quantity is represented by X=...

A physical quantity is represented by `X=M^(a)L^(b)T^(-c)`.If the percentage error in the measurement of M,L and T are `alpha%, beta%` and `gamma%` to respectively, what is the total percentage error in X?

Text Solution

AI Generated Solution

To solve the problem of finding the total percentage error in the physical quantity \( X = M^a L^b T^{-c} \), we will follow these steps: ### Step 1: Understand the given information We have a physical quantity \( X \) expressed in terms of three base quantities \( M \), \( L \), and \( T \) with their respective powers \( a \), \( b \), and \( -c \). We are also given the percentage errors in the measurements of these quantities: - Percentage error in \( M \): \( \alpha\% \) - Percentage error in \( L \): \( \beta\% \) - Percentage error in \( T \): \( \gamma\% \) ...
Promotional Banner

Topper's Solved these Questions

  • UNITS

    ICSE|Exercise MODULE 1 (CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS)|5 Videos
  • UNITS

    ICSE|Exercise MODULE 1 (LONG ANSWER QUESTIONS)|3 Videos
  • THERMAL RADIATION

    ICSE|Exercise SELECTED PROBLEMS (from WIEN.S DISPLACEMENT LAW)|14 Videos
  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise UNSOLVED PROBLEMS |79 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 and gamma respectively. Then maximum percentage error in the quantity X is

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 x is calculated from the relation x = ( a^(2) b^(3))/(c sqrt( d)) . If the percentage error in a, b , c , and d are 2% , 1% , 3%, and 4% , respectively , what is the percentage error in x ?

If x= (a)-(b) , then the maximum percentage error in the measurement of x will be

If X = a + b , 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

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 physcial quantity X is related to four measurable quantites a, b, c and d as follows : 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%, 3% and 4%, respectively. What is the percentage error in quantity X ? if the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result ?

A physical quantity X is related to three observable a,b and c as X=(b^(2)sqrt(a))/c . The errors of measuremnts in a,b and c are 4%, 3% and 2% respectively. What is the percentage error in the quality X?

ICSE-UNITS-MODULE 3 (SELECTED PROBLEMS)
  1. A physical quantity is represented by X=M^(a)L^(b)T^(-c).If the percen...

    Text Solution

    |

  2. Relative density of a liquid is 0.8. What its density in (i) C.G.S. sy...

    Text Solution

    |

  3. Convert (i) 1Nm^(2)kg^(-2) into dyne cm^(2)g^(-2), (ii) 60Kmhr^(-1) in...

    Text Solution

    |

  4. If year is taken as the unit of time and velocity of light as the unit...

    Text Solution

    |

  5. A new unit of length is chosen such that the speed of sound at room te...

    Text Solution

    |

  6. Find the number of significant figures in the following (i) 1234 N (...

    Text Solution

    |

  7. What is the distance in km of quasar from whigh light takes 3 billion...

    Text Solution

    |

  8. The mass of sunis 2.0xx10^(30)kg and its radius is 7.0xx10^(8)m. Find...

    Text Solution

    |

  9. A new unit of length is chosen such that the speed of light is vacuum ...

    Text Solution

    |

  10. The length, breadth the thickness of rectangular sheet of wood are 3.2...

    Text Solution

    |

  11. The mass of a box measured by grocer's balance is 4.2 kg. Two addition...

    Text Solution

    |

  12. The mass of an electron is 9.11xx10^(-31) kg and the velocity of light...

    Text Solution

    |

  13. Each side of a cube is measured to be 6.230 m. What is the total surfa...

    Text Solution

    |

  14. The mass of a box measured by a grocer's balacne is 2.3 kg. Two gold p...

    Text Solution

    |

  15. Round off to three significant figures (i) 9.745 g (ii) 9.835 cm (iii)...

    Text Solution

    |

  16. Solve the following with regard to the correct significant figures (i)...

    Text Solution

    |

  17. The diameter of a sphere is 1.23 m. Find its volume with due regard to...

    Text Solution

    |

  18. A simple pendulum makes 100 oscillation in 25 s. What is the frequency...

    Text Solution

    |

  19. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  20. Add 38.8+-0.4 and 29.7+-0.3.

    Text Solution

    |

  21. Two forces P and Q are acting on the same body. If P=(25+-0.2)N and Q=...

    Text Solution

    |