Home
Class 11
PHYSICS
A physical quantity is measured as Q = (...

A physical quantity is measured as `Q = (2.1 ± 0.5)` units. Calculate the percentage error in `(1) Q^(2) (2) 2Q`.

Text Solution

AI Generated Solution

To solve the problem of calculating the percentage error in \( Q^2 \) and \( 2Q \) given the measurement \( Q = (2.1 \pm 0.5) \) units, we will follow these steps: ### Step 1: Understand the given values We have: - Measured value of \( Q = 2.1 \) - Absolute error in \( Q \) (denoted as \( \Delta Q \)) = 0.5 ### Step 2: Calculate the percentage error in \( Q^2 \) ...
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS AND MEASUREMENT

    CBSE COMPLEMENTARY MATERIAL|Exercise M.C.Q PHYSICAL WORLD & MEASUREMENT|20 Videos
  • DIMENSIONS AND MEASUREMENT

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER QUESTIONS|7 Videos
  • ANNUAL EXAM.-2018-19

    CBSE COMPLEMENTARY MATERIAL|Exercise Questions|34 Videos
  • GRAVITATION

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS|19 Videos

Similar Questions

Explore conceptually related problems

A physical quantity x is calculated from x = ab^(2)//sqrt(c ) . Calculate the percentage error in measuring x when the percentage errors in measuring a , b , and c are 4 , 2 , and 3%, respectively .

A physical quantity x is calculated from the relation x = a^(3)b^(2)//sqrt(cd) . Calculate percentage error in x, if a, b, c and d are measured respectively with an error of 1 %, 3 %, 4% and 2%.

A physical quantity Y is expressed as Y= (p^2)/(r )((q)/(sqrt(s)))^3 If the percentage error in the measurement of p,q,r and s are 4%, 2%, 1% and 3% respectively, caluclate the percentage error in Y.

Let x={:[(a^(2)b^(2))/(c)]:} be the physical quantity. If the percentage error in the measurement of physical quantities a,b, and c is 2,3 and 4 per cent respectively, then percentage error in the measurement of x is

If ratio of Change in quantity (DeltaQ) to original quantity Q is 0.5 and elasticity of demand is (-) 1.25, calculate the percentage change in price.

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.

If ratio of change in quantity (AQ) to original quantity (Q) is 0.4 and elasticity of supply is 1.25, calculate the percentage change in price.

A physical quantity y is given by y=(P^2Q^(3//2))/(R^4S^(1//2)) The percentage error in A,B , C and D are 1%,2%, 4% and 2% respectively. Find the percentage error in y.

CBSE COMPLEMENTARY MATERIAL-DIMENSIONS AND MEASUREMENT -NUMERICALS
  1. How make light years are there in one metre?

    Text Solution

    |

  2. The sides of a rectangle are (10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm. C...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 5.74 g of a substance occupies 1.2 cm^3. Express its density keeping s...

    Text Solution

    |

  6. Time taken by a body in (20 +-0.2) second in undergoing a displacement...

    Text Solution

    |

  7. The percentage error in the measurement of mass and speed of a body ar...

    Text Solution

    |

  8. The length of a rod as measured in an experiment is found to be 2.48 m...

    Text Solution

    |

  9. A physical quantity is measured as Q = (2.1 ± 0.5) units. Calculate th...

    Text Solution

    |

  10. When planet Jupiter is at a distance of 824.7 million km from earth, i...

    Text Solution

    |

  11. A laser light beamed at the moon the takes 2.56 s to return after...

    Text Solution

    |

  12. Convert 3ms^(-2)" to km "h^(-2)

    Text Solution

    |

  13. fill in the blanks by suitable conversion of units : (i) 5ms^(-2) = ...

    Text Solution

    |

  14. A calorie is a unit of heat or energy and it equals about 4.2 J, where...

    Text Solution

    |

  15. The escape vleocity v of a body depends upo (i) the acceleration due t...

    Text Solution

    |

  16. The frequency of vibration of a string depends of on, (i) tension in t...

    Text Solution

    |

  17. One mole of an ideal gas at NTP occupies 22.4 liters (molar volume). W...

    Text Solution

    |

  18. Obtain an expression for the centripetal force F acting on a particle...

    Text Solution

    |

  19. The error in the measurement of radius of a shpere if 2%. What would b...

    Text Solution

    |

  20. The error in the measurement of radius of a shpere if 2%. What would b...

    Text Solution

    |