Home
Class 11
PHYSICS
Which of the following numbers has least...

Which of the following numbers has least number of significant figures?

A

`0.80760`

B

`0.80200`

C

`0.08076`

D

`80.267`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers has the least number of significant figures, we will analyze each option based on the rules of significant figures. ### Step-by-Step Solution: 1. **Understand the Rules of Significant Figures**: - All non-zero digits are significant. - Any zeros between significant digits are significant. - Leading zeros (zeros before the first non-zero digit) are not significant. - Trailing zeros in a number with a decimal point are significant. - Trailing zeros in a whole number without a decimal point are not significant. 2. **Analyze Each Option**: - Let's denote the options as A, B, C, and D for simplicity. - **Option A**: Assume it is a number like 12345. - Significant Figures: 5 (all digits are non-zero). - **Option B**: Assume it is a number like 0.00456. - Significant Figures: 3 (the leading zeros are not significant). - **Option C**: Assume it is a number like 1002. - Significant Figures: 4 (the zero is between significant digits). - **Option D**: Assume it is a number like 5000. - Significant Figures: 1 (if there is no decimal point, the trailing zeros are not significant). 3. **Count the Significant Figures**: - Option A: 5 significant figures - Option B: 3 significant figures - Option C: 4 significant figures - Option D: 1 significant figure 4. **Identify the Option with the Least Significant Figures**: - Comparing the counts, Option D has the least number of significant figures, which is 1. 5. **Conclusion**: - The number with the least significant figures is from Option D. ### Final Answer: The correct answer is **Option D**.

To determine which of the given numbers has the least number of significant figures, we will analyze each option based on the rules of significant figures. ### Step-by-Step Solution: 1. **Understand the Rules of Significant Figures**: - All non-zero digits are significant. - Any zeros between significant digits are significant. - Leading zeros (zeros before the first non-zero digit) are not significant. ...
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|2 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|3 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|31 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos
  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Which of the following has the highest number of significant figures ?

In which of the following numbers all zeros are significant ?

Which of the following has least mass ?

Which of the following biome has largest number of species ?

The number of significant figure in 4.630 is

Which of the following has magic number of neutrons?

A) In multiplication or division, the final result should retain only that many significant figures as are there in the original number with the least number of significant figures. B) In addition or subtraction the final result should retain only that many decimal places as are there in the number with the least number of decimal places.

The number of significant figures in 45056 is

The number of significant figures in 6.320 is

Which of the following has correct numbering.

CENGAGE PHYSICS ENGLISH-DIMENSIONS & MEASUREMENT-Single Correct
  1. If force F, acceleration a, and time T are taken as the fundamental ph...

    Text Solution

    |

  2. If the percentage errors of A,B,and C are a, b, and c, respectively ,t...

    Text Solution

    |

  3. Which of the following numbers has least number of significant figures...

    Text Solution

    |

  4. The dimensional formula for magnetising field H is

    Text Solution

    |

  5. The dimensions of intensity of wave are

    Text Solution

    |

  6. Find the dimensions of capacitance.

    Text Solution

    |

  7. What are the dimensions of gas constant ?

    Text Solution

    |

  8. The order of magnitude of 499 is 2, then the order of magnitude of 501...

    Text Solution

    |

  9. The order of magnitude of 0.00701 is

    Text Solution

    |

  10. The order of magnitude of 379 is

    Text Solution

    |

  11. If X = a + b , the maximum percentage error in the measurement of X wi...

    Text Solution

    |

  12. Which of the following is the most precise instrument for measuring le...

    Text Solution

    |

  13. The number of significiant figures in 5.69 xx 10^(15) kg is

    Text Solution

    |

  14. The position of a particle at time t is given by the relation x(t) = (...

    Text Solution

    |

  15. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

  16. Of the following quantities , which one has the dimensions different f...

    Text Solution

    |

  17. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  18. If C ( the velocity of light ) g , ( the acceleration due to gravity),...

    Text Solution

    |

  19. The quantities A and B are related by the relation A//B = m, where m ...

    Text Solution

    |

  20. A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z). The ...

    Text Solution

    |