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The sum of the numbers \(436.32,227.2,\) and \(0.301\) in the appropriate significant figures is:

1. | \( 663.821 \) | 2. | \( 664 \) |

3. | \( 663.8 \) | 4. | \(663.82\) |

Subtopic: Significant Figures |

67%

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The mass and volume of a body are \(4.237~\text{grams}\) and \(2.5~\text{cm}^3\), respectively. The density of the material of the body in correct significant figures will be:

1. \(1.6048~\text{grams cm}^{-3}\)

2. \(1.69~\text{grams cm}^{-3}\)

3. \(1.7~\text{grams cm}^{-3}\)

4. \(1.695~\text{grams cm}^{-3}\)

Subtopic: Significant Figures |

85%

From NCERT

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The numbers \(2.745\) and \(2.735\) on rounding off to \(3\) significant figures will give respectively,

1. | \(2.75\) and \(2.74\) | 2. | \(2.74\) and \(2.73\) |

3. | \(2.75\) and \(2.73\) | 4. | \(2.74\) and \(2.74\) |

Subtopic: Significant Figures |

69%

From NCERT

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The length and breadth of a rectangular sheet are \(16.2\) cm and \(10.1\) cm, respectively. The area of the sheet in appropriate significant figures and error would be, respectively,

1. | \(164\pm3~\text{cm}^2\) | 2. | \(163.62\pm2.6~\text{cm}^2\) |

3. | \(163.6\pm2.6~\text{cm}^2\) | 4. | \(163.62\pm3~\text{cm}^2\) |

Subtopic: Errors | Significant Figures |

62%

From NCERT

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Which of the following pairs of physical quantities does not have the same dimensional formula?

1. | work and torque |

2. | angular momentum and Planck's constant |

3. | tension and surface tension |

4. | impulse and linear momentum |

Subtopic: Dimensions |

74%

From NCERT

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The measure of two quantities along with the precision of respective measuring instrument is $\mathrm{A}=2.5{\mathrm{ms}}^{-1}\pm 0.5{\mathrm{ms}}^{-1},\mathrm{B}=0.10\mathrm{s}\pm 0.01\mathrm{s}$. The value of AB will be:

1. (0.25 $\pm $ 0.08) m

2. (0.25 $\pm $ 0.5) m

3. (0.25 $\pm $ 0.05) m

4. (0.25 $\pm $ 0.135) m

Subtopic: Errors |

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You measure two quantities as A = 1.0 m $\pm $ 0.2 m, B = 2.0 m $\pm $ 0.2 m. We should report the correct value for $\sqrt{\mathrm{AB}}$ as

1. 1.4 m $\pm $ 0.4 m

2. 1.41 m $\pm $ 0.15 m

3. 1.4 m $\pm $ 0.3 m

4. 1.4 m $\pm $ 0.2 m

Subtopic: Errors |

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Which of the following measurement is most precise?

1. \(5.00\) mm

2. \(5.00\) cm

3. \(5.00\) m

4. \(5.00\) km

Subtopic: Errors |

83%

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The mean length of an object is \(5~\text{cm}\). Which of the following measurements is the most accurate?

1. | \(4.9~\text{cm}\) | 2. | \(4.805~\text{cm}\) |

3. | \(5.25~\text{cm}\) | 4. | \(5.4~\text{cm}\) |

Subtopic: Errors |

80%

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Young's modulus of steel is \(1.9 \times 10^{11} ~\text{N/m}^2\). When expressed in CGS units of \(\text{dyne/cm}^2\), it will be equal to: \((1 \mathrm{~N}=10^5 \text { dyne, } 1~ \text{m}^2=10^4 ~\text{cm}^2)\)

1. \( 1.9 \times 10^{10} \)

2. \( 1.9 \times 10^{11} \)

3. \( 1.9 \times 10^{12} \)

4. \( 1.9 \times 10^9\)

Subtopic: Dimensions |

73%

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