## Numerical Problems on Measurement, Physics 11

S No. | Statement of problem |

Problem 1 | A circular pizza into 3 equal parts, one piece of pizza is taken out. Estimate the degree measure of the single piece of pizza and convert the measure into radians. What is the radian measure of the angle of the remaining part of pizza? See Solution |

Problem 2 | The length of a a pendulum is (1.5 ± 0.01) m and the acceleration due to gravity is taken to be (9.8 ± 0.1) ms^{-2}. Calculate the time period of the pendulum with uncertainty in it.See Solution |

Problem 3 | Determine the area of a rectangular sheet with length (l ± Δl) = (1.50 ± 0.02) m and width (w ± Δw) = (0.20 ± 0.01) m. Calculate the area (A ± ΔA).See Solution |

Problem 4 | Calculate the answer up to appropriate numbers of significant digits: (a) 246.24 + 238.278 + 98.3 (b) (1.4 × 2.639) + 117.25 (c) (2.66 × 104) – (1.03 × 103) (d) (112 × 0.456)/(3.2 × 120) (e) 168.99 × 9 (f) 1023 + 8.5489 See Solution |

Problem 5 | Question 5: Calculate the answer up to appropriate numbers of significant digits. See Solution |

Problem 6 | Question 6: Find the dimensions of Planck’s constant ‘h’ from formula E = hf, where E is energy and f is frequency. Gravitational constant ‘G’ from the formula F=G (m_1 m_2)/r^2 where F is force m1 and m2 are masses of the objects and ‘r’ is the distance between the centers of the objects. See Solution |

Problem 7 | Question 7: Show that (a) KE = ½ mv2 (b) PEg = mgh See Solution |

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