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Numerical Problems on Measurement, Physics 11

See here solved numerical problems on Measurement (new course) included in the Physics course for First Year students.

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?
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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.
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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).
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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

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Problem 5 Question 5: Calculate the answer up to appropriate numbers of significant digits.
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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.
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Problem 7 Question 7: Show that (a) KE = ½ mv2 (b) PEg = mgh
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