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An experiment measures quantities a, b and c, and quantity X is calculated from X=ab2c3. If the percentage errors in a, b and c are ±1%,±3% and ±2%, respectively, then the percentage error in X will be

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Important Questions on Physical World and Measurement

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Order of magnitude of a physical quantity is the
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The length and width of a rectangular room are measured to be 3.95±0.05 m and 3.05±0.05 m , respectively, the area of the floor is
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In an experiment on a simple pendulum to determine the acceleration due to gravity, the student measures the length of the thread as 63.2 cm and diameter of the pendulum bob as 2.256 cm. The student should take the length of the pendulum to be
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If one takes into account the finite mass of the proton, the correction to the binding energy of the hydrogen atom is approximately (mass of proton =1.60×10-27kg, mass of an  electron =9.10×10-31kg )
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The distance s travelled by a particle in time t is s=ut-12gt2. The initial velocity of the particle was measured to be u=1.11±0.01 m s-1 and the time interval of the experiment was t=1.01±0.1 s. The acceleration was taken to be g=9.8±0.1 m s-2. With these measurements, the student estimates the total distance travelled. How should the student report the result?
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The dimensions of a rectangular block measured with a vernier calipers having least count of 0.1 mm is 5 mm × 10 mm × 5 mm. The maximum percentage error in measurement of volume of the block is
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An experiment measures quantities x, y, z and then t is calculated from the data as t=xy2z3. If percentage errors in x, y and z are respectively 1%, 3%, 2%, then percentage error in t is:
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The edge of a cube is a=1.2×10-2 m. Then its volume will be recorded as