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Important Questions on Physics and Measurement

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The dimensional equation for the electrical resistance of a conductor is
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A force F is given by, F=at+bt2, where t is time. What are the dimensions of a and b?
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If A=B+CD+E, the dimensions of B and C are M0LT-1 and M0LT0, respectively. Find the dimensions of A, D and E.
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If E= energy, G= gravitational constant, I= impulse and M= mass, the dimension GI2ME2 is same as that of,
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In a vernier callipers, the least count of main scale is 1 mm. 20 division of vernier scale are matching with 19 divisions of main scale. The thickness of the object measured by the vernier callipers will be :

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The vernier of a circular scale is divided into 50 divisions which coincides with 49 main scale divisions. Each main scale division is 0.5°. The least count of the instrument is
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A public park, in the form of a square, has an area of 100±0.2 m2. The side of park is
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An object falls for a time of 0.25 s. The acceleration of free fall is 9.81 m s-2. The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?