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qUESTIONS

Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to [2019]

A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading : 09 divisions Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data [2012]

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of 0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is [2008]

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree (= 0.5°) then the least count of the instrument is [2009]

A screw gauge gives the following reading when used to measure the diameter of a wire. Main scale reading: 0 mm, Circular scale reading: 52 divisions. Given that 1 mm on main scale corresponds to 100 divisions of the circular scale. The diameter of wire from the above data is [2011]

The resistance R= V/ i where V = 100 ± 5 volts and i = 10 ± 0.2 amperes. What is the total error in R [2012]

Dimensions of 1/ μ0ε0 where symbols have their usual meaning are [2003]

The physical quantities not having same dimensions are [2003]

Which of the two have same dimensions? [2002]

Out of the following pairs, which one does not have identical dimensions [2005]

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