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qUESTIONS

The dimensions of B^2/2μο where B is magnetic field and µo is the magnetic permeability of vacuum, is. [2020]

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0cm. The percentage error in the determination of g is close to [2019]

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5µm diameter of wire is [2019]

The force of interaction between two atoms is given by F =αβexp (-x^2/αkt); where x is the distance, k is the Boltzmann constant and T is temperature and α and β are two constants. The dimension of β is :

The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures [2019]

The density of a material in Sl units is 128 kg m³. In certain -3 units in which the unit of length is 25cm and the unit of mass is 50g, the numerical value of density of the material is [2019]

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]

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