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Sail through JEE 2020: Unit, Dimension and Measurement
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Question 1
A gas bubble from an explosion under water, oscillates with a period T proportional to pa db Ec where p is the static pressure, d is the density of water and E is the total energy of explosion. Find the values of a, b and c.
Question 2
A cube has a side of length 1.2 × 10–2m. Calculate its volume.
Question 3
The momentum of an electron in an orbit is h/λ, where h is a constant and λ is wavelength associated with it. The nuclear magneton of electron of charge e and mass me is given as . The dimensions of μn is
Question 4
Intensity observed in an interference pattern is . At θ = 30° intensity I = 5 ± 0.0020 W/m2. Find out the percentage error in angle, if I0 = 20 W/m2.
Question 5
The radius of a sphere is measured to be (2.1 ± 0.05) cm. Calculate the surface area (in cm2) with error limits.
Question 6
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 5 μm diameter of a wire is :
Question 7
If speed (V), acceleration A. and force (F) are considered as fundamental units, the dimension of Young's modulus will be:
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Jun 17JEE & BITSAT