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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 p^a d^b E^c 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 m_e is given as

. The dimensions of μ_n 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