Units & Dimensions - JEE Advanced PYQ | Last 5 years | PYQ Khazana #jeeadvancedPYQ

The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of
the base and the height are both measured to be 20.0 cm. The maximum percentage error in the
determination of the volume is ___

A dimensionless quantity is constructed in terms of electronic charge e, permittivity of free space
Eo, Planck's constant h, and speed of light c. If the dimensionless quantity is written n is a non-zero integer, then (α, ß, γ, δ) is given by

Young's modulus of elasticity Y is expressed in terms of three derived quantities, namely, the gravitational constant G, Planck's constant h and the speed of light c, Which of the following is the
correct option ?

In an experiment for determination of the focal length of a thin convex lens, the distance of the
object from the lens is 10 + 0.1 cm and the distance of its real image from the lens is 20 ± 0.2 cm.
The error in the determination of focal length of the lens is n %. The value of n is

In a particular system of units, a physical quantity can be expressed in terms of the electric charge e, electron mass me, Planck's constant h, and Coulomb's constant k , where e0 is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [B]. The value of (α + ß + γ + δ) is

A physical quantity S is defined as S=(ExB)/ Ho| where E is electric field, B is magnetic field and uo is
the permeability of free space. The dimensions of S are the same as the dimensions of which of the
following quantity (ies) ?

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows: [position] = [Xª]; [speed] = [xP]; [acceleration]=[xP]; [linear momentum] = [Xª]; [force]=[X']. Then -

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JEE Advanced PYQ
Units & Dimensions

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