The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type $f=C\text{\hspace{0.17em}}{m}^{x}{K}^{y}$; where C is a dimensionless quantity. The value of x and y are

(1) $x=\frac{1}{2},\text{\hspace{0.17em}}y=\frac{1}{2}$

(2) $x=-\frac{1}{2},\text{\hspace{0.17em}}y=-\frac{1}{2}$

(3) $x=\frac{1}{2},\text{\hspace{0.17em}}y=-\frac{1}{2}$

(4) $x=-\frac{1}{2},\text{\hspace{0.17em}}y=\frac{1}{2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of

(1) Pressure

(2) Work

(3) Latent heat

(4) None of the above

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The velocity of water waves $v$ may depend upon their wavelength $\lambda$, the density of water $\rho$ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as

(1) ${v}^{2}\propto g{\lambda }^{-1}{\rho }^{-1}$

(2) ${v}^{2}\propto g\lambda \rho$

(3) ${v}^{2}\propto g\lambda$

(4) ${v}^{2}\propto {g}^{-1}{\lambda }^{-3}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The dimensions of resistivity in terms of M, L, T and Q where Q stands for the dimensions of charge, is

(1) $M{L}^{3}{T}^{-1}{Q}^{-2}$

(2) $M{L}^{3}{T}^{-2}{Q}^{-1}$

(3) $M{L}^{2}{T}^{-1}{Q}^{-1}$

(4) $ML{T}^{-1}{Q}^{-1}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The dimensions of Farad are , where Q represents electric charge         [Only for droppers]

(1) ${M}^{-1}{L}^{-2}{T}^{2}{Q}^{2}$

(2) ${M}^{-1}{L}^{-2}TQ$

(3) ${M}^{-1}{L}^{-2}{T}^{-2}Q$

(4) ${M}^{-1}{L}^{-2}T{Q}^{2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The equation of a wave is given by $Y=A\mathrm{sin}\omega \left(\frac{x}{v}-k\right)$ where $\omega$ is the angular velocity, x is length and $v$ is the linear velocity. The dimension of k is

(1) LT

(2) T

(3) ${T}^{-1}$

(4) T2

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Dimensional formula of stress is

(1) ${M}^{0}L{T}^{-2}$

(2) ${M}^{0}{L}^{-1}{T}^{-2}$

(3) $M{L}^{-1}{T}^{-2}$

(4) $M{L}^{2}{T}^{-2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Dimensional formula of velocity of sound is

(1) ${M}^{0}L{T}^{-2}$

(2) $L{T}^{0}$

(3) ${M}^{0}L{T}^{-1}$

(4) ${M}^{0}{L}^{-1}{T}^{-1}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Dimensional formula of capacitance is

(1) ${M}^{-1}{L}^{-2}{T}^{4}{A}^{2}$

(2) $M{L}^{2}{T}^{4}{A}^{-2}$

(3) $ML{T}^{-4}{A}^{2}$

(4) ${M}^{-1}{L}^{-2}{T}^{-4}{A}^{-2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

$ML{T}^{-1}$ represents the dimensional formula of

(1) Power

(2) Momentum

(3) Force

(4) Couple

Concept Questions :-

Dimensions