The pair(s) of physical quantities that have the do not have same dimensions, is (are)

(1) Reynolds number and coefficient of friction

(2) Latent heat and gravitational potential

(3) Curie and frequency of a light wave

(4) Planck's constant and torque

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The speed of light (c), gravitational constant (G) and Planck's constant (h) are taken as the fundamental units in a system. The dimension of time in this new system should be

(1) ${G}^{1/2}{h}^{1/2}{c}^{-5/2}$

(2) ${G}^{-1/2}{h}^{1/2}{c}^{1/2}$

(3) ${G}^{1/2}{h}^{1/2}{c}^{-3/2}$

(4) ${G}^{1/2}{h}^{1/2}{c}^{1/2}$

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the constant of gravitation (G), Planck's constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is

(1) ${h}^{1/2}{c}^{-3/2}{G}^{1/2}$

(2) ${h}^{1/2}{c}^{3/2}{G}^{1/2}$

(3) ${h}^{1/2}{c}^{-3/2}{G}^{-1/2}$

(4) ${h}^{-1/2}{c}^{-3/2}{G}^{1/2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

X = 3YZ2 find dimension of Y in (MKSA) system, if X and Z are the dimension of capacity and magnetic field respectively

(1) ${M}^{-3}{L}^{-2}{T}^{-4}{A}^{-1}$

(2) ML–2

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

(4) ${M}^{-3}{L}^{-2}{T}^{8}{A}^{4}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

In the relation $P=\frac{\alpha }{\beta }{e}^{-\frac{\alpha Z}{k\theta }}$ P is pressure, Z is the distance, k is Boltzmann constant and θ is the temperature. The dimensional formula of β will be

(1) $\left[{M}^{0}{L}^{2}{T}^{0}\right]$

(2) $\left[{M}^{1}{L}^{2}{T}^{1}\right]$

(3) $\left[{M}^{1}{L}^{0}{T}^{-1}\right]$

(4) $\left[{M}^{0}{L}^{2}{T}^{-1}\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The frequency of vibration of string is given by $\nu =\frac{p}{2l}{\left[\frac{F}{m}\right]}^{1/2}$. Here p is number of segments in the string and l is the length. The dimensional formula for m will be

(1) $\left[{M}^{0}L{T}^{-1}\right]$

(2) $\left[M{L}^{0}{T}^{-1}\right]$

(3) $\left[M{L}^{-1}{T}^{0}\right]$

(4) $\left[{M}^{0}{L}^{0}{T}^{0}\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

 Column I Column II (i) Curie (A) MLT–2 (ii) Light year (B) M (iii) Dielectric strength (C) Dimensionless (iv) Atomic weight (D) T (v) Decibel (E) ML2T–2 (F) MT–3 (G) T–1 (H) L (I) MLT–3I–1 (J) LT–1

Choose the correct match

(1) (i) G, (ii) H, (iii) I, (iv) B, (v) C

(2) (i) D, (ii) H, (iii) I, (iv) B, (v) G

(3) (i) G, (ii) H, (iii) I, (iv) B, (v) G

(4) None of the above

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A wire has a mass 0.3 ± 0.003 g, radius 0.5 ± 0.005 mm and length 0.6 ± 0.006 cm. The maximum percentage error in the measurement of its density is

(1) 1

(2) 2

(3) 3

(4) 4

Concept Questions :-

Errors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If 97.52 is divided by 2.54, the correct result in terms of significant figures is

(1) 38.4

(2) 38.3937

(3) 38.394

(4) 38.39

Concept Questions :-

Significant Figures
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Assertion :Light year’ and ‘Wavelength’ both measure distance.

Reason : Both have dimensions of time.

1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
3. If the assertion is true but the reason is false
4. If both the assertion and reason are false

Concept Questions :-

Dimensions