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
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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

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Assertion : Light year and year, both measure time.

Reason : Because light year is the time that light takes to reach the earth from the sun.

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Assertion : Force cannot be added to pressure.

Reason : Because their dimensions are different.

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Assertion : Linear mass density has the dimensions of $\left[{M}^{1}{L}^{-1}{T}^{o}\right]$.

Reason : Because density is always mass per unit volume.

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
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Assertion : Rate of flow of a liquid is defined as volume of liquid flowing per second.

Reason : The dimensions of rate of flow are $\left[{M}^{0}{L}^{1}{T}^{-1}\right]$.

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