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Physics NEET Questions — Free MCQ Practice

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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

A.

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

B.

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

C.

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

D.

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

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Explanation

Let radius of gyration $[k] \propto {[h]}^{x} {[c]}^{y} {[G]}^{z}$

By substituting the dimension of $[k] = [L]$

$[h] = [M L^{2} T^{- 1}], [c] = [L T^{- 1}], [G] = [M^{- 1} L^{3} T^{- 2}]$

and by comparing the power of both sides

we can get $x = 1 / 2, y = - 3 / 2, z = 1 / 2$

So dimension of radius of gyration are ${[h]}^{1 / 2} {[c]}^{- 3 / 2} {[G]}^{1 / 2}$

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

A.

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

B.

ML^–2

C.

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

D.

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

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Explanation

$(4) C = \frac{Q}{V} C = \frac{Q}{W / Q} = \frac{Q^{2}}{W} [C] = M^{- 1} L^{- 2} T^{4} A^{2} F = ilB [B] = {MA}^{- 1} T^{- 2} Y = \frac{X}{3 Z^{2}} = \frac{M^{- 1} L^{- 2} T^{4} A^{2}}{{[{MT}^{- 2} A^{- 1}]}^{2}} = [M^{- 3} L^{- 2} T^{8} A^{4}]$

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

A.

$[M^{0} L^{2} T^{0}]$

B.

$[M^{1} L^{2} T^{1}]$

C.

$[M^{1} L^{0} T^{- 1}]$

D.

$[M^{0} L^{2} T^{- 1}]$

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Explanation

In given equation, $\frac{α z}{k θ}$ should be dimensionless

∴ $α = \frac{k θ}{z} \Rightarrow [α] = \frac{[M L^{2} T^{- 2} K^{- 1} \times K]}{[L]} = [M L T^{- 2}]$

and $P = \frac{α}{β} \Rightarrow [β] = [\frac{α}{p}] = \frac{[M L T^{- 2}]}{[M L^{- 1} T^{- 2}]} = [M^{0} L^{2} T^{0}]$ .

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

A.

$[M^{0} L T^{- 1}]$

B.

$[M L^{0} T^{- 1}]$

C.

$[M L^{- 1} T^{0}]$

D.

$[M^{0} L^{0} T^{0}]$

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Explanation

$ν = \frac{P}{2 l} {[\frac{F}{m}]}^{1 / 2}$ $\Rightarrow ν^{2} = \frac{P^{2}}{4 l^{2}} [\frac{F}{m}] ∴ m \propto \frac{F}{l^{2} ν^{2}}$

$\Rightarrow [m] = [\frac{M L T^{- 2}}{L^{2} T^{- 2}}] = [M L^{- 1} T^{0}]$

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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

A.

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

B.

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

C.

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

D.

None of the above

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Explanation

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

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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

A.

1

B.

2

C.

3

D.

4

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Explanation

$∵$ Density, $ρ = \frac{M}{V} = \frac{M}{π r^{2} L}$

$\Rightarrow \frac{Δ ρ}{ρ} = \frac{Δ M}{M} + 2 \frac{Δ r}{r} + \frac{Δ L}{L}$

$= \frac{0 .003}{0 .3} + 2 \times \frac{0 .005}{0 .5} + \frac{0 .06}{6}$

$= 0 .01 + 0 .02 + 0 .01 = 0 .04$

∴ Percentage error $= \frac{Δ ρ}{ρ} \times 100 = 0 .04 \times 100 = 4 %$

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

A.

38.4

B.

38.3937

C.

38.394

D.

38.39

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Explanation

Significant figure= $\frac{97.52}{2.54}$ =38.4

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

Reason : Both have dimensions of time.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Light year and wavelength both represents the distance, so both has dimension of length not of time.

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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.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Light year measures distance and year measures time. One light year is the distance traveled by light in one year.

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Assertion : Force cannot be added to pressure.

Reason : Because their dimensions are different.

A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion C. If the assertion is true but the reason is false D. If both the assertion and reason are false

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Explanation

Addition and subtraction can be done between quantities having same dimension.

Physics MCQs for NEET — Practice Questions with Answers

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