NEET Physics MCQ: NCERT Dimensional Analysis

🎯Difficulty :Easy

⚡ Time Required :1 mins

🔄Ncert Concepts :Dimensional Analysis, Gravitational Constant

Related Questions

Given that $:y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }} \right)\;\left( {ct - x} \right)} \right]$ where, y and x are measured in metre. Which of the following statements is true?

The unit of $\lambda$ is same as that of x and A

The unit of $\lambda$ is same as that of x but not of A

The unit of c is same as that of $\frac{{2\pi }}{\lambda }$

The unit of (ct-x) is same as that of $\frac{{2\pi }}{\lambda }$

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🔄Ncert Concepts :units, trigonometric functions, dimensional analysis

If p represents radiation pressure, C represents speed of light and q represents radiation energy striking a unit area per second, then non-zero integers a,b and c are such that ${p^a}{q^b}{C^c}$ is dimensionless, then

$a = 1,b = 1,c = - 1$

$a = 1,b = - 1,c = 1$

$a = - 1,b = 1,c = 1$

$a = 1,b = 1,c = 1$

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🔄Ncert Concepts :Dimensional Analysis, Radiation Pressure, Energy Flux, Speed of Light

Which of the following is dimensionally correct

Pressure = Energy per unit area

Pressure = Energy per unit volume

Pressure = Force per unit volume

Pressure = Momentum per unit volume per unit time

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🔄Ncert Concepts :Pressure, Energy, Dimensions, Units, Volume, Force, Momentum, Dimensional Analysis

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

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

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

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

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

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🔄Ncert Concepts :Dimensional Analysis, Planck's Constant, Gravitational Constant, Speed of Light, Radius of Gyration

If F denotes force and t time, then in equation $F = a{t^{ - 1}} + \;b{t^2},$ , the dimensions of a and b respectively are

$\left[ {{\rm{L}}{{\rm{T}}^{ - 4}}} \right]{\rm{\;and\;}}\left[ {{\rm{L}}{{\rm{T}}^{ - 1}}} \right]$

$\left[ {{\rm{L}}{{\rm{T}}^{ - 1}}} \right]{\rm{\;and\;}}\left[ {{\rm{L}}{{\rm{T}}^{ - 4}}} \right]$

$\left[ {{\rm{ML}}{{\rm{T}}^{ - 4}}} \right]{\rm{\;and\;}}\left[ {{\rm{ML}}{{\rm{T}}^{ - 1}}} \right]$

$\left[ {{\rm{ML}}{{\rm{T}}^{ - 1}}} \right]{\rm{\;and\;}}\left[ {{\rm{ML}}{{\rm{T}}^{ - 4}}} \right]$

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🔄Ncert Concepts :Dimensional Analysis, Force, Time

The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck’s constant (h) is

1/2

-1/2

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🔄Ncert Concepts :Dimensional Analysis, Planck's constant, Universal Gravitational Constant

The velocity of a particle (v) at an instant t is given by $v = at + b{t^2}$ the dimension of b is

$L{T^{ - 1}}$

$L{T^ - }2$

$L{T^{ - 3}}$

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🔄Ncert Concepts :Dimensional Analysis, Kinematics, Velocity

In ${\rm{\;S}} = a + bt + c{t^2}$ . S is measured in metre and t in second. The unit of c is

None

$m{s^{ - 1}}$

$m{s^{ - 2}}$

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🔄Ncert Concepts :Dimensional Analysis, Units of Measurement, Kinematics

If L,C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency

$\frac{1}{{RC}}$

$\frac{R}{L}$

$\frac{1}{{\sqrt {LC} }}$

$\frac{C}{L}$

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