The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of

frequency

velocity

angular momentum

time

Solution

frequency

h - Planck's constant

E - Energy of photon

$E = hν \Rightarrow [h] = \frac{[E]}{[ν]} = \frac{[M L^{2} T^{- 2}]}{[T^{- 1}]} = [M L^{2} T^{- 1}]$

And I = moment of inertia = MR²

$\Rightarrow [I] = [M] [L^{2}] = [{ML}^{2}] Hence, \frac{[h]}{[I]} = \frac{[M L^{2} T^{- 1}]}{[T^{- 1}]} = [T^{- 1}] = \frac{1}{[T]} \Rightarrow dimension of frequency$

Alternative method:-

$\frac{h}{I} = \frac{\frac{E}{ν}}{I} = \frac{E \times T}{I} = \frac{(kg m^{2} / s^{2}) \times s}{(kg m^{2})} = \frac{1}{s} = \frac{1}{time} = freauency$

Thus dimension of h/I is same as frequency.

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Dual Nature Of Radiation And Matter

The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of

frequency

velocity

angular momentum

time

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The time by a photoelectron to come out after the photon strikes is approximately

An alpha nucleus of energy 1 /2 mv² bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

If I₀ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

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For Daily Free Study Material Join wiredfaculty

Dual Nature Of Radiation And Matter

The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of frequency velocity angular momentum time

Some More Questions From Dual Nature of Radiation and Matter Chapter

The time by a photoelectron to come out after the photon strikes is approximately

An alpha nucleus of energy 1 /2 mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

If I0 is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young’s double-slit experiment is

According to Einstein’s photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal Vs the frequency, of the incident radiation gives straight line whose slope

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of

frequency

velocity

angular momentum

time

An alpha nucleus of energy 1 /2 mv² bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

If I₀ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?