Solve your IGNOU Doubts

Question:

Show that $a^\dagger a = n + 1$ .

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Question:

कुछ सोशल मीडिया शिष्टाचारों पर चर्चा करें जिनका सोशल मीडिया पर संचालन करते समय पालन करना चाहिए।

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Question:

डिसइन्फॉर्मेशन, मिसइन्फॉर्मेशन एवं माल-इन्फॉर्मेशन इन शब्दों से आप क्या समझते हैं ? इन शब्दों को उपयुक्त उदाहरणों सहित समझाइये। वास्तविक उदाहरण देने का प्रयास करें जो आपने हाल ही में देखा है।

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Question:

For a particle of mass $m$ in a gravitational field, with the Hamiltonian:

$H = \frac{p^2}{2m} + mgx,$

determine $\frac{d\hat{x}}{dt}$ and $\frac{d\hat{p}}{dt}$ . Solve the equations of motion to find $\hat{x}(t)$ and $\hat{p}(t)$ in terms of $\hat{x}(0)$ and $\hat{p}(0)$ . Also, calculate $[\hat{x}(t), \hat{p}(t)]$ .

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Question:

एक्टर-नेटवर्क सिद्धांत

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Question:

onsider the two state vectors in a vector space spanned by the orthonormal eigenkets $|\phi_1\rangle$ , $|\phi_2\rangle$ , $|\phi_3\rangle$ :

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Question:

आभासी समुदाय

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Question:

Determine $r$ for an electron in the $\psi_{210}$ state of the hydrogen atom and show that the most probable value of $r$ for this state is $4a_0$ .

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Question:

The initial wavefunction for a simple harmonic oscillator is:

$\psi(x, 0) = \frac{1}{\sqrt{2}} (\psi_0(x) - i \sqrt{3} \psi_2(x)),$

where $\psi_0$ and $\psi_2$ are the normalized eigenfunctions of the simple harmonic oscillator. Determine $\psi(x, t)$ and the expectation value of $\hat{H}$ in the state $\psi(x, 0)$ .

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Question:

Calculate the expectation values $\langle \hat{x} \rangle$ and $\langle \hat{x}^2 \rangle$ for the following odd parity state of a symmetric infinite potential well:

$\psi_n(x) = \begin{cases} \sqrt{\frac{2}{a}} \sin\left(\frac{n \pi x}{a}\right), & n = 2, 4, 6, \ldots, \\ 0, & \text{otherwise}. \end{cases}$

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Question:

Show that $[L_x, [L_y, L_z]] = i\hbar (L_y L_x - L_x L_y)$ .

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Question:

The wavefunction for a particle is given by:

$\psi(x) = \begin{cases} N (L^2 - x^2) & \text{for } -L \leq x \leq L, \\ 0 & \text{otherwise}. \end{cases}$

Calculate the normalization constant $N$ .

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Question:

How will you manage a child with acute asthma in a FRU set up?

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Question:

A particle of mass $m$ is constrained to move in a one-dimensional region between two infinitely high potential barriers separated by a distance $L_0$ . Using the uncertainty principle, determine the zero-point energy of the particle.

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Question:

How do you teach a mother to treat eye infection at home?

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Question:

Discuss management of severe persistent diarrhea in a 2 year child.

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Question:

Assessment of positioning and breast attachment.

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Question:

Calculate the average de Broglie wavelength of a nitrogen molecule at room temperature, given that the mass of the nitrogen molecule is $4.65 \times 10^{-26} \, \text{kg}$ .