Solve your IGNOU Doubts

Question:

Obtain the angular momentum matrix $\hat{J}_y$ for $j = 1$ .

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Question:

Write the angular momentum states $|j, m_j\rangle$ for $j = \frac{5}{2}$ and determine the eigenvalues of $\hat{J}^2$ and $\hat{J}_z$ for each state.

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Question:

आईसीटी सक्षम शिक्षा घ. ई-गवर्नेस के मॉडल

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Question:

ऑनलाइन ऐक्टिविज़म ख. नागरिक पत्रकारिता

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Question:

Using the equation:

$\psi_{n+1}(x) = \sqrt{\frac{2}{n+1}} x \psi_n(x) - \sqrt{\frac{n}{n+1}} \frac{d}{dx} \psi_n(x),$

determine $\psi_3(x)$ .

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Question:

अपनी पसंद के भारत के किन्हीं दो विश्ववि‌द्यालयों के वेब पोर्टल का चयन करें। इन दो चयनित वेब पोर्टलों द्वारा प्रदान की गई सेवाओं की तुलना करें। (अपने चुने हुए वेब पोर्टल के स्क्रीनशॉट संलग्न करें)।

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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.