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Torque of centrifugal force about $A$

$=\int d=\int \left[dm{\omega }^2(x\mathrm{s}\mathrm{i}\mathrm{n}?\theta )\right](x\mathrm{c}\mathrm{o}\mathrm{s}?\theta )$

$={\int }_0^{\mathcal{l}}?\frac{\mathrm{m}}{\mathcal{l}}\mathrm{d}x{\omega }^2{x}^2\mathrm{s}\mathrm{i}\mathrm{n}?\theta \mathrm{c}\mathrm{o}\mathrm{s}?\theta$

$=\frac{m}{\mathcal{l}}{\omega }^2\mathrm{s}\mathrm{i}\mathrm{n}?\theta \mathrm{c}\mathrm{o}\mathrm{s}?\theta {\left[\frac{x^3}{3}\right]}_0^{\mathcal{l}}=\frac{m{\omega }^2{\mathcal{l}}^2\mathrm{s}\mathrm{i}\mathrm{n}?\theta \mathrm{c}\mathrm{o}\mathrm{s}?\theta }{3}$

  ${\tau }_{\mathrm{m}\mathrm{g}}={\tau }_{\text{centrifugal}}$ (about A)

$\mathrm{m}\mathrm{g}\frac{\mathcal{l}}{2}\mathrm{s}\mathrm{i}\mathrm{n}?\theta =\frac{m{\omega }^2{\mathcal{l}}^2\mathrm{s}\mathrm{i}\mathrm{n}?\theta \mathrm{c}\mathrm{o}\mathrm{s}?\theta }{3}$

$\mathrm{c}\mathrm{o}\mathrm{s}?\theta =\frac{3g}{2\mathcal{l}{\omega }^2}$

$eVs=hv-?$

$\begin{array}{rr}& \text{At}{\mathrm{V}}_{\mathrm{s}}=0\Rightarrow \mathrm{h}\mathrm{v}=?\\ & \Rightarrow \mathrm{}?=\left. [6.62\times {10}^{-34}\right]\left. [{10}^{14}\right]\left[5.5\right]\\ & \Rightarrow \mathrm{}?=\frac{\left. [6.62\times {10}^{-34}\right]\left. [{10}^{14}\right]\left[5.5\right]\mathrm{e}\mathrm{V}}{\left(1.6\times {10}^{-19}\right]}\end{array}$

$=2.27$

Harvard Kennedy School offers various MS programs. The school offers its application mostly in September every year and receives thousands of applications. It selects students based on various factors like 
strong academic achievements and intellectual distance 
quantitative proficiency 
leadership potential 
personal characteristics 
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International students who align with following characteristics gain admission in MS programs

IISc Bangalore admissions are currently open. Eligible candidates must apply online on the official website of the institute. Students must check the application deadline to avoid missing out the chance.

The best way to practice is by creating flashcards, take online grammar quizzes, or write sentences using “this”, “that”, “these”, and “those”. Apart from this, they can also consciously use these terms in daily conversations, such as while pointing at objects.

One tip is to read newspapers, novels, and watch English TV shows. By practicing these tips over time, students will master this topic.

Although this is not a difficult topic, but by following basic tips students can crack it easily.

IISc Bangalore accepts JEE Advanced scores for admission to BTech course. Aspirants must have a good JEE ranked to get a seat in the institute. The cutoffs are usually competitive. Hence, aspirants must prepare throroughly for the test.

No, they are not same, although they use the same words (this, that, these, those). A demonstrative pronoun stands alone and replaces a noun, as in “This is shocking.”

On the other hand, a demonstrative adjective, modifies a noun, as in “This movie is horrific.” Confusing the two is a common mistake, but the key is to check whether the word comes with a noun or not.

$g=\frac{Ax}{{\left(x^2+a^2\right)}^{3/2}}$  $\frac{}{{\left({}^{}{}^{}\right)}^{}}$

$\Rightarrow \mathrm{}{\int }_v^0?dV=-{\int }_x^{\mathrm{\infty }}?gdx$

$\Rightarrow \mathrm{}O-V=-\left[\int \frac{Ax}{{\left(a^2+x^2\right)}^{3/2}}\right]$

Let, $a^2+x^2=t^2$ ${}^{}{}^{}{}^{}$

$\Rightarrow \mathrm{}2xdx=2tdt$

$\Rightarrow \mathrm{}\mathrm{x}\mathrm{d}x=\mathrm{t}\mathrm{d}\mathrm{t}$

$\Rightarrow \mathrm{}V=\int \frac{Atdt}{t^3}\Rightarrow -\frac{A}{t}\Rightarrow -{\left.\frac{A}{\sqrt[]{a^2+x^2}}\right|}_x^{\mathrm{\infty }}$

$\Rightarrow \mathrm{}V=\frac{A}{\sqrt[]{a^2+x^2}}$

$\mathrm{}\mathrm{q}\mathrm{V}=\frac{1}{2}m{v}^2$

$\Rightarrow \mathrm{v}=\sqrt[]{\frac{2\mathrm{q}\mathrm{V}}{\mathrm{m}}}\Rightarrow \mathrm{v}\propto \sqrt[]{\frac{\mathrm{q}}{\mathrm{m}}}$

$\frac{{\mathrm{v}}_{\mathrm{H}}}{{\mathrm{v}}_{\mathrm{H}\mathrm{e}}}=\sqrt[]{\frac{1}{1}\times \frac{4}{1}}=\frac{2}{1}$

Yes, they are not just restricted to present objects; but can also refer to past events.

For example, “That was a tough week, ” points back to a specific week already experienced. Similarly, “This was one of the saddes moments of my his life” refers to a past event with emotional emphasis. Such usage allows speakers to highlight or emphasize particular memories or incidents.

“This” is a demonstrative pronoun which acts as a singular used to refer to a single object or person that is near in time or space. While “this” is plural, used when talking about more than one thing that is also nearby. The difference lies in the number and distance. For example: “This pen is mine” (one item) vs “These pens are yours” (multiple items). Recognizing this difference is crucial for grammatical accuracy.

No, the JD School of Design has not announced any deadlines for the BSc admissions in the year 2025 just yet. Candidates can still apply for admissions by visiting the official website of JD School of Design as the website is still accepting application forms. Candidates who are intersted in BSc admissions at JD School of Design are advised to apply as soon as possible.

$\mathrm{}{\stackrel{?}{P}}_i={\stackrel{?}{P}}_f\Rightarrow 0.1\times 20=2\times v_x$

$\Rightarrow {\mathrm{v}}_{\mathrm{x}}=1\mathrm{m}/\mathrm{s}$

${\mathrm{v}}_{\mathrm{y}}=\sqrt[]{2\mathrm{g}\mathrm{h}}=\sqrt[]{2\times 10\times 1},\mathrm{K}\mathrm{E}=\frac{1}{2}\mathrm{m}\left({\mathrm{V}}_{\mathrm{x}}^2+{\mathrm{V}}_{\mathrm{y}}^2\right)$

$\mathrm{K}\mathrm{E}=\frac{1}{2}\times 2\times (1+20)=21\mathrm{J}$

Demonstrative pronouns are words used to point toward specific people, objects, or ideas without directly naming them.

Most common ones are this, that, these, and those. They help the speaker or writer indicate whether something is near or far, and whether it is singular or plural. For example, “This is my bag” or “Those are your shoes.” They are widely used in daily communication to bring clarity and emphasis.

B $\mathrm{}\stackrel{?}{B}$ is $\perp$ to $\stackrel{?}{E}$ and direction of propagation of wave. Also, $v{B}_0=E_0$

${\mathrm{B}}_0=\frac{{\mathrm{E}}_0}{\mathrm{v}}={\mathrm{E}}_0\sqrt[]{{\mu }_0{\in }_0}$

Admissions into BSc courses at JD School of Design are still open in the year 2025. The admissions dates have not been revealed by JD School of Design for BSc courses. However, the official website is still accepting admission forms from candidates looking to get enrolled in the BSc courses at JD School of Design. Candidates are advised to visit the official website to learn more.

The University of Delhi BA tuition fee ranges from INR 540 to INR 1.55 lakh. It varies based on selected course specialisation and the allotted college. The course fee structue includes hostel fee that range from INR 66,900 to INR 5.4 lakh. The one-time fee range from INR 50 to INR 12,070. Candidates who get finalised have to pay the prescribed admission fee amount. The given fee is taken from the official website/ sanctioning body. It is still subject to revision and hence, is indicative.

The selection process for admission to the MBA course at Sabarmati University includes multiple steps that start from registration and conclude with paying an adequate amount of course fees. The whole selection process also involves the completion of eligibility criteria, scoring a valid score in the entrance exam, getting selected in the cutoff list, etc. Candidates seeking admission to Sabarmati University must clear the course-specific entrance test. Based on the entrance test scores, selected candidates are eligible to register for ACPC counselling. 

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