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- \(408 = 2^3 \times 3 \times 17\)
- \(462 = 2 \times 3 \times 7 \times 11\)
- \(516 = 2^2 \times 3 \times 43\)
The film history of the subcontinent and Pakistan involves several important firsts that students commonly confuse:
- First silent film from Lahore (Punjab): The Daughter of Today (1924), produced by Premier Film Company, directed by Mian Abdur Rasheed Kardar (A.R. Kardar)
- First Punjabi (talkie) film from Lahore: Heer Ranjha (1932), released one year after Alam Ara (1931) — meaning Lahore was almost as fast as Bombay in adopting sound cinema
- First Pakistani film after independence: Teri Yaad (Urdu), released at Perbhat (Sanober) Cinema, Lahore on 7 August 1948 (Eid-ul-Fitr Day). It was a commercial failure but historic as the inaugural film of the new Pakistani industry.
Note: Jugnu (1947) was the last major pre-partition Pakistani film. Khazanchi (1941) was famous for Master Ghulam Haidar's introduction of Punjabi folk music and Baby Noor Jehan as playback singer.
A missile is fired for maximum range with initial velocity $20\text{ m/s}$ ($g = 10\text{ m/s}^2$). The range of the missile is:
Maximum range occurs at $\theta = 45°$:
$R_{\max} = \dfrac{u^2}{g} = \dfrac{(20)^2}{10} = \mathbf{40\text{ m}}$
Modern propaganda theory classifies propaganda by attribution — how transparent the source is:
- White Propaganda: The source is clearly and truthfully identified. The audience knows who is speaking. Example: Voice of America broadcasting under the U.S. government's name.
- Grey Propaganda: The source is concealed or not attributed. The message is presented as coming from a neutral or independent party, making it seem more credible than if it came from an identified propaganda agency. Unsigned articles, planted stories in media, and anonymous pamphlets are examples.
- Black Propaganda: The message is falsely attributed to a hostile or enemy source, designed to embarrass that source, undermine its credibility, or provoke it into harmful actions. It is subversive and deceptive by design, typically produced by intelligence agencies. An example is forged letters attributed to enemy commanders.
Harold Lasswell defined propaganda as “the management of collective attitudes by the manipulation of significant symbols.”
Checking options:
- H⁺ (Z=1): 0 electrons
- Li⁺ (Z=3): 2 electrons ✓ — isoelectronic with Be²⁺
- Na⁺ (Z=11): 10 electrons
- Mg²⁺ (Z=12): 10 electrons
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