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Sound Engineering Quiz 22/12/2023

Which of the following chops off the audio waveform?

(A) Clipping
(B) Limiting
(C) Compression
(D) Amplification

Sound Engineering Quiz Which of the following chops off the audio waveform? (A) Clipping (B) Limiting (C) Compression (D) Amplification

Four large metal plates … 14/11/2023

Four large metal plates …

Four large metal plates … Visit the post for more.

A gun is mounted on a gun carriage … 12/11/2023

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A gun is mounted on a gun carriage … [.pdf Download]

A scientist created a two dimensional circuit … 31/10/2023

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A scientist created a two-dimensional circuit …

A scientist created a two dimensional circuit … [Download .pdf]

Find the equivalent capacitance $C_{AB}$ of the circuit … 30/10/2023

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Find the equivalent capacitance $C_{AB}$ of the circuit … [Download .pdf]

An alpha-particle and a proton are fired … 25/10/2023

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An alpha-particle and a proton are fired … [Download .pdf]

Solve for x & y$\sqrt x + y = 7$$x + \sqrt y = 11$ 25/10/2023

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Solve for x & y$\sqrt x + y = 7$$x + \sqrt y = 11$ [Download .pdf]

The label on the bottle of $H_2O_2$ solution … 25/10/2023

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The label on the bottle of $H_2O_2$ solution … [Download .pdf]

The two blocks, each of mass M kg, are connected … 23/10/2023

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The two blocks, each of mass M kg, are connected … [Download .pdf]

A block of mass $\sqrt 3$ kg is placed … 22/10/2023

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A block of mass $\sqrt 3$ kg is placed … [Download .pdf]

The string between mass m and 2m is inextensible and light … 21/10/2023

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The string between mass m and 2m is inextensible and light … [Download .pdf]

${x^{{x^2}}} = {x^{4x + 5}}$ 20/10/2023

The number of solution(s) the equation ${x^{{x^2}}} = {x^{4x + 5}}$ has: (A) One solution only (B) Two solutions (C) Three solutions (D) No solution [Download .pdf]

${x^{{x^2}}} = {x^{4x + 5}}$ The number of solution(s) the equation ${x^{{x^2}}} = {x^{4x + 5}}$ has: (A) One solution only (B) Two solutions (C) Three solutions (D) No solution [Download .pdf]…

In $\Delta ABC$, $\left| {\begin{array}{*{20}{c}}{\cos 3A}&{\cos 3B}&{\cos 3C}\\{\cos A}&{\cos B}&{\cos C}\\{\sin A}&{\sin B}&{\sin C}\end{array}} ight| = 0$Select the right option 20/10/2023

(A) Triangle is isosceles (B) Triangle is equilateral (C) Triangle is right angled (D) Triangle is scalene We have, $\left| {\begin{array}{*{20}{c}}{4{{\cos }^3}A - 3\cos A}&{4{{\cos }^3}B - 3\cos B}&{4{{\cos }^3}C - 3\cos C}\\{\cos A}&{\cos B}&{\cos C}\\{\sin A}&{\sin B}&{\sin C}\end{array}} \right| = 0$ $ \Rightarrow \left| {\begin{array}{*{20}{c}}{4{{\cos }^3}A}&{4{{\cos }^3}B}&{4{{\cos }^3}C}\\{\cos A}&{\cos B}&{\cos C}\\{\sin A}&{\sin B}&{\sin C}\end{array}} \right| - \left| {\begin{array}{*{20}{c}}{3\cos A}&{3\cos B}&{3\cos C}\\{\cos A}&{\cos B}&{\cos C}\\{\sin A}&{\sin B}&{\sin C}\end{array}} \right| = 0$...

In $\Delta ABC$, $\left| {\begin{array}{*{20}{c}}{\cos 3A}&{\cos 3B}&{\cos 3C}\\{\cos A}&{\cos B}&{\cos C}\\{\sin A}&{\sin B}&{\sin C}\end{array}} ight| = 0$Select the right option (A) Triangle is isosceles (B) Triangle is equilateral (C) Triangle is right angled (D) Triangle is scalene We have, $\left| {\begin{array}{*{20}{c}}{4{{\cos }^3}A – 3\cos A}&{4{{\cos }^3}…

$f(x + \sqrt x ) = x – \sqrt x $$f(380) = ?$ 15/10/2023

Substituting 361 in place of x, $f(361 + \sqrt {361} ) = 361 - \sqrt {361} $ $ \Rightarrow f(361 + 19) = 361 - 19$ $ \Rightarrow f(380) = 342$

$f(x + \sqrt x ) = x – \sqrt x $$f(380) = ?$ Substituting 361 in place of x, $f(361 + \sqrt {361} ) = 361 – \sqrt {361} $ $ \Rightarrow f(361 + 19) = 361 – 19$ $ \Rightarrow f(380) = 342$

Part B: Two Ends of an Inextensible String …… 14/10/2023

Two ends of an inextensible string passing over two fixed pulleys with midpoint connected to a block are pulled down with constant speed ve making the block to move up. Then which of the following options is correct? A) $v_m = v_e $ B) $v_m > v_e $ C) $v_m < v_e $ D) Data is insufficient to conclude...

Part B: Two Ends of an Inextensible String …… Two ends of an inextensible string passing over two fixed pulleys with midpoint connected to a block are pulled down with constant speed ve making the block to move up. Then which of the following …

$N{H_2} – CO – N{H_2}\xrightarrow{NaOBr} {N_2}$ 13/10/2023

Hydrazine formed from Urea is further oxidised to $N_2$ as shown below: $N{H_2} - \mathop {\mathop C\limits^\parallel }\limits^O - N{H_2} \xrightarrow[\text{Hoffmann Bromamide Degradation}]{\text{NaOBr}} N{H_2} - N{H_2} \longrightarrow {N_2}$ Assuming 1 dL of blood sample contains 30 mg of Urea, calculate the volume of $N_2$ gas obtained at NTP from the sample....

$N{H_2} – CO – N{H_2}\xrightarrow{NaOBr} {N_2}$ Hydrazine formed from Urea is further oxidised to $N_2$ as shown below: $N{H_2} – \mathop {\mathop C\limits^\parallel }\limits^O – N{H_2} \xrightarrow[\text{Hoffmann Bromamide Degradati…

Nomenclature of Crown Ether 12/10/2023

-crown-6 has: A) 18 Carbon & 6 Oxygen atoms B) 6 Carbon & 18 Oxygen atoms C) 12 Carbon & 6 Oxygen atoms D) 6 Carbon & 12 Oxygen atoms Key Crown ether named [T]-crown-O, means T is the total number of atoms in the ring and O is the number of oxygen atoms in the ring. For, -crown-6 there are 6 Oxygen atoms and a total of 18 atoms. So, number of Carbon atoms = 18 - 6 = 12 Hence, option (C).

Nomenclature of Crown Ether [18]-crown-6 has: A) 18 Carbon & 6 Oxygen atoms B) 6 Carbon & 18 Oxygen atoms C) 12 Carbon & 6 Oxygen atoms D) 6 Carbon & 12 Oxygen atoms Key Crown ether named [T]-crown-O, means T …

$\frac{1}{{102 \times 101 \times 100}} + \frac{1}{{101 \times 100 \times 99}} + ……… + \frac{1}{{3 \times 2 \times 1}} = ?$ 11/10/2023

$frac{1}{{102 times 101 times 100}} + frac{1}{{101 times 100 times 99}} + ......... + frac{1}{{3 times 2 times 1}} = ?$

$\frac{1}{{102 \times 101 \times 100}} + \frac{1}{{101 \times 100 \times 99}} + ……… + \frac{1}{{3 \times 2 \times 1}} = ?$ On rewriting we have the series as, $\frac{1}{{1 \times 2 \times 3}} + \frac{1}{{2 \times 3 \times 4}} + …………….. + \frac{1}{{100 \times 101 \times 102}}$ $ = \sum\limi…

${S_n} = \frac{1}{3} + \frac{1}{{15}} + \frac{1}{{35}} + \frac{1}{{63}} + ……… = ?$ 10/10/2023

${S_n} = frac{1}{3} + frac{1}{{15}} + frac{1}{{35}} + frac{1}{{63}} + ......... = ?$

${S_n} = \frac{1}{3} + \frac{1}{{15}} + \frac{1}{{35}} + \frac{1}{{63}} + ……… = ?$ ${t_r} = \frac{1}{{4{r^2} – 1}}$ $ = \frac{1}{{(2r – 1)(2r + 1)}} = \frac{1}{2}\left( {\frac{1}{{2r – 1}} – \frac{1}{{2r + 1}}} ight)$ ${S_n} = \sum\limits_{r = 1}^n {\fra…

Water in Vertical Circle 09/10/2023

Water in Vertical Circle

Water in Vertical Circle Consider a small bucket full of water tied to a string whirled around in vertical circle of radius r without water falling down. At the topmost position when the speed of the inverted bucket is v, …

Weighing Machine in Elevator 08/10/2023

Weighing Machine in Elevator

Weighing Machine in Elevator A man inside an elevator uses weighing machine to weigh himself. With what acceleration should the elevator descend so that the weighing machine reports the weight of the man to be half of its true…

Circular Motion Radius Area 07/10/2023

Circular Motion Radius Area

Circular Motion Radius Area Consider a particle in circular motion as shown in the figure. The position vector sweeps equal area in equal time. Select correct option(s). (A) the speed is constant (B) acceleration is constant …

Pulley + Block + Rope 06/10/2023

Pulley + Block + Rope

Pulley + Block + Rope A uniform rope of linear mass density $\lambda $ is used to release block m with uniform acceleration a. Find the tension at a point P on the rope at a distance l from the block as shown in the fig…

${\sin ^2}{1^\circ } + {\sin ^2}{2^\circ } + ………… + {\sin ^2}{180^\circ } = ?$ 05/10/2023

${sin ^2}{1^circ } + {sin ^2}{2^circ } + ............ + {sin ^2}{180^circ } = ?$

${\sin ^2}{1^\circ } + {\sin ^2}{2^\circ } + ………… + {\sin ^2}{180^\circ } = ?$ The given expression can be written as, $\frac{1}{2}\left[ {(1 – \cos {2^\circ }) + (1 – \cos {4^\circ }) + ……………. + (1 – \cos {{360}^\circ })} igh…

Prove that, ${\left( {\frac{{1 + \sin \theta + i\cos \theta }}{{1 + \sin \theta – i\cos \theta }}} ight)^n} =$ $\cos n\left( {\frac{\pi }{2} – \theta } ight) + i\sin n\left( {\frac{\pi }{2} – \theta } ight)$ 04/10/2023

Prove that, ${left( {frac{{1 + sin theta + icos theta }}{{1 + sin theta - icos theta }}} right)^n} =$ $cos nleft( {frac{pi }{2} - theta } right) + isin nleft( {frac{pi }{2} - theta } right)$

Prove that, ${\left( {\frac{{1 + \sin \theta + i\cos \theta }}{{1 + \sin \theta – i\cos \theta }}} ight)^n} =$ $\cos n\left( {\frac{\pi }{2} – \theta } ight) + i\sin n\left( {\frac{\pi }{2} – \theta } ight)$ LHS = ${\left[ {\frac{{(1 + \sin \theta + i\cos \theta )(\sin \theta + i\cos \theta )}}{{\{ 1 + (\sin \theta – i\cos \theta )\} (\sin \theta + i\cos \theta )}}} ight]^n}$ $ = {\left[ {\frac…

Find the least value of ${a^2}{\sec ^2}\theta + {b^2}{ m{cose}}{{ m{c}}^2}\theta $ 03/10/2023

Find the least value of ${a^2}{sec ^2}theta + {b^2}{rm{cose}}{{rm{c}}^2}theta $

Find the least value of ${a^2}{\sec ^2}\theta + {b^2}{ m{cose}}{{ m{c}}^2}\theta $ The given expression can be written as, $({a^2}{\sec ^2}\theta – {a^2}) + {a^2} + ({b^2}{ m{cose}}{{ m{c}}^2}\theta – {b^2}) + {b^2}$ $ = {a^2}{\tan ^2}\theta + {b^2}{\cot ^2}\theta +…

$\mathop {\lim }\limits_{x \to 0} {e^{\frac{{\tan x – \sin x}}{{{{\sin }^3}x}}}} = ?$ 02/10/2023

https://123iitjee.manishverma.site/mathop-lim-limits_x-to-0-efractan-x-sin-xsin-3x/

$\mathop {\lim }\limits_{x \to 0} {e^{\frac{{\tan x – \sin x}}{{{{\sin }^3}x}}}} = ?$ The given limit = ${e^{\mathop {\lim }\limits_{x \to 0} \frac{{\tan x – \sin x}}{{{{\sin }^3}x}}}}$ $ = {e^{\mathop {\lim }\limits_{x \to 0} \frac{{\frac{1}{{\cos x}} – 1}}{{{{\sin }^2}…

In acute angled $\Delta ABC$ prove that,$sin A + sin B + sin C > cos A + cos B + cos C$ 01/10/2023

In acute angled $Delta ABC$ prove that,$sin A + sin B + sin C > cos A + cos B + cos C$

In acute angled $\Delta ABC$ prove that,$sin A + sin B + sin C > cos A + cos B + cos C$ In acute angled triangle, $\cos \frac{A}{2} > \sin \frac{A}{2}$ So, $\sin \frac{A}{2}.\cos \frac{A}{2} > \sin \frac{A}{2}.\sin \frac{A}{2}$ Hence, $2\sin \frac{A}{2}\cos \frac{A}{2} > 2{\s…

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