Class 12th

Contributor-Level 10

Work done is equal to change in K.E.

$S o W_{1} + W_{2} = \frac{1}{2} M {(0.8 \sqrt[]{g h})}^{2} - 0$ W₁^-> work done by mg

$m g h + W_{2} = \frac{1}{2} m * 0.64 g h$ W₂ -> work done by air friction

$W_{2} = 0.32 m g h - m g h = - 0.68 m g h$

W₂ = -0.68 mgh

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10 months ago

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: Roughly speaking, for every 10% increase in energy, the number of cosmic rays per unit area falls by a factor of 1000.

Cosmic Ray energies span a truly enormous range, from about 107 eV through to 1020 eV, but at higher energies the numbers of cosmic rays drop off dramatically. (1) __________.

Since cosmic rays are charged particles whose paths are affected by magnetic fields, determining where they originate is a challenge, and for the most part, an unsolved

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Contributor-Level 10

The introductory line of the given passage shares some facts related to range of the cosmic rays. Contextually, the given sentence fits best in the firs blank only.

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10 months ago

Why do we study Schrödinger's wave equation?

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Syed Aquib Ur Rahman

Contributor-Level 10

Schrödinger's wave equation explains the microscopic world that governs chemistry, electronics, and modern technology. It's basically how our digital world actually functions at the atomic level.

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10 months ago

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: Moreover, due to the rising demand from the population, textile goods have increased, and textile mills and their wastewater have risen proportionately, leading the planet to have a big pollution problem.

The textile industry is indeed one of the world's most significant sectors. (1) ____________. This sector employs people without any extraordinary skill, which plays a crucial role in employment in developing countries, namely, Bangladesh, Vietnam, Pa

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Contributor-Level 10

The sentence after the third blank elaborates the fact stated in the given sentence.

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10 months ago

What are the applications of Schrodinger wave equation?

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Syed Aquib Ur Rahman

Contributor-Level 10

Computer chips, lasers, MRI machines, LED lights, and solar panels all rely on quantum effects that this equation of Schrodinger helps us understand and design.

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10 months ago

A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is: Given m = 8 kg, M = 16kg. Assume all the surfaces shown in the figure to be frictionless.

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Contributor-Level 10

Suppose acceleration of wedge is a and acceleration of block w. r.t. wedge is a₁ then N cos60° = Ma = 16 a -> N = 32 a

For block w.r.t. wedge

N + 8a sin 30° = 8g cos 30°

N = 8g cos 30° - 8a sin 30°

->32a = 8g cos 30° - 8a sin 30°

->a = $\frac{\sqrt[]{3}}{9} g$

Now for 8 kg,

$8 g s i n 30 ° + 8 a c o s 30 ° = m a_{1}$

$a_{1} = g * \frac{1}{2} + \frac{\sqrt[]{3}}{9} g * \frac{\sqrt[]{3}}{2}$

$= \frac{2}{3} g$

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10 months ago

Why is the Schrodinger wave equation important?

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Syed Aquib Ur Rahman

Contributor-Level 10

The Schrodinger wave equation is the foundation of quantum mechanics. Without it, we couldn't understand how atoms work or predict the behaviour of electrons in materials.

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10 months ago

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

States to the agreement.

All 197 parties in the United Nations Framework Convention on Climate Change have agreed to be part of the Paris Agreement in some way. (1) _________. Typically, parties would sign the agreement, and then each country's governing body, such as parliament, would vote to ratify it, making an official agreement to participate. (2)__________. So far, 189 countries have completed this process; 6 have signed, but not ratified, it; and 2 have ratified

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Class 12th Dual Nature of Radiation and Matter

Contributor-Level 10

The preceding lines before the last blank clearly mentions that the U.S. withdrew its membership. The word 'recommitted' makes it evident that the given sentence will come in the 4^th blank.

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10 months ago

The temperature of an ideal gas in 3-dimensions is 300K. The corresponding de-Broglie wavelength of the electron approximately at 300 K, is:

[m_e = mass of electron = 9 * 10^-³¹kg

h = Planck constant = 6.6 * 10^-³⁴ Js

k_B = Boltzmann constant = 1.38 * 10^-²³ JK^-¹]

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Contributor-Level 10

De Broglie wavelength

$λ = \frac{h}{m V} = \frac{h}{\sqrt[]{2 m E}} E \to K . E .$

$E = \frac{3}{2}$ KT for gas

$S o λ = \frac{h}{\sqrt[]{3 m K T}} = \frac{6.6 * 1 0^{- 34}}{\sqrt[]{3 * 9 * 1 0^{- 31} * 1.38 * 1 0^{- 23} * 300}}$

$\begin{array}{l} λ = 6.26 * 1 0^{- 9} m \\ λ = 6.26 n m \end{array}$

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10 months ago

Four jumbled up sentences, related to a topic, are given below. Three of them can be put together to form a coherent paragraph. Identify the odd one out.

1. The genesis of Dogecoin in December 2013 lies in the sarcastic approach of the founders, Jackson Palmer and Billy Markus to create a payment system based on a joke, making fun of the wild speculation in cryptocurrencies at the time. It all started with a tweet from Palmer, a software engineer of good standing in 2013.

2. Palmer was later joined by another innovator Billy Markus who was working with IBM.

3. They both founded Dogecoin. Whether it remains a sarcastic meme coin or not,

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