The ratio of magnitude of potential energy and kinetic energy for \(5^{th}\) excited state of hydrogen atom is
Correct Answer: 2
Solution and Explanation
Top Questions on Hydrogen
- For hydrogen-like species, which of the following graphs provides the most appropriate representation of \( E \) vs \( Z \) plot for a constant \( n \)?
Consider the following data:
- Heat of formation of \( CO_2(g) \) = -393.5 kJ mol\(^{-1}\)
- Heat of formation of \( H_2O(l) \) = -286.0 kJ mol\(^{-1}\)
- Heat of combustion of benzene = -3267.0 kJ mol\(^{-1}\)
The heat of formation of benzene is ……… kJ mol\(^{-1}\) (Nearest integer).Which of the following is/are correct with respect to the energy of atomic orbitals of a hydrogen atom?
(A) \( 1s<2s<2p<3d<4s \)
(B) \( 1s<2s = 2p<3s = 3p \)
(C) \( 1s<2s<2p<3s<3p \)
(D) \( 1s<2s<4s<3d \)
Choose the correct answer from the options given below:An ideal gas undergoes a cyclic transformation starting from point A and coming back to the same point by tracing the path A→B→C→D→A as shown in the three cases below.
Choose the correct option regarding \(\Delta U\):- Zinc metal reacts with dilute nitric acid to liberate gas :
Questions Asked in JEE Main exam
The remainder when \( 64^{64} \) is divided by 7 is equal to:
- JEE Main - 2025
- Arithmetic Progression
- The sum of the infinite series $ \cot^{-1} \left( \frac{7}{4} \right) + \cot^{-1} \left( \frac{19}{4} \right) + \cot^{-1} \left( \frac{39}{4} \right) + \cot^{-1} \left( \frac{67}{4} \right) + ... $ is:
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- Sequence and series
- If $ \alpha $ is a root of the equation $ x^2 + x + 1 = 0 $ and $$ \sum_{k=1}^{n} \left( \alpha^k + \frac{1}{\alpha^k} \right)^2 = 20$$, then n is equal to _______
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- Sequence and series
x mg of Mg(OH)$_2$ (molar mass = 58) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is ____ mg. (Nearest integer) (Given: Mg(OH)$_2$ is assumed to dissociate completely in H$_2$O)
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- Equilibrium
- The amount of calcium oxide produced on heating 150 kg limestone (75% pure) is _______ kg. (Nearest integer)
Given: Molar mass (in g mol$^{-1}$) of Ca-40, O-16, C-12- JEE Main - 2025
- Stoichiometry and Stoichiometric Calculations
Concepts Used:
Hydrogen
Hydrogen is the most abundant element in the universe, constituting approximately 75% of its elemental mass. It is a colorless, odorless, and tasteless gas that exists in a diatomic form (H2) at standard conditions. Hydrogen has the atomic number 1, which means it has only one proton in its nucleus, making it the simplest and lightest element.
Hydrogen has a wide range of applications, including fuel for transportation, power generation, and heating. It can be produced from various sources, such as fossil fuels, biomass, and water. The most common methods of producing hydrogen are steam methane reforming and electrolysis.
In addition to its use as a fuel, hydrogen is also used in the chemical industry to produce ammonia, methanol, and other chemicals. It is also used in the production of electronics, such as microchips, flat-screen displays, and semiconductors.
Read Also: Preparation of Hydrogen and its uses
Hydrogen has unique properties that make it a promising energy carrier for a sustainable future. When burned in air or used in a fuel cell, it produces only water, making it a clean and renewable energy source. However, the high cost of producing and storing hydrogen, as well as the lack of infrastructure, remain significant challenges to its widespread adoption. Nonetheless, ongoing research and development efforts aim to overcome these challenges and harness the potential of hydrogen as a key element in a low-carbon energy system.