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phy | JEE Adv 2023 Paper 2 | A | 19 | MCQ | Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and the speed of light $c$, as $Y=c^{\alpha} h^{\beta} G^{\gamma}$. Which of the following is the correct option?
(A) $\alpha=7, \beta=-1, \gamma=-2$
(B) $\alpha=-7, \... |
phy | JEE Adv 2023 Paper 2 | A | 20 | MCQ | A particle of mass $m$ is moving in the $x y$-plane such that its velocity at a point $(x, y)$ is given as $\overrightarrow{\mathrm{v}}=\alpha(y \hat{x}+2 x \hat{y})$, where $\alpha$ is a non-zero constant. What is the force $\vec{F}$ acting on the particle?
(A) $\vec{F}=2 m \alpha^{2}(x \hat{x}+y \hat{y})$
(B) $... |
phy | JEE Adv 2023 Paper 2 | C | 21 | MCQ | An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is $n$. The internal energy of one mole of the gas is $U_{n}$ and the speed of sound in the gas is $\mathrm{v}_{n}$. At a fixed temperature and pressure, which of the following is the correct option?
(A) $v_{3}<v_... |
phy | JEE Adv 2023 Paper 2 | AD | 24 | MCQ(multiple) | The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by $\vec{E}=30(2 \hat{x}+\hat{y}) \sin \left[2 \pi\left(5 \times 10^{14} t-\frac{10^{7}}{3} z\right)\right] \mathrm{Vm}^{-1}$. Which of the following option(s) is(are) correct?
[Given: The speed of light in vacuum,... |
phy | JEE Adv 2023 Paper 2 | 5 | 27 | Integer | A string of length $1 \mathrm{~m}$ and mass $2 \times 10^{-5} \mathrm{~kg}$ is under tension $T$. When the string vibrates, two successive harmonics are found to occur at frequencies $750 \mathrm{~Hz}$ and $1000 \mathrm{~Hz}$. What is the value of tension $T$ in Newton? |
phy | JEE Adv 2023 Paper 2 | 16 | 29 | Integer | In a radioactive decay process, the activity is defined as $A=-\frac{d N}{d t}$, where $N(t)$ is the number of radioactive nuclei at time $t$. Two radioactive sources, $S_{1}$ and $S_{2}$ have same activity at time $t=0$. At a later time, the activities of $S_{1}$ and $S_{2}$ are $A_{1}$ and $A_{2}$, respectively. When... |
chem | JEE Adv 2023 Paper 2 | A | 36 | MCQ | Consider the following statements related to colloids.
(I) Lyophobic colloids are not formed by simple mixing of dispersed phase and dispersion medium.
(II) For emulsions, both the dispersed phase and the dispersion medium are liquid.
(III) Micelles are produced by dissolving a surfactant in any solvent at any... |
chem | JEE Adv 2023 Paper 2 | CD | 39 | MCQ(multiple) | The complex(es), which can exhibit the type of isomerism shown by [ $\left.\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Br}_{2}\right]$, is(are) [en $=\mathrm{H}_{2} \mathrm{NCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}$ ]
(A) $\left[\operatorname{Pt}(\mathrm{en})(\mathrm{SCN})_{2}\right]$
(B) $\left[\mathrm{Zn... |
chem | JEE Adv 2023 Paper 2 | ABD | 40 | MCQ(multiple) | Atoms of metals $\mathrm{x}, \mathrm{y}$, and $\mathrm{z}$ form face-centred cubic (fcc) unit cell of edge length $\mathrm{L}_{\mathrm{x}}$, body-centred cubic (bcc) unit cell of edge length $\mathrm{L}_{\mathrm{y}}$, and simple cubic unit cell of edge length $\mathrm{L}_{\mathrm{z}}$, respectively.
If $\mathrm{r}_{... |
chem | JEE Adv 2023 Paper 2 | 18 | 42 | Integer | $\quad \mathrm{H}_{2} \mathrm{~S}$ (5 moles) reacts completely with acidified aqueous potassium permanganate solution. In this reaction, the number of moles of water produced is $\mathbf{x}$, and the number of moles of electrons involved is $\mathbf{y}$. The value of $(\mathbf{x}+\mathbf{y})$ is |
chem | JEE Adv 2023 Paper 2 | 5 | 43 | Integer | Among $\left[\mathrm{I}_{3}\right]^{+},\left[\mathrm{SiO}_{4}\right]^{4-}, \mathrm{SO}_{2} \mathrm{Cl}_{2}, \mathrm{XeF}_{2}, \mathrm{SF}_{4}, \mathrm{ClF}_{3}, \mathrm{Ni}(\mathrm{CO})_{4}, \mathrm{XeO}_{2} \mathrm{~F}_{2},\left[\mathrm{PtCl}_{4}\right]^{2-}, \mathrm{XeF}_{4}$, and $\mathrm{SOCl}_{2}$, what is the tot... |
chem | JEE Adv 2023 Paper 2 | 6 | 44 | Integer | Consider the following molecules: $\mathrm{Br}_{3} \mathrm{O}_{8}, \mathrm{~F}_{2} \mathrm{O}, \mathrm{H}_{2} \mathrm{~S}_{4} \mathrm{O}_{6}, \mathrm{H}_{2} \mathrm{~S}_{5} \mathrm{O}_{6}$, and $\mathrm{C}_{3} \mathrm{O}_{2}$.
Count the number of atoms existing in their zero oxidation state in each molecule. What is... |
chem | JEE Adv 2023 Paper 2 | 682 | 46 | Integer | $50 \mathrm{~mL}$ of 0.2 molal urea solution (density $=1.012 \mathrm{~g} \mathrm{~mL}^{-1}$ at $300 \mathrm{~K}$ ) is mixed with $250 \mathrm{~mL}$ of a solution containing $0.06 \mathrm{~g}$ of urea. Both the solutions were prepared in the same solvent. What is the osmotic pressure (in Torr) of the resulting solution... |
chem | JEE Adv 2023 Paper 2 | 9 | 50 | Numeric | A trinitro compound, 1,3,5-tris-(4-nitrophenyl)benzene, on complete reaction with an excess of $\mathrm{Sn} / \mathrm{HCl}$ gives a major product, which on treatment with an excess of $\mathrm{NaNO}_{2} / \mathrm{HCl}$ at $0{ }^{\circ} \mathrm{C}$ provides $\mathbf{P}$ as the product. $\mathbf{P}$, upon treatment with ... |
chem | JEE Adv 2023 Paper 2 | 51 | 51 | Numeric | A trinitro compound, 1,3,5-tris-(4-nitrophenyl)benzene, on complete reaction with an excess of $\mathrm{Sn} / \mathrm{HCl}$ gives a major product, which on treatment with an excess of $\mathrm{NaNO}_{2} / \mathrm{HCl}$ at $0{ }^{\circ} \mathrm{C}$ provides $\mathbf{P}$ as the product. $\mathbf{P}$, upon treatment with ... |
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Chem Questions Involving Calculation
This query retrieves questions related to performing calculations within chemistry, helping to identify specific topics in the dataset but providing limited analytical context.
Questions with "Calculate"
The query retrieves a sample of 100 questions containing the word "calculate," providing a basic filter but limited analytical context.