Class 11th

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Except Te, all are metals.

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Which of the following statements are correct?

(A) Both LiCl and MgCl₂ are soluble in ethanol

(B) The oxides Li₂O and MgO combine with excess of oxygen to give superoxide.

(C) LiF is less soluble in water than other alkali metal fluorides.

(D) Li₂O is more soluble in water than other alkali metal oxides.

Choose the most appropriate answer from the options given below :

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Contributor-Level 10

Due to higher extent of polarization by Li⁺ and Mg²⁺, LiCl and Mgcl₂ have covalent character. Therefore they are soluble in ethanol.

Due to very high value of lattice energy, LiF is having very less solubility in water.

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The highest industrial consumption of molecular hydrogen is to produce compounds of element :

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The highest industrial consumption of hydrogen gas is in the synthesis of ammonia gas (Having manufacturing of N-based fertizers)

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The highest industrial consumption of molecular hydrogen is to produce compounds of element :

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The highest industrial consumption of hydrogen gas is in the synthesis of ammonia gas (Having manufacturing of N-based fertizers)

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Class 11th Gravitation

A planet is revolving around the sun in an elliptical orbit. The mass of planet is m, angular momentum of planet about sun is $L$ , and length of semi major axis is a and eccentricity is $e$ . Time period of revolution of planet is given by

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On complete combustion of 0.492g of an organic compound containing C, H and O, 0.7938 g of CO₂ and 0.4428 g of H₂O was produced. The % composition of oxygen in the compounds is____________.

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% of C in organic compound

$= \frac{12}{14} * \frac{W C O_{2}}{W . O . C .} * 100$

$= \frac{952.56}{21.648} = 44 %$

$% o f H = \frac{2}{18} * \frac{W H_{2} O}{W . O . C .} * 100$

= $\frac{20}{18} * \frac{0.4428}{0.492} * 100$

= $\frac{88.56}{8.856} = 10 %$

= 100 – 54 = 46%

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The number of radial land angular nodes in 4d orbital are, respectively

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Class 11th Units and Measurement

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In 4d orbital, n = 4 and $l = 2$

Radial nodes = $n - l - 1$

Radial nodes = 4 – 2 – 1 = 1

And angular nodes, $l = 2$

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In an experiment to determine the Young's modulus of wire of a length exactly 1m, the extension in the length of the wire is measured as 0.4mm with an uncertainty of $\pm$ 0.02mm when a load of 1kg is applied. The diameter of the wire is measured as 0.4mm with an uncertainty of $\pm$ 0.02mm. The error in the measurement of Young's modulus $(Δ Y)$ is found to be x * 10¹⁰Nm^-2. The value of x is _________.

(take g = 10 ms^-2)

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Class 11th Physics System of Particles and Rotational Motion

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L = 1 m

$Δ L = 0.4 * 1 0^{- 3} m$

$m = 1 k g$

d = 0.4 * 103 m

$\frac{F}{A} = y \frac{Δ L}{L}$

$y = \frac{F L}{A Δ L} = \frac{(m g) * 1}{(\frac{π d^{2}}{4}) * 0.4 * 1 0^{- 3}}$

$Δ y = 0.1 * 0.199 * 1 0^{12} = 1.99 * 1 0^{10}$

= 1.99

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A disc of mass 1kg and radius R is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the disc. Now the system is released, when the body comes to the lowest position, its angular speed will be $\sqrt[]{\frac{x}{3 R} r a d s^{- 1}}$ where x = __________.

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Contributor-Level 10

Loss in P.E. = Gain in k.E

2 mg R = $\frac{1}{2} (\frac{1}{2} m R^{2} + m R^{2}) ω^{2}$

$ω = \sqrt[]{\frac{8 g}{3 R}} = 4 \sqrt[]{\frac{g}{2 * 3 R}}$

$x = \frac{g}{2} = 5$

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Class 11th Physics

If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is y = 5x(1 – x). The y component vector of the initial velocity is ________ $\hat{j}$ .

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