Part Test - 16 (JEE Advanced)

A ring of radius R with four metalic wire connected as shown is rolling without sliding on a horizontal surface with a velocity of centre of mass v and angular velocity ω, in a uniform magnetic field B which is perpendicular to the plane of disc as shown in figure. O is the centre of disc and P, Q, R & S are the four points on disc.

A prism of a certain angle deviates the red and blue rays by 8°and 12° respectively. Another prism of the same angle deviates the red and blue rays by 10° and 14° respectively. The prisms are small angled and made of different materials. The dispersive powers of the materials of the prisms are in the ratio

A radio active substance contains 10,000 nuclei and its half life period is 20 days. The number of nuclei present at the end of 10 days is

A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial position with respect to the table, the ball _____.

(a) remains stationary if there is no friction between the paper and the ball.

(b) moves to the left and starts rolling backwards, i.e. to the left if there is a friction between the paper and the ball.

(c) moves forward, i.e. in the direction in which the paper is pulled.

Here, the correct statement/s is/are _____ .

A body float on water and also on an oil of density 1.25. Which of the following is/are true ? 

Two waves are represented by the equations y₁ = asin(wt + kx + 0.57)m and y2 = acos(wt + kx)m, where x is in meter and t in s. The phase difference between them is

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m /s², the range of the missile is

In the circuit shown, both batteries are ideal. EMF E₁ of battery 1 has a fixed value, but emf E₂ of battery 2 can be varied between 1 V and 10 V. The graph gives the currents through the two batteries as a function of E₂, but are not marked as which plot corresponds to which battery. But for both plots, current is assumed to be negative when the direction of the current through the battery is opposite the direction of that battery's emf. (direction from negative to positive)

Q. The value of emf E₁ is

A and B are two infinitely long straight parallel conductors. C is another straight conductor of length 1 m kept parallel to A and B as shown in the figure. Then the force experienced by C is

A mirror is mounted on a stand as shown. The mirror has negligible mass. On the other side, massless arrow is mounted. The natural length of the spring is 1m. The whole system is on frictionless surface. The two bodies are pulled out such that spring is extended by 10 cm and released.

Q. What is the minimum distance between arrow and its image during subsequent motion ?

A mirror is mounted on a stand as shown. The mirror has negligible mass. On the other side, massless arrow is mounted. The natural length of the spring is 1m. The whole system is on frictionless surface. The two bodies are pulled out such that spring is extended by 10 cm and released.

Q. What is the maximum velocity of the image of the arrow as seen by a person on the ground ?

In the Wheatstone's network given below, P = 10 W, Q = 20W,  R = 15 W, S = 30W The current passing through the battery (of negligible internal resistance) is

The current passing through the ideal ammeter in the circuit given below is

Arrange the following electromagnetic radiations per quantum in the order of increasing energy: 

A : Blue light
B : Yellow light
C : X-ray
D : Radiowave

Out of the following options which one can be used to produce a propagating electromagnetic wave? 

The electric and magnetic field of an electromagnetic wave are

Vapour pressure of pure ‘A’ is 70 mm of Hg at 25 °C. It forms an ideal solution with ‘B’ in which mole fraction of A is 0.8. lf the vapour pressure of the solution is 84 mm of Hg at 25 °C, the vapour pressure of pure ‘B’ at 25 °C is

Select correct statement(s)?

Which of the following increase(s) the activation of a solid adsorbent ?

When compared to DG⁰ for the formation of Al₂O₃ , the AG⁰ for the formation of Cr₂O₃ is

Carbon monooxide is

Which of the following is/are endothermic reactions ?

Which of the following are correct order of basic strength ?

Which of the following is correct related to I and II ?

When conc. H₂SO₄ is heated with P₂ 0₅ , the acid is converted into

In Dumas’ method of estimation of nitrogen 0.35 g of an organic compound gave 55 mL of nitrogen collected at 300 K temperature and 715 mm pressure. The percentage composition of nitrogen in the compound would be

(Aqueous tension at 300 K = 15 mm)

In which one of the following, does the given amount of chlorine exert the least pressure in a vessel of capacity 1 dm³ at 273K?

Enthalpy of vapourization of benzene is +35.3 kJ mol^–1 at its boiling point of 80°C.

The entropy change in the transition of the vapour to liquid at its boiling point

[in JK^–1 mol^–1] is ______.

One mole of which of the following has the highest entropy?

Number of isomeric forms (constitutional and sterioisomers) for 
[Rh(en)₂(NO₂)(SCN)]⁺ are

One gram of silver gets distributed between 10 cm³ of molten zinc and 100 cm³ of molten lead at 800°C. The percentage of silver still left in the lead layer is approximately

The activation energy of a reaction at a given temperature is found to be 2.303 RT J mol^–1. The ratio of rate constant to the Arrhenius factor is

By X-ray studies, the packing of atoms in a crystal of gold is found to be in layers such that starting from any layer, every fourth layer is found to be exactly identical. The density of gold is found to be 19.4 g/cm³ and its atomic mass is 197 amu.

The length of the edge of the unit cell will be:

Which of the following elements is present as the impurity to the maximum extent in the pig iron?

Three moles of PCl₅, three moles of PCI₃ and two moles of Clz are taken in a closed vessel. If at equilibrium the vessel has 1.5 moles of PCl₅, the number of moles of PCl₃ present in it is

Vapour pressure of pure ‘A’ is 70 mm of Hg at 25 °C. It forms an ideal solution with ‘B’ in which mole fraction of A is 0.8. lf the vapour pressure of the solution is 84 mm of Hg at 25 °C, the vapour pressure of pure ‘B’ at 25 °C is

When compared to DG⁰ for the formation of Al₂O₃ , the AG⁰ for the formation of Cr₂O₃ is

When conc. H₂SO₄ is heated with P₂ 0₅ , the acid is converted into

The differentiation of sinx with respect to cosx is ?

Let there are three points A (0, 4/3) B(–1, 0) and C(1, 0) in x – y plane. The distance from a variable point P to the line BC is the geometic mean of the distances from this point to lines AB and AC then locus of P can be

The number of disulphide linkages present in insulin are

The number of gram molecules of chlorine in 6.02 × 10²⁵ hydrogen chloride molecules is

One mole of an organic compound ‘A’ with the formula C₃H₈O reacts completely with two moles of HI to form X and Y. When ‘Y’ is boiled with aqueous alkali forms Z.Z

answers the iodoform test. The compound ‘A’ is ______.

One dm³ solution containing 10^–5 moles each of Cl^– ions and CrO ions is treated with 10^–4 mole of silver nitrate. Which one of the following observations is made?

[K_SP Ag₂ CrO₄, = 4 X 10^–12]

[K_SP AgCl = 1 x10^–10]

Decreasing order of reactivity of hydrogen halide acids in the conversion of ROH → RX is

The amount of heat evolved when 500 cm³ of 0.1 M HCI is mixed with 200 cm³of 0.2 M NaOH is ______.

Standard electrode potential for Sn⁴⁺ / Sn²⁺ couple is +0.15 V and that for the Cr³⁺ / Cr couple is –0.74 V. These two couples in their standard state are connected to make a cell. The cell potential will be

If one mole of ammonia and one mole of hydrogen chloride are mixed in a closed container to form ammonium chloride gas, then

If n = 6, the correct sequence of filling of electrons will be

The typical range of molar enthalpies for the strongest intermolecular (Hydrogen) bonds is

An organic compound on heating with CuO produces CO₂ but no water. The organic compound may be

The normality of 30 volume H₂O₂ is

An element with atomic number 21 is a

Among the following, the compound that contains ionic, covalent and coordinate linkage is

A white crystalline salt A reacts with dilute HCI to liberate a suffocating gas B and also forms a yellow precipitate. The gas B turns potassium dichromate acidified with dilute H₂SO₄ to a green coloured solution C. A, B and C are respectively ______.

For a chemical reaction A → B, the rate of the reaction is 2 × 10^–3 mol dm^–3 s^–1, when the initial concentration is 0.05 mol dm^–3. The rate of the same reaction is 1.6 × 10^–2 mol dm^–3 s^–1when the initial concentration is 0.1 mol dm^–3. The order of the reaction is

Excess of carbon dioxide is passed through 50 ml of 0.5 M calcium hydroxide solution.  After the completion of the reaction, the solution was evaporated to dryness. The solid calcium carbonate was completely neutralised with 0.1 N Hydrochloric acid. The volume of Hydrochloric acid required is (At. mass of calcium = 40)