JEE Advanced Test- 16 - JEE MCQ

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?