Question Paper (Section wise)

A positive point charge is released from rest at a distance r₀ from a positive line charge with uniform density. The speed (V) of the point charge, as a function of instantaneous distance r from line charge, it proportional to

The given diagram shows four processes i.e., isochoric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by:

In the figure shown, what is the current (in Ampere) drawn from the battery? You are given R₁ = 15Ω, R₂ = 10 Ω, R₃ = 20Ω, R₄ = 5Ω, R₅ = 25Ω, R₆ = 30Ω, E = 15V

A nucleus A, with a finite de – broglie wavelength λ_A, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, while C flies in the opposite direction with a velocity equal to half of that of B. The de – Broglie wavelength λ_B and λ_C of B and C are respectively:

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut off, the coordinates of the centre of mass of the remaining portion will be:

A rocket has to be launched from each in such a way that it never returns. If E is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have if the same rocket is to be launched form the surface of the moon? Assume that the density of the earth and the moon are equal and that the earth’s volume is 64 times the volume of the moon.

A circuit connected to an as source of emf e = e₀ sin (1000t) with t in seconds, gives a phase difference of  between the emf e and current i. Which of the following circuits will exhibit this?

Calculated the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star.

The very long, straight and insulated are kept at 90° angle from each other In xy – plane as shown in the figure.

These wires cary currently of equal magnitude I, whose directions are shown in the figure. The met magneti field at point P will be:

Fructose and glucose can be distinguished by:

Which one of the following alkenes when treated with HCl yields majorly an anti Markovnikov product?

Consider the bcc unit cells of the solid 1 and 2 with the position of atoms as shown below. The radius of atom B is twice of atom A. The unit cell edge length is 50% more in solid 2 than in 1. What is the approximate packing efficency in solid 2?

The strength of 11.2 volume solution of H₂O₂ is: [ Given that molar mass of H = 1 g mol^-1 and O = 16 g mol^-1 ]

The maximum prescribed concentration of copper in drinking water is:

The correct statement about lCl₅ and  is:

Polysubsititution is a major drawback in:

For the solution of the gases w, x, y and z in water at 298 K, the Henrys law constants (K_H) are 0.5, 2 35 and 40 kbar, respectively. The correct plot for the given data is:

The compound that inhibits the growth of tumors is:

The tangent and the normal lines at the point (, 1)to the circle x²+ y²= 4 and the x – axis form a triangle. The area of this triangle (in square units) is:

Let , for some real x. Then  is possible if:

Let f: R → R be a differentiable function satisfying

f’(3) + f’(2) = 0. Then  is equal to:

If three distinct numbers a, b, c are in G.P. and the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root, then which one of the following statements is correct?

The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is:

Let the numbers 2, b, c be in an A.P and

If det (A) ∊ [2, 16] then c lies in the interval:

If  where C is a constant of integration, then the function f(x) is equal to:

Two vertical poles of heights, 20 m and 80m stand apart on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from the horizontal plane is: