JEE Advanced Mi...

A steady current I goes through a wire loop PQR having shape of a right-angled triangle with PQ = 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is  find the value of k.

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s^-2.)

The magnitude (in Newton) of the normal reaction that acts on the block at the point Q is N. Find the value of 2N.

A point object is placed in front of a thin biconvex lens, of focal length 20 cm. When placed in air, the refractive index of material of lens is 1.5 The further surface of the lens is silvered and is having radius of curvature of 25 cm. The position of final image of object is at 25/x cm from lens. Determine the value of x?

Illuminate the surface of a certain metal alternately with wave length λ₁ = 0.35 μm and λ₂ = 0.54 μm. It is found that the corresponding maximum velocity is of photo electron having a ratio n = 2. Find the work function of that metal (in eV).

(Round off up to 2 decimal places)

EDTA^4– is ethylenediaminetetraacetate ion. What is the total number of N – Co – O bond angles in [Co(EDTA)]1– complex ion?

The value of log10 K for a reaction A ⇌ B is (Given Δ_r = -54.07 kJ mol^-1, Δr = 10JK^-1mol^-1 and R = 8.314JK^-1mol^-1; 2.303 x 8.314 x 298 = 5705)

The number of paired electrons in O₂ molecule is

A bag contains n white and n black balls (all different). Pairs of balls are drawn one-by-one without replacement until the bag is empty. If the number of ways to draw the balls in which each pair consists of one black and one white ball is 576, then the value of n is equal to__