JEE Advanced Mi...

A block of mass √3/10 kg is placed on a rough horizontal surface as shown in the figure.

A force of 1 N is applied at one end of the block, and the block remains stationary. The normal force exerted by the surface on block acts through (g = 10 m/s²)

Three resistances each of 4 Ω are connected to form a triangle. The resistance between any two terminals is

A ray of light is incident on the interface between water and glass at an angle i and refracted parallel at the water surface, then value of μ_g will be

The compounds formed from P and Q respectively are:

1 mole of an ideal gas A(C_{v, m} = 3R) and 2 moles of an ideal gas B are (C_v,m = 3/2 R) taken in a container and expanded reversible and adiabatically from 1 liter to 4 liters starting from initial temperature of 320 K. ΔE or ΔU For the process is :

During the process of electrolytic refining of copper, some metals present as impurity settle as 'anode mud'. These are

f(x), g(x) and h(x) are all continuous and differentiable functions in [a, b], a < c < b and f(a) = g(a) = h(a). Point of intersection of the tangent at x = c with chord joining x = a and x = b is on the left of c in y = f(x), on the right in y = h(x) and tangent at x = c is parallel to the chord in the case of y = g(x).

If f’(x) > g’(x) > h’(x)

A point P moves such that the tangents PT₁ and PT₂ from it to the hyperbola 4x² − 9y² = 36 are mutually perpendicular. Then the equation of the locus of P is

The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p₁, p₂ are the lengths of the perpendiculars drawn from the foci on the normal at P, then