In the situation shown, slab is close to the lens. The distance (in cm) between the lens & the mirror so that final image of object is formed on object itself may be :-

In a region of uniform electric field, the work done by an external agent in moving a negative charge from A to B in the figure shown will be :-

In a potentiometer, there are 10 identical cells (E, r-each) arranged in series in primary circuit. A cell of emf E₀ and internal resistance r₀ is balanced at ℓ₁ length of the potentiometer wire. Now, the polarity of two cells is reversed in primary circuit. The same cell of emf E₀ now gets balanced at ℓ₂ then ℓ₁/ℓ₂ is :-

In the circuit shown the potential difference between A and B is

Current I is flowing along the path ABCDA consisting of four edges of a cube (figure-a), produces a magnetic field B₀ at the centre of the cube. Find the magnetic field B produced at the center of the cube by current I flowing along the path of the six edges ABCGHEA (figure-b)

A particle of charge q & mass m is projected in x-y plane in region containing magnetic fields as shown with velocity (vi + vĵ)m/s from origin (given that d = mV / qB). Find the coordinate where particle crosses the y-axis again.

A conducting rod PQ of l = 5m oriented as shown is moving with V = (2m/s) î without any rotation in a uniform magnetic field (3ĵ + 4k) Tesla. Emf induced in the rod is

Consider an ideal inductor and a resistor connected to an ac source as shown. The phasor diagram of the circuit is best represented by (L = 2/π mH, R = 0.15 Ω)

A solid uniform ball of volume V floats on the interface of two immiscible liquids (figure). The specific gravity of the upper liquid is ρ₁ and that of lower one is ρ₂ and the specific gravity of ball is ρ(ρ₁< ρ < ρ₂). The fraction of the volume of the ball in the upper liquid is :

Three slabs of equal area and thickness are arranged as shown in the figure. Find the value of T₁ and T₂ in steady state :-