JEE Main Test 1...

The turn ratio of a transformer is 1 : 2. An electrolytic DC cell of emf 2 V is connected to its primary. The output voltage across transformer is

A boat is moving due East in a region where the earth's magnetic field is 5.0 × 10^-5 NA^-1 m^-1 due North and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is 1.50 ms^-1 , the magnitude of the induced emf in the wire of aerial is

The angle between the lines √3x - y - 2 = 0 and x - √3y + 1 = 0 is

A solenoid 60 mm long has 50 turns on it and is wound on an iron rod of 7.5 mm radius. Find the flux through the solenoid when the current in it, is 3A. The relative permeability of iron is 600.

The electric field of an electromagnetic wave travelling through vacuum is given by the equation E = E₀ sin (kx - ωt). The quantity that is independent of wavelength is

In order to increase the volume of a gas by 10%, the pressure of the gas should be

If the two circles x² + 2y² - 2x + 22y + 5 = 0 and x² + y² + 14x + 6y + k = 0 intersect orthogonally, then k is equal to

Light from two coherent sources of the same amplitude A and wavelength λ, illuminates the screen. The intensity of the central maximum is I₀. If the sources were incoherent, the intensity at the same point will be