The escape velocity of an object from the surface of the earth is 11.6km/s. if the mass of the earth is increased four times, the resultant escape velocity would be-

Escape velocity is calculated using the formula v = sqrt(2GM/R). If the mass (M) of the Earth increases four times while the radius (R) remains constant, the new escape velocity becomes sqrt(4) times the original, which is 2 times the original velocity. Although the question uses 11.6 km/s as a base, the standard value is 11.2 km/s, and the correct logic is doubling that value.