Question
 If f(x) is continuous for all real values of
x and f(x) takes on only rational values, then if f(1)=1, the value of f(0) isSolution
Property: - Let f:[0,1]→ R be continuous such that f(x)∈Q for any x∈[0,1] then f (x) is constant. Proof Suppose f isn't constant. Then for some a,b∈[0,1], f(a)≠f(b); Without Loss of Generality, f(a)
The half-life of a radioactive substance is 10 days. The time in which only 1/8th of the original substance remains is:
An image formed by a plane mirror is ______.
From the given options, the speed of sound is highest in which material?
Which law states that the total current entering a junction is equal to the total current leaving the junction?
What type of radiation is produced by a hot object emitting energy? Â
Which instrument is primarily used to measure the relative density of liquids by utilizing the principle of buoyancy?
A 220 V, 100 W bulb is connected to a 110 V source. Calculate the power consumed by the bulb
The electric and magnetic fields of an electromagnetic wave are _____________
Two charges, +3 µC and –3 µC, are placed 1 m apart in vacuum. What is the electrostatic potential energy of the system?
Two wires made of the same material have lengths in the ratio 1:2 and diameters in the ratio 2:1. If the same force is applied to both, what is the rat...
