GATE EE 2014 Question Paper (01-Mar-2014) (Shift 2)

let g(x) be a function defined by g(x) = x - [x], where [x] represents the integer part of x. (That is, it is the largest integer which is less than or equal to x). The value of the constant term in the Fourier series expansion of g(x) is ______.

A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $\left(n-3\right)$ is

The line integral of function $F=yz\hat{i}$, in the counter clock wise direction, along the circle $x^2+y^2=1$ at $z=1$ is

An incandescent lamp is marked 40 W, 240 V. If resistance at room temperature (26°C) is 120 Ω, and temperature coefficient of resistance is 4.5x10⁻³/°C, then its ‘ON’ state filament temperature in °C is approximately ____

In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is _______