GATE IN 2026 Question Paper (07-Feb-2026) (Shift-1)

The emitted radiant energy from a piece of metal was measured using a pyrometer. The temperature was calculated to be $1000{}^{\circ }\text{C}$, assuming a surface emissivity of $0.8$. It was later found that the true surface emissivity was $0.7$.

The actual temperature of the object is nearest to ______ ${}^{\circ }\text{C}$.

An amplitude modulated voltage signal $x(t)$ drives a load of $1\Omega$.
$$x(t)=K\cos (300\pi t)+L\cos (240\pi t)+L\cos (360\pi t).$$
If the efficiency is $60\%$, and the carrier power is $50\text{ W}$, the value of $L$ is ______ V.

Given $f(x,y)=x^2-2xy+y^2$

The complete contour of the equation $f(x,y)=1$ is described by the option(s) ___.

Given a differential equation $\frac{d^{2}x}{d{t}^2}+x=0$ with $x(0)\ne 0$.

Which of the following statements is/are true?

Which of the following functions represent(s) the output of the CMOS logic-gate shown in the circuit below?