List of top Questions asked in MET- 2008

If $f: R \to R$ is defined by $f(x) = 3x - 4$, then $f^{-1(x)$ is:

The distance of the point $(1, 2, 3)$ from the plane $x + 2y + 2z + 5 = 0$ is:

The probability of getting a sum of 10 with two dice is:

If $A$ is a square matrix of order 3 and $|A| = 5$, then $|adj A|$ is:

The equation of the line passing through the point $(1, 2)$ and perpendicular to the line $x + y + 1 = 0$ is:

The area bounded by the curve $y = \sin x$ between $x = 0$ and $x = \pi$ is:

The maximum value of $f(x) = \frac{\log x{x}$ occurs at $x = $:

The value of $k$ for which the system of equations $x+ky=0, 2x-y=0$ has a unique solution is:

The equation of the circle passing through $(4, 5)$ and having the center at $(2, 2)$ is:

The number of solutions of $\tan x + \sec x = 2 \cos x$ in the interval $[0, 2\pi]$ is:

Which of the following is not an electromagnetic wave?

The escape velocity of a body from the surface of the earth is 11.2 km/s. If a body is projected with a velocity twice the escape velocity, then the velocity of the body far away from the earth will be:

A copper wire and a steel wire of same length and same cross-section are joined end to end to form a composite wire. The composite wire is stretched by a force. The ratio of elongation in copper to steel is ($Y_{steel} = 2 \times 10^{11} \text{ Pa}, Y_{copper} = 1.1 \times 10^{11} \text{ Pa}$):

The focal length of a convex lens is minimum for:

If the temperature of a hot body is increased by 50%, the amount of radiation emitted by it increases by approximately:

A source of frequency 500 Hz emits waves of wavelength 0.4 m. How long does it take the wave to travel 600 m?

The dimensional formula for Impulse is same as that of:

The magnetic field at the center of a circular current-carrying loop of radius $R$ is $B$. The field at a point on the axis at a distance $R$ from the center is:

A wire of resistance $R$ is stretched to double its length. Its new resistance will be:

A convex lens of focal length 20 cm is in contact with a concave lens of focal length 40 cm. The power of the combination is:

The rainbow is formed due to:

The capacitance of a parallel plate capacitor does not depend on:

Two stars emit maximum radiation at wavelength 3600 and 4800 respectively. The ratio of their temperatures is:

Which of the following is a longitudinal wave?

The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become: