List of practice Questions

A $ 1000\, kHz $ carrier wave is modulated by an audio signal of frequency range $ 600-6000 \,Hz $ . What is the bandwidth of the channel?

Which among the following conformations is the most stable for cyclohexane?

When a light ray enters from oil to glass on oil glass interface. Velocity of light changes by a factor of: \(\left(\mu_{oil}=2,\,\mu_{glass}=\frac{3}{2}\right)\)

The radius of a calcium ion is 94 pm and of the oxide ion is 146 pm. The possible crystal structure of calcium oxide will be

The dimensional formula of coefficient of viscosity can be expressed as $ M^a\, L^bT^c $ . What are the values of $ a $ , $ b $ and $ c $ .

Find the distance between two consecutive nodes if a string has tension 0.25 N, mass per unit length is 1 mg/m and frequency is 250 Hz.

Out of soft iron and steel which has more coercivity, less retentivity.

A compressive force is applied to a uniform rod of rectangular cross-section so that its length decreases by 1%. If the Poisson?s ratio for the material of the rod be 0.2, which of the following statements is correct ? "The volume approximately ....."

Assume that the earth moves around the sun in a circular orbit of radius R and there exists a planet which also moves around the sun in circular orbit with an angular speed twice as large as that of the earth. The radius of the orbit of the planet is

The magnifying power of a telescope is nine. When it is adjusted for parallel rays, the distance between the objective and eyepiece is $20 \,cm$. The focal length of objective and eyepiece are respectively

A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even. The probability that it is actually even is

If cos x = |sin x| then, the general solution is

If $A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$, then the number of onto functions from A to B is

$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$ =

If $| 3x -5| \le 2$, then

For a cell involving one electron \(E^\ominus cell=0.59V\) at 298 K, the equilibrium constant for the cell reaction is: [Given that \(\frac{ 2.303 RT }{F}\) \(=0.059 V\) at\( T 298 K \)] 

For an ideal solution, the correct option is:

The major product of the following reaction is:

Which of the following is incorrect statement?

Among the following, the narrow spectrum antibiotic is:

A block of mass \(10 kg\) is in contact against the inner wall of a hollow cylindrical drum of radius \( 1 m.\) The coefficient of friction between the block and the inner wall of the cylinder is \( 0.1\). The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be: (\(g=10 \frac{m}{s^2}\)

A body weighs 200 N on the surface of the earth. How much will it weigh half way down to the centre of the earth?

A copper rod of \(88 cm \) and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is: (\(\alpha_{cu}-1.7\times 10^{-5}K^{-1} \)and \(\alpha_{Al}=2.2×10^{-5}K^{-1}\)) 

In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?