List of practice Questions

Write the name of the metal nanoparticle used to remove E. coli bacteria from water.

A charge $ Q $ is distributed over two concentric hollow spheres of radii $ r $ and $ R $ ($ R>r $) such that their surface charge densities are equal. Find the electric potential at their common center.

A vehicle with a wheel arrangement is shown in Figure (i). This vehicle is travelling along a circular path as shown in Figure (ii). The wheels do not change their orientation while moving along the circular path. Figure (iii) shows the location of the centres of the wheels. The distance between the centres of Wheel-3 and Wheel-2 is 170 cm, and the distance between the centres of Wheel-1 and Wheel-2 is 180 cm. The radius of the circular path followed by Wheel-2 is 525 cm. What is the radius of the path followed by Wheel-1 in cm?

A dinner plate was broken into six pieces. Five of the pieces are indicated in Figure A. Find out the missing piece from the options given below.

Describe Douglas's struggle at the pool. What did he do to save his life?

$\frac {140}{210}$ is a

When I look at my past, I often regret of my past decisions?

Write the classification of proteins with an example.

Prove Mayer's relation: $ C_p - C_v = \frac{R}{J} $

46 g ethanol is dissolved in 54 g water. Calculate mole fraction of ethanol and water.

Evaluate: \[ I = \int \frac{5e^x}{(e^x + 1)(e^{2x} + 9)} \, dx. \]

In a certain code, STOVE is written as FNBLK. Then how will VOTES be written in the same code?

Let $ x \text{ and } y $ be two positive real numbers. Then
\[ \left( x + \frac{1}{x} \right) \left( y + \frac{1}{y} \right) \] is greater than or equal to:

A cat climbs a 21-meter pole. In the first minute it climbs 3 meters and in the second minute it descends one meter. In how many minutes will the cat reach the top of the pole?

The type of processes represented by the curves X and Y are: