The \((P\text{-}V)\) diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:
1. | adiabatic | 2. | isochoric |
3. | isobaric | 4. | isothermal |
1. | resistive circuit | 2. | \({LC}\) circuit |
3. | inductive circuit | 4. | capacitive circuit |
For the circuit shown in the figure, the current \(I\) will be:
1. | \(0.75~\text{A}\) | 2. | \(1~\text{A}\) |
3. | \(1.5~\text{A}\) | 4. | \(0.5~\text{A}\) |
An intrinsic semiconductor is converted into an \(\mathrm{n\text{-}}\)type extrinsic semiconductor by doping it with:
1. phosphorous
2. aluminium
3. silver
4. germanium
Time intervals measured by a clock give the following readings:
\(1.25~\text{s},~1.24~\text{s}, ~1.27~\text{s},~1.21~\text{s},~1.28~\text{s}.\)
What is the percentage relative error of the observations?
1. \(2\)%
2. \(4\)%
3. \(16\)%
4. \(1.6\)%
Three identical spheres, each of mass \(M\), are placed at the corners of a right-angle triangle with mutually perpendicular sides equal to \(2~\text{m}\) (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of the centre of mass.
1. \(2(\hat{i}+\hat{j})\)
2. \(\hat{i}+\hat{j}\)
3. \(\frac{2}{3}(\hat{i}+\hat{j})\)
4. \(\frac{4}{3}(\hat{i}+\hat{j})\)
1. | \(\dfrac R {n^2}\) | 2. | \(\dfrac {R~(n-1)} n\) |
3. | \(\dfrac {Rn} { (n-1)}\) | 4. | \(\dfrac R n\) |
1. | \(200~\text W\) | 2. | zero |
3. | \(100~\text W\) | 4. | \(140~\text W\) |
For the circuit given below, Kirchhoff's loop rule for the loop \(BCDEB\) is given by the equation:
1. | \(-{i}_2 {R}_2+{E}_2-{E}_3+{i}_3{R}_1=0\) |
2. | \({i}_2{R}_2+{E}_2-{E}_3-{i}_3 {R}_1=0\) |
3. | \({i}_2 {R}_2+{E}_2+{E}_3+{i}_3 {R}_1=0\) |
4. | \(-{i}_2 {R}_2+{E}_2+{E}_3+{i}_3{R}_1=0\) |