AIEEE 2009 PYQ Mock Test

In an experiment the angles are required to be measured using an instrument. $29$ divisions of the main scale exactly coincide with the $30$ divisions of the vernier scale. If the smallest division of the main scale is half-a-degree ($=0.5^{\circ }$), then the least count of the instrument is:

An inductor of inductance $L=400\text{mH}$ and resistors of resistances $R_1=2\Omega$ and $R_2=2\Omega$ are connected to a battery of emf $12\text{V}$. The internal resistance of the battery is negligible. The switch $S$ is closed at $t=0$. The potential drop across $L$ as a function of time is:

Directions: Question numbers 28, 29 and 30 are based on the following paragraph. Two moles of helium gas are taken over the cycle ABCDA, as shown in the P – T diagram.

Two moles of helium gas are taken over the cycle $ABCDA$, as shown in the $P\text{–}T$ diagram. Assuming the gas to be ideal, the work done on the gas in taking it from $A$ to $B$ is:

Referring to the $P\text{–}T$ diagram in the previous question, the work done on the gas in taking it from $D$ to $A$ is:

Referring to the $P\text{–}T$ diagram, the net work done on the gas in the cycle $ABCDA$ is: