BITSAT Papers for BITSAT 2011 Exam | BITSAT Hall Ticket | BITSAT Syllabus | BITSAT Cutoff | BITS Pilani

Question

. In the given circuit with steady current, the potential drop across the capacitor must be

Possible Answers

Selected	Possible Answer
	$\frac{V}{3}$
	$V$
	$\frac{2V}{3}$
	$\frac{V}{2}$

Question

. A quantity X is given by $\in_{\circ}L \frac{\Delta V}{\Delta t}$ , where $\in_{\circ}$ is the permittivity of free space, L is a length, $\Delta V$ is a potential difference and $\Delta V$ is a time interval. The dimensional formular for X is the same as that of

Possible Answers

Selected	Possible Answer
	voltage
	resistance
	current
	charge

Question

. Consider a parallel plate capacitor of capacity $10 \mu F$ (micro-farad) with air filled in the gap between the plates. Now one half of the space between the plates is filled with a dielectric of dielectric constant 4, as shown in the figure. The capacity of the capacitor changes to

Possible Answers

Selected	Possible Answer
	$20 \mu F$
	$40 \mu F$
	$5 \mu F$
	$25 \mu F$

Question

. A capacitor C_1 is charged by a potential difference V_0 as shown in the figure. This charging battery is then removed and the capacitor is connected as in to an uncharged capacitor C_2 . What is the final potential difference (V) across the combination ?

Possible Answers

Selected	Possible Answer
	$V_0 * \frac{C_1}{C_1 - C_2}$
	$V_0 * \frac{C_1}{C_1 + C_2}$
	$V_0 * \frac{C_1 + C_2}{C_1}$
	$V_0 * \frac{C_1 - C_2}{C_1}$

Question

. Two capacitors of capacitances C_1 and C_2 are charged to potentials V_1 and V_2 respectively. When they are connected in parallel the ratio of their respective charges will be

Possible Answers

Selected	Possible Answer
	$\frac{C_1 ^2}{C_2 ^2}$
	$\frac{V_1 ^2}{V_2 ^2}$
	$\frac{V_1 }{V_2 }$
	$\frac{C_1}{C_2}$

Question

. Minimum numbers of $8 \mu F$ and 250 V capacitors used to make a combination of $16 \mu F$ and l000Vare

Possible Answers

Selected	Possible Answer
	3
	4
	8
	32

Question

. In a parallel plate capacitor, the distance between the plates is d and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is

Possible Answers

Selected	Possible Answer
	$\frac{1}{2} \in_\circ \frac{V^2}{d^2}$
	$\frac{1}{2} \frac{V^2}{\in_\circ d^2}$
	$\frac{\in_\circ ^2}{2V^2}$
	$\frac{1}{2} \in_\circ \frac{V^2}{ d}$

Question

. The equivalent capacitance of the combination of three capacitors, each of capacitance C shown in the given figure, between A and B is

Possible Answers

Selected	Possible Answer
	$\frac{1}{3C}$

	$\frac{3C}{2}$
	$\frac{C}{2}$

Question

. Charge Q is divided into two parts which are then kept some distance apart. The force between them will be maximum if the two parts are

Possible Answers

Selected	Possible Answer
	e and (Q â€“ e), where e = electronic charge
	$\frac{Q}{4} \And \frac{3Q}{4}$
	$\frac{Q}{2} each$
	$\frac{Q}{3} \And \frac{2Q}{3}$

Question

. A half ring of radius R has a charge of $\lambda$ per unit length .The potential at the centre of the half ring is (Assuming potential at infinity is zero and $k = \frac{1}{4\pi\epsilon_\circ}$ )

Possible Answers

Selected	Possible Answer
	$k \frac{\lambda}{R}$
	$k \frac{\lambda}{\pi R}$
	$k \frac{\pi \lambda}{R}$
	$k \pi \lambda$

Question

. A point charge Q is moved along a circular path around another fixed point charge. The work done is zero

Possible Answers

Selected	Possible Answer
	in all cases
	only if Q returns to its starting point
	only if the two charges have the same magnitude
	only if the two charges have the same magnitude and opposite signs

Question

. Electric potential of earth is taken to be zero, because earth is a good

Possible Answers

Selected	Possible Answer
	insulator
	conductor
	semi-conductor
	dielectric

Question

. The pressure inside and outside a soap bubble of radius r are same. If the surface tension of the soap solution is T then the charge on the bubble will be

Possible Answers