1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltages of the combination will be
A
$$3C,{V \over 3}$$
B
$${C \over 3},3V$$
C
$$3C,3V$$
D
$${C \over 3},{V \over 3}$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
The electric potential at a point (x, y, z) is given by V = $$-$$x2y $$-$$ xz3 + 4

The electric field at that point is
A
$$\overrightarrow E = \widehat i2xy + \widehat j\left( {{x^2} + {y^2}} \right) + \widehat k\left( {3xz - {y^2}} \right)$$
B
$$\overrightarrow E = \widehat i{z^3} + \widehat jxyz + \widehat k{z^2}$$
C
$$\overrightarrow E = \widehat i\left( {2xy - {z^3}} \right) + \widehat jx{y^2} + \widehat k3{z^2}x$$
D
$$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$$
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A bus is moving with a speed of 10 ms$$-$$1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus ?
A
40 m s$$-$$1
B
25 m s$$-$$1
C
10 m s$$-$$1
D
20 m s$$-$$1