1
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
$$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it ?

AIPMT 2009 Physics - Current Electricity Question 69 English
A
$${\varepsilon _2} - {i_2}{r_2} - {\varepsilon _1} - {i_1}{r_1} = 0$$
B
$$ - {\varepsilon _2} - \left( {{i_1} + {i_2}} \right)R + {i_2}{r_2} = 0$$
C
$${\varepsilon _1} - \left( {{i_1} + {i_2}} \right)R + {i_1}{r_1} = 0$$
D
$${\varepsilon _1} - \left( {{i_1} + {i_2}} \right)R - {i_1}{r_1} = 0$$
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure is

AIPMT 2009 Physics - Current Electricity Question 68 English
A
$$3\,\Omega $$
B
$$6\pi \,\Omega $$
C
$$6\,\Omega $$
D
$$0.6\pi \,\Omega $$
4
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
The mean free path of electrons in a metal is 4 $$ \times $$ 10$$-$$8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in units V/m
A
$$5 \times {10^{ - 11}}$$
B
8 $$ \times $$ 10$$-$$11
C
5 $$ \times $$ 107
D
8 $$ \times $$ 107
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