1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be
A
$${{\pi a} \over T}$$
B
$${{3{\pi ^2}a} \over T}$$
C
$${{\pi a\sqrt 3 } \over T}$$
D
$${{\pi a\sqrt 3 } \over {2T}}$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 m/s. and it is noted that 5 complete waves fit in 4m length of the string. The equation describing the wave is
A
y = (0.02) m sin (15.7 x $$-$$ 2010t)
B
y = (0.02) m sin (15.7 x + 2010t)
C
y = (0.02) m sin (7.85 x $$-$$ 1005t)
D
y = (0.02) m sin (7.85 x + 1005t)
3
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
$${C \over 3},{V \over 3}$$
4
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
$$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$$