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
Which one of the following equations of motion represents simple harmonic motion ?

where k, k0, k1 and a are all positive.
A
Acceleration = $$-$$ k (x + a)
B
Acceleration = k(x + a)
C
Acceleration = $$-$$ $$\omega $$2x
D
Acceleration = $$-$$ k0x + k1x2
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is
A
7
B
8
C
3
D
5
4
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)
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