1
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+4
-1
The equation of a simple harmonic wave is given by

y = 3 sin$${\pi \over 2}$$(50t $$-$$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
A
2$$\pi $$
B
$${3 \over 2}\pi $$
C
$$3\pi $$
D
$${2 \over 3}\pi $$
2
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
A train moving at a speed of 220 m s$$-$$1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is
(Speed of sound in air is 330 m s$$-$$1)
A
3500 Hz
B
4000 Hz
C
5000 Hz
D
3000 Hz
3
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+4
-1
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is
A
$${1 \over 2}{\varepsilon _0}{E^2}$$
B
$${{{E^2}Ad} \over {{\varepsilon _0}}}$$
C
$${1 \over 2}{\varepsilon _0}{E^2}Ad$$
D
$${\varepsilon _0}EAd$$
4
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+4
-1
Two metallic spheres of radii 1 cm and 3 cm are given charges of $$-$$1 $$ \times $$ 10$$-$$2 C and 5 $$ \times $$ 10$$-$$2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is
A
2 $$ \times $$ 10$$-$$2 C
B
3 $$ \times $$ 10$$-$$2 C
C
4 $$ \times $$ 10$$-$$2 C
D
1 $$ \times $$ 10$$-$$2 C
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