1
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin($$\omega $$t + $$\pi $$/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?
A
T/3
B
T/12
C
T/8
D
T/6
2
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
Two periodic waves of intensities $$I$$1 and $$I$$2 pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
A
$${\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)^2}$$
B
$$2\left( {{I_1} + {I_2}} \right)$$
C
$${{I_1} + {I_2}}$$
D
$${\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)^2}$$
3
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
The wave described by y = 0.25 sin(10$$\pi $$x $$-$$ 2$$\pi $$t), where x and y are in metres and t in seconds, is a wave travelling along the
A
+ve x direction with frequency 1 Hz and wavelength $$\lambda $$ = 0.2 m.
B
$$-$$ve x direction with amplitude 0.25 m and wavelength $$\lambda $$ = 0.2 m.
C
$$-$$ve x direction with frequency 1 Hz.
D
+ve x direction with frequency $$\pi $$ Hz and wavelength $$\lambda $$ = 0.2 m.
4
AIPMT 2008
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
$${\varepsilon _0}EAd$$
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