Waves Test

Result

Waves Test - 78

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Weekly Quiz Competition

Question 1
1 / -0

Figure shows two coherent microwave source $$ S_1 and S_2 $$ emitting waves of wavlength $$ \lambda $$ and separated by a distance $$ 3 \lambda $$ For $$ \lambda<< D $$ and $$ y \neq 0 $$ , the minimum value of y point P to be an intensity maximum is

A
$$ \frac {D \sqrt 5}{2} $$

B
$$ \frac {D \sqrt 7}{2} $$

C
$$ \frac {D \sqrt 3}{2} $$

D
$$ \frac {D \sqrt 15}{2} $$

Solution
Question 2
1 / -0

If two waves, each of intensity $$I_0$$ , having the frequency but differing by a constant phase angle of $$60^o$$ , superimposing at a certain point in space then the intensity of the resultant wave is

A
$$2I_0$$

B
$$3I_0$$

C
$$\sqrt{3}I_0$$

D
$$4I_0$$

Solution
Question 3
1 / -0

A $$4\ kg$$ particle is moving along the x-axis under the action of the force which varies with distance $$'x'$$ given by $$F = -\left (\dfrac {\pi^{2}}{16}\right )x$$ newton. At $$t = 2\sec$$, the particle passes through the origin and at $$t = 10\sec$$, its speed is $$4\sqrt {2}m/s$$. The amplitude of the motion is

A
$$\dfrac {32\sqrt {2}}{\pi}m$$

B
$$\dfrac {16}{\pi}m$$

C
$$\dfrac {4}{\pi}m$$

D
$$\dfrac {16\sqrt {2}}{\pi}m$$

Solution
Question 4
1 / -0

If the frequency of ac is $$60\ Hz$$ the time difference corresponding to a phase difference of $${ 60 }^{ \circ }$$ is

A
$$60\ s$$

B
$$1\ s$$

C
$$\dfrac { 1 }{ 60 } s$$

D
$$\dfrac { 1 }{ 360 } s$$

Solution
Question 5
1 / -0

The distance between two particles in a wave motion vibrating out of phase of $$\pi $$ radians is:

A
$$\lambda /4$$

B
$$\lambda/2$$

C
$$3\lambda/4$$

D
$$\lambda $$

Solution
Question 6
1 / -0

A particle is performing SHM with its position given as X=2+5 $$sin\left( \pi t\dfrac { \pi }{ 6 } \right) $$ where x (in m) & t (in sec). Which of the following is/ are correct :-

A
Equilibrium position is at X=2 m

B
Maximum speed of particle is $$5\pi m/s$$

C
Att=0 particle is 2.5 m away from position moving in negative direction

D
Att=0, X=4.5 m; acceleration of particle is $${ \pi }^{ 2 }\left( 4.5 \right) { m/s }^{ 2 }$$

Solution
Question 7
1 / -0

Elastic waves in solids are

A
Only transverse

B
Only longitudinal

C
Neither transverse nor longitudinal

D
Either transverse or longitudinal

Solution
Question 8
1 / -0

Figure shows a snapshot for a travelling sine wave along a string. Four elemental portion a,b,c and d are indicated on the string. The elemental portion which has maximum potential energy is/are

A
a

B
b

C
c

D
b and d
Question 9
1 / -0

The path difference two waves $${ y }_{ 1 }={ a }_{ 1 }$$ sin $$\left( \omega t-\dfrac { 2\pi x }{ \lambda } \right) $$ and $${ y }_{ 2 }={ a }_{ 2 }$$ cos$$\left( \omega t=\dfrac { 2xy }{ \lambda } \right) is$$

A
$$\dfrac { y }{ 2\pi } \left( \phi \right) $$

B
$$\dfrac { y }{ 2\pi } \left( \phi +\dfrac { \pi }{ 2 } \right) $$

C
$$\dfrac { 2\pi }{ y } \left( \phi -\dfrac { \pi }{ 2 } \right) $$

D
$$\dfrac { 2\pi }{ \gamma } \left( \phi \right) $$

Solution
Question 10
1 / -0

Two particle execute $$SHM$$ of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite direction, each time displacement is $${ 1 }/{ \sqrt { 2 } }$$ times their amplitude, the phase difference between them is

A
$$\pi/3$$

B
$$\pi/2$$

C
$$\pi/6$$

D
$$2\pi/3$$

Solution