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Waves Oscillation

Solution for Class 12, Physics, Waves Oscillation

Question 1

ii) In Si units, the differential equation of an SHM is d

x

d i^{2} = - 36 x

. Find its angular frequency.

Topic:

Waves & Oscillation

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Question 2

lues- A plane wave equation is given by [ vec{E}=left(frac{1}{2} hat{i}+frac{sqrt{3}}{2} j ight) cos left(10^{2} t-sqrt{3} x+y ight) ] find:-

Wave vector $k$
Refractive index n of medium
Dielectric constant Er of medium.
Wavelength of the wave 4
Magnetio field

Topic:

Waves & Oscillation

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Question 3

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency

10 GHz

. What is the frequency of the microwave measured by the observer? (speed of light

= 3 \times 1 0^{8} ms^{- 1}

)

Topic:

Waves & Oscillation

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Question 4

A rope of length

L

and mass

m

hangs freely from the ceiling. The velocity of transverse wave as a function of position

x

along the rope is proportional to

$x^{0}$
$x$
$\frac{1}{x}$
$x$

Topic:

Waves & Oscillation

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Question 5

A particle performs S.H.M. with amplitude

25 cm

and period

3 s

. The minimum time required for it to move between two points

12.5 cm

on either side of the mean position is (MHT-CET, 2015)

$0.6 s$
$0.5 s$
$0.4 s$
$0.2 s$

Topic:

Waves & Oscillation

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Question 6

The average acceleration of a particle performing a S.H.M. in one complete oscillation is (MHT-CET, 2010)

$\frac{A ω ^{2}}{2}$
$\frac{A ω ^{2}}{2}$
$A ω^{2}$
zero

Topic:

Waves & Oscillation

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Question 7

A particle performs S.H.M. with amplitude

25 cm

and period

3 s

. The minimum time required for it to move between two points

12.5 cm

on either side of the mean position is

$0.6 s$ (MHX-CET, 2015)
$0.6 s$
$0.5 s$
$0.4 s$
$0.2 s$

Topic:

Waves & Oscillation

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Question 8

The average acceleration of a particle performing a S.H.M. in one complete oscillation is (MHT-CET, 2010)

$\frac{A ω ^{2}}{2}$
$\frac{A ω ^{2}}{2}$
$A ω^{2}$
zero

Topic:

Waves & Oscillation

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Question 9

180 Waves 58. A whistle of frequency

500 Hz

tied to the end of a string of length

1.2 m

revolve at

400 rev / min

. A listener standing some distance away in the plane of rotation of whistle hears frequencies in the range (speed of sound

= 340 m / s

436 to 586
426 to 574
426 to 584
436 to 674

Topic:

Waves & Oscillation

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Question 10

180 Waves 58. A whistle of frequency

500 Hz

tied to the end of a string of length

1.2 m

revolve at

400 rev / min

. A listener standing some distance away in the plane of rotation of whistle hears frequencies in the range (speed of sound

= 340 m / s

436 to 586
426 to 574
426 to 584
436 to 674

Topic:

Waves & Oscillation

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Question 11

7.33

If two nodes are observed at a frequency of 1800 rpm during whirling of simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is

Topic:

Waves & Oscillation

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Question 12

7.33

If two nodes are observed at a frequency of 1800 rpm during whirling of simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is

Topic:

Waves & Oscillation

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Question 13

A body executes S.H.M with an amplitude A. At what displacement from the mean position is the potential energy of the body is one fourth of its total energy?

$A / L$
$A /2$
$3 A / A$
Some other fraction of $A$

Topic:

Waves & Oscillation

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Question 14

Two stationary sources each emitting waves of wavelength

λ

, an observer moves from one source to another with velocity

u

. Then number of beats heard by him

$\frac{2 u}{2}$
$\frac{u}{2}$
$u λ$
$\frac{u}{2 λ}$

Topic:

Waves & Oscillation

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Question 15

A boy is swinging in a swing. If he stands, the time period will

First decrease, then increase
Decrease
Increase
Remain same

Topic:

Waves & Oscillation

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Question 16

A drop of liquid of radius

r

, density

ρ

and surface tension

σ

oscillates in gravity free space as shown in figure. If the time period of oscillation of this drop is

2 sec

, what is the time period (in sec) of oscillation of a drop of radius 2 r. The second drop is made of same liquid as first.

Topic:

Waves & Oscillation

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Question 17

A pendulum with time period of

1 s

is losing energy due to damping. At certain time its energy is

45 J

. If after completing 15 oscillations, its energy has become

15 J

, its damping constant (in

s^{- 1}

) is :

$\frac{1}{2}$
$\frac{1}{30} l n 3$
2
$\frac{1}{15} l n 3$

Topic:

Waves & Oscillation

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Question 18

31. A uniform plate of mass

M

stays horizontally and symmetrically on two wheels rotating in opposite directions (figure 12-E16). The separation between the wheels is

L

. The friction coefficient between each wheel and the plate is

m u

. Find the time period of oscillation of the plate if it is slightly displaced along its length and released. Figure 12-E16

Topic:

Waves & Oscillation

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Question 19

98. An equiconvex lens is cut into two halves along (i)

XO X^{p r im e}

and (ii) YOYas shown in Fig.

6 (CF) .16.

Let

f, f^{p r im e}

and

f^{p r im e p r im e}

be the focal lengths of complete lens, of each half in case

(t)

and of each half in case (ii) respectively. Choose the correct statement from the following :

Topic:

Waves & Oscillation

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Question 20

GB-5. Acceleration a versus time

t

graph of a body in SHM is given by a curve shown below. T is the time period. Then corresponding graph between kinetic energy KE and time t is correctly represented by

Topic:

Waves & Oscillation

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1 2 3 4...333

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Solution for Class 12, Physics, Waves Oscillation

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