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Waves Oscillation

Waves Oscillation - Physics Questions asked by Filo students

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Y (x, t) = \frac{0.8}{l e f t [( 4 x + 5 t ) ^{2} + 5 i g h t ]}

represents a moving pulse where

13.

x

y

are in metre and

t

is in second. Then,

q u a d (1999, 3 M)

pulse is moving in positive $x$ -direction
in $2 s$ it will travel a distance of $2.5 m$
its maximum displacement is $0.16 m$
it is a symmetric pulse

Topic:

Waves & Oscillation

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Views: 5,332

Y (x, t) = \frac{0.8}{l e f t [( 4 x + 5 t ) ^{2} + 5 i g h t ]}

represents a moving pulse where

x

y

are in metre and

t

is in second. Then,

(1999, 3 M)

pulse is moving in positive $x$ -direction
in $2 s$ it will travel a distance of $2.5 m$
its maximum displacement is $0.16 m$
it is a symmetric pulse

Topic:

Waves & Oscillation

View solution

Views: 6,029

95. Two simple pendulums of length

5 m

20 m

respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed ... oscillations.

Topic:

Waves & Oscillation

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Views: 5,384

11. A block of mass

0.5 kg

hanging from a vertical spring executes simple harmonic motion of amplitude

0.1 m

and time period

0.314 s

. Find the maximum force exerted by the spring on the block.

Topic:

Waves & Oscillation

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Views: 5,758

6.24 Waves and Thermodynamics

{"cross-sectional area of the layer, then, the initial volume of th cylinder $PQRS = a (d x)$ ","and final volume = volume of cylinder $P^{p r im e} Q^{p r im e} R^{p r im e} S^{p r im e}$ $= a [x + d x + y + d y) - (x + y)] = a (d x + d y)$ "," $h ere f ore q u a d$ Change in volume $= a d y$ "," $h ere f ore q u a d$ Volume strain $= \frac{e x t C han g e in v o l u m e}{e x t O r i g ina l v o l u m e} = \frac{a d y}{a d x} = \frac{d y}{d x}$ "}

Topic:

Waves & Oscillation

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Views: 5,572

A uniform rope hangs vertically from the ceiling. A transverse pulse is produced at the lower most end which travels upward. The acceleration a of the pulse with distance

x

from the lower end varies as

$a p ro pt o \frac{1}{x}$
$a p ro pt o x$
$a p ro pt o x$
$a p ro pt o x^{0}$

Topic:

Waves & Oscillation

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Views: 5,268

A uniform rope hangs vertically from the ceiling. A transverse pulse is produced at the lower most end which travels upward. The acceleration a of the pulse with distance

x

from the lower end varies as

$a p ro pt o \frac{1}{x}$
$a p ro pt o x$
$a p ro pt o x$
$a p ro pt o x^{0}$

Topic:

Waves & Oscillation

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Views: 5,487

Q.1 The potential energy of a particle of mass

m

r

from a fixed point

O

V (r) = k r^{2} /2

k

is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius

R

about the point

O

v

is the speed of the particle and

L

is the magnitude of its angular momentum about

O

, which of the following statements is (are) true?

Topic:

Waves & Oscillation

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Views: 5,511

15. The block of mass

m_{1}

shown in figure

(12

)

is fastened 10. to the spring and the block of mass

m_{2}

is placed against it. (a) Find the compression of the spring in the equilibrium position. (b) The blocks are pushed a further distance

(2/ k) l e f t (m_{1} + m_{2} i g h t) g sin θ

against the spring and released. Find the position where the two blocks separate. (c) What is the common speed of blocks at the time of separation?

Topic:

Waves & Oscillation

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Question 10

Views: 5,904

86. A smple pendulum is oscillating without damping.

7 \times 38

When the displacement of the bob ls less than masimum. Its acceleration vector a is correctly shown in [IIT-2002]

Topic:

Waves & Oscillation

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Question 11

Views: 6,071

30. All the surfaces shown in figure (12-E15) are frictionless. The mass of the car is

M

, that of the block is

m

and the spring has spring constant

k

. Initially, the car and the block are at rest and the spring is stretched through a length

x_{0}

when the system is released. (a) Find the amplitudes of the simple harmonic motion of the block and of the car as seen from the road. (b) Find the time period(s) of the two simple harmonic motions.

Topic:

Waves & Oscillation

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Question 12

Views: 5,302

The maximum velocity and acceleration of a particle in S.H.M. are

50 cms / sec

157 cm / sec^{2}

respectively. The time period in seconds will be :

4
$1.57$
$0.25$
2

Topic:

Waves & Oscillation

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Question 13

Views: 5,224

A point performs simple harmonic oscillation period

T

and the equation of motion is given

x = a sin (ω t + π /6)

. After the elapse of what frac of the time period the velocity of the point w equal to half of its maximum velocity?

$T /3$
$T /12$
$T /8$
$T /6$

Topic:

Waves & Oscillation

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Question 14

Views: 5,020

How many significant figures are there in the value

2.50 \times 1 0^{10} m

2
3
4
5

Topic:

Waves & Oscillation

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Question 15

Views: 5,297

T

of a small drop of liquid (due to surface tension) depends on density

ρ

r

and surface tension s. The relation is

Topic:

Waves & Oscillation

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Question 16

Views: 5,040

b = a cos c + c cos A

(Rrojection formula

c = a cos B + b cos A

$De lt a = \frac{1}{2} o p er a t or nam e ab s in C = \frac{1}{2} sec sin A = \frac{1}{2}$ ac sin $B$ (ar

Topic:

Waves & Oscillation

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Question 17

Views: 5,960

13. A simple pendulum performs S.H.M of period 4 seconds. How much time after crossing the mean position, will the displacement of the bob be one third of its amplitude. [Ans:

0.2163 s

Topic:

Waves & Oscillation

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Question 18

Views: 5,537

The displacement of an object attached to a spring and executing simple harmonic motion is given by

x = 2 \times 1 0^{- 2} cos π t m

. The time at which the maximum speed first occur is

$0.5 s$
$0.75 s$
$0.125 s$
$0.25 s$

Topic:

Waves & Oscillation

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Question 19

Views: 5,651

When the length the vibrating segment of a sonometer wire is increased by

1%

, the percentage change in its frequency is -

1
2
$1.5$
$0.9$

Topic:

Waves & Oscillation

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Question 20

Views: 5,904

A string of linear mass density

4 g / cm

is vibrating according to equation :-

y = A sin (120 π t) cos l e f t (\frac{2 π}{5} x i g h t)

x

is in centimeters. Find the tension in the string

$3.6 N$
$36 N$
$7.2 N$
$72 N$

Topic:

Waves & Oscillation

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