the velocity of all fluid particles crossing a given position is constant.

the velocity of a fluid particle remains constant.

the velocity of all fluid particles at a given instant is constant.

the speed of a fluid particle remains constant.

MEDIUM

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In which stage of a river are oxbow lakes most commonly formed?

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Important Questions on Oscillations

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A simple pendulum of length

L

has mass

M

and it oscillates freely with amplitude

A

. At the extreme position, its potential energy is (

g

= acceleration due to gravity)

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Stems modified into flat green organs performing the functions of leaves are known as:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

An example of edible underground stem is:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The oscillation of a body on a smooth horizontal surface is represented by the equation,

X = A \cos (ω t)

, where

X =

displacement at time

t

ω =

frequency of oscillation,

a =

acceleration at time

t

and

T =

time period.
Which one of the following graph shows correctly the variation

a

with

t

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A person throws two fair dice. He wins Rs.

15

for throwing a doublet (same numbers on the two dice), wins Rs

12

when the throw results in the sum of

9

, and loses Rs.

6

for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A particle of mass

m

is moving along the

x - a x i s

under the potential

V (x) = \frac{k x^{2}}{2} + \frac{λ}{x^{'}}

where

k

and

x^{'}

are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency

(ω)

given by

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

A particle is performing SHM starting from extreme position. Graphical representation shows that, between displacement and acceleration, there is a phase difference of

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Water enters through end

A

with speed

v_{1}

and leaves through end

B

with speed

v_{2}

of a cylindrical tube

A B

. The tube is always completely filled with water. In case

I

, the tube is horizontal. In case

II

, it is vertical with end

A

upwards. In case

III

, it is vertical with end

B

upwards. We have

v_{1} = v_{2}

for:

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Explain.

When we try to close a water tap with our fingers, fast jets of water gush through the openings between our fingers

HARD

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Water is flowing continuously from a tap having an internal diameter of

8 \times 10^{- 3} m

. The velocity of water as it leaves the tap is

0.4 m s^{- 1}

. The diameter of the water stream at a distance

2 \times 10^{- 1} m

below the tap is close to,

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Two water pipes of diameters

2 cm

and

4 cm

are connected with the main supply line. The velocity of flow of water in the pipe of

2 cm

diameter is

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters

2.5 c m

and

3.75 c m

. The ratio of the velocities in the two pipes is

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Water is moving with a speed of

5.18 m s^{- 1}

through a pipe with a cross-sectional area of

4.20 {cm}^{2}

. The water gradually descends

9.66 m

as the pipe increases in area to

7.60 {cm}^{2}

. The speed of flow at the lower level is

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Along a streamline,

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Which of the following diagrams does not represent a streamline flow?

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

The rate of steady volume flow of water through a capillary tube of length

l

and radius

r

, under a pressure difference of

p s i V

. This tube is connected with another tube of the same length but half the radius, in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is p)

EASY

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Which of the following diagrams does not represent a streamline flow?

MEDIUM

Physics>Oscillations and Waves>Oscillations>Simple Harmonic Motion

Figures (a) and (b) refer to the steady flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why?

Question Image

In which stage of a river are oxbow lakes most commonly formed?

Important Questions on Oscillations

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