हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

P a Particle Moves on the X-axis According to the Equation X = a + B Sin ωT. the Motion is Simple Harmonic with Amplitude

Advertisements
Advertisements

प्रश्न

A particle moves on the X-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude

विकल्प

  • A

  • B

  • A + B

  • \[\sqrt{A^2 + B^2} .\]

MCQ
Advertisements

उत्तर

B

At t = 0,

Displacement \[\left( x_0 \right)\]  is given by,   x0 = A + sin ω(0) = A

Displacement x will be maximum when sinωt is 1 or,
 xm = A + B

Amplitude will be:
xm \[-\]xo = A + B \[-\] A = B

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Simple Harmonics Motion - MCQ [पृष्ठ २५०]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 12 Simple Harmonics Motion
MCQ | Q 9 | पृष्ठ २५०

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?

(a) a = 0.7x

(b) a = –200x2

(c) a = –10x

(d) a = 100x3


In a damped harmonic oscillator, periodic oscillations have _______ amplitude.

(A) gradually increasing

(B) suddenly increasing

(C) suddenly decreasing

(D) gradually decreasing


Can simple harmonic motion take place in a non-inertial frame? If yes, should the ratio of the force applied with the displacement be constant?


A pendulum clock gives correct time at the equator. Will it gain time or loose time as it is taken to the poles?


Can a pendulum clock be used in an earth-satellite?


A hollow sphere filled with water is used as the bob of a pendulum. Assume that the equation for simple pendulum is valid with the distance between the point of suspension and centre of mass of the bob acting as the effective length of the pendulum. If water slowly leaks out of the bob, how will the time period vary?


The time period of a particle in simple harmonic motion is equal to the smallest time between the particle acquiring a particular velocity \[\vec{v}\] . The value of v is


The average energy in one time period in simple harmonic motion is


A pendulum clock keeping correct time is taken to high altitudes,


A particle moves in a circular path with a continuously increasing speed. Its motion is


Which of the following quantities are always negative in a simple harmonic motion?

(a) \[\vec{F} . \vec{a} .\]

(b) \[\vec{v} . \vec{r} .\]

(c) \[\vec{a} . \vec{r} .\]

(d)\[\vec{F} . \vec{r} .\]


Which of the following quantities are always zero in a simple harmonic motion?
(a) \[\vec{F} \times \vec{a} .\]

(b) \[\vec{v} \times \vec{r} .\]

(c) \[\vec{a} \times \vec{r} .\]

(d) \[\vec{F} \times \vec{r} .\]


Which of the following will change the time period as they are taken to moon?
(a) A simple pendulum
(b) A physical pendulum
(c) A torsional pendulum
(d) A spring-mass system


Assume that a tunnel is dug across the earth (radius = R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if (a) it is projected into the tunnel with a speed of \[\sqrt{gR}\] (b) it is released from a height R above the tunnel (c) it is thrown vertically upward along the length of tunnel with a speed of \[\sqrt{gR}\]


A uniform disc of mass m and radius r is suspended through a wire attached to its centre. If the time period of the torsional oscillations be T, what is the torsional constant of the wire?


A particle is subjected to two simple harmonic motions, one along the X-axis and the other on a line making an angle of 45° with the X-axis. The two motions are given by x = x0 sin ωt and s = s0 sin ωt. Find the amplitude of the resultant motion.


In a simple harmonic oscillation, the acceleration against displacement for one complete oscillation will be __________.


A particle executing SHM crosses points A and B with the same velocity. Having taken 3 s in passing from A to B, it returns to B after another 3 s. The time period is ____________.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×