triangle formed by the lines xy(x y-21)=0 the no of integral co ordinate (x,y) lies inside the triangle?
190
210
20*20/2
21*21/2
In S.H.M. maximum acceleration is at ____.
amplitude
equilibrium
acceleration is constant
None of the above
A particle is executing simple harmonic motion with amplitude of 0.02 metre and frequency 50 Hz. The maximum acceleration of the particle is ____.
Acceleration of a particle, executing SHM, at it’s mean position is ____.
infinity
varies
maximum
zero
Which one of the following statements is true for the speed v and the acceleration of a particle executing simple harmonic motion?
When v is maximum, a is maximum
Value of a is zero, whatever may be the value of v
When v is zero, a is zero
When v is maximum, a is zero
What is the maximum acceleration of the particle doing the SHM where 2 is in cm?
A particle executes linear simple harmonic motion with amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds
is ____.
In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of ____.
spring constant
angular frequency
(angular frequency)2
restoring force
The total energy of a particle executing S.H.M. is proportional to ____.
displacement from equilibrium position
frequency of oscillation
velocity in equilibrium position
square of amplitude of motion
A particle executes simple harmonic motion along a straight line with amplitude A. The potential energy is maximum when the displacement is ____.
Zero
A particle is vibrating in a simple harmonic motion with amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic ____.
1 cm
3 cm
For a particle executing simple harmonic motion, the kinetic energy K is given by . The maximum value of potential energy is ____.
Zero
Not obtainable
The potential energy of a particle with displacement X is U(X). The motion is simple harmonic, when (K is a positive constant) ____.
The kinetic energy and potential energy of a particle executing simple harmonic motion is equal, when displacement (amplitude = a) is ____.
The total energy of the body executing S.H.M. is E. Then the kinetic energy when the displacement is half of the amplitude is ____.
A particle moves such that its acceleration a is given by, where is the displacement from equilibrium position and b is a constant. The period of oscillation is ____.
The equation of motion of a particle is , where K is positive constant. The time period of the motion is given by ____.
A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after ____.
84.6 minutes
42.3 minutes
1 day
It will not reach the other end
The maximum speed of a particle executing S.H.M. is and its maximum acceleration is . The time period of the particle is ____.
1.57 s
2 s
4 s
The motion of a particle executing S.H.M. is given by, where x is in metres and time is in seconds. The time period is ____.
0.01 s
0.02 s
0.1 s
0.2 s