Identify the wrong statement from the following
If the length of a spring is halved, the time period of each part becomes times the original
The effective spring constant K of springs in parallel is given by
The time period of a stiffer spring is less than that of a soft spring
The spring constant is inversely proportional to the spring length
The total energy of the particle executing simple harmonic motion of amplitude A is 100 J. At a distance of 0.707 A from the mean position, its kinetic energy is
25 J
50 J
100 J
12.5 J
B.
50 J
We know that,
Total energy,
and kinetic energy KE
Two travelling waves, y1 = A sin [k(x + ct)] and y2 = A sin [k(x- ct)] are superposed on a string. The distance between adjacent antinodes is
If a stretched wire is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively
2 and 2
1 and 2
3 and 4
2 and 3
Pick out the correct statement in the following with reference to stationary wave pattern
In a tube closed at one end, all the harmonics are present
In a tube open at one end, only even harmonics are present
The distance between successive nodes is equal to the wavelength
In a stretched string, the first overtone is the same as the second harmonic
Five cells each of emf E and internal resistance r send the same amount of current through an external resistance R whether the cells are connected in parallel or in series. Then the ratio is
2
1
The power dissipated in the transmission cables carrying current I and voltage V is inversely proportional to
V
V2
The magnitude of the magnetic field inside a long solenoid is increased by
decreasing its radius
decreasing the current through it
increasing its area of cross-section
introducing a medium of higher permeability
A bar magnet of moment of inertia 9 x 10-5 kg m2 placed in a vibration magnetometer and oscillating in a uniform magnetic field 16π2 × 10-5 T makes 20 oscillations in 15 s. The magnetic moment of the bar magnet is
3 A-m2
2 A-m2
4 A-m2
6 A-m2