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A particle performing Linear S.H.M. has a maximum velocity 25 cm/sand maximum acceleration 100 cm/s2. Find the period of oscillations.
Concept: Differential Equation of Linear S.H.M.
State the two forms of the second law of thermodynamics.
Concept: Second Law of Thermodynamics
Explain the change in internal energy of a thermodynamic system (the gas) by heating it.
Concept: Heat, Internal Energy and Work
What are surroundings in thermodynamics?
Concept: Thermodynamics
In a cyclic process, if ΔU = internal energy, W = work done, Q = Heat supplied then ______.
Concept: Thermodynamic Process
A particle performing linear S.H.M. has a period of 6.28 seconds and a pathlength of 20 cm. What is the velocity when its displacement is 6 cm from mean position?
Concept: Differential Equation of Linear S.H.M.
Two springs of force constants K1 and K2 (K1> K2) are stretched by same force. If W1 and W2 be the work done stretching the springs then......
Concept: Elastic Energy
A and B are two steel wires and the radius of A is twice that of B. If they are stretched by the same load, then the stress on B is .....
Concept: Behaviour of Metal Wire Under Increasing Load
Define linear S.H.M.
Concept: Differential Equation of Linear S.H.M.
Show that a linear S.H.M. is the projection of a U.C.M. along any of its diameter.
Concept: Linear Simple Harmonic Motion (S.H.M.)
A seconds pendulum is suspended in an elevator moving with constant speed in downward direction. The periodic time (T) of that pendulum is _______.
Concept: Periodic and Oscillatory Motion
The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3 seconds.
Concept: Periodic and Oscillatory Motion
The maximum velocity of a particle performing linear S.H.M. is 0.16 m/s. If its maximum acceleration is 0.64 m/s2, calculate its period.
Concept: Differential Equation of Linear S.H.M.
The ratio of diameters of two wires of the same material and length is n : 1. If the same load is applied to both the wires then increases in the length of the thin wire is ........................ (n > 1).
- n1/4 times
- n1/2 times
- n times
- n2 times
Concept: Behaviour of Metal Wire Under Increasing Load
The buckling of a beam is found to be more if ___ .
(a) the breadth of the beam is large.
(b) the beam material has large value of Young's -modulus.
(c) the length of the beam is small.
(d) the depth of the beam is small.·
Concept: Hooke’s Law
Two particles perform linear simple harmonic motion along the same path of length 2A and period T as shown in the graph below. The phase difference between them is ___________.
Concept: Differential Equation of Linear S.H.M.
A mass M attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 Kg, the eriod increases by 1 second. Find the initial mass, assuming that Hooke's law is obeyed.
Concept: Hooke’s Law
A copper metal cube has each side of length 1 m. The bottom edge of the cube is fixed and tangential force 4.2x108 N is applied to a top surface. Calculate the lateral displacement of the top surface if modulus of rigidity of copper is 14x1010 N/m2.
Concept: Periodic and Oscillatory Motion
Young’s modulus of material of wire is ‘Y’ and strain energy per unit volume is ‘E’, then the strain is
(A) `sqrtY/(2E)`
(B) `sqrt(E/Y)`
(C) `sqrt((2E)/Y)`
(D) `sqrt(2EY)`
Concept: Hooke’s Law
