Oscillations Test

Result

Oscillations Test - 46

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by 45°, then

A
The phase of the resultant motion relative to the first is 90°

B
The resultant amplitude is (1+√2)a

C
The energy associated with the resulting motion is (3+2√2) times the energy associated with any single motion

D
The resulting motion is not simple harmonic

Solution
Question 2
4 / -1

A linear harmonic oscillator of force constant 2 × 10⁶ N/m times and amplitude 0.01 m has a total mechanical energy of 160 joules. Its

A
Maximum potential energy is 100 J

B
Maximum K.E. is 100 J

C
Maximum P.E. is 160 J

D
Minimum P.E. is zero

Solution
Question 3
4 / -1

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits –ɸ and + ɸ. For an angular displacement θ ( |θ| < ɸ ), the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions

A

B

C
The magnitude of the tangential acceleration of the bob |a_r| = g sin θ

D
T = Mg cos θ

Solution
Question 4
4 / -1

Which of the following expressions represent simple harmonic motion

A
x = A sin (w8t + δ)

B
x = B cos (ωt + ɸ))

C
x = A tan (ωt + ɸ))

D
x = A sin ωt cos ωt

Solution
Question 5
4 / -1

A metal rod of length L and mass ‘M’ is pivoted at one end. A thin disk of mass ‘M\' and radius \'R’ (< L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached (case A). The disc is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod-disc system performs S.H.M. in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true

A
Restoring torque in case A = Restoring torque in case B

B
Restoring torque in case A < Restoring torque in case B

C
Angular frequency for case A > Angular frequency for case B

D
Angular frequency for case A < Angular frequency for case B

Solution
Question 6
4 / -1

If two springs S₁ and S₂ of force constants k₁ and k₂, respectively, are stretched by the same force, it is found that more work is done on spring S₁ than on spring S₂.
Statement 1 If stretched by the same amount, work done on S₁, will be more than that on S₂
Statement 2 : k₁ < k₂

A
Statement 1 is true, statement 2 is true ; statement 2 is a correct explanation for statement 1

B
Statement 1 is true, statement 2 is true ; statement 2 is not a correct explanation for statement 1

C
Statement 1 is true, statement 2 is false

D
Statement 1 is false, statement 2 is true

Solution
Question 7
4 / -1

A
E < 0

B
E > 0

C
V₀ > E > 0

D
E > V₀

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A

B

C

D
Zero

Solution
Question 10
4 / -1

Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative.
The phase space diagram for a ball thrown vertically up from ground is

A

B

C

D

Solution