MTH401 Quiz 3 Set 2

Q1. How are frequency and period related in simple harmonic motion?

1. They are inversely related
2. Their sum is constant
3. They are directly related
4. None of the above

Correct answer: They are inversely related

Q2. Consider a mathematical statement, V = IR, where V be the constant of proportionality and it represents the voltage. The equation is called _________.

1. Coulomb’s law
2. Ohm’s law
3. Hooke’s law
4. Newtown’s law

Correct answer: Ohm’s law

Q3. The damping force is __________to the instantaneous velocity \frac{{dx}}{{dt}}

1. None of these
2. Inverse proportional
3. Constant
4. Proportional

Correct answer: Proportional

Q4. Solution of the D.Equation 4y^{//} + y = 0. is

1. None of them.
2. y(x) = c_1 {x} {2}
3. y(x) = c_1 Sin{x} {2}
4. y(x) = c_1 {x} {2} + c_2 Sin{x} {2}

Correct answer: y(x) = c_1 {x} {2} + c_2 Sin{x} {2}

Q5. Vibration of an object on equilibrium point is called simple harmonic motion when the restoring force is proportional to _________.

1. A spring constant
2. Time
3. Mass
4. Displacement

Correct answer: Displacement

Q6. {\text{The}}\,\,{\text{quantity}}\,\,Z = \sqrt {{X^2} + {R^2}} \,\,{\text{is}}\,\,{\text{called}}\,\,\_\_\_\_\_\_\_\_\,\,{\text{of}}\,\,{\text{the}}\,\,{\text{circuit}}{\text{.}}

1. {{impedance}}
2. {{reactance}}

Correct answer: {{impedance}}

Q7. \begin{gathered} {\text{In}}\,\,{\text{the}}\,\,{\text{study}}\,\,{\text{of}}\,\,{\text{mechanics,}}\,\,{\text{cosider}}\,\,{\text{the}}\,\,

• \beta \,{\left( {\frac{{dx}}{{dt}}} \right)^2},\,{\text{where}}\,\,\beta \,\,{\text{is}}\,\,{\text{a}}\,\, \hfill \\ {\text{damping}}\,\,{\text{constant}}\,\,{\text{and}}\,\,{\text{negative}}\,\,{\text{sign}}\,\,{\text{indicates}}\,\,{\t \hfill \\ {\text{to}}\,\,{\text{the}}\,\,{\text{direction}}\,\,{\text{of}}\,{\text{motion}}{\text{.}}\,\,\,\, \hfill \\\ \end{gathered}

1. {{opposite}}
2. {{same}}

Correct answer: {{opposite}}

Q8. {\text{The}}\,\,{\text{power}}\,\,{\text{series}},\,\,1 + x + \frac{x}{{2!}} + \frac{{{x^3}}}{{3!}} + ...\, =

1. {e^x}
2. x
3. (1 + x)
4. x

Correct answer: {e^x}

Q9. The periodic time is given by

1. 2 *
2. { }{ }
3. { }{{2 }}
4. {{2 }}{ }

Correct answer: {{2 }}{ }

Q10. The hook’s law states that the force F is proportional to the __________.

1. Elongation
2. Length
3. Weight
4. None of these

Correct answer: Elongation