MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 27 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The resistance R =\[\frac{V}{i}\] where V= 100 \[\pm \]5 volts and i = 10 \[\pm \]0.2 amperes. What is the total error in R |
| A. | 5% |
| B. | 7% |
| C. | If assertion is true but reason is false. |
| D. | \[\frac{5}{2}\]% |
| Answer» C. If assertion is true but reason is false. | |
| 2. |
Assertion: Units of Rydberg constant R are m?1 Reason: It follows from Bohr?s formula \[\bar{v}=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\], where the symbols have their usual meaning. |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | If assertion is true but reason is false. |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion. | |
| 3. |
The number of significant figures in all the given numbers 25.12, 2009, 4.156 and \[1.217\times {{10}^{-4}}\] is [Pb. PET 2003] |
| A. | 1 |
| B. | 2 |
| C. | If assertion is true but reason is false. |
| D. | 4 |
| Answer» E. | |
| 4. |
The radius of a sphere is (5.3 ± 0.1) cm. The percentage error in its volume is |
| A. | \[\frac{0.1}{5.3}\times 100\] |
| B. | \[3\times \frac{0.1}{5.3}\times 100\] |
| C. | In the car to the side of the person |
| D. | \[3+\frac{0.1}{5.3}\times 100\] |
| Answer» C. In the car to the side of the person | |
| 5. |
A force \[F\] is given by \[F=at+b{{t}^{2}}\], where \[t\] is time. What are the dimensions of \[a\] and \[b\] [AFMC 2001; BHU 1998, 2005] |
| A. | \[ML{{T}^{-3}}\] and \[M{{L}^{2}}{{T}^{-4}}\] |
| B. | \[ML{{T}^{-3}}\] and \[ML{{T}^{-4}}\] |
| C. | None of the strings will break |
| D. | \[ML{{T}^{-4}}\] and \[ML{{T}^{1}}\] |
| Answer» C. None of the strings will break | |
| 6. |
The physical quantity that has no dimensions [EAMCET (Engg.) 1995] |
| A. | Angular Velocity |
| B. | Linear momentum |
| C. | \[{{150}^{\text{o}}}\] |
| D. | Strain |
| Answer» E. | |
| 7. |
Dimensions of coefficient of viscosity are [AIIMS 1993; CPMT 1992; Bihar PET 1984; MP PMT 1987, 89, 91; AFMC 1986; CBSE PMT 1992; KCET 1994; DCE 1999; AIEEE 2004; DPMT 2004] |
| A. | \[M{{L}^{2}}{{T}^{-2}}\] |
| B. | \[M{{L}^{2}}{{T}^{-1}}\] |
| C. | \[150{}^\circ \] |
| D. | \[MLT\] |
| Answer» D. \[MLT\] | |
| 8. |
The dimensions of permittivity \[{{\varepsilon }_{0}}\] are [MP PET 1997; AIIMS-2004; DCE-2003] |
| A. | \[{{A}^{2}}{{T}^{2}}{{M}^{-1}}{{L}^{-3}}\] |
| B. | \[{{A}^{2}}{{T}^{4}}{{M}^{-1}}{{L}^{-3}}\] |
| C. | \[-5\sqrt{2},\,\,\pi /3\] |
| D. | \[{{A}^{2}}{{T}^{-4}}{{M}^{-1}}{{L}^{-3}}\] |
| Answer» C. \[-5\sqrt{2},\,\,\pi /3\] | |
| 9. |
Which pair has the same dimensions [EAMCET 1982; CPMT 1984, 85; Pb. PET 2002; MP PET 1985] |
| A. | Work and power |
| B. | Density and relative density |
| C. | \[T=70.8N\] and \[{T}'=58.8N\] |
| D. | Stress and strain |
| Answer» D. Stress and strain | |
| 10. |
Dimensions of permeability are [CBSE PMT 1991; AIIMS 2003] |
| A. | \[{{A}^{-2}}{{M}^{1}}{{L}^{1}}{{T}^{-2}}\] |
| B. | \[ML{{T}^{-2}}\] |
| C. | Upthrust of the air which will be equal to the weight of the air having the same volume as the plane |
| D. | \[{{A}^{-1}}ML{{T}^{2}}\] |
| Answer» B. \[ML{{T}^{-2}}\] | |
| 11. |
A small steel ball of radius \[r\] is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity \[\eta \]. After some time the velocity of the ball attains a constant value known as terminal velocity \[{{v}_{T}}\]. The terminal velocity depends on (i) the mass of the ball \[m\], (ii) \[\eta \], (iii) \[r\] and (iv) acceleration due to gravity \[g\]. Which of the following relations is dimensionally correct [CPMT 1992; CBSE PMT 1992; NCERT 1983; MP PMT 2001] |
| A. | \[{{v}_{T}}\propto \frac{mg}{\eta r}\] |
| B. | \[{{v}_{T}}\propto \frac{\eta r}{mg}\] |
| C. | \[({{F}_{2}}-{{F}_{3}})/m\] |
| D. | \[{{v}_{T}}\propto \frac{mgr}{\eta }\] |
| Answer» B. \[{{v}_{T}}\propto \frac{\eta r}{mg}\] | |
| 12. |
Which of the following quantities has the same dimensions as that of energy [AFMC 1991; CPMT 1976; DPMT 2001] |
| A. | Power |
| B. | Force |
| C. | 12 N |
| D. | Work |
| Answer» E. | |
| 13. |
A spherical body of mass \[m\] and radius \[r\] is allowed to fall in a medium of viscosity \[\eta \]. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity \[(v)\] is called time constant \[(\tau )\]. Dimensionally \[\tau \] can be represented by [AIIMS 1987] |
| A. | \[\frac{m{{r}^{2}}}{6\pi \eta }\] |
| B. | \[\sqrt{\left( \frac{6\pi mr\eta }{{{g}^{2}}} \right)}\] |
| C. | 0.1 m/s |
| D. | None of the above |
| Answer» E. | |
| 14. |
The frequency of vibration \[f\] of a mass \[m\] suspended from a spring of spring constant \[K\]is given by a relation of this type \[f=C\,{{m}^{x}}{{K}^{y}}\]; where \[C\] is a dimensionless quantity. The value of \[x\] and \[y\] are [CBSE PMT 1990] |
| A. | \[x=\frac{1}{2},\,y=\frac{1}{2}\] |
| B. | \[x=-\frac{1}{2},\,y=-\frac{1}{2}\] |
| C. | \[\frac{\rho V}{{{v}_{1}}+{{v}_{2}}}v_{1}^{2}\] |
| D. | \[x=-\frac{1}{2},\,y=\frac{1}{2}\] |
| Answer» E. | |
| 15. |
The dimensional formula for impulse is same as the dimensional formula for [CPMT 1982, 83; CBSE PMT 1993; UPSEAT 2001] |
| A. | Momentum |
| B. | Force |
| C. | \[\sqrt{{{(M+m)}^{2}}+{{m}^{2}}}g\] |
| D. | Torque |
| Answer» B. Force | |
| 16. |
Out of following four dimensional quantities, which one quantity is to be called a dimensional constant? [KCET 2005] |
| A. | Acceleration due to gravity |
| B. | Surface tension of water |
| C. | \[\sec \alpha =3\] |
| D. | The velocity of light in vacuum |
| Answer» E. | |
| 17. |
Out of the following pair, which one does not have identical dimensions? [AIEEE 2005] |
| A. | Moment of inertia and moment of force |
| B. | Work and torque |
| C. | C |
| D. | Impulse and momentum |
| Answer» B. Work and torque | |
| 18. |
The dimensional formula for young's modulus is? [BHU 2003; CPMT 2004] |
| A. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| B. | \[{{M}^{0}}L{{T}^{-2}}\] |
| C. | 50 m/s |
| D. | \[M{{L}^{2}}{{T}^{-2}}\] |
| Answer» B. \[{{M}^{0}}L{{T}^{-2}}\] | |
| 19. |
Which of the following quantities is dimensionless? [MP PET 2002] |
| A. | Gravitational constant |
| B. | Planck's constant |
| C. | 1 m/s |
| D. | None |
| Answer» E. | |
| 20. |
An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is? [Orissa JEE 2002] |
| A. | \[M{{L}^{-1}}{{T}^{-1}}\] |
| B. | \[ML{{T}^{-1}}\] |
| C. | 4 N |
| D. | \[M{{L}^{0}}{{T}^{-1}}\] |
| Answer» E. | |
| 21. |
Which of the following represents the dimensions of Farad [AMU (Med.) 2002] |
| A. | \[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}\] |
| B. | \[M{{L}^{2}}{{T}^{2}}{{A}^{-2}}\] |
| C. | The flow of air around the wings causes an upward force, which compensates for the force of gravity |
| D. | \[M{{T}^{-2}}{{A}^{-1}}\] |
| Answer» B. \[M{{L}^{2}}{{T}^{2}}{{A}^{-2}}\] | |
| 22. |
A physcial quantity \[x\] depends on quantities \[y\] and \[z\] as follows: \[x=Ay+B\tan Cz\], where \[A,\,B\] and \[C\] are constants. Which of the following do not have the same dimensions [AMU (Engg.) 2001] |
| A. | \[x\] and \[B\] |
| B. | \[C\] and \[{{z}^{-1}}\] |
| C. | If assertion is true but reason is false. |
| D. | \[x\] and \[A\] |
| Answer» E. | |
| 23. |
A highly rigid cubical block \[A\] of small mass \[M\] and side \[L\] is fixed rigidly onto another cubical block \[B\]of the same dimensions and of low modulus of rigidity \[\eta \] such that the lower face of \[A\] completely covers the upper face of \[B\]. The lower face of \[B\]is rigidly held on a horizontal surface. A small force \[F\] is applied perpendicular to one of the side faces of \[A\]. After the force is withdrawn block \[A\] executes small oscillations. The time period of which is given by [IIT 1992] |
| A. | \[2\pi \sqrt{\frac{M\eta }{L}}\] |
| B. | \[2\pi \sqrt{\frac{L}{M\eta }}\] |
| C. | If assertion is true but reason is false. |
| D. | \[2\pi \sqrt{\frac{M}{\eta L}}\] |
| Answer» E. | |
| 24. |
If the acceleration due to gravity is \[10\,m{{s}^{-2}}\] and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is [Kerala PET 2002] |
| A. | 360000 |
| B. | 72,000 |
| C. | If assertion is true but reason is false. |
| D. | 129600 |
| Answer» E. | |
| 25. |
Assertion: Avogadro number is the number of atoms in one gram mole. Reason: Avogadro number is a dimensionless constant. |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | 3 |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» D. If the assertion and reason both are false. | |
| 26. |
Assertion: In\[y=A\sin (\omega \,t-kx),\]\[(\omega t-kx)\]is dimensionless. Reason: Because dimension of \[\omega =[{{M}^{0}}{{L}^{0}}T].\] |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | 5.2% |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» D. If the assertion and reason both are false. | |
| 27. |
Assertion: ?Light year? and ?Wavelength? both measure distance. Reason: Both have dimensions of time. |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | \[\frac{0.1\times 100}{3.53}\] |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» D. If the assertion and reason both are false. | |