MCQOPTIONS
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MCQOPTIONS
This section includes 383 Mcqs, each offering curated multiple-choice questions to sharpen your NEET knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
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. | Angular momentum and Planck's constant |
| D. | Impulse and momentum |
| Answer» B. Work and torque | |
| 252. |
In a system of units if force (F), acceleration and time (T) are taken as fundamental units then the dimensional formula of energy is? [BHU 2005] |
| A. | \[F{{A}^{2}}T\] |
| B. | \[FA{{T}^{2}}\] |
| C. | \[{{F}^{2}}AT\] |
| D. | \[FAT\] |
| Answer» C. \[{{F}^{2}}AT\] | |
| 253. |
"Pascal-Second" has dimension of? [AFMC 2005] |
| A. | Force |
| B. | Energy |
| C. | Pressure |
| D. | Coefficient of viscosity |
| Answer» E. | |
| 254. |
Position of a body with acceleration 'a' is given by \[x=K{{a}^{m}}{{t}^{n}},\]here t is time. Find dimension of m and n? [Orissa JEE 2005] |
| A. | \[m=1\], \[n=1\] |
| B. | \[m=1,\ n=2\] |
| C. | \[m=2,\ n=1\] |
| D. | \[m=2,\ n=2\] |
| Answer» C. \[m=2,\ n=1\] | |
| 255. |
In the relation \[y=a\cos (\omega t-kx)\], the dimensional formula for k is? [BHU 2004] |
| A. | \[[{{M}^{0}}{{L}^{-1}}{{T}^{-1}}]\] |
| B. | \[[{{M}^{0}}L{{T}^{-1}}]\] |
| C. | \[[{{M}^{0}}{{L}^{-1}}{{T}^{0}}]\] |
| D. | \[[{{M}^{0}}LT]\] |
| Answer» D. \[[{{M}^{0}}LT]\] | |
| 256. |
The dimensions of universal gas constant is? [Pb. PET 2003] |
| A. | \[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\] |
| B. | \[[{{M}^{2}}L{{T}^{-2}}\theta ]\] |
| C. | \[[M{{L}^{3}}{{T}^{-1}}{{\theta }^{-1}}]\] |
| D. | None of these |
| Answer» B. \[[{{M}^{2}}L{{T}^{-2}}\theta ]\] | |
| 257. |
If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be? [J & K CET 2004] |
| A. | \[F{{L}^{-1}}{{T}^{2}}\] |
| B. | \[F{{L}^{-1}}{{T}^{-2}}\] |
| C. | \[F{{L}^{-1}}{{T}^{-1}}\] |
| D. | \[F{{L}^{2}}{{T}^{2}}\] |
| Answer» B. \[F{{L}^{-1}}{{T}^{-2}}\] | |
| 258. |
The dimensions of shear modulus are? [MP PMT 2004] |
| A. | \[ML{{T}^{-1}}\] |
| B. | \[M{{L}^{2}}{{T}^{-2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| D. | \[ML{{T}^{-2}}\] |
| Answer» D. \[ML{{T}^{-2}}\] | |
| 259. |
The dimensional formula of angular velocity is [JIPMER 1993; AFMC 1996; AIIMS 1998] |
| A. | \[{{M}^{0}}{{L}^{0}}{{T}^{-1}}\] |
| B. | \[ML{{T}^{-1}}\] |
| C. | \[{{M}^{0}}{{L}^{0}}{{T}^{1}}\] |
| D. | \[M{{L}^{0}}{{T}^{-2}}\] |
| Answer» B. \[ML{{T}^{-1}}\] | |
| 260. |
The dimension of \[\frac{R}{L}\] are? [MP PET 2003] |
| A. | \[{{T}^{2}}\] |
| B. | \[T\] |
| C. | \[{{T}^{-1}}\] |
| D. | \[{{T}^{-2}}\] |
| Answer» D. \[{{T}^{-2}}\] | |
| 261. |
Dimensions of potential energy are? [MP PET 2003] |
| A. | \[ML{{T}^{-1}}\] |
| B. | \[M{{L}^{2}}{{T}^{-2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| D. | \[M{{L}^{-1}}{{T}^{-1}}\] |
| Answer» C. \[M{{L}^{-1}}{{T}^{-2}}\] | |
| 262. |
The dimensions of electric potential are? [UPSEAT 2003] |
| A. | \[[M{{L}^{2}}{{T}^{-2}}{{Q}^{-1}}]\] |
| B. | \[[ML{{T}^{-2}}{{Q}^{-1}}]\] |
| C. | \[[M{{L}^{2}}{{T}^{-1}}Q]\] |
| D. | \[[M{{L}^{2}}{{T}^{-2}}Q]\] |
| Answer» B. \[[ML{{T}^{-2}}{{Q}^{-1}}]\] | |
| 263. |
Frequency is the function of density \[(\rho )\], length \[(a)\] and surface tension \[(T)\]. Then its value is? [BHU 2003] |
| A. | \[k{{\rho }^{1/2}}{{a}^{3/2}}\mathbf{/}\sqrt{T}\] |
| B. | \[k{{\rho }^{3/2}}{{a}^{3/2}}/\sqrt{T}\] |
| C. | \[k{{\rho }^{1/2}}{{a}^{3/2}}/{{T}^{3/4}}\] |
| D. | \[k{{\rho }^{1/2}}{{a}^{1/2}}/{{T}^{3/2}}\] |
| Answer» B. \[k{{\rho }^{3/2}}{{a}^{3/2}}/\sqrt{T}\] | |
| 264. |
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. | \[ML{{T}^{-2}}\] |
| D. | \[M{{L}^{2}}{{T}^{-2}}\] |
| Answer» B. \[{{M}^{0}}L{{T}^{-2}}\] | |
| 265. |
The dimensional formula of relative density is? [CPMT 2003] |
| A. | \[M{{L}^{-3}}\] |
| B. | \[L{{T}^{-1}}\] |
| C. | \[ML{{T}^{-2}}\] |
| D. | Dimensionless |
| Answer» E. | |
| 266. |
Dimension of \[R\] is? [AFMC 2003; AIIMS 2005] |
| A. | \[M{{L}^{2}}{{T}^{-1}}\] |
| B. | \[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| D. | None of these |
| Answer» C. \[M{{L}^{-1}}{{T}^{-2}}\] | |
| 267. |
The physical quantities not having same dimensions are? [AIEEE 2003] |
| A. | Speed and \[{{({{\mu }_{0}}{{\varepsilon }_{0}})}^{-1/2}}\] |
| B. | Torque and work |
| C. | Momentum and Planck's constant |
| D. | Stress and Young's modules |
| Answer» D. Stress and Young's modules | |
| 268. |
The dimensions of \[K\] in the equation \[W=\frac{1}{2}\,\,K{{x}^{2}}\] is? [Orissa JEE 2003] |
| A. | \[{{M}^{1}}{{L}^{0}}{{T}^{-2}}\] |
| B. | \[{{M}^{0}}{{L}^{1}}{{T}^{-1}}\] |
| C. | \[{{M}^{1}}{{L}^{1}}{{T}^{-2}}\] |
| D. | \[{{M}^{1}}{{L}^{0}}{{T}^{-1}}\] |
| Answer» B. \[{{M}^{0}}{{L}^{1}}{{T}^{-1}}\] | |
| 269. |
The dimensional formula for Boltzmann's constant is? [MP PET 2002; Pb. PET 2001] |
| A. | \[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\] |
| B. | \[[M{{L}^{2}}{{T}^{-2}}]\] |
| C. | \[[M{{L}^{0}}{{T}^{-2}}{{\theta }^{-1}}]\] |
| D. | \[[M{{L}^{-2}}{{T}^{-1}}{{\theta }^{-1}}]\] |
| Answer» B. \[[M{{L}^{2}}{{T}^{-2}}]\] | |
| 270. |
The dimensions of universal gravitational constant are [MP PMT 1984, 87, 97, 2000; CBSE PMT 1988, 92; 2004 [MP PET 1984, 96, 99; MNR 1992; DPMT 1984; CPMT 1978, 84, 89, 90, 92, 96; AFMC 1999; NCERT 1975; DPET 1993; AIIMS 2000; RPET 2001; Pb. PMT 2002, 03; UPSEAT 1999; BCECE 2003, 05;] |
| A. | \[{{M}^{-2}}{{L}^{2}}{{T}^{-2}}\] |
| B. | \[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| D. | \[M{{L}^{2}}{{T}^{-2}}\] |
| Answer» C. \[M{{L}^{-1}}{{T}^{-2}}\] | |
| 271. |
Which of the following quantities is dimensionless? [MP PET 2002] |
| A. | Gravitational constant |
| B. | Planck's constant |
| C. | Power of a convex lens |
| D. | None |
| Answer» E. | |
| 272. |
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. | \[{{M}^{0}}L{{T}^{-1}}\] |
| D. | \[M{{L}^{0}}{{T}^{-1}}\] |
| Answer» E. | |
| 273. |
The dimensions of emf in MKS is? [CPMT 2002] |
| A. | \[M{{L}^{-1}}{{T}^{-2}}{{Q}^{-2}}\] |
| B. | \[M{{L}^{2}}{{T}^{-2}}{{Q}^{-2}}\] |
| C. | \[ML{{T}^{-2}}{{Q}^{-1}}\] |
| D. | \[M{{L}^{2}}{{T}^{-2}}{{Q}^{-1}}\] |
| Answer» E. | |
| 274. |
Which of the two have same dimensions? [AIEEE 2002] |
| A. | Force and strain |
| B. | Force and stress |
| C. | Angular velocity and frequency |
| D. | Energy and strain |
| Answer» D. Energy and strain | |
| 275. |
Identify the pair whose dimensions are equal? [AIEEE 2002] |
| A. | Torque and work |
| B. | Stress and energy |
| C. | Force and stress |
| D. | Force and work |
| Answer» B. Stress and energy | |
| 276. |
According to Newton, the viscous force acting between liquid layers of area A and velocity gradient \[\Delta v/\Delta z\] is given by \[F=-\eta A\frac{\Delta v}{\Delta z}\] where \[\eta \] is constant called coefficient of viscosity. The dimension of \[\eta \] are? [JIPMER 2001, 02] |
| A. | \[[M{{L}^{2}}{{T}^{-2}}]\] |
| B. | \[[M{{L}^{-1}}{{T}^{-1}}]\] |
| C. | \[[M{{L}^{-2}}{{T}^{-2}}]\] |
| D. | \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] |
| Answer» C. \[[M{{L}^{-2}}{{T}^{-2}}]\] | |
| 277. |
Dimensions of charge are? [DPMT 2002] |
| A. | \[{{M}^{0}}{{L}^{0}}{{T}^{-1}}{{A}^{-1}}\] |
| B. | \[MLT{{A}^{-1}}\] |
| C. | \[{{T}^{-1}}A\] |
| D. | \[TA\] |
| Answer» E. | |
| 278. |
If the velocity of light \[(c)\], gravitational constant \[(G)\] and Planck's constant \[(h)\] are chosen as fundamental units, then the dimensions of mass in new system is [UPSEAT 2002] |
| A. | \[{{c}^{1/2}}{{G}^{1/2}}{{h}^{1/2}}\] |
| B. | \[{{c}^{1/2}}{{G}^{1/2}}{{h}^{-1/2}}\] |
| C. | \[{{c}^{1/2}}{{G}^{-1/2}}{{h}^{1/2}}\] |
| D. | \[{{c}^{-1/2}}{{G}^{1/2}}{{h}^{1/2}}\] |
| Answer» D. \[{{c}^{-1/2}}{{G}^{1/2}}{{h}^{1/2}}\] | |
| 279. |
If \[L,\,C\] and \[R\] denote the inductance, capacitance and resistance respectively, the dimensional formula for \[{{C}^{2}}LR\] is [UPSEAT 2002] |
| A. | \[[M{{L}^{-2}}{{T}^{-1}}{{I}^{0}}]\] |
| B. | \[[{{M}^{0}}{{L}^{0}}{{T}^{3}}{{I}^{0}}]\] |
| C. | \[[{{M}^{-1}}{{L}^{-2}}{{T}^{6}}{{I}^{2}}]\] |
| D. | \[[{{M}^{0}}{{L}^{0}}{{T}^{2}}{{I}^{0}}]\] |
| Answer» C. \[[{{M}^{-1}}{{L}^{-2}}{{T}^{6}}{{I}^{2}}]\] | |
| 280. |
Dimensional formula for volume elasticity is [MP PMT 1991, 2002; CPMT 1991; MNR 1986] |
| A. | \[{{M}^{1}}{{L}^{-2}}{{T}^{-2}}\] |
| B. | \[{{M}^{1}}{{L}^{-3}}{{T}^{-2}}\] |
| C. | \[{{M}^{1}}{{L}^{2}}{{T}^{-2}}\] |
| D. | \[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}\] |
| Answer» E. | |
| 281. |
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. | \[M{{L}^{2}}{{T}^{2}}{{A}^{-1}}\] |
| D. | \[M{{T}^{-2}}{{A}^{-1}}\] |
| Answer» B. \[M{{L}^{2}}{{T}^{2}}{{A}^{-2}}\] | |
| 282. |
Identify the pair which has different dimensions [KCET 2001] |
| A. | Planck's constant and angular momentum |
| B. | Impulse and linear momentum |
| C. | Angular momentum and frequency |
| D. | Pressure and Young's modulus |
| Answer» D. Pressure and Young's modulus | |
| 283. |
The dimensional formula \[{{M}^{0}}{{L}^{2}}{{T}^{-2}}\] stands for [KCET 2001] |
| A. | Torque |
| B. | Angular momentum |
| C. | Latent heat |
| D. | Coefficient of thermal conductivity |
| Answer» D. Coefficient of thermal conductivity | |
| 284. |
Out of the following which pair of quantities do not have same dimensions [RPET 2001] |
| A. | Planck's constant and angular momentum |
| B. | Work and energy |
| C. | Pressure and Young's modulus |
| D. | Torque & moment of inertia |
| Answer» E. | |
| 285. |
Which of the following pair does not have similar dimensions [AIIMS 2001] |
| A. | Stress and pressure |
| B. | Angle and strain |
| C. | Tension and surface tension |
| D. | Planck's constant and angular momentum |
| Answer» D. Planck's constant and angular momentum | |
| 286. |
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. | \[y\] and \[B/A\] |
| D. | \[x\] and \[A\] |
| Answer» E. | |
| 287. |
The physical quantity which has dimensional formula as that of \[\frac{\text{Energy}}{\text{Mass}\times \text{Length}}\] is [EAMCET (Eng.) 2000] |
| A. | Force |
| B. | Power |
| C. | Pressure |
| D. | Acceleration |
| Answer» E. | |
| 288. |
Dimensions of luminous flux are [UPSEAT 2001] |
| A. | \[M{{L}^{2}}{{T}^{-2}}\] |
| B. | \[M{{L}^{2}}{{T}^{-3}}\] |
| C. | \[M{{L}^{2}}{{T}^{-1}}\] |
| D. | \[ML{{T}^{-2}}\] |
| Answer» C. \[M{{L}^{2}}{{T}^{-1}}\] | |
| 289. |
If pressure \[P\], velocity \[V\] and time \[T\] are taken as fundamental physical quantities, the dimensional formula of force is [EAMCET (Eng.) 2000] |
| A. | \[P{{V}^{2}}{{T}^{2}}\] |
| B. | \[{{P}^{-1}}{{V}^{2}}{{T}^{-2}}\] |
| C. | \[PV{{T}^{2}}\] |
| D. | \[{{P}^{-1}}V{{T}^{2}}\] |
| Answer» B. \[{{P}^{-1}}{{V}^{2}}{{T}^{-2}}\] | |
| 290. |
Dimensional formula for latent heat is [MNR 1987; CPMT 1978, 86; IIT 1983, 89; RPET 2002] |
| A. | \[{{M}^{0}}{{L}^{2}}{{T}^{-2}}\] |
| B. | \[ML{{T}^{-2}}\] |
| C. | \[M{{L}^{2}}{{T}^{-2}}\] |
| D. | \[M{{L}^{2}}{{T}^{-1}}\] |
| Answer» B. \[ML{{T}^{-2}}\] | |
| 291. |
Select the pair whose dimensions are same |
| A. | Pressure and stress |
| B. | Stress and strain |
| C. | Pressure and force |
| D. | Power and force |
| Answer» B. Stress and strain | |
| 292. |
Assertion: Rate of flow of a liquid represents velocity of flow. Reason: The dimensions of rate of flow are [M0L1T?1]. |
| 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» E. If assertion is false but reason is true. | |
| 293. |
Assertion: Radian is the unit of distance. Reason: One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle. |
| 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» F. | |
| 294. |
Assertion: Number of significant figures in 0.005 is one and that in 0.500 is three. Reason: This is because zeros are not significant. |
| 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» D. If the assertion and reason both are false. | |
| 295. |
Assertion: L/R and CR both have same dimensions. Reason: L/R and CR both have dimension 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. | 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. | |
| 296. |
Assertion: Dimensional constants are the quantities whose value are constant. Reason: Dimensional constants are dimensionless. |
| 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» D. If the assertion and reason both are false. | |
| 297. |
Assertion: Light year and year, both measure time. Reason: Because light year is the time that light takes to reach the earth from the sun. |
| 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» E. If assertion is false but reason is true. | |
| 298. |
Assertion: A.U. is much bigger than Å. Reason: A.U. stands for astronomical unit and Å stands from Angstrom. |
| 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» C. If assertion is true but reason is false. | |
| 299. |
Assertion: Surface tension and surface energy have the same dimensions. Reason: Because both have the same S.I. unit |
| 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» D. If the assertion and reason both are false. | |
| 300. |
Assertion: Mass, length and time are fundamental physical quantities. Reason: They are independent of each other. |
| 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. | |