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.
| 151. |
If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm then the rod B is longer than rod A by [J&K CET 2005] |
| A. | 0.94 ± 0.00 cm |
| B. | 0.94 ± 0.01 cm |
| C. | 0.94 ± 0.02 cm |
| D. | 0.94 ± 0.005 cm |
| Answer» D. 0.94 ± 0.005 cm | |
| 152. |
If \[L=2.331\,cm,\ B=2.1\,cm\], then \[L+B=\] [DCE 2003] |
| A. | 4.431 cm |
| B. | 4.43 cm |
| C. | 4.4 cm |
| D. | 4 cm |
| Answer» D. 4 cm | |
| 153. |
If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is |
| A. | 25% |
| B. | 50% |
| C. | 100% |
| D. | 125% |
| Answer» E. | |
| 154. |
A physical quantity P is given by P=\[\frac{{{A}^{3}}{{B}^{\frac{1}{2}}}}{{{C}^{-4}}{{D}^{\frac{3}{2}}}}\]. The quantity which brings in the maximum percentage error in P is |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 155. |
According to Joule's law of heating, heat produced \[H={{I}^{2}}\]Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is |
| A. | \[\pm \]17% |
| B. | \[\pm \]16% |
| C. | \[\pm \]19% |
| D. | \[\pm \]25% |
| Answer» C. \[\pm \]19% | |
| 156. |
In an experiment, the following observation's were recorded : L = 2.820 m, M = 3.00 kg, l = 0.087 cm, Diameter D = 0.041 cm Taking g = 9.81 \[m/{{s}^{2}}\]using the formula , Y=\[\frac{4MgL}{\pi {{D}^{2}}l}\], the maximum permissible error in Y is |
| A. | 7.96% |
| B. | 4.56% |
| C. | 6.50% |
| D. | 8.42% |
| Answer» D. 8.42% | |
| 157. |
The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed |
| A. | 11% |
| B. | 8% |
| C. | 5% |
| D. | 1% |
| Answer» C. 5% | |
| 158. |
The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. and radius is 2.0 cm. The percentage error in the calculated value of the volume will be |
| A. | 1% |
| B. | 2% |
| C. | 3% |
| D. | 4% |
| Answer» D. 4% | |
| 159. |
The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00\[\pm 0.05\]) Newton and weight in water is (4.00\[\pm \]0.05) Newton. Then the relative density along with the maximum permissible percentage error is |
| A. | 5.0 \[\pm \]11% |
| B. | 5.0 \[\pm \]1% |
| C. | 5.0 \[\pm \]6% |
| D. | 1.25 \[\pm \]5% |
| Answer» B. 5.0 \[\pm \]1% | |
| 160. |
The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is |
| A. | 0.1 s |
| B. | 0.11 s |
| C. | 0.01 s |
| D. | 1.0 s |
| Answer» C. 0.01 s | |
| 161. |
A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = \[{{b}^{\alpha }}{{c}^{\beta }}/{{d}^{\gamma }}{{e}^{\delta }}\]. If the maximum errors in the measurement of b, c, d and e are \[{{b}_{1}}\]%, \[{{c}_{1}}\]%, \[{{d}_{1}}\]% and \[{{e}_{1}}\]%, then the maximum error in the value of a determined by the experiment is |
| A. | (\[{{b}_{1}}\,+\,{{c}_{1}}\,+\,{{d}_{1}}\,+\,{{e}_{1}}\])% |
| B. | (\[{{b}_{1\,}}\,+\,{{c}_{1}}\,-\,{{d}_{1}}\,-\,{{e}_{1}}\])% |
| C. | (\[\alpha {{b}_{1}}\,+\,\beta {{c}_{1}}\,-\,\gamma {{d}_{1}}\,-\delta {{e}_{1}}\])% |
| D. | (\[\alpha {{b}_{1}}+\,\beta {{c}_{1}}\,+\,\gamma {{d}_{1}}\,+\,\delta {{e}_{1}}\])% |
| Answer» E. | |
| 162. |
In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct |
| A. | (1) Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy (2) If one travels 478 km by rail and 397 m. by road, the total distance travelled is 478 km. Only (1) is correct |
| B. | Only (2) is correct |
| C. | Both are correct |
| D. | None of them is correct. |
| Answer» D. None of them is correct. | |
| 163. |
A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of lengthlmetre is heated through 10ºC |
| A. | 4% |
| B. | 8% |
| C. | 16% |
| D. | None of the above |
| Answer» B. 8% | |
| 164. |
Accuracy of measurement is determined by |
| A. | Absolute error |
| B. | Percentage error |
| C. | Both |
| D. | None of these |
| Answer» C. Both | |
| 165. |
The decimal equivalent of 1/20 upto three significant figures is |
| A. | 0.0500 |
| B. | 0.05000 |
| C. | 0.0050 |
| D. | 5.0 × 10-2 |
| Answer» B. 0.05000 | |
| 166. |
The period of oscillation of a simple pendulum is given by \[T=2\pi \sqrt{\frac{l}{g}}\]where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is |
| A. | 0.1% |
| B. | 1% |
| C. | 0.2% |
| D. | 0.8% |
| Answer» D. 0.8% | |
| 167. |
The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are [EAMCET (Eng.) 2000] |
| A. | Mass, time |
| B. | Time, length |
| C. | Mass, length |
| D. | Time, mole |
| Answer» D. Time, mole | |
| 168. |
\[M{{L}^{3}}{{T}^{-1}}{{Q}^{-2}}\] is dimension of [RPET 2000] |
| A. | Resistivity |
| B. | Conductivity |
| C. | Resistance |
| D. | None of these |
| Answer» B. Conductivity | |
| 169. |
If the speed of light \[(c)\], acceleration due to gravity \[(g)\] and pressure \[(p)\] are taken as the fundamental quantities, then the dimension of gravitational constant is [AMU (Med.) 1999] |
| A. | \[{{c}^{2}}{{g}^{0}}{{p}^{-2}}\] |
| B. | \[{{c}^{0}}{{g}^{2}}{{p}^{-1}}\] |
| C. | \[c{{g}^{3}}{{p}^{-2}}\] |
| D. | \[{{c}^{-1}}{{g}^{0}}{{p}^{-1}}\] |
| Answer» C. \[c{{g}^{3}}{{p}^{-2}}\] | |
| 170. |
If the time period \[(T)\] of vibration of a liquid drop depends on surface tension \[(S)\], radius \[(r)\] of the drop and density \[(\rho )\] of the liquid, then the expression of \[T\] is [AMU (Med.) 2000] |
| A. | \[T=k\sqrt{\rho {{r}^{3}}/S}\] |
| B. | \[T=k\sqrt{{{\rho }^{1/2}}{{r}^{3}}/S}\] |
| C. | \[T=k\sqrt{\rho {{r}^{3}}/{{S}^{1/2}}}\] |
| D. | None of these |
| Answer» B. \[T=k\sqrt{{{\rho }^{1/2}}{{r}^{3}}/S}\] | |
| 171. |
The dimensions of inter atomic force constant are [UPSEAT 1999] |
| A. | \[M{{T}^{-2}}\] |
| B. | \[ML{{T}^{-1}}\] |
| C. | \[ML{{T}^{-2}}\] |
| D. | \[M{{L}^{-1}}{{T}^{-1}}\] |
| Answer» B. \[ML{{T}^{-1}}\] | |
| 172. |
The physical quantity which has the dimensional formula \[{{M}^{1}}{{T}^{-3}}\] is [CET 1998] |
| A. | Surface tension |
| B. | Solar constant |
| C. | Density |
| D. | Compressibility |
| Answer» C. Density | |
| 173. |
Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful [CPMT 1997] |
| A. | \[A/B\] |
| B. | \[A+B\] |
| C. | \[A-B\] |
| D. | None |
| Answer» B. \[A+B\] | |
| 174. |
Given that \[v\] is speed, \[r\] is the radius and \[g\] is the acceleration due to gravity. Which of the following is dimensionless [CET 1998] |
| A. | \[{{v}^{2}}/rg\] |
| B. | \[{{v}^{2}}r/g\] |
| C. | \[{{v}^{2}}g/r\] |
| D. | \[{{v}^{2}}rg\] |
| Answer» B. \[{{v}^{2}}r/g\] | |
| 175. |
Dimensions of one or more pairs are same. Identify the pairs [IIT 1986] |
| A. | Torque and work |
| B. | Angular momentum and work |
| C. | Energy and Young's modulus |
| D. | Light year and wavelength |
| Answer» B. Angular momentum and work | |
| 176. |
The force \[F\] on a sphere of radius \['a'\] moving in a medium with velocity \['v'\] is given by \[F=6\pi \eta av\]. The dimensions of \[\eta \] are [CBSE PMT 1997; DPMT 2000] |
| A. | \[M{{L}^{-1}}{{T}^{-1}}\] |
| B. | \[M{{T}^{-1}}\] |
| C. | \[ML{{T}^{-2}}\] |
| D. | \[M{{L}^{-3}}\] |
| Answer» B. \[M{{T}^{-1}}\] | |
| 177. |
Which physical quantities have the same dimension [CPMT 1997] |
| A. | Couple of force and work |
| B. | Force and power |
| C. | Latent heat and specific heat |
| D. | Work and power |
| Answer» B. Force and power | |
| 178. |
Dimensions of magnetic field intensity is [RPMT 1997; EAMCET (Med.) 2000; MP PET 2003] |
| A. | \[[{{M}^{0}}{{L}^{-1}}{{T}^{0}}{{A}^{1}}]\] |
| B. | \[[ML{{T}^{-1}}{{A}^{-1}}]\] |
| C. | \[[M{{L}^{0}}{{T}^{-2}}{{A}^{-1}}]\] |
| D. | \[[ML{{T}^{-2}}A]\] |
| Answer» D. \[[ML{{T}^{-2}}A]\] | |
| 179. |
\[M{{L}^{-1}}{{T}^{-2}}\] represents [EAMCET (Med.) 1995; Pb. PMT 2001] |
| A. | Stress |
| B. | Young's Modulus |
| C. | Pressure |
| D. | All the above three quantities |
| Answer» E. | |
| 180. |
The physical quantity that has no dimensions [EAMCET (Engg.) 1995] |
| A. | Angular Velocity |
| B. | Linear momentum |
| C. | Angular momentum |
| D. | Strain |
| Answer» E. | |
| 181. |
Dimensions of \[CR\] are those of [EAMCET (Engg.) 1995; AIIMS 1999] |
| A. | Frequency |
| B. | Energy |
| C. | Time period |
| D. | Current |
| Answer» D. Current | |
| 182. |
Let \[[{{\varepsilon }_{0}}]\] denotes the dimensional formula of the permittivity of the vacuum and \[[{{\mu }_{0}}]\] that of the permeability of the vacuum. If \[M=\text{mass}\], \[L=\text{length}\], \[T=\text{Time}\] and \[I=\text{electric current}\], then [IIT 1998] |
| A. | \[[{{\varepsilon }_{0}}]={{M}^{-1}}{{L}^{-3}}{{T}^{2}}I\] |
| B. | \[[{{\varepsilon }_{0}}]={{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{I}^{2}}\] |
| C. | \[[{{\mu }_{0}}]=ML{{T}^{-2}}{{I}^{-2}}\] |
| D. | \[[{{\mu }_{0}}]=M{{L}^{2}}{{T}^{-1}}I\] |
| Answer» C. \[[{{\mu }_{0}}]=ML{{T}^{-2}}{{I}^{-2}}\] | |
| 183. |
Dimensions of the following three quantities are the same [MP PET 1997] |
| A. | Work, energy, force |
| B. | Velocity, momentum, impulse |
| C. | Potential energy, kinetic energy, momentum |
| D. | Pressure, stress, coefficient of elasticity |
| Answer» E. | |
| 184. |
The dimensions of Planck's constant and angular momentum are respectively [CPMT 1999; BCECE 2004] |
| A. | \[M{{L}^{2}}{{T}^{-1}}\] and \[ML{{T}^{-1}}\] |
| B. | \[M{{L}^{2}}{{T}^{-1}}\] and \[M{{L}^{2}}{{T}^{-1}}\] |
| C. | \[ML{{T}^{-1}}\] and \[M{{L}^{2}}{{T}^{-1}}\] |
| D. | \[ML{{T}^{-1}}\] and \[M{{L}^{2}}{{T}^{-2}}\] |
| Answer» C. \[ML{{T}^{-1}}\] and \[M{{L}^{2}}{{T}^{-1}}\] | |
| 185. |
If \[C\] and \[R\] represent capacitance and resistance respectively, then the dimensions of \[RC\] are [CPMT 1981, 85; CBSE PMT 1992, 95; Pb. PMT 1999] |
| A. | \[{{M}^{0}}{{L}^{0}}{{T}^{2}}\] |
| B. | \[{{M}^{0}}{{L}^{0}}T\] |
| C. | \[M{{L}^{-1}}\] |
| D. | None of the above |
| Answer» C. \[M{{L}^{-1}}\] | |
| 186. |
If velocity \[v\], acceleration \[A\] and force \[F\] are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of \[v,\,A\] and \[F\] would be |
| A. | \[F{{A}^{-1}}v\] |
| B. | \[F{{v}^{3}}{{A}^{-2}}\] |
| C. | \[F{{v}^{2}}{{A}^{-1}}\] |
| D. | \[{{F}^{2}}{{v}^{2}}{{A}^{-1}}\] |
| Answer» C. \[F{{v}^{2}}{{A}^{-1}}\] | |
| 187. |
If \[R\] and \[L\] represent respectively resistance and self-inductance, which of the following combinations has the dimensions of frequency [MP PMT 1996, 2000, 02; MP PET 1999] |
| A. | \[\frac{R}{L}\] |
| B. | \[\frac{L}{R}\] |
| C. | \[\sqrt{\frac{R}{L}}\] |
| D. | \[\sqrt{\frac{L}{R}}\] |
| Answer» B. \[\frac{L}{R}\] | |
| 188. |
In the following list, the only pair which have different dimensions, is [Manipal MEE 1995] |
| A. | Linear momentum and moment of a force |
| B. | Planck's constant and angular momentum |
| C. | Pressure and modulus of elasticity |
| D. | Torque and potential energy |
| Answer» B. Planck's constant and angular momentum | |
| 189. |
The dimensions of surface tension are [MP PMT 1994, 99; UPSEAT 1999] |
| A. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| B. | \[ML{{T}^{-2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-1}}\] |
| D. | \[M{{T}^{-2}}\] |
| Answer» E. | |
| 190. |
The dimension of the ratio of angular to linear momentum is [MNR 1994] |
| A. | \[{{M}^{0}}{{L}^{1}}{{T}^{0}}\] |
| B. | \[{{M}^{1}}{{L}^{1}}{{T}^{-1}}\] |
| C. | \[{{M}^{1}}{{L}^{2}}{{T}^{-1}}\] |
| D. | \[{{M}^{-1}}{{L}^{-1}}{{T}^{-1}}\] |
| Answer» B. \[{{M}^{1}}{{L}^{1}}{{T}^{-1}}\] | |
| 191. |
The pair having the same dimensions is [MP PET 1994; CPMT 1996] |
| A. | Angular momentum, work |
| B. | Work, torque |
| C. | Potential energy, linear momentum |
| D. | Kinetic energy, velocity |
| Answer» C. Potential energy, linear momentum | |
| 192. |
The dimension of quantity \[(L/RCV)\] is [Roorkee 1994] |
| A. | \[[A]\] |
| B. | \[[{{A}^{2}}]\] |
| C. | \[[{{A}^{-1}}]\] |
| D. | None of these |
| Answer» D. None of these | |
| 193. |
Dimensional formula for torque is [DPMT 1984; IIT 1983; CBSE PMT 1990; MNR 1988; AIIMS 2002; BHU 1995, 2001; RPMT 1999; RPET 2003; DCE 1999, 2000; DCE 2004] |
| A. | \[{{L}^{2}}M{{T}^{-2}}\] |
| B. | \[{{L}^{-1}}M{{T}^{-2}}\] |
| C. | \[{{L}^{2}}M{{T}^{-3}}\] |
| D. | \[LM{{T}^{-2}}\] |
| Answer» B. \[{{L}^{-1}}M{{T}^{-2}}\] | |
| 194. |
Dimensions of kinetic energy are [Bihar PET 1983; DPET 1993; AFMC 1991] |
| A. | \[M{{L}^{2}}{{T}^{-2}}\] |
| B. | \[{{M}^{2}}L{{T}^{-1}}\] |
| C. | \[M{{L}^{2}}{{T}^{-1}}\] |
| D. | \[M{{L}^{3}}{{T}^{-1}}\] |
| Answer» B. \[{{M}^{2}}L{{T}^{-1}}\] | |
| 195. |
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. | Momentum and impulse |
| D. | Stress and strain |
| Answer» D. Stress and strain | |
| 196. |
Dimensions of time in power are [EAMCET 1982] |
| A. | \[{{T}^{-1}}\] |
| B. | \[{{T}^{-2}}\] |
| C. | \[{{T}^{-3}}\] |
| D. | \[{{T}^{0}}\] |
| Answer» D. \[{{T}^{0}}\] | |
| 197. |
Dimensions of strain are [MP PET 1984; SCRA 1986] |
| A. | \[ML{{T}^{-1}}\] |
| B. | \[M{{L}^{2}}{{T}^{-1}}\] |
| C. | \[ML{{T}^{-2}}\] |
| D. | \[{{M}^{0}}{{L}^{0}}{{T}^{0}}\] |
| Answer» E. | |
| 198. |
Inductance \[L\] can be dimensionally represented as [CBSE PMT 1989, 92; IIT 1983; CPMT 1992; DPMT 1999; KCET 2004; J&K CET 2005] |
| A. | \[M{{L}^{2}}{{T}^{-2}}{{A}^{-2}}\] |
| B. | \[M{{L}^{2}}{{T}^{-4}}{{A}^{-3}}\] |
| C. | \[M{{L}^{-2}}{{T}^{-2}}{{A}^{-2}}\] |
| D. | \[M{{L}^{2}}{{T}^{4}}{{A}^{3}}\] |
| Answer» B. \[M{{L}^{2}}{{T}^{-4}}{{A}^{-3}}\] | |
| 199. |
If \[P\] represents radiation pressure, \[c\] represents speed of light and \[Q\] represents radiation energy striking a unit area per second, then non-zero integers \[x,\,y\] and \[z\] such that \[{{P}^{x}}{{Q}^{y}}{{c}^{z}}\] is dimensionless, are [AFMC 1991; CBSE PMT 1992; CPMT 1981, 92; MP PMT 1992] |
| A. | \[x=1,\,\,y=1,\,\,z=-1\] |
| B. | \[x=1,\,y=-1,\,z=1\] |
| C. | \[x=-1,\,y=1,\,z=1\] |
| D. | \[x=1,\,y=1,\,z=1\] |
| Answer» C. \[x=-1,\,y=1,\,z=1\] | |
| 200. |
The dimensions of pressure are [CPMT 1977; MP PMT 1994] |
| A. | \[ML{{T}^{-2}}\] |
| B. | \[M{{L}^{-2}}{{T}^{2}}\] |
| C. | \[M{{L}^{-1}}{{T}^{-2}}\] |
| D. | \[ML{{T}^{2}}\] |
| Answer» D. \[ML{{T}^{2}}\] | |