Q201. Plane angle and solid angle have:
- both units and dimensions
- units but no dimensions
- dimensions but no units
- no units and no dimensions
Explanation:
Hint: Plane angle and solid angle are dimensionless quantities.
Explanation: The unit of plane angle is radian while the unit of solid angle is steradian but both are dimensionless.
Hence, option (2) is the correct answer.
#339328
Exam: NEET – 2022
Q202. The mechanical quantity, which has dimensions of reciprocal of mass $(M^{-1}),$ is:
- angular momentum
- coefficient of thermal conductivity
- torque
- gravitational constant
Explanation:
Hint: Use dimensional analysis.
Step 1: Find the dimensions of the given mechanical quantities.
(1) Angular momentum:
(2) Coefficient of thermal conductivity:
(3) Torque:
(4) Gravitational constant:
Step 2: Find The mechanical quantity, which has dimensions of reciprocal of mass.
The dimensional formula of the gravitational constant is:
Therefore, the gravitational constant has the dimensions of the reciprocal of mass .
Hence, option (4) is the correct answer.
We see that your answer is incorrect, Please mention reason from these.
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#368156
Exam: NEET – 2023
Q203. The diameter of a spherical bob, when measured with vernier callipers yielded the values: $3.33$ cm, $3.32$ cm, $3.34$ cm, $3.33$ cm and $3.32$ cm. The mean diameter to appropriate significant figures is:
- $3.328$ cm
- $3.3$ cm
- $3.33$ cm
- $3.32$ cm
Explanation:
Hint: .
Step 1: Find the mean diameter.
Step 2: Find the mean diameter to appropriate significant figures.
After rounding off the mean diameter to appropriate significant figures is 3.33 cm.
#368154
Exam: NEET – 2023
Q204. The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:
- Random errors
- Instrumental errors
- Personal errors
- Least count errors
Explanation:
Hint: Recall random errors.
Explanation: Random errors are those errors, unpredictable fluctuations in experimental conditions such as temperature, voltage supply, vibrations, humidity, etc., cause measurements to vary irregularly from one observation to another.
Instrumental errors are due to faulty or improperly calibrated instruments.
Personal errors are due to the observer’s mistakes (parallax, incorrect reading, etc.).
least count errors are due to the finite resolution of the measuring instrument.
Hence, option (1) is the correct answer.
#366942
Exam: NEET – 2023
Q205. A metal wire has mass $(0.4\pm 0.002)~\text{g}$ , radius $(0.3\pm 0.001)~\text{mm}$ and length $(5\pm 0.02)~\text{cm}$ . The maximum possible percentage error in the measurement of density will nearly be:
- $1.4 \%$
- $1.2 \%$
- $1.3 \%$
- $1.6 \%$
Explanation:
Hint: Use the concept of relative error.
Step 1: Find the expression for the density of the wire.
The density of the wire is given by;
Step 2: Find the maximum possible percentage error in the density of the wire.
Hence, option (4) is the correct answer.
#366919
Exam: NEET – 2023
Q206. The potential energy of a particle moving along the $x\text-$ direction varies as ${V}=\dfrac{{A}x^{2}}{\sqrt{x}+{B}}.$ The dimensions of $\dfrac{A^2}{B}$ are:
- $[{M}^{3/2}{L}^{1/2}{T}^{-3}]$
- $[M^{1/2}LT^{-3}]$
- $[{M}^2{L}^{1/2}{T}^{-4}]$
- $[ML^{2}T^{-4}]$
Explanation:
Hint:
Step: Find the dimensions of
Given:
According to the principle of homogeneity, only the physical quantities having the same dimensional formula only can be added or subtracted.
Hence, option (3) is the correct answer.
#468845
Exam: NEET – 2024
Q207. The pitch of an error-free screw gauge is $1~\text{mm},$ and there are $100$ divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads $1~\text{mm},$ and $63^\text{rd}$ division on the circular scale coincides with the reference line. The diameter of the wire is:
- $1.63 ~\text{cm}$
- $0.163 ~\text{cm}$
- $0.163~\text m$
- $1.63 ~\text m$
Explanation:
Hint:
Step: Find the diameter of the wire.
(given pitch = )
we know that
Hence, option (2) is the correct answer.
#468813
Exam: NEET – 2024
Q208. A vernier calipers has $1~\text{mm}$ marks on the main scale. It has $20$ equal divisions on the vernier scale which match with $16$ main scale divisions. The least count of this vernier calipers is:
- $0.02~\text{mm}$
- $0.05~\text{mm}$
- $0.10~\text{mm}$
- $0.20~\text{mm}$
Explanation:
Hint:
Step: Find the least count of vernier caliper.
Since, vernier scale division is equal to main scale division. Hence;
and, main scale division is equal to Hence;
Now, calculate the least count;
Hence, option (4) is the correct answer.
#456764
Exam: NEET – 2024
Q209. Match
List- I with
List- II.
|
List-I
(Measured values) |
|
List-II
(Significant figures) |
| $\mathrm{(A)}$ |
$0.001213$ |
$\mathrm{(I)}$ |
$2$ |
| $\mathrm{(B)}$ |
$2.1 \times 10^{16}$ |
$\mathrm{(II)}$ |
$3$ |
| $\mathrm{(C)}$ |
$3.70$ |
$\mathrm{(III)}$ |
$1$ |
| $\mathrm{(D)}$ |
$3000$ |
$\mathrm{(IV)}$ |
$4$ |
Choose the correct answer from the options given below:
- $\small{\mathrm{A-III, B-II, C-I, D-IV}}$
- $\small{\mathrm{A-III, B-I, C-II, D-IV}}$
- $\small{\mathrm{A-I, B-II, C-IV, D-III}}$
- $\small{\mathrm{A-IV, B-I, C-II, D-III}}$
Explanation:
Hint: Recall the rules for significant figures.
Step: Find the correct match of lists.
The significant figures of the measured value are .
The significant figures of the measured value are .
The significant figures of the measured value are .
The significant figures of the measured value are .
Therefore, the correct match is .
Hence, option (4) is the correct answer.
#456741
Exam: NEET – 2024
Q210. The percentage errors in the measurement of mass and momentum of an object are $1\%$ and $2\%$ respectively. The percentage error in the measurement of kinetic energy of the object will be:
Explanation:
Hint:
Step: Find the percentage error in the measurement of the kinetic energy of the object.
The kinetic energy of the particle is given by;
Therefore, the percentage error in the measurement of the kinetic energy of the object is
Hence, option (4) is the correct answer.
We see that your answer is incorrect, Please mention reason from these.
Silly Mistake
Conceptual Mistake
Other Reason
#456704
Exam: NEET – 2024