Q101. 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
Q102. 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
Q103. 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
Q104. 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
Q105. A force defined by; $F = \alpha t^2 + \beta t$ acts on a particle at a given time $t.$ The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:
- $\alpha t / \beta$
- $\alpha \beta t$
- $\alpha \beta / t$
- $\beta t / \alpha$
Explanation:
Hint: Recall the principle of homogeneity of dimensions.
Step: Find the dimensionless quantity.
According to the principle of homogeneity of dimensions, the dimensions of LHS = dimensions of RHS i.e.,
Therefore, the dimensionless quantity is .
Hence, option (1) is the correct answer.
#454992
Exam: NEET – 2024
Q106. In a vernier callipers, $(N+1)$ divisions of the vernier scale coincide with $N$ divisions of the main scale. If $1$ $\text{MSD}$ represents $0.1~\text{mm}$ , the vernier constant (in $\text{cm}$ ) is:
- $\dfrac{1}{100(N+1)}$
- $100N$
- $10(N+1)$
- $\dfrac{1}{10 N}$
Explanation:
Hint:
Step: Find the vernier constant () in cm.
It is given in the question that
The vernier constant or Least count is given by;
Hence, option (1) is the correct answer.
#454980
Exam: NEET – 2024
Q107. The quantities which have the same dimensions as those of solid angle are:
- stress and angle
- strain and arc
- angular speed and stress
- strain and angle
Explanation:
Hint: Recall the dimensions of the given quantities.
Step: Find the quantities which have the same dimensions as those of solid angles.
The expression of the solid angle is given by;
Therefore, the solid angle is a dimensionless quantity.
The dimensions of strain are given by;
The dimensions of the angle are given by;
Therefore, strain and angle are both dimensionless quantities.
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
#454959
Exam: NEET – 2024
Q108. Silly Mistake
Conceptual Mistake
Other Reason
