NEET Practice Questions

Q1. In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and $7^{\text{th}}$  Vernier division coincides with a main scale reading. If the value of $1$ main scale division is $1$ mm and there are $10$ Vernier scale divisions, then the Vernier caliper has: 

Q2. The dimensional formula of  $\dfrac{1}{2}\varepsilon_0 E^2$  ( $\varepsilon_0$ =permittivity of vacuum and  $E$ =electric field) is  ${M}^{a} {~L}^{{b}} {~T}^{{c}} .$  The value of  $2a-b+c$  is:

Q3. The potential energy of a particle changes with distance $x$ from a fixed origin as  $V=\dfrac{A \sqrt{x}}{x+B},$  where  $A$  and  $B$  are constant with appropriate dimensions. The dimensions of  $AB$  are:

Q4. The density  $\rho$  of a uniform cylinder is determined by measuring its mass  $m,$  length  $l$  and diameter  $d.$  The measured values of  $m,l$  and  $d$  are  $97.42 \pm 0.02 ~\text{g},$   $8.35 \pm 0.05 ~\text{mm} \text { and } 20.20 \pm 0.02 ~\text{mm} \text {,}$  respectively. Calculated percentage fractional error in  $\rho$  is:  

Q5. Match List-I with List-II.

List-I		List-II
$\mathrm{A.}$	Boltzmann constant	$\mathrm{I.}$	${\left[{M}^{-1} {~L}^3 {~T}^{-2}\right]}$
$\mathrm{B.}$	Stefan’s constant	$\mathrm{II.}$	${\left[{M} {~L}^2 {~T}^{-1}\right]}$
$\mathrm{C.}$	Planck’s constant	$\mathrm{III.}$	${\left[{M} {~L}^2 {~T}^{-2} {~K}^{-1}\right]}$
$\mathrm{D.}$	Gravitational constant	$\mathrm{IV.}$	${\left[{M} {~L}^0 {~T}^{-3} {~K}^{-4}\right]}$

Choose the correct answer from the option given below:

Q6. The percentage error in the calculated volume of a sphere, if there is  $2\%$  error in its diameter measurement, is: 

Q7. In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There are  $100$  divisions in circular scale and pitch of screw gauge is  $0.1~\text{mm}.$  When diameter of a sphere is measured, the reading of main scale is $5~\text{mm}$  and $50^\text{th}$  division of circular scale coincides with the reference line of main scale. The diameter of sphere is: (in mm)

Q8. Dimensions of universal gravitional constant  $(G)$  in terms of Planck’s constant  $(h)$ , distance  $(L)$ , mass  $(M)$  and time  $(T)$  are:

Q9. A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field  $\overrightarrow{{E}}_1={E}_0 \hat{x} .$  If another electric field  $\overrightarrow{{E}}_2=2 {E}_0(\hat{y}+\hat{z})$  is introduced to the system, what will be the percentage change in the frequency of the oscillation (approximate)?

Q10. Match the LIST-I with LIST-II

List- I		List-II
$\mathrm{(A)}$	Planck’s constant	$\mathrm{(I)}$	$[M L^2T^{-2}]$
$\mathrm{(B)}$	Stopping potential	$\mathrm{(II)}$	$[T^{-1}]$
$\mathrm{(C)}$	Work function	$\mathrm{(III)}$	$[M L^2T^{-1}]$
$\mathrm{(D)}$	Threshold frequency	$\mathrm{(IV)}$	$[M L^2 T^{-3}A^{-1}]$

Choose the correct answer from the options given below: