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1. The estimate of absolute error in the measurement of time using a clock is $10^{-2}~\text{s}.$ The time difference, $t=t_1-t_2,$ between two events is determined by using the clock. The error in $t$ is:

1.	$10^{-2}~\text{s}$	2.	$2\times10^{-2}~\text{s}$
3.	${\Large\frac12}\times10^{-2}~\text{s}$	4.	zero

2. 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:
1. $1\%$
2. $3\%$
3. $4\%$
4. $5\%$

3. The dimension of which group of quantities is the same? 
$h$ : Planck's constant, $K$ : kinetic energy, $\omega$ : angular speed/frequency, $F$: force, $L$ : inductance, $i$ : current, $q$ : charge, $t$ : time, $x$: distance
1. $h, ~Ftx,~ Liq$ 
2. $K , h\omega , \omega Li$
3. $Fx, ~Li^2,~K \omega$
4. $\dfrac{Fx}{t} ,~ Kx, ~ ht$

4. Among the following numerical values, which one has three significant figures?
1. $0.300$
2. $30.30$
3. $0.030$
4. $3.033$

5. A student measured the diameter of a small steel ball using a screw gauge of least count $0.001$ cm. The main scale reading is $5$ mm and zero of circular scale division coincides with $25$ divisions above the reference level. If the screw gauge has a zero error of $-0.004$ cm, the correct diameter of the ball is:

1.	$0.521$ cm	2.	$0.525$ cm
3.	$0.053$ cm	4.	$0.529$ cm

6. The quantities which have the same dimensions as those of solid angle are:
1. stress and angle
2. strain and arc
3. angular speed and stress
4. strain and angle

7. 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:

1.	$0.02~\text{mm}$	2.	$0.05~\text{mm}$
3.	$0.10~\text{mm}$	4.	$0.20~\text{mm}$

8.

A screw gauge gives the following readings when used to measure the diameter of a wire:
Main scale reading: $0$ mm
Circular scale reading: $52$ divisions 
Given that $1$ mm on the main scale corresponds to $100$ divisions on the circular scale, the diameter of the wire that can be inferred from the given data is:

1.	$0.26$ cm	2.	$0.052$ cm
3.	$0.52$ cm	4.	$0.026$ cm

9. Match the units mentioned in List-I with the units in List-II.

	List-I		List-II
(a)	H/s	(i)	s2
(b)	H×A	(ii)	Wb
(c)	H×F	(iii)	s
(d)	$\Omega$×F	(iv)	$\Omega$

 

1.	(a)–(ii), (b)–(iv), (c)–(i), (d)–(iii)
2.	(a)–(iv), (b)–(ii), (c)–(i), (d)–(iii)
3.	(a)–(iv), (b)–(ii), (c)–(iii), (d)–(i)
4.	(a)–(ii), (b)–(iii), (c)–(iv), (d)–(i)

10.

Using a screw gauge with pitch $0.1 ~\text{cm}$ and $50$ divisions on its circular scale, the thickness of an object is measured. It should be accurately recorded as:
1. $2.124~\text{cm}$
2. $2.121~\text{cm}$
3. $2.125~\text{cm}$
4. $2.123~\text{cm}$

11. The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

1.	Random errors	2.	Instrumental errors
3.	Personal errors	4.	Least count errors

12. The least count of a stopwatch is $0.1$ sec. The time of $20$ oscillations of the pendulum is found to be $20$ sec. The percentage error in the time period is:
1. $0.25\%$
2. $0.5\%$
3. $0.75\%$
4. $1.0\%$

13. Match List-I with List-II.

List-I		List-II
(a)	Gravitational constant ($G$)	(i)	$[{L}^2 {~T}^{-2}]$
(b)	Gravitational potential energy	(ii)	$[{M}^{-1} {~L}^3 {~T}^{-2}]$
(c)	Gravitational potential	(iii)	$[{LT}^{-2}]$
(d)	Gravitational intensity	(iv)	$[{ML}^2 {~T}^{-2}]$

Choose the correct answer from the options given below:

	(a)	(b)	(c)	(d)
1.	(iv)	(ii)	(i)	(iii)
2.	(ii)	(i)	(iv)	(iii)
3.	(ii)	(iv)	(i)	(iii)
4.	(ii)	(iv)	(iii)	(i)

14. Taking into account the significant figures, what is the value of $(9.99~\text{m}-0.0099~\text{m})$?
1. $9.98~\text{m}$
2. $9.980~\text{m}$
3. $9.9~\text{m}$
4. $9.9801~\text{m}$

15. Express the result of the calculation to $3$ significant figures:
$2\times0.536+0.0050+2.100$
1. $3.177$
2. $3.18$
3. $3.19$
4. $3.2$