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Periodic Test-I(Part-A)

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Solution of 5.0 × 105 + 3.0 × 106 =

a)

8.0 × 106

b)

8.0 × 105

c)

3.5 × 105

d)

3.5 × 106

2.

Significant figure is 150.0

a)

2

b)

3

c)

4

d)

5

3.

The resistance  R=VI, R=\frac{V}{I},\  where   V=(100±5)VV=\left(100\pm5\right)V  and I=(10±2)AI=\left(10\pm2\right)A  then percentage of error in resistance is

 

a)

30%

b)

12%

c)

25%

d)

33%

4.

A physical quantity ρ is related to four variables α,β,γ and η as  \rho=\frac{\alpha^2\beta^3}{\eta\sqrt{\gamma}}  

The percentage errors of measurements in α, β ,γ and η are 1%, 3%, 4% and 2% respectively. Find
the percentage error in ρ.

a)

15%

b)

13%

c)

14%

d)

17%

5.

If velocity, time and force were chosen as basic quantities, find the dimensions of mass

a)

[ FTV-1]

b)

[M]

c)

[FMT]

d)

[M-1VT}

6.

The dimensions of the quantities in one (or more) of the following pairs are the not same. Identify the pair (s).

a)

Torque and work

b)

Weight and Force

c)

Light year and wavelength

d)

None of these

7.

The coordinate of an object is given as a function of time by x = 7t - 3t2, where x is in metersand t is in seconds. Its average velocity over the interval from t = 0 to t = 4 s is:

a)

5 m/s

b)

-5 m/s

c)

11 m/s

d)

-11 m/s

8.

How far does a car travel in 6 s if its initial velocity is 2 m/s and its acceleration is 2 m/s2 in the forward direction?

a)

12m

b)

24m

c)

36m

d)

48 m

9.

A baseball is hit straight up and is caught by the catcher 2.0 s later. The maximum height of the ball during this interval is:(Given g=10m/s2)

a)

5 m

b)

10 m

c)

15 m

d)

20 m

10.

A car rounds a 20-m radius curve at 10 m/s. The magnitude of its acceleration is:

a)

2.0 m/s2

b)

40.0 m/s2

c)

5.0 m/s2

d)

25.0 m/s2

11.

Relation Between Maximum Horizontal range and height attended by angular projectile

a)

H= Rmax4\frac{R_{\max}}{\text{4}}

b)

H= Rmax2\frac{R_{\max}}{2}

c)

R= Hmax4\frac{H_{\max}}{4}

d)

R= Hmax2\frac{H_{\max}}{2}

12.

If vector  A=4i+3j5k \overrightarrow{A}=4i+3j-5k\  and  B=i+2j+mk \overrightarrow{B}=i+2j+mk\   are perpendicular to each other, then value of  mm  is

a)

-2

b)

2

c)

22

d)

-12

13.

The value of  

 i.\left(j\times k\right)
 
 

a)

1

b)

0

c)

 ii  

d)

-1

14.

Find the angle between  j\cdot\left(j+k\right)  

a)

 90°90\degree  

b)

 45°45\degree  

c)

 60°60\degree  

d)

 30°30\degree  

15.

The graph represents the straight line motion of a car. How far does the car travel between t = 2 s and t = 5 s

a)

4 m4\ m

b)

12 m12\ m

c)

24 m24\ m

d)

36 m36\ m

16.

A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45. With what speed was it thrown?

a)

14 m/s

b)

20 m/s

c)

28 m/s

d)

32 m/s

17.

The angular speed of the second hand of a watch is:

a)

(π/1800) rad/s

b)

(π/60) rad/s

c)

(π/30) rad/s

d)

(2π) rad/s

18.

One revolution is the same as:

a)

1 rad

b)

57 rad

c)

π/2 rad

d)

2π rad

19.

A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball ?

a)

25m

b)

50m

c)

100m

d)

20220\sqrt{2} m

20.

Which of the following is the most precise device for measuring length :

a)

a vernier callipers with 20 divisions on the sliding scale

b)

a screw gauge of pitch 1 mm and 100 divisions on the circular scale

c)

an optical instrument that can measure length to within a wavelength of light

d)

None of these