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Units and Dimensions Quiz

Total questions: 71

Worksheet time: 36mins

Name
Class
Date
1.

Which one of the below doesn't give units of energy?

a)

kW

b)

J

c)

N cm

d)

kW h

e)

g m2 s-2

2.

SI unit of the quantity of heat is,

a)

Cal

b)

W

c)

K

d)

J

e)

cd

3.

1 kW h is a unit of,

a)

Time

b)

Power

c)

Energy

d)

Stress

e)

Efficiency

4.

Which one of the following is the unit of energy?

a)

N

b)

N/sec

c)

N s

d)

N m

e)

None of the above

5.

Which of the following is not the unit of energy?

a)

J

b)

N m

c)

W

d)

kg m^2 s^-2

e)

g cm^2 s^-2

6.

eV (electron-volt) is a unit of,

a)

power

b)

energy

c)

charge

d)

voltage

e)

potential difference

7.

Which of the following is measured in Newton?

a)

Energy

b)

Force

c)

Power

d)

Pressure

e)

Work

8.

Which of the following does not represent a fundamental unit in the SI system?

a)

m

b)

N

c)

kg

d)

s

e)

K

9.

Which of the following physical quantity is not a base quantity?

a)

Weight

b)

Time

c)

Temperature

d)

Electric current

e)

Length

10.

Which of the following is not a physical quantity?

a)

Kelvin

b)

Luminous Intensity

c)

Amount of substance

d)

Resistance

e)

Current

11.

Which of the following is a derived unit?

a)

ampere

b)

mole

c)

candela

d)

newton

e)

kilogram

12.

As far as the units are concerned, which of the following quantities differ from the rest?

a)

Rotational K.E

b)

Mechanical P.E

c)

Internal energy

d)

Work

e)

Power

13.

The unit of impulse is as same as that of,

a)

Moment of force

b)

Linear momentum

c)

Rate of change of linear momentum

d)

Force

e)

Rate of change of force

14.

Which physical quantity has the correct SI unit?

a)

Temperature: Celsius

b)

Time: Minute

c)

Mass: Newton

d)

Length: Meter

e)

Amount of substance: Kilogram

15.

Which of the following has no units?

a)

Thermal capacity

b)

Magnetic force

c)

Refractive index

d)

Moment of force

e)

Angular displacement

16.

candela is the unit of

a)

Magnetic flux

b)

Intensity of electric field

c)

Luminous intensity

d)

Charge

e)

Magnetics susceptibility

17.

1 kW h is equal to,

a)

360 J

b)

1800 kJ

c)

1800 x 105 J

d)

360 x 104 kJ

e)

3600 kJ

18.

Which of the following is not a unit of power?

a)

W

b)

J/h

c)

N m/sec

d)

N/sec

e)

kW

19.

Consider the equation A=BC+DE If the equation is correct the units of A should be equal to the product of the units of B and C If the equation is correct [A]=[D/E] If [A]=[BC]=[D/E] then the equation should be definitely correct The true statement/ statements is/are,

a)

Only A

b)

Only B

c)

A & B only

d)

B & C only

e)

All A, B & C

20.

Units of a certain physical quantity when multiplied by meter cube yield the units of work. The physical quantity would be,

a)

Force

b)

Momentum

c)

Pressure

d)

Mass

e)

Velocity

21.

Which of the following quantities are dimensionless?

a)

Relative velocity

b)

Relative density

c)

Relative refractive index

d)

A only

e)

A and B only

22.

Dimensions of kilowatt-hour is,

a)

[M] [L]2 [T]-2

b)

M[L] [T]-1

c)

[M] [L]2 [T]-3

d)

[T]

e)

[T]-1

23.

The gravitational force F between two masses m1 and m2 separated by a distance r is given by, F=Gm1m2r2 where G is the universal gravitational constant. What are the dimensions of G?

a)

M-1 L3 T-2

b)

M L3 T-2

c)

M L2 T-3

d)

M-1 L2 T-3

e)

M0 L3 T-2

24.

The equation of state for n moles of an idea gas is, PV=nRT where R is the universal Gas constant and P, V and T have the usual meanings. What are the dimensions of R? (The dimensional symbol for temperature is [K])

a)

M0 L T-2 K-1

b)

M L2 T-2 K-1

c)

M0 L2 T-2 K-1

d)

M L-2 T-2 K-1

e)

M L T-2 K-1

25.

Energy E of a photon of frequency f is given by E=hf. The dimensions of h are,

a)

ML2T-1

b)

ML-1T2

c)

ML-2T-1

d)

ML2T-2

e)

ML-3T-1

26.

In the equation E=hf, E represents energy and f represents frequency. h is known as the Plank's constant. What Physical quantity below has the dimensions similar to that of Plank's constant?

a)

Power

b)

Work

c)

Torque

d)

Angular momentum

e)

Pressure

27.

The quantities L/R and RC where, L, C and R stand for inductance, capacitance and resistance respectively, have the same dimensions as those of,

a)

Velocity

b)

Acceleration

c)

Time

d)

Force

e)

Energy

28.

Which of the following has the dimensions of ML-1T-2?

a)

Torque

b)

Surface tension

c)

Viscosity

d)

Stress

e)

Strain

29.

The dimensions of the coefficient of thermal conductivity are,

a)

M[L][T-3] [K]-1

b)

M[L][T-2] [K]-1

c)

M[L][T-1] [K]-1

d)

M[L][T-2] [K]-2

e)

M[L][T-3] [K]-2

30.

Acceleration of an object in a medium is given by, a=k1g-k2v2, where g is the gravitational acceleration and v is the velocity. The dimensions of k1k2 is,

a)

L

b)

L-1

c)

LT

d)

LT-1

e)

LT-2

31.

The dimensions of k1k2 is,

a)

L

b)

L-1

c)

LT

d)

LT-1

e)

LT-2

32.

The dimensions of 'a' are,

a)

M0 L3 T-2

b)

M1 L5 T-2

c)

M1 L3 T0

d)

M1 L-2 T5

e)

M1 L-3 T2

33.

The dimensions of b are the same as those of,

a)

Velocity

b)

Amplitude

c)

Wavelength

d)

Frequency

e)

Acceleration

34.

EJ2M5G2 has the dimensions of,

a)

Length

b)

Angle

c)

Mass

d)

Time

e)

Temperature

35.

The dimensions of angular momentum are,

a)

M L T-1

b)

M L2 T-1

c)

M L-1 T

d)

M L0 T-2

e)

M0 L1 T-2

36.

The dimensions of moment of inertia is,

a)

ML2

b)

ML

c)

M

d)

L

e)

MLT-1

37.

Then a, b and c respectively are,

a)

1, 1, 1

b)

12, -56, 13

c)

13, 12, -56

d)

13, -56, 12

e)

-56, 12, 13

38.

Then m is proportional to,

a)

v2

b)

v4

c)

v6

d)

v8

e)

v

39.

On the basis of dimensional analysis, the maximum number of unknown that can be found is,

a)

One

b)

Two

c)

Three

d)

Four

e)

Seven

40.

Dimensional formula of latent heat

a)

M0L2T-2

b)

MLT-2

c)

ML2T-2

d)

ML2T-2

e)

ML3T-2

41.

Boltzman's constant and planck's constant differ in the dimensions of

a)

Time and temperature

b)

Mass and temperature

c)

Length and mass

d)

Length and time

e)

Time and Mass

42.

Magnetic induction and magnetic flux differ in the dimensions of

a)

Time

b)

Mass

c)

Electric current

d)

Length

e)

Temperature

43.

The physical quantity having dimensions of mass is,

a)

Density

b)

Momentum

c)

Inertia

d)

Moment of force

e)

Impulse

44.

Which is the physical quantity whose dimensional formula is M1 L0 T-2 is,

a)

Bulk Modulus

b)

Electric conductance

c)

Surface tension

d)

Frequency

e)

Force

45.

If MaLbTc is the dimensional formula of force, the value of (2a - b - c) is,

a)

8

b)

- 4

c)

3

d)

6

e)

0

46.

If MaLbTc is the dimensional formula of momentum, and MxLyTz dimensional formula of energy, the value of (ax + by - cz) is,

a)

- 3

b)

- 1

c)

2

d)

7

e)

0

47.

Which of the following is the dimensionally correct formula?

a)

v=ut+at

b)

v+u=at

c)

vu=at

d)

vt=u-a

e)

None of the above

48.

Dimensional formula of latent heat is,

a)

M1L1T-2

b)

M0L2T-2

c)

M1L2T-1

d)

M0L2T-2

e)

M1L2T0

49.

Pair of quantities having same dimensional formula are,

a)

velocity, Impulse

b)

Force, Weight

c)

Impulse, Inertia

d)

Angular momentum, Linear momentum

e)

Angular displacement, Linear displacement

50.

If R is resistance and L is the inductance, then the dimensions of R/L will be same as the dimensions of,

a)

Time

b)

Speed

c)

Frequency

d)

Acceleration

e)

Mass

51.

The dimensional formula of couple

a)

ML2T-2

b)

MLT-1

c)

ML-1T-1

d)

M1L1T-2

e)

M0L1T-2

52.

Dimensional formula of thermal conductivity is,

a)

ML2T -3θ-1

b)

ML2T -2θ-4

c)

ML2T -2θ-1

d)

MLT -3θ-1

e)

MLT -2θ-1

53.

The correct values of the prefixes P, h, d, a respectively are,

a)

1015, 10-2, 101, 10-18

b)

1018, 102, 101, 10-15

c)

1015, 102, 10-1, 10-18

d)

1015, 10-2, 10-1, 10-18

e)

1015, 10-2, 101, 10-15

54.

30 milliseconds is equivalent to,

a)

3×10-6 seconds

b)

3×10-5 seconds

c)

3×10-4 seconds

d)

3×10-3 seconds

e)

3×10-2 seconds

55.

What is the prefix for 106

a)

M

b)

G

c)

μ

d)

n

e)

m

56.

Which of the following frequencies is the same as 106.8 MHz?

a)

1.068×10-4 Hz

b)

1.068×10-1 Hz

c)

1.068×102 Hz

d)

1.068×106 Hz

e)

1.068×108 Hz

57.

What is the value of 2x107 kg m-1 s-2 in units of g μm-1 ms-2 ?

a)

200

b)

20

c)

2

d)

0.2

e)

0.02

58.

Prefixes in ascending order are,

a)

G, M, k, c

b)

μ, m, c, k

c)

M, G, k, c

d)

c, G, μ, m

e)

k, c, M, G

59.

Which of the following measurement is different?

a)

2.3×102 m

b)

2.3×104 cm

c)

2.3×106 mm

d)

2.3×10-1 km

e)

2.3×10-4 Mm

60.

Which one of the following measurements is the smallest?

a)

1.5×102 kg

b)

1.5×107 g

c)

1.5×1012 μg

d)

1.5×10-4 Gg

e)

1.5×10-2 Mg

61.

The product of 2.4 dm and 0.5 mm is,

a)

1.2×106 Hz

b)

1.2×10-6 Hz

c)

1.2×105 Hz

d)

1.2×10-5 Hz

e)

1.2×10-4 Hz

62.

How many micrograms are there in a milligram?

a)

109

b)

106

c)

103

d)

102

e)

10

63.

How many electric hot plates rated at 2.5 kW can be powered from a generator providing 2.0 MW of electric power?

a)

2000

b)

1000

c)

900

d)

800

e)

500

64.

If the density of a liquid in C.G.S units is 1.2. Its value in SI units is,

a)

1.2

b)

12

c)

120

d)

1200

e)

12000

65.

The ratio of the diameter of the atom to that of the nucleus is,

a)

4.6×104

b)

4.6×105

c)

4.6×106

d)

4.6×107

e)

4.6×108

66.

The volume of a metal sphere is 12 cm3. This volume is SI units is,

a)

1.2×10-7

b)

1.2×10-6

c)

1.2×10-5

d)

1.2×10-4

e)

1.2×10-3

67.

The velocity of a car is 108 km h-1. The velocity is SI units is,

a)

30

b)

50

c)

60

d)

70

e)

90

68.

The acceleration of a trolley is 2000 cm s-1. This acceleration is SI units is,

a)

0.002

b)

0.02

c)

0.2

d)

2

e)

20

69.

Which of the following prefixes is less than 1?

a)

Mega

b)

Deci

c)

Kilo

d)

Hecto

e)

Deca

70.

The ratio of C.G.S unit of gravitational constant to S.I unit is,

a)

102

b)

103

c)

10 -2

d)

10 -3

e)

1

71.

Which of the following is the unit of force?

a)

J

b)

kg m/s²

c)

W

d)

Pa

e)

Nm

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