Units Measurements and Dimensions Test

Result

Units Measurements and Dimensions Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Convert 1 kWh into joules.

A
33 × 10⁵ Joule

B
36 × 10⁵ Joule

C
36 × 10⁴ Joule

D
None of these

Solution

We know,
Watt = joule/second
1 kW = 1 kjoule/second
And 1 kWh = 1 kjoule × hour/second
1 kW hour = 1000 × 60 × 60 = 3600 ×1000 Joules
1 kW hour = 36 ×10⁵ Joule
Question 2
1 / -0

If the atmospheric pressure is 10⁶ dyne/cm², then what is its value in SI units?

A
10⁵ N/m²

B
10⁶ N/m²

C
10⁷N/m²

D
10⁸ N/m²

Solution

Pressure = 10⁶ dyne/cm²
1 Newton = 10⁵ dyne, 1 m² = 10⁴cm²
Hence Pressure = 10⁶dyne/cm²=10⁶× (10^-5N)/(10^-⁴ m²)
Pressure = 10⁽^{6 - 5 + 4)} N/m² = 10⁵ N/m²

Question 3

1 / -0

Match the following:

List - I	List - II
(1) Planck's constant	(A) [ML^-1T^-2]
(2) Gravitational constant	(B) [ML^-1T^-1]
(3) Bulk modulus	(C) [ML²T^-1]
(4) Coefficient of viscosity	(D) [M^-1L³T^-2]

(1) - (C), (2) - (D), (3) - (A), (4) - (B)

(1) - (B), (2) - (A), (3) - (C), (4) - (D)

(1) - (C), (2) - (B), (3) - (A), (4) - (D)

(1) - (C), (2) - (D), (3) - (B), (4) - (A)

Solution

Dimensions of Planck's constant = [ML²T^-1]

Dimensions of gravitational constant = [M^-1L³T^-2]

Dimensions of bulk modulus = [ML^-1T^-2]

Dimensions of coefficients of viscosity = [ML^-1T^-1]

Question 4
1 / -0

Which of the following sets of quantities has the same dimensional formula?

A
Frequency, angular frequency and angular momentum

B
Surface tension, stress and spring constant

C
Acceleration, momentum and retardation

D
Work, energy and torque

Solution

As the work is defined as the dot product of force and displacement.
Torque is represented as the cross product of radius and the force.
Energy is defined as the capacity of doing work so work , energy and the torque has same dimensions.
Question 5
1 / -0

The displacement of a particle moving along x-axis is given as x = at + bt²- ct³, where t is time. The respective dimensions of a, b and c are

A
L², T, LT ²

B
LT², LT, LT^-2

C
LT^-1, LT^-2, LT^-3

D
L, LT, T ²

Solution

x = at + bt² - ct³
[L] = a[T] + b[T²] - c[T³]
[a] = LT^-1
[b] = LT^-2
[c] = LT^-3
Question 6
1 / -0

The length, breadth and thickness of a block are given as l = 12 cm, b = 6 cm and t = 2.45 cm, respectively. The volume of the block, according to the idea of significant figures, should be

A
1 × 10² cm³

B
2 × 10² cm³

C
1.763 × 10² cm³

D
1.83 × 10²cm³

Solution

Volume, V = l × b × t = 12 × 6 × 2.45
= 176.4 cm³
or V = 1.764 × 10² cm³
Since, the minimum number of significant figure is one in breadth, hence volume will also contain only one significant figure.
Hence, V = 2 × 10² cm³

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Units Measurements and Dimensions Test - 1

Result

Units Measurements and Dimensions Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

33 × 105 Joule

36 × 105 Joule

36 × 104 Joule

None of these

Solution

Question 2

105 N/m2

106 N/m2

107 N/m2

108 N/m2

Solution

Question 3

(1) - (C), (2) - (D), (3) - (A), (4) - (B)

(1) - (B), (2) - (A), (3) - (C), (4) - (D)

(1) - (C), (2) - (B), (3) - (A), (4) - (D)

(1) - (C), (2) - (D), (3) - (B), (4) - (A)

Solution

Question 4

Frequency, angular frequency and angular momentum

Surface tension, stress and spring constant

Acceleration, momentum and retardation

Work, energy and torque

Solution

Question 5

L2, T, LT 2

LT2, LT, LT-2

LT-1, LT-2, LT-3

L, LT, T 2

Solution

Question 6

1 × 102 cm3

2 × 102 cm3

1.763 × 102 cm3

1.83 × 102 cm3

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

33 × 10⁵ Joule

36 × 10⁵ Joule

36 × 10⁴ Joule

10⁵ N/m²

10⁶ N/m²

10⁷N/m²

10⁸ N/m²

L², T, LT ²

LT², LT, LT^-2

LT^-1, LT^-2, LT^-3

L, LT, T ²

1 × 10² cm³

2 × 10² cm³

1.763 × 10² cm³

1.83 × 10²cm³