Units and Measurements Test

Result

Units and Measurements Test - 7

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Weekly Quiz Competition

Question 1
4 / -1

Match the Column I with Column II.

A
A−p, B−q, C−r, D−s

B
A−q, B−p, C−s, D−r

C
A−s, B−r, C−q, D−p

D
A−r, B−s, C−p, D−q

Solution

Permittivity of free space

A - s

C - q

Hubble constant

D - p
Question 2
4 / -1

If E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, the quantity has the dimensions of then

A
mass

B
length

C
time

D
angk

Solution

[E] = [ML² T⁻²], [m] = [M]
[l] = [ML² T⁻¹], [G] = [M⁻¹ L³ T⁻²]

= [M⁰ L⁰ T⁰]
As angle has no dimensions, therefore has the same dimensions as that of angle.
Question 3
4 / -1

If power (P), surface tension (S) and Planck’s constant (h) are arranged so that the dimensions of time in their dimensional formulae are in ascending order, then which of the following is correct?

A
P, S, h

B
P, h, S

C
S, P, h

D
S, h, P

Solution

The ascending order of dimensions of time in their dimensional formulae is P, S, h.
Question 4
4 / -1

The dimensions of Planck’s constant are the same as that of

A
linear impulse

B
work

C
linear momentum

D
angular momentum

Solution

Energy of a photon, E = hυ
where h is the Planck's constant and υ is the frequency.

Angular momentum = Moment of inertia x Angular velocity (Angular momentum)
= [ML²][T⁻¹] = [ML²T⁻¹]
Question 5
4 / -1

Match the Column I with Column II.

A
A−q, B−p, C−r, D−s

B
A−p, B−q, C−s, D−r

C
A−r, B−s, C−p, D−q

D
A−s, B−r, C−q, D−p

Solution

(A) Pa s = [ML⁻¹ T⁻²][T] = [ML⁻¹T⁻¹]
A - r