Units and Measurements Test

Result

Units and Measurements Test - 11

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Weekly Quiz Competition

Question 1
4 / -1

The dimensions of gravitational constant G and the moment of inertia are, respectively

A
[ML³ T^-2 ], [ML² T⁰ ]

B
[M^-1L³ T^-2 ], [ML² T⁰ ]

C
[M^-1L³ T^-2 ], [M^-1 L² T ]

D
[ML³ T^-2 ], [M^-1L² T ]

Solution
Question 2
4 / -1

The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is

A
zero

B
-1

C

D
1

Solution
Question 3
4 / -1

A
time

B
mass

C
length

D
force

Solution
Question 4
4 / -1

Dimensional formula for the universal gravitational consant G is

A
[M ^-1 L ²T ^-2 ]

B
[M ⁰ L ⁰T ⁰ ]

C
[M ^-1 L ³T ^-2 ]

D
[M ^-1 L ³T ^-1 ]

Solution
Question 5
4 / -1

The velocity of a particle v at an instant t is given by v = at + bt², the dimension of b is

A
[L]

B
[LT ^-1]

C
[LT ^-2 ]

D
[LT ^-3]

Solution
Question 6
4 / -1

In the relation x =cos (ωt + kx), the dimensions of ω are

A
[M⁰LT ]

B
[M⁰L ^-1T⁰]

C
[M⁰L ⁰T^-1]

D
[M⁰LT^-1]

Solution
Question 7
4 / -1

The air bubble formed by explosion inside water performed oscillation with time period T that is directly proportional to p^ad^b E^c , where p is the pressure, d is the density and E is the energy due to explosion. The values of a, b and c will be

A
–5/6, 1/2, 1/3

B
5/6, 1/3, 1/2

C
5/6, 1/2, 1/3

D
None of the these

Solution
Question 8
4 / -1

Dimensional formula for force is

A
[ML² T ^-2 ]

B
[MLT ^-2 ]

C
[ML ^-1 T ^-2 ]

D
[ML² T ^-3 ]

Solution
Question 9
4 / -1

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be

A
[ML² T ^-3I ^-1 ]

B
[ML² T ^-2]

C
[ML² T ^-1I ^-1 ]

D
[ML² T ^-3I ^-2]

Solution
Question 10
4 / -1

The speed (v) of ripples on the surface of water depends on surface tension (σ), density (ρ) and wavelength (λ). The square of speed (v²) is proportional to

A

B

C

D

Solution