The domain of the definition of the function f x = 1 4 - x 2 + l o g 10 x 3 - x is:

- 2 , - 1 ∪ - 1 , 0 ∪ 2 , ∞

Match the physical quantities with their correct SI units. List-I List-II (A) Planck's constant (I) kg m s - 2 (B) Torque (II) kg - 1 m 3 (C) Weight (III) m 2 kg s - 1 (D) Specific volume (IV) kg m 2 s - 2 The correct match is

A = III , B = IV , C = I , D = II

A = II , B = IV , C = I , D = III

A = IV , B = I , C = II , D = III

A = II , B = III , C = I , D = IV

10 - 9 s o f C s - c l o c k o f 9192631770 o s c i l l a t i o n s

10 - 9 s o f K r - c l o c k o f 1650763.73 o s c i l l a t i o n s

10 - 9 s o f K r - c l o c k o f 6521389.63 o s c i l l a t i o n s

10 - 9 s o f C s - c l o c k o f 1650763.73 o s c i l l a t i o n s

HARD

Earn 100

Which international trade organization focuses on the economic development of developing nations?

50% studentsanswered this correctly

Important Questions on Units and Measurements

HARD

Physics>Mechanics>Units and Measurements>The International System of Units

The value of

n \in I

for which the function

f (x) = \frac{\sin n x}{\sin (\frac{x}{n})}

has

4 π

as its period is:

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Let

f : [2, \infty) \to R

be the function defined by

f (x) = x^{2} - 4 x + 5

, then the range

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

The domain of the definition of the function

f (x) = \frac{1}{4 - x^{2}} + {l o g}_{10} (x^{3} - x)

is:

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

In a physical balance working on the principle of moments, when

5 mg

weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

A thin circular disk is in the

x y

plane as shown in the figure. The ratio of its moment of inertia about

z

and

z'

axes will be:
Question Image

MEDIUM

Physics>Mechanics>Units and Measurements>The International System of Units

Let the moment of inertia of a hollow cylinder of length

30 cm

(inner radius

10 cm

and outer radius

20 cm

), about its axis be

I

. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also

I,

is:

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Three identical spherical shells, each of mass $m$ and radius $r$ are placed as shown in the figure. Consider an axis $X X^{'}$ which is touching the two shells and passing through the diameter of the third shell. The moment of inertia of the system consisting of these three spherical shells about $X X^{'}$ axis is:

Question Image

EASY

Physics>Mechanics>Units and Measurements>The International System of Units

Match the physical quantities with their correct $SI$ units.

	List-I		List-II
(A)	Planck's constant	(I)	$kg m s^{- 2}$
(B)	Torque	(II)	${kg}^{- 1} m^{3}$
(C)	Weight	(III)	$m^{2} kg s^{- 1}$
(D)	Specific volume	(IV)	$kg m^{2} s^{- 2}$