Let us consider a system of units in which mass and angular momentum are dimensionless. If the length has a dimension of L , which of the following statement (s) is/are correct?

The dimension of energy is L - 2 .

The dimension of power is L - 5 .

E M B I B E

Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 9

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Physics

IMPORTANT

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If velocity $v$ , acceleration $A$ and force $F$ are chosen as fundamental quantities, then, the dimensional formula of angular momentum, in terms of $v$ , $A$ and $F$ would be

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Important Questions on Physical World and Measurement

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 10

If velocity, force and time are taken as the fundamental quantities, then using dimensional analysis choose the correct dimensional formula for mass among the following.

[

K

is a dimensionless constant

]

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 11

A spherical liquid drop is placed on a horizontal plane. A small disturbance causes the volume of the drop to oscillate. The time period of oscillation

(T)

of the liquid drop depends on radius

(r)

of the drop, density

(ρ)

and surface tension

(S)

of the liquid. Which among the following will be a possible expression for

T

(where,

k

is a dimensionless constant )?

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Physics

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Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 12

The physical quantities not having same dimensions are :

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 13

Suppose a quantity can be dimensionally represented in terms

M, L

and

T

, that is

[y] = [M^{a} L^{b} T^{c}]

. The quantity mass

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Physics

IMPORTANT

Physics Crash Course JEE Advanced>Chapter 1 - Physical World and Measurement>Exercise 1>Q 14

Assume that, the drag force on a football depends only on the density of the air, velocity of the ball and the cross-sectional area of the ball. Balls of different sizes but the same density are dropped in an air column. The terminal velocity reached by balls of masses