UNIT & DIMENSION | LECTURE 01 | KARAN SONI

LECTURE-1

STATEMENT-1: Velocity gradient has dimensions of frequency STATEMENT-2: Temperature gradient has dimensions of frequency STATEMENT-3: Unit nm is same as unit mN.

An organic compound containing bromine gave the following results: (i) 0.125 g of the compound on complete combustion gave 0.1 g of CO_2 and 0.051 g of water. (ii) 0.185 g of the compound gave 0.32 g of AgBr. Sony Calculate the empirical formula of the compound.

STATEMENT-1: Kilowatt hour is a unit of power STATEMENT-2: Work done energy have same SI units. STATEMENT-3: Dimensions of work is ML^(2)T^(2).

STATEMENT 1: Two quantities with different dimensions may have same unit. STATEMENT-2 Two quantities with different units may have same dimensions STATEMENT-3 Unitless quantities must be dimensionless too

In the formula X =5YZ^(2) , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units?

The area of the triangle formed by the points P(0,1), Q(0,5) and R(3,4) is (a) 16 sq. units (b) 8 sq. units (c) 4 sq. units (d) 6 sq. units

In a particular system the units of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equal to

There are 5 doors to a lecture room. Two are red and the others are green. In how many ways can a lecturer enter the room and leave the room from different colored doors?

In terms of basic units of mass (M), length (L), time (T), and charge (Q), the dimensions of magnetic permeability of vacuum (mu_0) would be