1 kg ` m^2s^(-2) =…………g cm^2 s^(-2)` .

G= 6.67 XX10^(-11) N m^2(Kg)(-2) =………..(cm)^3s(-2 )g^(_1)

3.0 m s(-^2)=…………….km h(-^2)

A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg m^2s^(-2)c . Suppose we employ a system of units in which the unit of mass equals a kg, the unit of length equals R m, the unit of time y s? Show that a calorie has a magnitude 4.2 a^(-1) beta(-2) gamma2 in terms of the new units.

The molar conductivity of 0.025 mol L^-1 methanoic acid is 46.1 S cm^2 mol^-1 . Calculate its degree of dissociation and dissociation constant. Given lambda^@(H^+) = 349.6 S cm^2 mol^-1 abd lamda^@(HCOO-) = 54.6 S cm^2 mol .

The electronic configuration of atoms A, B, C are given below A = 1s^2 2s^2 2p^6 3s^1 B = 1s^2 2s^2 2p^6 3s^2 3p^5 C = 1 s^2 2s^2 2p^6 3s^2 3p^6 4s^1 Name the elements

A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^-1 to 3.5 m s^-1 in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force?

Momentum of an object changes from 100 kg m/s to 200 kg m/s in 2 seconds. What is the force applied to it?

In a test experiment pn a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are 70 m s^-1 and 63 m s^-1 respectively. What is the lift on the wing if its area is 2.5 m^2 ? Take the density of air to be 1.3 kg m^-3 .

Certain force acting on a 20 kg mass changes its velocity from 5 m s^-1 to 2m s^-1 . Calculate the work done by the force.

If 2s = a + b + c , then prove that s^3 + (s-2a)^3 +(s-2b)^3 + (s-2c)^3 = 24 (s-a)(s-b)(s-c)