On the body of machine is written 4H.P. Express its power in watt.

Find the equation of a plane in intercept form. Express the equation of the plane 2x + 3y + 4z = 12 to its intercept form.

From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants. C_2H_5Cl(g) rarr C_2H_4(g) + HCl(g) Rate = k[C_3H_5Cl]

Examine whether the following sequences are in A.P. If it is so, determine its first term and common difference. T_n=4n+3

The fourth term of a G.P. is 4 and the product of second and fourth term is 1. Find its sixth term.

Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by v^2=(2gh)/ (i+k^2^l R^3 Using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.

A trolley of mass 200 kg moves with a uniform speed of 36 km/ h on a frictionless track. A child of mass 20 kg runs on the trolley from one end to the other (10 m away) with a speed of 4 m s^-1 relative to the trolley in a direction opposite to the its motion, and jumps out of the trolley. What is the final speed of the trolley? How much has the trolley moved from the time the child begins to run?

A spherical black body with radius 12 cm radiates 450 W power at 500K,If the radius were halved and the temperature doubled,the power radiated in watt would be

The mean of a binomial distribution is 4 and its standard deviation is sqrt3 . Obtain the values of 'n', 'p' and 'q'.

The earth’s radius is R and acceleration due to gravity as its surface is g. If a body of mass m is sent to a height of R/5 from the earth’s surface the PE increase (h = R/5) by: