576 - Physics Questions Answers

ω = ω₀+ αt

so 4π = 0 + α20       so α = π/5

so total angular displacement = 1/2 π/5 20² = 40 π  = 20 rotation

and with angular velocity 2 rotation/sec total rotations in 5 sec. = 10 

so answer will be 20+10 = 30

yes because monkey and bullet both are falling with the same gravity

V = Ed = 6* 10⁷*0.002

let charge in the line of 24 volt is Q in the direction of battery and at point b, let the charges in the two lines are q and Q-q (q in the middle line)

now accoring to the Kirchhoff law

24-12 = Q/1 + q/2

and 24-6 = Q/1 + (Q-q)/4 

solve these 2 for q and Q 

then by point potential rules get the answer.

consider a small segment of chain at angle β from top, its length = Rdβ and mass = mRdβ/L

its potential energy = [mRdβ/L]gRcosβ  now integrate it within the limits 0 to L/R

for getting the answer of the second part calculate potential energy twice once between the limits 0 to L/R and then between the limits θ to θ+(L/R)

then difference of potential energy = KE of the chain. solve it ?

for getting third part differentiate v obtained in the second part with respect to t, dθ/dt will be ω and it will be v/R

finally put θ and t = 0 for getting the answer.

very soon you will get the answers

hole mobility  = velocity of hole/electric field applied

potential at 100 cm = k 2 * 10^-3 / 0.9 - k 1* 10^-3 / 0.6

now solve   

take square root on both the sides

P  α   T³

so P α  (PV)³

so P²V³ = K

or PV^3/2 = K

so on the basis of PVγ  =  K  calculate  γ