What is the difference between uniform and non-uniform motion?
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A uniform electric field is along x-axis. The potential difference `V_(A)-V_(B)=10 V` is between two points A (2m, 3m) and (4m, 8m). Find the electric
`E=(Delta V)/(Delta d)=10/2=5 V//m`. (It is along + ve x-axis)
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A particle of mass m and charge q is moving in a region where uniform electric field `underset(E)to` and and uniform mag-netic field `underset(B)to`ar
Correct Answer - `vec(V)cos((qBt)/(m))vec(V)_(0)+((qt)/(m))(vec(E))+sin((qBt)/(m))((vecV_(0)xxvec(B))/(B))`
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Let `hata,vecb and vecc` be the non-coplanar unit vectors. The angle between `hatb and hatc is alpha "between" hatc and hata is beta and "between" hat
From the sine rule, we get `(AB)/(sin C)=(AC)/(sinB)=(BC)/(sinA)= ((AB)(BC)(CA))/(2DeltaABC)` `BC=|vec(BC)|=|hatc cos gamma=-hatbcosbeta|=|(hata.hatb)hatc-(hatc.hata)hatb|=|(hataxx(hatbxxhatc))|` `AC = |vec(AC)|=|hatbxx(hatcxxhata)|and AB = |vec(AB)|=hatcxx(hataxx hatb)|` `DeltaABC=1/2|vec(BC)xxvec(BA)|` `=1/2 |(hatc cosgamma-hatb cos beta)xx(hata cosalpha-hatbcosbeta)|` `=1/2 |(hatc xxhata)cosalpha cosgamma+(hatbxxhatc)cosalphacosbeta+(hata...
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If `veca,vecb and vecc` are non coplnar and non zero vectors and `vecr` is any vector in space then`[vecc vecr vecb]veca+pveca vecr vecc] vecb+[vecb v
`Let" " vecr=x_(1)veca+x_(2)vecb+x_(3)veccRightarrow vecr.(vecbxxvecc)=x_(1)veca.(vecbxxvecc)or x_(1)=([vecr vecb vecc])/([veca vecb vecc])`. `Also, " " vecr.(veccxxveca)=x_(2)vecb.(veccxxveca)orx_(2)=([vecrveccveca])/([vecavecbvecc])` `and vecr.(vecaxxvecb)=x_(3)vecc. (vecaxxvecb)or x_(3)=([vecr vecavecb])/([veca vecbvecc])` `Rightarrow vecr=([vecrvecb vecc])/([vecavecbvecc])veca+([vecrveccveca])/([vecavecbvecc])vecb+([vecrvecavecb])/([vecavecb vecc])vecc` `or [vecbveccvecr]veca+[veccvecavecr]vecb+[vecavecbvecr]vecr=[vecavecbvecc]vecr`
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A long cylinder of uniform cross section and radius R is carrying a current i along its length and current density is uniform cross section and radius
Correct Answer - `[(mu_(0)I r^(2))/(2 pi d (R^(2) - r^(2)))]`
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A uniform electric field of `30NC^(-1)` exists along the X-axis calculate the potential difference `V_(B)-V_(A)` between the points A (4m,2m) and B(10
Correct Answer - `-180`V
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Distinguish between uniform rectilinear motion and nonuniform rectilinear motion.
No. Uniformly rectilinear motion Non-uniform rectilinear motion i. The object is moving with constant velocity. The object is moving with variable velocity. ii. The average and instantaneous velocities are same. The average and instantaneous velocities are different. iii. The average...
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If the difference between the outer radius and the inner radius of a ring is 14 cm, then what is the difference between is outer circumference and inn
Correct Answer - 88 cm
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In projectile motion, vertical motion and horizontal motion are dependent of each other. Yes or No? Justify your answer.
No. In projectile motion, the horizontal and vertical motion are independent of each other because both motions don’t affect each other.
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Define Uniform Circular motion. Why is it called a periodic motion ?
Uniform circular motion, motion of a particle moving at a constant speed on a circle. In the Figure, the velocity vector v of the particle is constant in magnitude, but...
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