The resultant of two forces of 3 N and 4 N is 5 N, the angle between the forces is
(A) 30°
(B) 60°
(C) 90°
(D) 120°
1 Answers
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If the resultant of three forces `vec(F)_(1)=phat(i)+3hat(j)-hat(k),vec(F)_(2)=-5hat(i)+hat(j)+2hat(k)` and `vec(F)_(3)=6hat(i)-hat(k)` acting on a pa
Correct Answer - B::C::D `R=(u^(2)sin2theta)/(g)` `480 = (70^(2)sin2theta)/(9.8) " "48=(4900)/(98)sin2theta` `(24)/(25)=sin2theta` `(24)/(25) = 2 sin theta cos theta` `sintheta=(4)/(5)" or "sintheta_(2)=(3)/(5)` Maximum height = `(u^(2)sin^(2)theta)/(2g)` Ratio of maximum height = `sin^(2)theta_(2),sin^(2)thetat=9.16`...
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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...
2 Answers 1 views
Limiting angle of a prism is defined as the largest angle of the prism (A) for which no emergent ray is obtained. (a) Find the limiting angle `(A_(0))
Correct Answer - (a) `A_(0) = 2 sin^(-1) ((1)/(mu))` (b) NO
2 Answers 1 views
The critical angle for a certain wavelength of light is glass is `40^(@)`. Calculate the polarising angle and the angle of refraction in glass corresp
Correct Answer - `57.3^(@),32.7^(@)`
2 Answers 1 views
For a ray of light refracted through a prism of angle `60^(@)`, the angle of incidence is equal to the angle of emergence, each equal to `45^(@)`. Fin
Correct Answer - 1.414
2 Answers 3 views
The resultant of two forces 10 N and 15 N acting along + x and – x-axes respectively, is
Correct answer is (D) 5 N along – x-axis
2 Answers 1 views
A ray of light is incident on the glass prism at an angle of `40^(@)`. Find the angle of emergence, if the angle of prism is `60^(@)` and refractive i
Correct Answer - `58.5^(@)`
2 Answers 1 views
Distinguish between : (A) Real and pseudo forces, (B) Conservative and non-conservative forces,
(A) Real and pseudo forces, No Real force Pseudo Force i A force which is produced due to interaction between the objects is called real force. A pseudo force is one which arises due to the...
2 Answers 10 views
The resultant of two vectors of magnitude |P| is also |P|. They act at an angle
Correct option is: (C) 120°
2 Answers 1 views
The relation among angle of incidence (i1) angle of emergence (i1) angle of deviation (d) and angle of prism (A)
C) A + d = i1 + i2
2 Answers 1 views