Math Chapter Wise

EnglishRajasthan TGT 2016

Q221.3 2 − =

A4 3 π B3 4 π C4 3 π D3 4 π

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EnglishRajasthan TGT 2016

Q222.If the maximum and minimum value of the resultant of two forces are 40 units and 20 units respectively, then the magnitude of both forces are

A30, 10 unit B25, 15 unit C50, 10 unit D35, 15 unit

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EnglishRajasthan TGT 2016

Q223.The resultant of two equal forces inclined at an angle α is half of resultant when they are inclined at the angle β, then

Acosα= 2cosβ Bcosβ = 2cos α Ccos α/2= 2 cosβ/2 Dcos β/2 = 2 cosα/2

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EnglishRajasthan TGT 2016

Q224.Horizontal range of a projectile is 30 units and it acquires maximum height at 10 units, the angle of projection α is given by

A9(sin2α+1)= 25 (tanα–1)2 B9(sin2α+1)= 25 (tanα+1)2 C25(sin2α+1)= 9 (tanα+1)2 D25(sin2α+1)= 9 (tanα–1)2

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EnglishRajasthan TGT 2015

Q225.The radius of curvature of the curve p asin cos = ψ ψ = ψ ψ = ψ ψ = ψ ψ is

Ap B2p C3p D4p

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EnglishRajasthan TGT 2015

Q226.If µ is the coefficient of friction of a rough surface, then which of the following is true?

A1 1/− ≤ µ ≤ B−∞ < µ < ∞ C0 1/< µ ≤ D0 1/≤ µ ≤

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EnglishRajasthan TGT 2015

Q227.Which of the following forces should not be omitted in equation of virtual work?

AThe tension of an inelastic string. BThe thrust of a rod CMutual reaction between two bodies at their point of contact. DThe reaction of a smooth surface

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EnglishGIC 2021 Rajasthan TGT 2013, 2015 UPPCS 1994

Q228.If the radial and tranversal velocities of a particle are always proportional to each other, then the path of the particle is–

AParabola BCircle CEquiangular spiral DHyperbola

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EnglishRajasthan TGT 2015

Q229.If a particle moves along a straight line according to 3 2 t s 5t 9t 17 3 = − + + = − + + = − + + = − + +, then its velocity will be negative when

A1 < t < 9 B1 > t > 9 C1 < t ≤ 9 D1 ≤ t < 9

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EnglishRajasthan TGT 2015

Q230.A light elastic string of natural length l and modulus of elasticity λ is hung by one end and to the other if a particle of mass m is tied, then the equation of motion of the particle is

A2 d m dt − λ = x l B2 d dt −λ = x ml C2 d dt − λ = x l x m D2 d m dt − = λ x l x

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EnglishRajasthan TGT 2015

Q231.A particle is projected in a direction making an angle α with the horizontal, its horizontal range is R. If it passes through the point (p, q) then tan α is equal to

Ap R q R p = − Bq R p R p = − Cp R q R q = − Dq R p R q = −

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EnglishRajasthan TGT 2015

Q232.Any covariant tensor of second order can be expressed uniquely as the

ASum of two symmetric tensors of order two. BSum of two skew-symmetric tensors of order two. CSum of a symmetric tensor and a skew- symmetric tensor of order two. DDifference of two symmetric tensors of order two.

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EnglishRajasthan TGT 2013

Q233.The resultant of two forces P and Q acting at an angle θ is equal to 2 2 (2m +1) P + Q and when they act at an angle (900 – θ), the resultant is 2 2 (2m-1) P + Q, then tan θ =

A2 2m 1 m + B2 2m 1 m − C2 1 m − + Dm 1 − +

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EnglishRajasthan TGT 2013

Q234.If a body be on the point of sliding down an inclined rough plane under its own weight, then the inclination of the plane is-

Aequal to angle of friction Bgreater than angle of friction Cless than angle of friction Dequal to twice the angle of friction

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EnglishRajasthan TGT 2013

Q235.If anybody is constrained to turn round a point then the virtual work of the reaction at the point is always-

Azero Bpositive Cnegative Dconstant other than zero

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EnglishRajasthan TGT 2013

Q236.If a heavy string hangs over two fixed small pegs such that the two ends are free and the central portion is in the form of a catenary, then the free ends of the string will lie-

Aabove the vertex of the catenary Bon the tangent at vertex of the catenary Con the directrix of the catenary Dnone of the above

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EnglishRajasthan TGT 2013

Q237.With usual notations, the tangential acceleration of a moving particle is-

Aonly dv dt Bonly 2 d s dt Conly dv v ds Dall of the above

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EnglishRajasthan TGT 2013

Q238.A particle moving with simple harmonic motion has a period T, then the time taken to move from the position of maximum displacement to one in which the displacement is half the amplitude, is-

AT/6 BT/3 CT/2 D2 T 3

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EnglishRajasthan TGT 2013

Q239.A particle starts from rest at infinity and falls under gravitational force 'g' on the surface of the earth of radius 'r', then its velocity at the earth surface is-

Agr B2gr C3gr D2 gr

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EnglishRajasthan TGT 2013

Q240.A particle starts from rest at a distance 'a' from the centre of force which attracts inversely as the distance, if µ is proportional coefficient, then the time of arriving at centre is-

Aa 2 π µ Ba π µ Ca 2 π µ Da 3 π µ

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