Math Chapter Wise

EnglishRajasthan TGT 2013

Q241.The tension in the elastic string is-

Aproportional to length of string. Bproportional to increase in length of string. Cproportional to increase in unit length of string. Dproportional to square of increase in length of string

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EnglishRajasthan TGT 2013

Q242.A particle is projected with a velocity 2 gh so that it just clears two walls of equal height 'h', which are at a distance 2h from each other. Then the time of passing between the walls is-

Ah 2 g Bh/g Cg 2 h Dg/h

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EnglishRajasthan TGT 2013

Q243.A particle is projected with the velocity 'u' at an angle of projection 'α' then the highest height attained is-

Ausin g α B2 2 u sin 2g α C2 u sin 2 g α D2 u sin 2 2g α

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EnglishRajasthan TGT 2013

Q244.If 'L' is Laplace transform operator and 's' is parameter then L {cosh at} =

A2 2 a s a − B2 2 s s a − C2 2 a s a + D2 2 s s a +

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EnglishRajasthan TGT 2013

Q245.If Jn (x) represents the Bessel function, then the true relation is-

AxJ'n (x) = nJn (x) + xJn+1 (x) B2J'n (x) – Jn+1 (x) = Jn–1 (x) CxJ'n (x) = –nJn (x) + xJn–1 (x) D2nJn (x) = () () n 1 n 1 x J x J x − + −

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EnglishRajasthan TGT 2013

Q246.A symmetric tensor of the second order has at most different components in a VN is-

A() N N 1 2 + B() N N 1 2 − C()() N 1 N 2 2 + + D()() N 1 N 2 2 − −

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EnglishRajasthan TGT 2013

Q247.For a curve its curvature and torsion are in constant ratio, then the curve is-

Aosculating sphere Bosculating circle Ccircular helix Dcylindrical helix

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EnglishRajasthan TGT 2011

Q248.Let O be the circumcentre of triangle ABC. If three forces P, Q, R acting along OA, OB, OC are in equilibrium, then P: Q: R is equal to

Asin A: sin B: sin C Bsin 2A: sin 2B: sin 2C Ccos A: cos B: cos C Dcos 2A: cos 2B: cos 2C

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EnglishRajasthan TGT 2011

Q249.The forces P, Q, R are acting along sides BC, CA and AB of a triangle ABC. If their resultant passes through the incentre, then.

AP cos A + Q cos B + R cos C = 0 BP + Q + R = 0 CP sec A + Q sec B + R sec C = 0 DP cosec A + Q cosec B + R cosec C = 0

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EnglishRajasthan TGT 2011

Q250.A body of weight W on a rough inclined plane is in equilibrium. If coefficient of friction is1/ 3, then the inclination of plane with horizontal is -

A750 B600 C450 D300

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EnglishRajasthan TGT 2011

Q251.Which one of the following equations is the Cartesian equation of catenary?

As ctan = Ψ Bx y ccosh c = Cs ysin = Ψ Dx y csinh c =

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EnglishRajasthan TGT 2011

Q252.If a particle describes the curve r aeθ = with constant angular velocity, then its radicale acceleration is equal to

A2 r = θ i B2 2r = θ i C0 D2 3r = θ i

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EnglishRajasthan TGT 2011

Q253.If the tangential and normal components of acceleration of a moving particle be always equal, then the velocity varies as

AeΨ B2/e Ψ C2 e Ψ D2/eΨ

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EnglishRajasthan TGT 2011

Q254.A particle executing simple harmonic motion has acceleration 8 cm/sec2 when its distance is 2 cm from the centre. The time period will be-

Asecond 2 π Bsecond/π C1 second π D2 second π

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EnglishRajasthan TGT 2011

Q255.A particle moving with simple harmonic motion has an amplitude a. Its distance from the centre where the velocity is half of the maximum velocity will be

Aa 3 ± Ba 2 ± Ca 2 ± Da 3 2 ±

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EnglishRajasthan TGT 2011

Q256.If a particle is projected from a fixed point with initial velocity u at an angle α with the horizontal then horizontal range is -

A2 u sin 2 g α B2 u sin g α C2 u sin 2g α D2 u sin 2g α

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EnglishTGT 2011

Q257.Two particles 'A' and 'B' are released from a height of 5 m and 20 m respectively, then the ration of time taken by 'A' and 'B' to reach the ground will be–

A1:4 B2:1 C1:2 D1:1

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EnglishTGT 2011

Q258.A person is standing is a lift which is going up with an acceleration 'f'. The person will feel heavy–

A(f + g) times of real weight B(f – g) times of real weight C(fg) times of real weight Df g times of real weight

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EnglishTGT 2011

Q259.A particle making an angle of 45o with the horizontal is projected at a speed of 49 2 m/sec. After what time will it be in a direction at right angles to the direction of projector.

A10 2 sec. B10 sec. C8 sec. D5 sec.

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EnglishTGT 2011

Q260.A particle starts form rest and moves with a constant acceleration. The ratio of increase in kinetic energies in mth and (m+1)th second will be–

Am:m B(m+1): (m–1) C2m–1: 2m+1 DNone of these

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