All questions
- A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. the correct answer is option C) Fover√(mk) Detailed solution:: Maximum speed is at mean position (equilibrium). F = kx x=Fover k W_F + W_sp... 1
- The line x + y = 2 is tangent to the curve x2 = 3 - 2y at its point x²= 3 – 2y 2x = 0 – 2 (dy / dx) ⇒ dy / dx = – x The slope of the tangent of the curve is -x. From the given information of the line, the slo... 1
- If sec 4θ − sec 2θ = 2, then find the general value of θ Answer is θ=nπ+π/2 or nπ/5+π/2 Explanation:: Video Solution:: https://youtu.be/pWg7L988Dt8 1
- The greatest coefficient in the expansion of (1+x) 2n+2 is correct option is B) (2n+2)!over [(n+1)!]² 1
- 1 gram of a carbonate (M2CO3) on treatment with excess HCl produces 0.01186 mole of CO2, The molar mass of M2CO3 in g mol-1 is Ans:- 84.3 g/mole 4) is correct option The equation for the above reaction is as follows:- M2CO3 + 2HCl-> 2MCl+CO2+2H2O This shows that , 1... 1
- Select the correct stability order of the conformation /Rotamers/ Rotational isomers of Ethane Molecule The correct answer is (c) solution:: The isomers which can be produced by the free rotation about single bond are known as conformation /Rot... 1
- If z1, z2 are complex numbers such that, 2z13z12z13z1is purely imaginary number, then finds |z1−z2z1+z2z1−z2z1+z2 | since , 2z₁/3z₁ is purely imaginary 2z₁/3z₁ == λ for some λ ∈ R z₁over z₂= 3 λ over2i Now , 2
- If z is a complex number, then the minimum value of |z| + |z − 1| is ______. First, note that |-z|=|z| and |z1 + z2| ≤ |z1| + |z2| Now |z| + |z-1| = |z| + |1 - z| ≤ |z + (1 - z)| = |1| = 1 Hence, minimum value of |z|... 2
- If (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = x + iy, then what is 2 * 5 * 10….(1 + n2) is equal to? option C) is the correct detailed solution :: We have (1 + i) (1 + 2i) (1 + 3i) ….. (1 + ni) = x + iy …..(i) (1 − i) (1 − 2i) (1 − 3i) ….. (... 1
- Let 'M' be the mass and 'L' be the length of a thin uniform rod. In first case, axis of rotation B) option is correct answer Detailed solution: Moment of inertia of the rod about an axis passing through its centre and perpendicular to th... 1
- A stone of mass 1 kg is tied to a string 2m long and is rotated at constant speed of 40 ms^-1 in a vertical circle The correct answer is option B) 79/81 Explanation:: Formula for tension in vertical circle along a string is T=mv²over r+mg cosθ For highest... 1
- The difference between angular speed of minute hand and second hand of a clock is B) is the correct answer 59π/1800 rad/s Explanation:: Angular speed of minute hand ω_m=2πover 60×60 Angular speed of second hand ω _s =2πove... 1
- An ideal gas has pressure ′ P ′ , volume ′ V ′ and absolute temperature ′ T ' correct option is A) Pm/Kt explaination:: From PV=nRT PV=NKT here K is boltzmann constant now ρ=m/V ρ=Nm/V therefore , V=NKT/P ρ=Pm/NKT valu... 1
- For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 The correct answer is option B)7/16 P(A) + P(B) – 2P (A ∩ B) = 1/4 P(B) + P(C) – 2P(B ∩C) = 1/4 P(A) + P(C) – 2P(A ∩ C) = 1/4 P (A ∩ B ∩ C)... 1
- If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls, is The correct answer is A)55/3(2/3)¹1 Explanation:: There are 12 balls and they are identical . And 3 identical boxes . That hspace0.2cmmeans... 1
- The number of solution of the equation x+2tanx=π/2 in interval [0,2π] is The correct answer is 3 interval For more information and video solution visit Link not available 1
- The general solution of sin x − 3 sin2x + sin3x = cos x − 3 cos2x + cos3x is _________. Below answer is correct 2
- The correct pair of the ambident nucleophiles is are: The correct answer is 3) A and C only Explaination : Ambident nucleophile means in a nucleophile more than one electron donor atom. Eg in NO... 2
- One of the byproduct formed during the recovery of NH3 from solvay process :- The correct answer is C) CaCl₂ Explanation::- This process is also termed as ammonia recovery . The calcium hydroxide is reacted with the am... 1
- The set that represents the Pair of neutral oxide of nitrogen Correct answer is C) NO and N₂O Explanation :: Neutral oxides are those oxides which show neither basic nor acidic properties when they reac... 1
- A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45° 20sqrt3-1 is the correct answer 2
- If x = √3/2 + i/2(i = √-1), then (1 + iz + z5 + iz8)9 is equal to - The correct answer is A) -1 Detailed solution:: 1
- If (z - α)/(z + α) (α ∈ R) is a purely imaginary number and |z| = 2, then a value of α is : The correct answer is B) 2 Explanation :: dfrac z -α z +α +dfrac overline z -α overline z +α =0 z z + z α - α z - α ^ 2 + z z - z α + z α -... 1
- Let A={θϵ(-π/2π):3+2isinθ/1-2isinθ is purely imaginary} then the sum of elements in A is The correct answer is D)2π/3 Detailed answer 1