Doubtly
@Doubtly · Joined Feb 2021
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- Four identical particles of equal masses 1 kg made to move along the circumference of a circle of radius 1 m under the action of their own mutual gravitational The correct option is A) space√( (1+2sqrt2)Gspace over2) explaination:: By resolving force F₂, we get F₁ + F₂ cos 45° + F₂ cos 45° = F_c F₁... 2
- The integral int (2x^12+5x^9 /(x^5+x^3+x)^3) dx is equal to The correct answer is x¹⁰over 2(x⁵+x³+1)²+C Explanation :: 1
- A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure of 1 atm from triangle V =10-5=5 space litre=5×10³ m³ Q=400J space ,space space P=1atm =1.013×10⁻⁵ pa W=p.dV= 1.013×10⁵ ×5 ×10⁻³ =506.5 J triangle U=Q-W =... 1
- How many chain isomers are possible in C5H12 , answer 3 isomers are possible explaination:: Pentane (C₅H₁₂)is an organic compound with five carbon atoms. Pentane has three structural isomers tha... 1
- The empirical formula of a gaseous compound is CH2 .The density of the compound is 1.25 gm/lit.at S.T.P. The correct option is A) C₂H_(4 ) _(explaination: ) _(Since, 1 lite contains 1.25 gms. Hence 22.4 litres contain(1.25×22.4)gms≡28gms. So mol... 1
- Which of the following is a tautology ? A) (∼p)∧(p∨q)→q option 1) is correct ∼p∧(p∨q)→q (∼p∧p)∨(∼p∧q)→q C∨(∼p∧q)→q (∼p∧q)→q ∼(∼p∧q)∨q =(p∨∼q)∨q=p∨t=t 1
- 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
- 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
- Cos190.cos10+sin190.sin10= a)2 b)0 c)-1 d)1 The correct answer is c)-1 Detailed solution 1
- The value of cos π/2^2.cosπ/2^3..... .cosπ/2^10.sinπ/2^10 The correct answer is option B)1/512 Detailed solution 1