Maharashtra State Board
- Find the first two terms of the sequence for which Sn is given below Sn=n^2 (n+1) Answer is 2 , 10 Solution :: To find the first term substitute n=1 in formula S₁=1²(1+1)=1(2)=2 To find the second term, substitute n = 2 in... 1
- Prove. Sec2 A + Cosec2 A = Sec2 A Cosec2 A Proof :: LHS = sec² A + cosec² A =1over(cos²A)+1over(sin²A)=(sin²A+cos²A)over(cos²A sin²A) =1over(cos²A sin²A)=sec²A cosec²A=RHS 1
- Find the area of the sector of a circle of radius 8 cm and arc with length 15 cm. Answer is 60 cm^(2 ) Solution :: Let centre be O red dot radius=OA=8cm=r length of arc= 15cm=L Area of sector= 1over 2× r× l = 1over 2× 8× 1... 1
- Draw a tangent at any point ‘M’ on the circle of radius 3.3 cm and centre ‘O’. Answer :: step-1 } draw circle with radius 3.3 cm , name the centre as "O" and create any point on circle name as "M" . step:2} watch this v... 2
- Refractive index of water with respect to air is 1.33 and that of diamond is 2.42. Refractive index = speed of light in vacuum/speed of light in medium Since the refractive index of diamond is more, hence the speed of light... 1
- Draw the energy band diagram when intrinsic semiconductor (Ge) is doped with impurity atoms of Antimony (Sb). Answer :diagram: 2
- 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
- A resistor held in running water carries electric current. Treat the resistor as the system Answer: (a) No (b) Yes (c) Yes, electrical work is done on the resistor (d) Δ U = 0 , so the heat given to the water equals the electrical w... 1
- State and explain the first law of thermodynamics The first law of thermodynamics is a form of law of conservation of energy applied to a system. Mathematically it can be written as Q=triang... 1
- At what temperature will the rms speed of air molecules be double that NTP? The correct answer is 1092K or 819°C Explanation :: We have V_rms=√(3RTover M) --at T= T₀ (NTP) V_rms=√(3RT₀over M) But at temperature T V_r... 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
- A and B each have certain number of oranges. A says to B, "if you give me 10 of your oranges, I will have twice the number of oranges left with you. Your solution is in image 2
- On the first day of the sale of tickets of a drama, in all 35 tickets were sold. If the rates tickets Here is your answer please like it and select as best answer thank you 2
- Solve the following simultaneous equations by using Cramers’s rule: 3x-y =7, x +4y =11 Please mark this answer as best answer thank you 2
- Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0 Please mark as best answer 2
- p and q are the points on the sides AB and AC respectively of a triangle ABC, Here is Your answer hit a like on answer thank you 2
- What are balance band and conduction band? Valence band The band having lower energy than conduction band is the valence band. The electrons in valence band are not free to move becau... 1
- Solve the following equations by Cramer’s method i. 7x + 3y = 15; 12y - 5x = 39 Solving the folllowing equation with crammers method or rule solution of 1 Given: 7x+3y=15 ....(1) 12y-5x=39 ........(2) Equation (1) and (2... 2
- What is the angular momentum of the electron in the third Bohr orbit in the hydrogen atom? Angular momentum of an electron in the nth Bohr orbit of hydrogen atom L= nh over 2π For n=3 L=3hover 2π L=3×1.055×10⁻³⁴ L=3.165 × 10⁻³⁴ Kg... 1
- The Boolean expression for an AND gate is ____. a) A+B b) A.B c) A+B d) A.B b) A.B is the correct answer 2
- A simple pendulum is suspended from the roof of a train. If the train is moving with an acceleration of 49 cm/s2 , pseudo force=ma gravity=mg tan θ = maover mg θ = tan⁻¹(maover mg) =tan⁻¹( 0.49over 9.8) =tan⁻¹(0.05) = 3 ^o 1
- A person standing on the bank of the river observes that the angle of elevation of the top of a tree Let the height of the tree = h Let the width of the river =w Angle of elevation when standing on the bank = 60∘ When moved 40 m away from th... 1
- The diameter of a sphere is 6 cm. Find the total surface area of the sphere. (p = 3.14) diameter of sphere =d=6cm Radius = r=d/2 =6/2 =3cm the total surface area of sphere = 4 π r² =4 × 3.14 × 3² =4 × 3.14 × 9 =36 × 3.14 =113.04... 1
- Sides of a triangle are 7, 24 and 25. Determine whether the triangle is right-angled triangle or not By Pythagoras, if the sum of squares of two sides is equal to the square of the largest side then the triangle is said to be right-angled He... 1