Questions asked by Ratnesh Bhosale

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• Which metal is more reactive from - (A) Sodium (B) Copper (C) Silver (D) Mercury. Explain how?
  
• Let chord CD is parallel to tangent to circle at point A as shown in figure CD = 2, ∠CAD= Π/3, then area of ΔCAD is ? (A) √3 (B) 4√3 (C) 16√3 (D) 4
  
• Let a^6 - b^6 is simplified to (a - b) (a^2 - ab + b^2) k , then k is?
  
• Write the expression for the equilibrium constant for the following reactions ? 2SO2(g) + O2(g) -------> 2SO3(g)
  
• Let N = a2607b be a six digit number divisible by 75, then 'a' can not be equal to? (A) 1 (B) 2 (C) 4 (D) 7
  
• Consider 3 equal circles of radius r within a given circle of radius R each to touch the other two and the given circle as shown in figure, then the area of shaded region is equal to ?
  
• If fourth term of an A. P. is zero, show that its 25th term is thrice its 11th term.? ( A.P. = arithmetic progression )
  
• Hurricane carries which of the following Beaufort Number? (a) 9 (b) 10 (c) 11 (d) 12
  
• The mean sea- level pressure of the atmosphere decreases by half at the altitude of ? A) 6 Km. B) 8 Km. C) 10 Km. D) 12 Km.
  
• If 1 is added to both the numerator and denominator of a fraction its value becomes 1/2 and if 1 subtracted from both the numerator and denominator of a fraction it becomes 1/3 then What is the original fraction?
  
• In the adjacent figure, ∠ B = 90 degrees and D and E are the trisection points of BC then prove that 3AC^2 + 5AD^2 = 8AE^2 ?
  
• How to construct triangle LMN , such that LN = 8 cm and ∠ LMN = 80 degrees and LM- MN= 3 cm?
  
• He was angry but he decided to meet her. (Make it a complex sentences.)?
  
• When the son will be as old as his father today, the sum of their ages then will be 126. When the father was as old as his son is today, the sum of their ages was 38. Find their ages?
  
• Form the quadratic equation whose roots are the squares of the sum of the roots and square of the difference of the root of the equation #2x^2+2(m+n)x+m^2+n^2=0#.?
  
• Starting from rest, a particle is constrained to move in a circle of radius #4 m#. The tangential acceleration is #a_t = 9 m/s^2#. How long will it take to rotate #45º#?
  
• A particle of mass m moving with a velocity v makes an elastic one-dimensional collision with a stationary particle of mass m establishing a contact with it for extremely small time T. Their force of contact increases from zero to ...........?
  
• A bead of mass m is welded at the periphery of the smoothly pivoted disc of mass m and radius R as shown in figure. The pivot axis is horizontal and through the centre of disc. The disc is free to rotate in vertical plane. The disc is released .......?
  
• A solid sphere of mass m and radius R is rigidly enclosed in solid hollow shell of same mass m & radius R. This body is rolling down a rough incline of inclination #pi/4#.If minimum value of coefficient of static friction is #x/23#. Find value of #x#?
  
• A cylinder of radius R is kept embedded along the wall of a dam as shown. Take density of water as #rho#. Take length as L. The force exerted by liquid on the cylinder in horizontal direction is [Neglecting atmospheric pressure]?
  
• Let #A= { x | x^2 + (m-1)x-2(m+1)=0, x in R}# #B= { x | ((m-1)x^2)+ m x +1=0, x in R}# Number of values of #m# such that #A uu B# has exactly 3 distinct elements, is? A) 4 B) 5 C) 6 D) 7
  
• Let #R# be the region in the first quadrant bounded by the #x# and #y# axis and the graphs of #f(x) = 9/25 x +b# and #y = f^-1 (x)#. If the area of #R# is 49, then the value of #b#, is ? A) #18/5# B) #22/5# C) #28/5# D) none
  
• Number of values of the parameter #alpha in [0, 2pi]# for which the quadratic function, # (sin alpha) x^2 + 2 cos alpha x + 1/2 (cos alpha +sin alpha)# is the square of a linear function is? (A) 2 (B) 3 (C) 4 (D) 1
  
• For #a,b,c# non- zero, real distinct, the equation, #( a^2+b^2)x^2 -2b(a+c) x +b^2+c^2=0# has non-zero real roots. One of these roots is also the root of the equation? A) #a^2x^2-a(b-c)x+bc=0# B) #a^2x^2+a(c-b)x-bc=0# C) #(b^2+c^2)x^2-2a(b+c)x+a^2=0#
  
• Let #f(k)= k/2009# and #g(k) = (f^4(k))/[(1-f(k))^4+(f(k))^4]# then the sum #sum_(k=0)^2009 g(k)# is equal?
  
• Given #f(x)# is a polynomial function of #x#, satisfying #f(x)*f(y)= f(x) +f(y)+f(x y)-2# and that #f(2)=5#. Then #f(3)# is equal to? A) 10 B) 24 C) 15 D) none
  
• Consider the two functions #f(x)=x^2+2bx+1# and #g(x) =2a(x+b)#, where the varible x and the constants a and b are real numbers. Each such pair of the constants a and b may be considered as a point (a,b) in an ab-plane. Let S be the set ......?
  
• What are the rules for defining E-Z configuration?
  
• An organic compound contains 20.0 % Carbon, 6.66% Hydrogen, 47.33% Nitrogen and the rest was Oxygen. Its molar mass is 60 gm. The molecular formula of the compound is? (A) #CH_4 N_2 O# (B) #CH_2 NO_2# (C) #C_2H_6 NO# (D) #CH_18 NO#
  
• If #a +b+c =0# and #a^2+b^2+c^2 =1# , then the value of#a^4+b^4+c^4# is?
  
• Find the solution of the equation : #log_3{(x-3)+x^2-3x} = log _3(x-1)+log_3(x-3)#?
  
• If #13sectheta - 5tantheta =13# then the value of #13tantheta - 5sectheta# can be?
  
• Height attained by particle in vertical direction changing with time #y= 5t-5t^2# then maximum height attained by particle is?
  
• A #20kg # metal block is place on a horizontal surface. The block just begins to slide when horizontal force of #100 N# is applied to it. 1) Calculate the coefficient of static friction. 2) If coefficient of kinetic friction is #0.4# then find.......?
  
• Find the value of # sum_(r=1)^(r=4) {[sin((2r-1)pi/8)]^4 +[cos((2r-1)pi/8]^4}.#?
  
• A red and a green stone falls freely next to each other along vertical paths at a place of the universe where the acceleration due to gravity is exactly #10 m/s^2# and where nothing prevents free fall. The red stone just starts falling when the ......?
  
• If #M# and #m# be the maximum and minimum value of #f (x,y) = 7x^2+4xy +3y^2# subjected to the condition #x^2+y^2 =1# Find #[(M+m)/2]#?
  
• Consider an equation #log_2 (alpha^2-16alpha^3 +66) + sqrt(4beta^4 -8beta^2 +13)+ | (gamma/3-2)| = 4#, Find the numbers of ordered triplets #(alpha, beta, gamma)#? Also find the sum of all possible values of the product #alpha beta gamma#?
  
• Consider the equation #log_10 |x^3 +y^3| - log_10 |x^2-xy +y^2| +log_10 |x^3-y^3| - log _10 |x^2+xy+y^2| = log_10(221)#. If #x+y=17#, then the sum of all possible values of #x# is?
  
• If acceleration is increasing at the constant rate of #2 m/s^2#. Find the distance travelled in #5 sec#? If initial velocity and acceleration both were zero. (A) # 75m# (B) #100m # (C) #125/3 m#
  
• A #200 W# power source emits monochromatic light of wavelength #4950 Angstrom#. How many photons per minute are emitted by the source? [Given: #h = 6.6 xx 10^-34 Js#]
  
• A man can swim in still water with a speed of 3 m/s. #x# and #y# axes are drawn along and normal to the bank of the river flowing to right with a speed of 1 m/s. The man starts swimming from origin #O# at #t=0# second. Assume size ............?
  
• A copper rod of mass #m# rests on two horizontal rails distance #L# apart and carries a current of #i# from one rail to the other. The coefficient of static friction between rod and rails is #mu_s#. What are the (a) magnitude and (b) angle(relative.....?
  
• A spherical shell of radius #R# and uniformly charged with charge #Q# is rotating about its axis with frequency #f#. Find the magnetic moment of the sphere?
  
• An electron is revolving round a proton, producing a magnetic field of #16 weber/m^2# in a circular orbit of radius #1Å#. Its angular velocity is?
  
• From a supply of identical capacitors rated #8 mu F, 250 V#, the minimum number of capacitors required to form a composite #16 mu F, 1000 V# is? (A) 2 (B) 4 (C) 16 (D) 32
  
• Helium gas is heated at constant pressure by#10^0 C#. The percentage of heat energy supplied which is used in increasing the internal energy of the gas is? (A) 60% (B) 71% (C) 75% (D) 100%
  
• Two simple pendulum of length #l# and #16l# are released from the same phase together. They will be at the same phase after a minimum time?
  
• For a questions(Comprehension) of Mechanics refer a photo below.?
  
• A piece of ice (heat capacity #= 2100J kg^(-1 @)C ^-1# and latent heat #= 3.36 xx 10^5 J kg^-1#) of mass #m# gram is at #-5^@C# at atmospheric pressure. It isgiven #420 J# of heat so that the ice starts melting. Finally when the ..........?
  
• What is "occlusion"?