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Carbon disulphide 'CS2' . Can be made from by product SO2. The overall reaction is 5C + 2SO2 > CS2 + 4CO
How much CS2 can be produced from 450kg of waste SO2 with excess of coke if the SO2 conversion is 82%?

#"50 g"# of #"ZnS"# are strongly heated in air to effect partial oxidation and the resultant mass weighed #"44 g"#. What is the ratio of #"ZnO"# to #"ZnS"# in the resulting mixture?

Mole fraction of ethanol in ethanol and water mixture is 0.25. Hence percentage concentration of ethanol by weight of mixture is?

The molality of a 1L solution with x% H2SO4 is 9. The weight of solvent is 910 grams. The value of x is?

An aqueous solution of concentrated hydrobromic acid contains 48% HBr by mass. If the density of the solution is 1.5 g / mL, What is its concentration?

For the equation #sin(3θ) + cos(3θ) = 1  sin(2θ)# then?

If 0 < x < π, and cos x + sin x = 1/2, then tan x is?

Differentiate #y^2 = 4ax# w.r.t #x# (Where a is a constant)?

The real number x when added to its inverse gives the maximum value of the sum at x equal to?

#y = sec^2theta + cos^2theta#, #theta != 0#, then?(Solve it without A.M  G.M inequality method)

If the roots of the equation #bx^2 + cx + a = 0# be imaginary, then for all real values of x , the expression #3b^2x^2 + 6bcx + 2c^2# is?

A particle is moving vertically upward and reaches the maximum height H in T seconds. The height of the particle at any time t ( t > T) will be?

A particle starts from rest and has a constant acceleration of #4m/s^2# for #4sec#. It then retards uniformly for next #8sec# and comes to rest. Average speed of the particle during the motion is?

The length of a seconds hand in a watch is 1 cm. Magnitude of change in velocity of its tip in 15 sec is?

If a,b,c are in GP and a + x , b + x, c + x are in HP. Find x where a,b,c are distinct numbers?

How high a column of air would be necessary to cause the barometer to read 76 cm of Hg, if the atmosphere were of uniform density #1.2Kg/m^3#? The density of Hg = #13.6*10^3Kg/m^3#

A closed beaker of circular cross section radius 4 cm is filled with Hg up to height 10 cm. Find the force exerted by the mercury on the bottom of the beaker?

Calculate the molality of a sulfuric acid solution of specific gravity 1.2 containing 27% #H_2SO_4# by **weight**?

A projectile is fired with velocity u making angle #theta# with the horizontal. What is the change in velocity( from initial ) when it is at the highest point?

A projectile is fired with a speed u at an angle #theta# with the horizontal. Its speed when its direction of motion makes an angle #alpha# with the horizontal is?

For the equation sin 3θ + cos 3θ = 1  sin2θ then?
Please note that the question has multiple answers, i.e. one or more options may be correct.

The velocity of a particle moving along x  axis is given as #v = x^2  5x + 4#(in m/s), where x denotes the xcoordinate of the particle in meters. Find the magnitude of acceleration of the particle when the velocity of particle is zero?

The length of a seconds hand in a watch is 1 cm. Magnitude of change in velocity of its tip in 15 sec is?

A particle is moving in x  axis according to relation #x= (4t  t^2  4)# m then?
**The question has multiple answers**.

What atomic number of an element "X" would have to become so that the 4th orbit around X would fit inside the 1st Bohr orbit of Hatom?

Find the number of integral value of #m# for which exactly one root of the equation #x^22mx+m^21 = 0# lies in the interval #(2,4)#?

If #sin x + sin^2 x = 1# then the value of #cos^2x + cos^4x + cot^4x  cot^2x# is?

Let #alpha,beta# be such that #pi < alpha  beta < 3pi#. If #sinalpha + sinbeta = 21/65# and#cosalpha + cosbeta = 27/65#, then the value of #cos(alpha  beta)/2# is?

If #alpha# and #beta# are the roots of the equation #x^2  x +1 = 0#, then #alpha^2009 + beta^2009# is?

Find the sum of #1^2  2^2 + 3^2  4^2 + 5^2  6^2........#? ( Please find out the #n^(th) term and then use the sigma method)

The pollution in a normal atmosphere is less than 0.01%. Due to leakage of a gas from a factory, the pollution is increased to 20%. If everyday 80% of the pollution is neutralized , in how many days the atmosphere will be normal( #log_2 = 0.3010#)?

If the quadratic equation #ax^2 + 2cx + b = 0# and #ax^2 +2bx + c = 0, (b != c)#, have a common root then a + 4b + 4c is equal to?

If x is satisfied the inequality #log_(x+3)(x^2x) < 1#, the x may belongs to the set?

If #p^th# , #q^th# , and #r^th# terms of a H.P are a,b,c respectively, then prove that #(qr) / (a) + (rp) / (b) + (pq)/(c) = 0?

Find the sum of #2 + 2^2 + 2^3 + 2^4 + 2^5....... 2^n#?

If the #p^(th), q^(th), and r^(th)# of a H.P is a,b,c respectively, then prove that#(qr) /a
+ (rp) / b + (pq)/c = 0#?

If #(a^n + b^n)/(a^(n1) + b^(n1))# is the G.M between a & b find the value of'n'?

If a, b, c are positive such that #ab^2c^3 = 64# then the least value of #(1/a + 2/b + 3/c)# is?

The of the first n terms of the series #1^2 + 2.2^2 + 3^2 + 4.4^2......# is #(n(n+1)^2) / 2#, where n is even. When n is odd, the sum is?

The #p^th# term #T_p# of H.P (Harmonic Progression) is #q(p+q)# and #q^th# term #T_q# is #p(p+q)# when p>1, q>1 then? The question has multiple answers.

If (1+3+5+...... +a ) + (1+3+5+ .......... +b) = (1+3+5......... +c), where each set of parentheses contains the sum of consecutive odd integers as shown such that a+b+c = 21, a>6. If G = Max{a,b,c} and L = Min{a,b,c}, then? The question has multiple ans

If #a,a_1, a_2,.....a_10,b# are in A.P and #a,g_1,g_2,g_3................g_10,b# are in G.P and h is the H.M between a and b, then find the value of below given expression?

Given that #a^x = b^y = c^z = d^u# and a,b,c,d are in G.P, show that x,y,z,u are in H.P?

Express the recurring decimal #0.1bar576# as rational number using the concept of geometric series?

Find the sum of the first n terms of the series : #1+2*(1+1/n) + 3*(1+1/n)^2 + 4*(1+1/n)^3........#?

If the sum to first n terms of a series, the #r^(th)# term of which is given by #(2r + 1)^(2r)# can be expressed as #R(n*2^n) + S*2^n + T#, then find the value of (R+T+S)?

Let #a_1,a_2,a_3......a_n# be an A.P . Prove that:
#1/(a_1*a_n) + 1/(a_2*a_(n1)) + 1/(a_3*a_(n2)) + ......... + 1/(a_n*a_1) = 2/(a_1 + a_n)[1/a_1 + 1/a_2 + 1/a_3 +....... + 1/a_n]#?

If there be 'm' A.P's beginning with unity whose common difference is 1,2,3......m. Show that the sum of their #n^(th)# terms is #(m/2)(mnm+n+1)#?

Prove that the sum of the infinite series #(1*3)/2 + (3*5)/(2^2) + (5*7)/(2^3) + (7*9)/(2^4) ........ oo = 23#?

If an arithmetic progression & a geometric progression have the same first term, the last term & the same number of terms, prove that [ . . . ] (see description)?

Find the sum of the first n terms of the series : #1 + 2(1+1/n) + 3(1+1/n)^2 + 4(1+1/n)^3.......#?

Find the sum of the first n terms of the series #1+2(1+1/n) +3(1+1/n)^2 + 4(1+1/n)^3.......#
Using the agp ( arithmerico  geometrico progression ) sum formula?

Find the distance of point A(2,3) measured parallel to the line x y = 5 from the line 2x + y + 6 = 0?

A triangle ABC is formed by three lines x + y +2 = 0, x  2y + 5 = 0 and 7x + y  10 = 0. P is a point inside the triangle ABC such that areas of the triangles PAB, PBC, and PCA are equal?

A line passes through #(2,2)# and cuts a triangle of area #9 " units"^2# from the first quadrant. The sum of all possible values for the slope of such a line, is?

A variable line passing through the origin intersects two given straight lines 2x + y = 4 and x + 3y = 6 at R and S respectively. A point P is taken on this variable line. Find the equation to the locus of the point P if?A

What is the density of wet air with 75% relative humidity at 1atm and 300K? Given : vapour pressure of #H_2O# is 30 torr and average molar mass of air is 29g/mol?

Find the distance of point A(2,3) measured parallel to the line x y = 5 from the line 2x + y + 6 = 0?

A variable line passing through the origin intersects two given straight lines 2x + y = 4 and x + 3y = 6 at R and S respectively. A point P is taken on this variable line. Find the equation to the locus of the point P if?

A certain volume of argon gas ( Mol.wt = 40) requires 45 s to diffuse through a hole at a certain pressure and temperature. The same volume of another gas of unknown molecular weight requires 60 s to pass through the same hole under same conditions?

Find the reading of the spring balance shown in fig. The elevator is going up with an acceleration g/10, the pulley and the string are light and the pulley is smooth?( The mass of the blocks are 1.5 Kg and 3.5 Kg)

Acceleration of a particle varies as #a = v^2#, where v is the velocity of particle. If initially the particle was at rest, then?

If mass % of Oxygen in a monovalent metal carbonate is 48. Then find the number of atoms of metal present in 5mg of this metal carbonate sample?#( N_a = 6.022 * 10^23)#

Prove that #log_(2/3)(5/6)# is less that one greater than zero? Also explain your answer?

For a body starting off with an initial velocity of #vec u = 16hati + 12hatj m/s# and moving with a uniform acceleration of #vec a = 2.5hati m/s^2#, if after time 't' seconds the velocity #vec V# becomes perpendicular to it's initial velocity, then t= ?

Calculate #int_0^(2pi) cos^2x .dx#?

Find the sum upto infinite terms of the series: #1/(1*3) + 2/(1*3*5) + 3/(1*3*5*7) + 4/(1*3*5*7*9).......# Using partial fractions?

Find the sum of the series #(1+1/3)(1+1/3^2)(1+1/3^4)(1+1/3^8)...... oo#?

A line passes through (2,2) and cuts a triangle of area 9
from the first quadrant. The sum of all possible values for the slope of such a line, is?

A variable line passing through the origin intersects two given straight lines 2x + y = 4 and x + 3y = 6 at R and S respectively. A point P is taken on this variable line. Find the equation to the locus of the point P if?

If the straight lines #ax + by + c = 0# and #x cos(alpha) + y sin(alpha) = c# enclose an angle #pi/4# between them and meet the straight line #x sin(alpha)  y cos(alpha) = 0 # in the same point between them, then?

The equation of a straight line passing through the point (5,4) and which cuts off an intercept of #sqrt2# units between the lines #x + y + 1 = 0# and # x + y  1 = 0# is?

If #sinA + cosecA + 2 = 0# then, #sin^(2017)(A) + cosec^(2016)(A) + 1# is equal to?

The number of possible integral values of the parameter #k# for which the inequality #k^2x^2 < (8k 3)(x+6)# holds true for all values of #x# satisfying #x^2 < x+2# is?

A ray of light is sent along the line #x2y3=0#. Upon reaching the line#3x2y5=0#, the ray is reflected from it. If the equation of the line containing reflected ray is #ax2y = b#, then find the value of#(a+b)#?

With what minimum acceleration mass M be moved on frictionless surface so that m remains stick to it. The coefficient of friction between M and m is u?

#100 ml# of #H_2SO_4 #solution having molarity #1 M# and density #"1.5 g/ml"# is mixed with #400 ml# of water. Calculate final molarity of #H_2SO_4# solution, if final density is #"1.25 g/ml"#?

What is number of real solutions of x which satisfies #(x1)(2x+1)(x+1)(2x3) = 15#?

Find the sum of the series #1/(2sqrt1 + 1sqrt2) + 1/(3sqrt2 + 2sqrt3) + 1/(4sqrt3 + 3sqrt4) ........ 1/(100sqrt99 + 99sqrt100)#? ( Please solve without differentiation )

A pair of straight lines is represented by #2y^2 +5xy 3x^2 = 0#. Another line having an equation #x+y = k#. These lines form a triangle whose centroid is #(1/18,11/18)#. Find the value of k?

Q,R and S are point on the line joining the point P and T. #P(a,x), T(b,y)# such that #TQ=QR=RS=SP#. Then the coordinates #((5a + 3b)/8,(5x+3y)/8)# is the midpoint of which segment?

Why is the Lattice energy of #MgO# greater than #MgF_2# even though the size of Oxygen is greater than Fluorine?

What is the difference between donation and transfer of electrons?

Why is #AlF_3# ionic while #AlCl_3# covalent compound?

Why is #F_2, Cl_2# gaseous room temperature while #I_2# is a solid? Please give an answer relating to bond strength.

There are two separate fixed frictionless inclined planes making angle #60^o# and #30^o# with the horizontal. Two blocks A and B are kept on both of them. Find the relative acceleration of A with respect to B?

Find the sum of the n terms of the series #1*4*7 + 2*5*8 + 3*6*9.....#?

On the portion of the straight line #x+2y=4# intercepted between the axes , a square is constructed on the side of the line away from the origin. The the point of intersection of its diagonals has coordinates is?

Given the family of lines, #a(3x+4y+6) + b(x+y+2)=0#. The line of the family situated at the greatest distance from the point #P(2,3)# has the equation?

If one diagonal of a square is along the line #x=2y# and one of its vertex is #(3,0)#, then its sides through the vertex are given by the equations?

Let P be #(5,3)# and a point R on #y=x# and Q on xaxis are such that #PQ + QR + RP# is minimum. The the coordinates of Q are?

Find the sum till infinity #1*3*5 + 3*5*7 + 5*7*9...#?

Find the sum of the series till n terms #1*3*2^2 + 2*4*3^2 + 3*5*4^2...#?

The equations of two sides AB and AC of an isosceles triangle ABC are x + y = 5 and 7x  y = 3 respectively. Find the equations of the side BC is the area of the triangle is 5 sq. units?

Simplify #30+114n 114 +81{(n1)(n2)} + 17{(n1)(n2)(n3)} + (n1)(n2)(n3)(n4)#?

If O be the origin and if the coordinates of any two points #P_1# and #P_2# be respectively #(x_1,y_1) ,(x_2,y_2)#, prove that #OP_1 * OP_2 cosP_1OP_2 = x_1x_2 + y_1y_2#?

Find the area of the triangle with the coorinates
a) #(acostheta_1,bsintheta_1 , (acostheta_2,bsintheta_2 (acostheta_3,bsintheta_3#
B) #(am_1^2, 2am_1) , (am_2^2, 2am_2), (am_3^2, 2am_3)#?

All the points lying inside the triangle with coordinates #(1,3),(5,0),(1,2)# satisfy?

If the equation #ax^26xy+y^2+bx+cy+d=0# represents a pair of straight lines whose slopes are #m# and #m^2#, then value(s) of a is/are?

Let #A(3,2)# and #B(5,1)#. ABP is an equilateral triangle constructed on the side of AB remote from origin then the orthocentre of triangle ABP is?

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