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*Image* A trolley is being self-pulled up an incline plane by a man sitting in it. He applies a force of 250 N. If the combined mass of the man and trolley is 100 kg, find the acceleration of the trolley. ...
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A rod is resting on a plane surface. As shown in figure. The coefficient of friction is u. Angle is theta. Prove that tan-1(1-u2/2u) *Image* ...
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Using vectors prove that : *Image* the co-ordinates of C is (x1+x2,y1+y2) Given : the coordinates of A are (x2,y2) and the coordinates of B are (x1,y1) and OACB is a parallelogram (Y and X represent the coordinate axes) ...
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1 + 1+2/1! + 1+2+3/2! + 1+2+3+4/3! + ..... ∞ = (a) 0 (b) 1 (c) 7e/2 (d) 2e Brahmastra - Exponential and logarithmic series Q No.5 ...
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*Image* Calculate EQ capcitance . please solve ...
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P-V diagram of a diatomic gas is a straight line passing through origin. the molar heat capacity of the gas in the process will be (A) 4R (B) 25R (C) 3R (D) 4R/3 (*please show the working) ...
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A cylindrical pulley of mass M and radius R is connected to another pulley of mass M/2 ,R/2 through a massless string as shown. If sufficient string is wrapped over larger pulley,find the accleration of mass M attached to the ...
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A rod OA of mass m and length L hinged at end O can rotate smoothly in vertical plane about horzontal axis passing through O .It is released from a horizontal position as shown. and strikes a block of mass M kept vertically b ...
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1. *Image* 2. *Image* 3. *Image* 4. *Image* 5. *Image* 6. *Image* ...
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f(x)= log[x]/x evaluate limit x→ ∞ ...
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Among KO2, AlO2-, BaO2 and NO2+, unpaired electron is present in NO2+ and BaO2 KO2 and AlO2- KO2 only BaO2 only ...
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Among the following structures, which is not a permissible resonance? *Image* *Image* *Image* 4.None of these ...
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Specify the coordination geometry around and hybridisation of N and B atoms in a 1:1 complex of BF3 and NH3 a)N :tetrahedral,sp3 ,B :tethedral,sp3 b)N :pyramidal,sp3 , B :pyramidal,sp3 c)N :pyramidal,sp3, B :planar,sp2 d)N :p ...
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Condenser A has a capacity of 15 when it is filled with a medium of dielectric constant 15. Another condenser B has a capacity 1 with air between the plates. Both are charged separately by a battery of 100V. After charging, b ...
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Q1: *Image* a)-1 b)loge1 c)1 d)none q2: *Image* a) 1/2 sin3a b) 1/2 cosec2a c)sin3a d)cosec3a q3: *Image* a)1 b)-1 c)0 d)none q4:if 0<x<y then *Image* a)e b)x c)y d)none q5: *Image* a)1 b) sinx/x c) x/sinx d)none ...
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\lim_{x\rightarrow \infty} 100[((x+1)(x+2)...(x+100))^{1/100} - x] ...
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If each ai>0, then the shortest distance between the point(0,-3) and the curve y=1+a1x2 + a2x4 + ...........................................+anx2n is a) 1 b) 2 c) 3 d) 4 ...
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