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Q.1 Two cards are chosen from a deck of cards with replacement and X is a random variable for the number of Aces chosen. Then P(x = 1) + P(x = 2) is

Q.2 Average height and variance of 5 students in a class is 150 and 18 respectively. If we add one student whose height is 156 cm then new variance is

Q.13 The area bounded by the curve y = x2 – 1 and tangent to it at (2, 3) and y-axis is

Q.14 A plane parallel to y axis passing through line of intersection of planes x + y + z = 1 and 2x + 3y – z = 4, then which of the point lies on the plane

Q.20 If a < b < c then three circles are touching each other externally and have x-axis as a common tangent, then -

Q.25 If 5 girls and 7 boys are in a class. How many number of groups can be made by 2 girls and 3 boys in which two particular boys never comes together

Q.30 Which of the following is piezoelectric material -

Q.31 What is Wilkinson catalyst -

Q.32 Hall Heroult’s process is -

Q.33 Due to lanthanide contraction what happens in lanthanoids -

Q.35 Which metal is used in X-ray tube -

Q.36 Electronegativity of Aluminium is similar to -

Q.37 BOD of sample A is 10 ppm and BOD of sample B is 20 ppm. Which one is correct ?

Q.38 Which is correct for the nature of H2O2

Q.45 Arrange the following in order of reducing power -

Q.46 If the enthalpy of reaction is 200 J/mol and entropy of the reaction is 40 J/mol K. Above which minimum temperature in Kelvin the process will be spontaneous -

Q.47 Which of the following is not correct -

Q.48 Which statement is correct -

Q.49 Which of the following does not use heterogeneous catalyst -

Q.51 A Loop ABCD have current i = 10A as shown in figure. AB & CD are arc of radius 3cm & 5cm Respectively determine magnetic field intensity at O.

Q.52 A point object is placed in front of a lens at distance 10 cm from convex lens. Lens produces a sharp image at screen located at 10 cm from lens. Now a glass slab of refractive index 1.5 & thickness 1.5 cm is placed in contact with lens at its left side. Now in order to get sharp image again on the screen by what distance screen should be shifted.

Q.53 Determine minimum value of force F required to keep block in equilibrium.

Q.54 Point charge Q in fixed on (d, 0, 0) another charge Q is placed at (0, 0, 0). What should be the value of q so that Q at origin will be in equilibrium.

Q.55 In the given circuit determine the value of i ?

Q.58 L shaped rod is hinged from O in vertical plane at its one end as shown in figure. Rod is in equilibrium position then. Determine φ.

Q.60 A conductor of given shape has temperature difference of 120°C across ends A & B. Whole conductor is of uniform cross sectional area and uniform thermal conductivity. Find the temperature between C & D at steady state.

Q.61 Uniformly charge insulating ring of radius R is given as shown in figure. Determine the distance h from centre along the axis of ring at which electric field intensity is maximum.

Q.64 Length of a conducting wire is increased by 0.5% keeping its volume constant. Determine the percentage change in resistance of wire.

Q.65 A block rest on smooth surface attached with spring as shown spring is in natural length, if a constant force F applied on block in rightward direction then find maximum velocity of block ?

Q.66 A rod of torsional constant k is attached to centre of masses of two point mass connected by massless rod at point P as shown in fig. If rod is twisted by small angle Δθ and released, find its angular frequency ?

Q.67 Earth is revolving around sun with angular momentum L then determine the aerial velocity of earth. (mass of earth is m kg)

Q.68 Four colour band resistor with colours of band is given in figure. What is the value of resistance of resistor.

Q.70 A particle is moving in xy plane with velocity . jˆ x iˆ v = y + r Determine equation of path of particle.

Q.71 A Ideal gas is taken from state A to state C By two different processes ABC & ADC as shown in PV graph. Heat supplied to the gas in ABC process is 60 Joule while work done by gas in same process is 30 joule. If work done by gas in ADC process is 10 joule. Determine heat supplied to gas in process ADC.

Q.75 Dielectric of dielectric constant k is present between the plates of capacitor as shown in figure. Determine the capacitance of parallel plate capacitor. (Plates of capacitor are square of width a)