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A smooth sphere of radius R is made to translate in a straight line with constant acceleration a=g. A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. The speed of the ...

a chain of mass m=0.8 kg and length l=1.5 m rests on a rough table so that one of its ends hangs over the edge.The chain starts sliding off the table all by itself provided the hanging part is n=1/3 of chain's length.What wil ...

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At 298K, the thermal expansion coefficient and the Isothermal compressibility of liquid water are and respectively. Then, for water at 300 K and P = 1.00 bar is : a) 1.5 * 10^4 bar b) 3 * 10^-4 bar c) 6 * 10^-4 bar d) 9 * 10^ ...

Two particles ,1 and 2, move with constant velocities v1 and v2 . At the initial moment their radius vectors are r1 and r2 . How must these four vectors be interrelated for the particles to collide ? ...

A particle of mass m moves in one-dimensional Potential energy U(x)=-ax2+bx4.a&b are +ve constants.The angular frequency of small oscillations about the minima of the potential energy is (A)Ï€ a/2b (B)2 a/m (c) 2a/m (D) a/2m ...

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A wire of resistance ' R ' and length ' L ' is connected to a d.c. source of emf V through a switch ' S ' *Image* At t = 0, the switch ' S ' is closed and at the same time an external agent starts stretching the wire such tha ...

cosec θ = cot θ + √3 ...

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The value of CP - CV is 1.00R for a gas sample in state A and is 1.08R in state B. Let pA and pB denote the pressures and TA and TB denote the temperatures of the states A and B resp. Most likely (a) pA<pB & TA>TB (b) p ...

The value of the expression 47C4 + j=15Σ52-j C3 IS ... ...

Find the H.C.F. of the minimum non-negative values of a,b and c, given that the equation x4+ax3+bx2+cx+1=0 has only real; roots ... ...

To both, A and B, move away from a buoy and ancurd at the middle of a river, and the boat B across the river. Having moved off an equal distance from the buoy the boats returned . Find the ratio of times of motion of boats Ï„ ...

How do flies and other insects walk up walls without falling? ...

A ball is dropped on a floor from a height of 2.0m. After the collision it rises upto a height of 1.5m. Assume that 40% of the mechanical energy lost goes as thermal energy into the ball. Calculate the rise in the temperature ...

A 100kg block is started with a speed of 2m/s on a long, rough belt kept fixed in a horizontal position. The coefficient of kinetic friction betn. the block and the belt is 0.20. Consider the situation from a frame of referen ...

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The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the circle {{x}^{2}}+{{y}^{2}}=1 pass through the point a) (1/2, – 1/4) b) (1/2, 1/4) c) (– 1/2, 1/4) d) (– 1/2, – 1/4) ...

For positive integers n1 and n2 , the value of the expression (1+i)n1+(i+13)n1+(i+15)n2+(i+17)n2 here i= -1 is real if and only if (A)n1=n2+1 (B) n1=n2-1 (C) n1=n2 (D)n1>0,n2 >0 pl post the soln as well . ...

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f(x) is defined for x > −1 and has a continuous derivate. If f satisfies f(0) = 1, f′(0) = 0; (1 + f(x)) f′′(x) = 1 + x. If x is positive then f′(x) is (A) always positive (B) always negative (C) always non-negat ...

How many isomers of will be primary alcohols a) 2 b) 3 c) 4 d) 5 ...

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A block of mass M is attached with the springs as shown. If the block is slightly displaced, the time period of SHM for the block shown in the figure will be? *Image* (A) 2π M/9K (B) 2π M/K (C) 4π/3 M/K (D) π M/2K ...

Two children stand on a large, sloping hillside that can be considered as a plane. The ground is just sufficiently icy that a child would fall and slide downhill with a uniform speed as the result of receiving even the slight ...