For the following questions answer them individually
For the given logic gate circuit, which of the following is the correct truth table?
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A block is sliding down on an inclined plane of slope 0 and at an instant t = 0 this block is given an upward momentum so that it starts moving up on the inclined surface with velocity u. The distance (S) travelled by the block before its velocity become zero, is ______.
(g = gravitational acceleration)
A parallel plate capacitor with plate separation 5 mm is charged by a batte1y. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25% more charge from the battery. The dielectric constant of mica is _______.
The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant $$k = 3$$ and permeability of $$ \mu = 2 \mu_{0}$$, is
($$\mu_{0}$$ = permeability of vacuum)
Two shorts dipoles $$(A, B)$$, $$A$$ having charges $$\pm 2\mu C$$ and length 1 cm and $$B$$ having charges $$\pm 4\mu C$$ and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point $$P$$ , equi-distant from the centres of both dipoles is ____ N/ C.
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The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens is _______ cm.
The velocity of sound in air is doubled when the temperature is raised from $$O^{o}$$C to $$\alpha ^{o}$$ C. The value of $$\alpha$$ is _______.
A ball of radius $$r$$ and density $$\rho$$ dropped through a viscous liquid of density $$\sigma$$ and viscosity $$ \eta $$ attains its terminal velocity at time $$t$$, given by $$t = , where $$A$$ is a constant and a, b, c and d are integers. The value of $$ \frac{b+c}{a+d} $$ is_______.
The average energy released per fission for the nucleus of $$ _{92}^{235}U $$ is 190 MeV.
When all the atoms of 47g pure $$ _{92}^{235}U $$ undergo fission process, the energy released is $$\alpha \times 10^{23}$$MeV. The value of $$\alpha$$ is ______.
(Avogadro Number = $$6 /times 10^{23}$$ per mole)
Suppose there is a uniform circular disc of mass $$M$$ kg and radius $$r$$ m shown in figure. The shaded regions are cut out from the disc. The moment of inertia of the remainder about the axis $$A$$ of the disc is given by $$ \frac{x}{256}Mr^{2} $$. The value of $$x$$ iS______.
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