class 12

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Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of division on the circular scale is 50. Further, it is found that the screw gauge has a zero error of $−0.03$ mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale division in line with the main scale as 35. The diameter of the wire is

Phenol, when it first react with concentrated sulphuric acid and then with concentrated nitric acid, gives

Which one of the following constitutes a group of the isoelectronic species ?

A motor cycle starts from rest and accelerates along a straight path at $2m/s_{2}$. At the starting point of the motor cycle there is a stationary electric sire. How far has the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was at rest ? (speed of sound $=330ms_{−1}$)

For the hyperbola $cos_{2}αx_{2} −sin_{2}αy_{2} =1$, which of the following remains constant when $α$varies?

The differential equation of the family of circles with fixed radius 5 units and centre on the line $y=2$is

In a shop there are five types of ice-creams available. A child buys six ice-creams.Statement -1: The number of different ways the child can buy the six ice-creams is $_{10}C_{5}$.Statement -2: The number of different ways the child can buy the six ice-creams is equal to thenumber of different ways of arranging 6 As and 4 Bs in a row.

Statement-I: For a mass M kept at the centre of a cube of side gravitational field passing through its sides is $4π$ GM. And Statement-II : If the direction of a field due to a point source is radial and its dependence on the distance 'r' for the source is given as $1/r_{2}$, its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.