Physics

A mass 0.9kg, attached to a horizontal spring, executes SMH with an amplitude A₁. When this mass passes through its mean position, then a smaller mass of 124 g is placed over it both masses move together with amplitude A₂. If the ratio $\frac{A_1}{A_2}is\frac{\alpha }{\alpha -1},$  then the value of a will be______.

A long cylindrical volume contains a uniformly distributed charge of density $\rho C{m}^{-3}.$  The electric field inside the cylindrical volume at a distance $x=\frac{2{\epsilon }_0}{\rho }m$  from its axis is_________Vm^-1.

A 1 m long copper wire carries a current of 1 A. If the cross section of the wire is 2.0mm² and the resistivity of copper is 1.7 * 10^-8 $\Omega m,$  the force experienced by moving electron in the wire is _______* 10^-23N.

To light, a 50 W, 100 V lamp is connected, in series with a capacitor of a capacitance $\frac{50}{\pi \sqrt[]{x}}\mu F,$ with 200V, 50Hz AC source. The value of x will be________.

Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the two beams are p/2 and p/3 at points A and B respectively. The difference between the resultant intensities at the two points is xI. The value of x will be________.

The one division of main scale of Vernier calipers reads 1mm and 10 divisions of Vernier scale is equal to the 9 divisions on main scale, When the two jaws of the instrument touch each other, the zero of the Vernier lies to the right of zero of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the zero of the Vernier scale lies in between 4.1 cm and 4.2cm and 6^th Vernier division coincides with a main scale division. The diameter of the bob will be ________* 10^-2 cm.

In a meter bridge experiment, for measuring unknown resistance 'S', the null point is obtained at a distance 30cm from the left side as shown at point D. If R is 5.6 $k\Omega$ , then the value of unknown resistance 'S' will be ___________ $\Omega .$

Magnetic flux (in weber) in a closed circuit of resistance $20\Omega$  varies with time t(s) as $?$  = 8t² – 9t + 5. The magnitude of the induced current at t = 0.25s will be _______mA.

A convex lens of focal length 20cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60cm from the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is ______cm.