An artist has created a triangular stained glass window and has one strip of small length left before completing the window. She needs to figure out the length of left out portion based on the lengths of the other sides as shown in the figure .

A uniform electric field E is created between two parallel ., charged plates as shown in figure . An electron . enters the field symmetrically between the plataes with a . speed v_0. The length of each plate is l. Find the angle of . deviation of the path of the electron as it comes out . of the field.

Shown a circular coil of N turns and radius a, connected to a battery of emf epsilon through a rheostat. The rheostat has a total length L and resistance R. The resistance of the coil is r. A small circular loop of radius a' and resistance r' is placed coaxially with the coil. The centre of the loop is at a distance x from the centre of hte coil. In the beginning, the sliding contact of the rehostat is at the left end and then on wards it is moved towards right at a constant speed v. Find the emf induced int he small circular loop at the instant (a) the contact begins to slide and (b) it has slid thrugh half the length of the rheostat.

Figure shown an imaginary cube of edge L/2. A uniformly Charged rod of length L moves towards left at a small but constant speed v. At t=0, the left end just touches the centre of the cube opposite it. Which of the graphs shown in figure represents the flux of the electic field through the cube as the rod goes through it?

Figure shown pallel plate capacitors with fixed plate and connected to two batteries .The separation between the plate is the same for the two capacitors .The plates are rectangular in shape with width b and lengths l_1 and l_2. The left half of the dielectric slab has adielectric constant K_1 and the right half K_2 . neglecting any friction ,find the ratio of the emf of the right battery for which the dielctric slab may remain in equilibrium.

Figure shows a light rod of length l rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from rest with the rod in a horizontal position. There is a fixed smooth ring at a depth h below the initial position of the hook and the hook gets into the ring as it reaches there. What should be the minimum value of h so that the block moves in a complete circle about the ring?

A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle theta and released figure. The string hits a peg which is fixed at distance x below the point of suspension and the bob starts going in a circle centred at the peg. a. Assuming that initially the bob has a height less thasn the peg, show that the maximum height reached by the bob equals its initialheight. b. If the pendulum is released with theta=90^0 and m=L/2 find the maximum height reached by the bob above its lowest positon before the string becomes slack. c. Find the minimum value of x/L for which the bob goes in a complete circle about the pet when the pendulum is released from theta=90^0 .

The pulley shown in figure has a radius of 20 cm and moment of inertial 0.2 kg-m^2. The string going over it is attached at one end to a vertical sprign of spring constant 50 N/m fixed from below and supports a 1 kg mas at other end. The system is released from rest with the spring at its natural length. Find the speed of the block when it has desceds through 10 cm. Take g=10 m/s^2 .

Figure shows a small block of mass m kept at the left end of a larger block of mass M and length l. The system canslide on a horizontal road. The system is started towards right with an initia velocity v. The friction coefficient between the road and the bigger block is mu and that between the block is mu/2 . Find the time elapsed before the smaller blocks separates from the bigger block.

Figure shows an aluminium rod joined to a copper rod. Each of the rods has a length of 20cm and area of cross section 0.20cm^(2) . The junction is maintained at a constant temperature 40^(@)C and the two ends are maintained at 80^(@)C . Calculate the amount of heat taken out from the cold junction in one minute after the steady state is reached. The conductivities are K_(Al)=200Wm^(-1)C^(-1) . and K_(Cu)=400Wm^(-1)C^(-1) .

An aluminium rod and a copper rod of equal length 1.0 m and cross-sectional area. 1cm^(2) are welded together as shown in figure. One end is kept at a temperature of 20^(@)C and the other at 60^(@)C Calculate the amount of heat taken out per second from the hot end. thermal conductivity of aluminium =200Wm^(-1)C^(-1) and of copper =390Wm^(-1)C^(-1) .