9. solve any three questions
a.A projectile is fired from the ground level with velocity of 500m/s at 30 degree to horizontal.find the horizontal range and greatest vertical height to which it rises .what is the least speed with which it could be projected in order to achieve the same horizontal range.
b.A constant Torque of 500Nm turns a wheel which has a moment of inertia 20 kgm square about its centre .find the angular velocity gained in 2 sec and the kE gained .
c.A steel wire of density 8000 kg/metre cube weight 24 gm and is 250 cm long .it lengthen by 1.2 mm when stretched by a force of 80 N . calculate young modulus for the steel and energy stored in the wire.
d.A rectangular plate of dimensions 6cm ,by 4cm and thickness 2mm is placed vertical so that it largest side just touches the surface of the water . calculate downward force on the plate due to surface tension.[surface tension of water=7.0*10-2N/m
10.Solve any two questions
a.The pendulum of a clock is made of brass .if the clock keeps correct time at 15 degree Celsius .how many second per day will it loss at 20 degree Celsius.
b.Estimate the rate of heat loss through a glass window of area 2 m square and thickness 3mm when the temperature of the room is 20 degree Celsius and that of air outside is 5 degree Celsius.
c.A carnot engine has 50% efficiency with a link at 9 degree Celsius .By how many degree should the temperature of the source be increased in order to raise the efficiency to 70%.
11.solve any one question
a. what is the apparent position of an object below a rectangular glass slab 6cm thickness if a layer of water 4cm thick is on the top of the glass slab.
b.An achromatic lens of focal length +30cm is to be constructed by combining a crown glass lens and flint glass lenses.what must be the focal length of the compound lenses .if the dispersive power of crown glass and flint glass are 0.018 and 0.027 respectively.
12.Solve any one question.
a.what distance must be an electron move in a uniform potential gradient 200v/cm in order to gain kE 3.2*10-19j.
b.Two capacitor of capacitance 4 micro farad and 12 micro farad respectively are connected in series .The combination is than connected momentarily across a 200V .find the charge and pd across each capacitor.
NOTE .for setB numerical
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