A band brake consists of a lever attached to one end of the band. The other end of the band is fixed to the ground. The wheel has a radius of $$200$$ $$mm$$ and the wrap angle of the band is $${270^ \circ }$$. The braking force applied to the lever is limited to $$100N,$$ and the coefficient of friction between the band and the wheel is $$0.5.$$ No other information is given.

The maximum wheel torque that can be completely braked is

A mould has a downsprue whose length is $$20$$ $$cm$$ and the cross sectional area at the base of the down sprue is $$1\,\,c{m^2}.$$ The down sprue feeds a horizontal runner leading into the mould cavity of volume $$1000\,\,c{m^3}.$$ The time required to fill the mould cavity will be

Match List - $${\rm I}$$ (products) with List - $${\rm II}$$ (casting process) and select the correct answer using the codes given below the lists

The strength of a brazed joint