A lead ball moving with a velocity V strikes a wall and stops. If 50% of its energy is converted into heat, then what will be increase in temperature? (specific heat of lead is S)
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a
2V2JS
b
V24JS
c
V2SJ
d
V2S2J
answer is B.
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Detailed Solution
from Joules lawwork done is converted to heat energy⇒W=JQ---(1)50% of moving energy = 50100xKE=W (from W=∆KE)W=50100x12mV2---(2) here m is mass of the ball; V is velocity of ballheat energy Q=mSdθ----(3) here S is specific heat;dθ is change in temperature substitute equations (2),(3) in (1) 12(12mV2)=JmSdθ ⇒dθ=V24JSincrease in temperature =V24JS