(v)

For a gas sample with N_(0) number of molecules, function N(V) is given by: N(V) = (dN)/(dV) = ((3N_(0))/(V_(0)^(3)))V^(2) for 0 lt V lt V_(0) and N(V) = 0 for V gt V_(0) . Where dN is number of molecules in speed range V to V+ dV . The rms speed of the molecules is:

A series L-C-R circuit is connected across a variable frequency source of emf. V_(L), V_(C), V_(R) are instantaneous voltage drops across inductor capacitor and resistor and V is instantaneous voltage across the circuit. {:(" Column I",," Column II"),((A) |V|,,(p) "Can be greater than zero"),((B) |V|-|V_(L)|,,(q) "Can be less than zero"),((C) |V|-|V_(C)|,,(r)"Can be equal to zero"),((D) |V|-|V_(R)|,,):}

Two sources of sound are moving in opposite directions with velocities V_(1) and V_(2)(V_(1) gt V_(2)) . Both are moving away from a stationary observer. The frequency of both the source is 1700Hz. What is the value of (V_(1)-V_(2)) so that the beat frequency observed by the observer is 10Hz. V_("sound")=340m//s and assume that V_(1) and V_(2) both are very much less than V_("sound") .

A band playing music at a frequency f is moving towards a wall at a speed v_h . A motorist is following the band with a speed v_m . If v is the speed of sound, the expression for the beat frequency heard by the motorist is (n(V+V_m)V_b)/((V^2 - V_b^2)) . Then n