The value of `s in 10^0+s in 20^0+s in 30^0++s in 360^0` 1s- a.`1` b. `0` c.`-1` d. none of these

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal to- 30^0 b. 150^0 c. 210^0 d.none of these

For any "Delta"A B C the value of determinant |sin^2\ \ A cot A1sin^2B cot B1sin^2\ \ C cot C1| is equal to- s in A s in B s in C b. 1 c. 0 d. s in A+s in B+s in C

The specific conductance (k) of a 0.1M NaOH solution is 0.0221 S cm^(-1) . On addition of an equal volume (V) of 0.10 M HCI solution, the value of specific conductance (k) falls to 0.0056 S cm^(-1) . On further addition of same volume (V) of 0.10 M HCI , the value of k rises to 0.017 S cm^(-1) . calculate equivalent conductivity (^^) for HCI in S cm^(2) mol^(-1) .

When 0.15 kg of ice at 0 ^(@) 0 is mixed with 0.30 kg of water at 50 ^(@) C in a container, the resulting temperature is 6.7 ^(@) C . Calculate the heat of fusion of ice. (S_("water") = 4186 J kg^(-1) K^(-1))

A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^(-1) to 3.5 m s^(-1) in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force ?

A galvanometer has resistance G and Current I_(g) produces full scale deflection. S_(1) is the value of the shunt which converts it into an ammeter of range 0-I and S_(2) is the value of shunt for the range 0-2I . The ratio of S_(1) and S_(2) is

A wave travelling along a string is discribed by. y(x,t) = 0.005 sin (80.0 x - 3.0 t) . in which the numerical constants are in SI units (0.005 m, 80.0 rad m^(-1), and 3.-0 rad s^(-1)) . Calculate (a) the amplitude, (b) the wavelength, and (c ) the period and frequency of the wave. Also, calculate the displacement y of the wave at a distance x = 30.0 cm and t = 20 s ?