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A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

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Two points P and Q are maintained at the potentials of 10V and $−4V$ respectively. The work done in moving 100 electrons forom P to Q is

Let $A=[55αα0α5α005]I f˙∣∣ A_{2}∣∣ =25,$then $∣α∣$equals

If (2, 3, 5) is one end of a diameter of the sphere $x_{2}+y_{2}+z_{2}−6x−12y−2z+20=0$, then the coordinates of the other end of the diameter are

It is given that the events A and B are such that $P(A)=41 ,P(BA )=21 andp(AB )=32 ˙$ Then P(B) is:

Which one of the following is the correct statement ?

The value of $2 ∫sin(x−4π )sinxdx $is:

If a line makes an angle of $4π $with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is

Toluene is nitrated and the resulting product is reduct is reduced with tin and hydrochloric acid. The product so obtained is diazotised and then with cuprous bromide. The reaction mixture so formed contains