Question : If $\cos\theta+\sin\theta=m$ and $\sec\theta+\operatorname{cosec \theta}=n$, then the value $n\left ( m^{2}-1 \right )$ is equal to:

Option 1: $2m$

Option 2: $mn$

Option 3: $4mn$

Option 4: $2n$

Question : A ball possesses 3000 units of momentum. What would be the ball's new momentum if its velocity was doubled?

Option 1: 3000 units

Option 2: 6000 units

Option 3: 20000 units

Option 4: 9000 units

Question : A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be:

Option 1: $1 : 2$

Option 2: $2 : 1$

Option 3: $1:\sqrt{2}$

Option 4: $\sqrt{2}:1$

Question : When the net torque is zero, _________ will be constant.

Option 1: force

Option 2: angular momentum

Option 3: linear momentum

Option 4: acceleration

Question : The circular measure of the angle formed by the hour hand and minute hand of a clock at 3 p.m. will be:

Option 1: $\frac{\pi}{4}$

Option 2: $\frac{\pi}{3}$

Option 3: $\frac{5\pi}{12}$

Option 4: $\frac{\pi}{2}$