Mechanical Wave

Q. Sound is not a mechanical wave.

1. False
2. True

Q.

Which among the following requires a medium for propagation?

1. Light

2. Sound

3. Microwaves

4. X rays

Q.

A big explosion on the Moon cannot be heard on the Earth. Which of the following statement is the correct explanation for this?

1. The explosion produces high frequency sound waves which are inaudible

2. Sound waves require a material medium for propagation

3. Sound wave are absorbed in the moon’s atmosphere

4. Sound waves are absorbed in the earth’s atmosphere

Q.

Sound does not travel through ______.

1. Water

2. Air

3. Vacuum

4. Solids

Q.

Mechanical waves do not require a medium to travel.

1. True

2. False

Q.

If p: Arjun is the fastest q: Azad is the captain. Then which of the following denotes the compound statement: "Arjun is the fastest OR Azad is not the captain”

1. $p\wedge q$

2. $p\vee \sim q$

3. $\sim p\vee \sim q$

4. $p\wedge \sim q$

Q. The Boolean expression $(p\wedge \sim q)\vee q\vee (\sim p\wedge q)$ is equivalent to

1. $p\wedge q$
2. $p\vee \sim q$
3. $p\vee q$
4. $\sim p\wedge q$

Q. Which among the following statements have truth value as FALSE
$A)13$ is odd number and prime number.
$B)23$ is even number and prime number.
$C)$ Volume of sphere is $\frac{4}{3}\pi r^3$ cubic units and surface area is $\pi r^2$ sq. units.

1. $B$ and $C$
2. $A,B$ and $C$
3. $A$ and $C$
4. $A$ and $B$

Q. Consider the following statements:
P: Ramu is intelligent.
Q: Ramu is rich.
R: Ramu is not honest.
The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

1. $\left(\right(P\wedge (\sim R))\wedge Q)\wedge \left(\right(\sim Q)\wedge ((\sim P)\vee R\left)\right)$
2. $\left(\right(P\wedge (\sim R))\wedge Q)\vee \left(\right(\sim Q)\wedge ((\sim P)\vee R\left)\right)$
3. $\left(\right(P\wedge R)\wedge Q)\vee \left(\right(\sim Q)\wedge ((\sim P)\vee (\sim R)\left)\right)$
4. $\left(\right(P\wedge R)\wedge Q)\wedge \left(\right(\sim Q)\wedge ((\sim P)\vee (\sim R)\left)\right)$

Q. The maximum number of compound propositions, out of $p\vee r\vee s,p\vee r\vee \sim s,p\vee \sim q\vee s,\sim p\vee \sim r\vee s,$
$\sim p\vee \sim r\vee \sim s,\sim p\vee q\vee \sim s,q\vee \sim s,q\vee r\vee \sim s,q\vee \sim \vee \sim s,$
$\sim p\vee \sim q\vee \sim s$ that can be made simultaneously true by an assignment of the truth values to $p,q,r$ and $s,$ is equal to