The given statement"If the pressure of a gas sample is quadrupled and the absolute temperature is doubled" is false.
Answer: Option B
<u>Explanation:</u>
As we know the direct relationship between Pressure and Temperature by the Gay-Lussac’s Law,

From this, we get,


So, according to given statement, we have 
Then from the above expression, we can find out the value of
when pressure increased by 4 times of initial pressure as,

Hence, we get,

Hence, from the above expression we can say that as we increase the pressure four times, the temperature does not get doubled. So, the given statement in the question is false.
Answer:
a,b,c and d.
Explanation:
Of the following statements the correct are:
a) It is possible to induce a current in a closed loop of wire located in a uniform magnetic field by either increasing or decreasing the area enclosed by the loop.
b) It is possible to induce a current in a closed loop of wire without the aid of a power supply or battery.
d) It is possible to induce a current in a closed loop of wire by change the orientation of a magnetic field enclosed by the wire.
e) It is possible to induce a current in a closed loop of wire by changing the strength of a magnetic field enclosed by the wire.
The resultant in the x-direction:
Rx = F1 + F2 = 2.5 N - 1 N = 1.5 N .
The resultant in the y-direction:
Ry = F3 + F4 = 2 N - 3 N = -1 N.
Given that:
k = 500 n/m,
work (W) = 704 J
spring extension (x) = ?
we know that,
Work = (1/2) k x²
704 = (1/2) × 500 × x²
x = 1.67 m
A spring stretched for 1.67 m distance.