**Answer:**

a)

b) 29

c)

d)

**Explanation:**

mass, m =0.96 g

k = 220 N/m

Total energy, E = 3.0 J

Now,

a)

where, A is the amplitude

on substituting the values, we get

or

or

or

b) Time period (T) is given as:

on substituting the values,we get

or

thus, number of oscillations (N) in 12s will be

c)Maximum K.E = total mechanical energy

thus,

d)The angular frequency (ω) is given as:

on substituting the values,we get

or

Now, the speed (V) in SHM is calculated as;

for x = 0.12m

we get

or

**Answer:**

A. Increasing the voltage of the battery

**Explanation:**

The relationship between voltage, V, current, I and resistance, R, is given as follows;

V = I × R

∴ I = V/R

From the above relationship, the current flowing in the circuit is directly proportional to the voltage of the battery, and inversely proportional to the resistance, 'R', of the circuit

Therefore, increasing the voltage, 'V', of the battery, increases the total current, 'I', flowing in the circuit.

**Answer:**

The correct option is "**Zero**". A further explanation is given below.

**Explanation:**

As we know,

**The capacitor is given by:**

⇒

**Rate of change with respect to the time will be:**

⇒

Now,

**It is mentioned in the question that the capacitor is completely charged, then**

⇒

i.e.,

⇒

All other choices available aren't related to that same scenario in question. So the answer above is the perfect one.

In a scientific experiment, control, independent variable and independent variable have to be present in order to allow for proper manipulation of the experimental parameters. Control are used in experiments to compare other variables. The independent variable is used to modify the dependent variable. The dependent variable is the variable that is been tested, it is used to verify the stated hypothesis of the experiment.