Simple Pendulum & Spring Constant Experiments — Practice Questions

Free NEET Physics multiple-choice questions on Simple Pendulum & Spring Constant Experiments. Attempt each question and reveal the answer with a full explanation.

In the titration of KMnO 4 against oxalic acid, the solution is heated to about 60-70 C before starting the titration. This is done to: Increase the rate of reaction Prevent the decomposition of KMnO 4 Oxidize oxalic acid to CO 2 directly Act as a self-indicator In Newton's Law of Cooling experiment, a graph is plotted between the log of temperature difference (T - T s) and time t . The shape of the graph is a: Straight line with negative slope Straight line with positive slope Parabola opening upwards Exponential curve In a potentiometer experiment, the balancing length with a cell of EMF E is l . If the current in the primary circuit is increased, the new balancing length will be: Less than l Greater than l Equal to l Zero The sensitivity of a potentiometer can be increased by decreasing the 'potential gradient'. This can be achieved in practice by: Increasing the length of the potentiometer wire Increasing the EMF of the driver cell Decreasing the resistance in the primary circuit Decreasing the length of the potentiometer wire A sonometer wire of length L and mass M vibrates with fundamental frequency n . If the tension is T , then n is: 1 2 TL M 1 2L T M 1 2 T ML 1 2L TM L While setting up a potentiometer, why is it necessary that the EMF of the driver cell must be greater than the EMF of the cell to be measured? To ensure a null point is obtained on the wire To increase the sensitivity of the instrument To prevent current from flowing in the secondary circuit To reduce the heating effect on the wire In a potentiometer experiment, if the wire is non-uniform (i.e., its cross-sectional area varies along the length), which of the following is true? The potential gradient is not constant along the wire The balance point cannot be obtained The sensitivity of the potentiometer increases The EMF of the test cell will appear to be zero To increase the sensitivity of a potentiometer, one should: Decrease the potential gradient by increasing the length of the wire Increase the potential gradient by increasing the current Decrease the resistance of the potentiometer wire Use a driver cell with a much higher EMF A sonometer wire of length l vibrates with frequency f . If the density of the material of the wire is doubled while keeping the length, tension, and diameter constant, the new frequency will be: f / 2 f / 2 2 f 2f A student uses a simple pendulum to determine 'g'. A plot of L (length) vs T 2 (time period squared) is a straight line. The slope of this graph is equal to: g / (4 2) (4 2) / g g 2 g In a sonometer experiment, the frequency of the fundamental note is n . If the tension is made four times and the length is doubled, the new frequency is: n 2n 4n n/2 While measuring the length of a simple pendulum, the length should be measured from the point of suspension to the: Center of gravity of the bob Top of the bob Bottom of the bob Hook of the bob In a potentiometer experiment to compare the EMFs of two cells E 1 and E 2 , the balancing length for E 1 alone is l 1 . When the cells are connected in series aiding ( E 1 + E 2 ), the balancing length is l 2 . The ratio E 1/E 2 is: l 1 / (l 2 - l 1) (l 2 - l 1) / l 1 l 2 / l 1 l 1 / l 2 A student measures the period of a simple pendulum as T = 2.00 s with an error of T = 0.02 s . If the length is L = 1.00 m with L = 0.01 m , the percentage error in the calculated value of g is: 3 % 2 % 1 % 4 % In a meter bridge experiment (see figure), the positions of the cell, E , and galvanometer, G , are interchanged. We shall observe in the galvanometer: Only the right-sided deflection Only the left-sided deflection There will be no deflection irrespective of the position of the jockey Both right-sided and left-sided deflection and at balance point, no deflection In the determination of the enthalpy of neutralization of NaOH and HCl , the temperature of 50 mL of 1.0 M HCl and 50 mL of 1.0 M NaOH both at 25 C rises to 31.8 C after mixing. Assuming the density of the solution is 1 g/mL and specific heat is 4.18 J/g/K , the enthalpy of neutralization is approximately: -56.8 kJ/mol -57.3 kJ/mol -28.4 kJ/mol -113.6 kJ/mol In the resonance tube experiment, if l 1 and l 2 are the first and second resonance lengths respectively, the end correction e is given by: e = l 2 - 3l 1 2 e = l 2 - l 1 2 e = l 2 - 2l 1 e = 3l 1 - l 2 2 A student measures the time period of 100 oscillations of a simple pendulum four times. The data is 90 s , 91 s , 95 s , and 92 s . If the minimum division in the measuring clock is 1 s , then the reported mean time should be: 92 2 s 92 5 s 92 1.8 s 92 1 s In a resonance tube experiment, the first resonance occurs at length l 1 . If the air in the tube is replaced by a denser gas (like CO 2 ) at the same temperature, the new first resonance length will be: Shorter than l 1 Longer than l 1 Equal to l 1 Infinite A simple pendulum is used to measure g . The student observes that for larger amplitudes of oscillation, the measured time period is slightly higher than the value calculated for small oscillations. This is because: The small angle approximation is no longer valid Air resistance becomes negligible at high amplitudes The effective length of the pendulum increases at high amplitudes Gravity acts differently at higher heights In a Sonometer experiment, the fundamental frequency of a vibrating string is n . If the tension in the string is increased by 21 % , the new fundamental frequency will be: 1.1n 1.21n 1.44n 0.9n In a Newton's Law of Cooling experiment, a plot of the rate of cooling dQ dt versus the temperature difference ( - 0) is a: Straight line passing through the origin Straight line with a positive intercept on the y-axis Rectangular hyperbola Parabola The 'water equivalent' of a calorimeter is 10 g . This means that: The calorimeter has the same heat capacity as 10 g of water The mass of the calorimeter is 10 g The calorimeter can hold exactly 10 g of water The specific heat of the calorimeter material is 10 cal/g/ C A student uses a simple pendulum to find the value of g . If the percentage error in the measurement of length is 1 % and the percentage error in the measurement of time period is 2 % , the maximum percentage error in the determination of g is: 5 % 3 % 4 % 1 % In the measurement of the acceleration due to gravity g using a simple pendulum, the length of the pendulum is measured as L = 100 0.1 cm and the time for 100 oscillations is T = 200 2 s . The percentage error in the determination of g is: 2.1 % 1.1 % 3.0 % 0.2 % In a resonance tube experiment, the first resonance is heard at 18 cm and the second resonance at 56 cm . The end correction of the tube is: 1.0 cm 0.5 cm 2.0 cm 3.0 cm A student measures the period of oscillation of a simple pendulum. In successive measurements, the readings are 2.63 s , 2.56 s , 2.42 s , 2.71 s , and 2.80 s . The absolute error in the third measurement is: 0.20 s 0.11 s 0.08 s 0.62 s