12 Questions
In the given formula Y=AB+A-B+B-C, what would be the value of Y if A=2, B=3, and C=1?
7
What is the torque experienced by a compass needle with a magnetic dipole moment of 45 Am² when placed in a uniform magnetic field of 6 x 10^-5 Wb m^-2 at an angle of 60 degrees?
1.35 x 10^-3 N m
If a diatomic gas's rms speed needs to be increased three times from 300 K isobarically, approximately how much work is needed for 1 mole of the gas?
2.4 x 10^3 J
What will be the amplitude of a particle in simple harmonic motion if it takes π seconds to travel from y = 0 to y = A?
$\frac{5A}{6}$
Given a series circuit with a 100 μF capacitor and a 40 Ω resistor connected to a 100 V, 60 Hz ac supply, what is the current amplitude in the circuit?
2.2 A
Which representation correctly matches a p-type semiconductor at room temperature with its corresponding physical property?
(R) 3.5 x 10^-8 m
What is the maximum percentage error in the estimation of 'g' when the maximum percentage errors in measurement of time period and length of the pendulum are e₁ and e₂ respectively?
$e_1 + 2e_2$
What are the dimensions of the quantity cd in the expression v(t) = at² + bt + c, where a, b, c, and d are constants?
$[LT^{-8}]$
What are the coefficients of static and kinetic friction between the crate and floor if a force of 220 N is needed to start it and 180 N to keep it moving at constant velocity?
0.44, 0.36
If a hydraulic press with 0.25 m³ of oil experiences a pressure increase of $1.6 imes 10^7$ Pa, what is the decrease in volume of the oil?
$4 imes 10^{-4} m³$
In the logic circuit where the output Y is determined by A.B, what is the output Y if A=1 and B=0?
0
Calculate the mean free path of a molecule of air at 27°C and 1 atm, assuming the molecule is a sphere with radius $2.0 imes 10^{-10}$ m.
$3.2 \times 10^{-7}$ m
Test your understanding of error propagation and calculations involving measurement errors. Estimate the acceleration due to gravity 'g' using data from a simple pendulum, considering maximum percentage errors in time period and pendulum length. Solve questions related to velocity of a particle as a function of time and understanding dimensions of constants in the equation.
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