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The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t = 2 \text{ s}$ is
An ac source is connected to a capacitor $C$. Due to decrease in its operating frequency
The net impedance of circuit (as shown in figure) will be
The work functions of Caesium (Cs), Potassium (K) and Sodium (Na) are 2.14 eV, 2.30 eV and 2.75 eV respectively. If incident electromagnetic radiation has an incident energy of 2.20 eV, which of these photosensitive surfaces may emit photoelectrons?
The magnetic energy stored in an inductor of inductance $4 \mu\text{H}$ carrying a current of $2 \text{A}$ is
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$ ($g = 10 \text{ m s}^{-2}$).
A bullet is fired from a gun at the speed of $280 \text{ m s}^{-1}$ in the direction $30^\circ$ above the horizontal. The maximum height attained by the bullet is ($g = 9.8 \text{ m s}^{-2}$, $\sin 30^\circ = 0.5$)
A very long conducting wire is bent in a semi-circular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by
A speed motorcyclist sees a traffic jam ahead of him. He slows down to $36 \text{ km/h}$. He finds that traffic has eased and a car moving in front of him at $18 \text{ km/h}$ is honking at a frequency of $1392 \text{ Hz}$. If the speed of sound is $343 \text{ m/s}$, the frequency of the honk as heard by him will be
If $n_1, n_2$ and $n_3$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by
An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $50 \text{ cm}$. The next larger length of the column resonating with the same tuning fork is
Sound waves travel at $350 \text{ m/s}$ through warm air and at $3500 \text{ m/s}$ through brass. The wavelength of a $700 \text{ Hz}$ acoustic wave as it enters brass from warm air:
An infinite line charge produces a field of $9 \times 10^4$ N/C at a distance of 2 cm. The linear charge density is:
For which one of the following is the Bohr model not valid?
Which colour of the light has the longest wavelength?
A coil has resistance 30 Ω and inductive reactance 20 Ω at 50 Hz frequency. If an AC source of 200 V, 100 Hz, is connected across the coil, the current in the coil will be:
A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes 'Z', the power drawn will be:
A circuit containing an 80 mH inductor and a 60 µF capacitor in series is connected to a 230 V, 50 Hz supply. The resistance of the circuit is negligible. The current amplitude is:
In an AC circuit, an alternating voltage $\varepsilon = 200\sqrt{2}\sin(100t)$ V is connected to a capacitor of capacity $1 \mu\text{F}$. The RMS value of the current in the circuit is: