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A big circular coil with $1000$ turns and an average radius of $10 \text{ m}$ is rotating about its horizontal diameter at a rate of $2 \text{ rad s}^{-1}$. The vertical component of the Earth's magnetic field at that location is $2 \times 10^{-5} \text{ T}$, and the electrical resistance of the coil is $12.56 \Omega$. The maximum induced current in the coil will be:
A square loop with a side length of $1 \text{ m}$ and resistance of $1 \Omega$ is placed in a uniform magnetic field of $0.5 \text{ T}$. The plane of the loop is perpendicular to the direction of the magnetic field. The magnetic flux through the loop is:
On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are $39^{\circ}\text{W}$ and $239^{\circ}\text{W}$ respectively. What will be the temperature on the new scale, corresponding to a temperature of $39^{\circ}\text{C}$ on the Celsius scale?
A siren emitting a sound of frequency $800\text{ Hz}$ moves away from an observer towards a cliff at a speed of $15\text{ ms}^{-1}$. The frequency of sound that the observer hears in the echo reflected from the cliff will be: (Take, velocity of sound in air = $330\text{ ms}^{-1}$)
Planck's constant has the dimensions (unit) of
Match List-I with List-II: **List-I (Quantum Number)** (A) $m_l$ (B) $m_s$ (C) $l$ (D) $n$ **List-II (Information provided)** (I) Shape of the orbital (II) Size of the orbital (III) Orientation of the orbital (IV) Orientation of spin of the electron Choose the correct answer from the options given below:
Elimination reaction of 2-Bromo-pentane to form pent-2-ene is (a) $\beta$-Elimination reaction (b) Follows Zaitsev rule (c) Dehydrohalogenation reaction (d) Dehydration reaction
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
A source of unknown frequency gives $4 \text{ beats/s}$ when sounded with a source of known frequency $250 \text{ Hz}$. The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency $513 \text{ Hz}$. The unknown frequency is
The current $i$ in a coil varies with time as shown in the figure. The variation of induced emf with time would be:
The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux $\phi$ linked with the primary coil is given by $\phi = \phi_0 + 4t$, where $\phi$ is in Weber, $t$ is time in seconds, and $\phi_0$ is a constant, the output voltage across the secondary coil is:
Match List-I with List-II: List-I A. Alfred Hershey and Martha Chase B. Euchromatin C. Frederick Griffith D. Heterochromatin List-II I. Streptococcus pneumoniae II. Densely packed and dark-stained III. Loosely packed and light-stained IV. DNA as genetic material confirmation
A transverse wave is represented by $y=A\sin(\omega t-kx)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
The correct sequence of increasing radii is:
Light travels a distance $x$ in time $t_1$ in air and $10x$ in time $t_2$ in another denser medium. What is the critical angle for this medium?
In which of the following devices, the eddy current effect is not used?
Which of the following is correct about H-bonding in nucleotide:
A wave in a string has an amplitude of $2 \text{ cm}$. The wave travels in the +ve direction of x-axis with a speed of $128 \text{ ms}^{-1}$ and it is noted that $5$ complete waves fit in $4 \text{ m}$ length of the string. The equation describing the wave is:
Dimensional formula for angular momentum is
RNA and DNA are chiral molecules, their chirality is due to: