MCQ
In the relation : $\frac{d y}{d x}=2 \omega \sin \left(\omega t+\phi_0\right)$ the dimensional formula for $\left(\omega t+\phi_0\right)$ is :
  • A
    $MLT$
  • B
    $MLT ^0$
  • C
    $ML ^0 T ^0$
  • $M ^0 L ^0 T ^0$

Answer

Correct option: D.
$M ^0 L ^0 T ^0$
d
(d)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A metallic ball and highly stretched spring are made of the same material and have the same mass. They are heated so that they melt, the latent heat required
Shown below are the black body radiation curves at temperatures $T1$ and $T2$ (T2>T1). Which of the following plots is correct
A copper pipe of length $10 \,m$ carries steam at temperature $110^{\circ} C$. The outer surface of the pipe is maintained at a temperature $10^{\circ} C$. The inner and outer radii of the pipe are $2 \,cm$ and $4 \,cm$, respectively. The thermal conductivity of copper is $0.38 kW / m /{ }^{\circ} C$. In the steady state, the rate at which heat flows radially outward through the pipe is closest to ............. $\,kW$
On observing light from three different stars $P, Q$ and $R$, it was found that intensity of violet colour is maximum in the spectrum of $P$, the intensity of green colour is maximum in the spectrum of $R$ and the intensity of red colour is maximum in the spectrum of $Q$. If $T_P, T_Q$ and $T_R$ are the respective absolute temperatures of $P, Q$ and $R$, then it can be concluded from the above observations that
'$n$' moles of an ideal gas undergoes a process $A \rightarrow B$ as shown in the figure. The maximum temperature of the gas during the  process will be
A litre of dry air at $STP$ expands adiabatically to a volume of $3$ litres. If $\gamma=1.40,$ the work done by air is$(3^{1.4}=4.6555)$ [Take air to be an ideal gas $]$
If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it
The two vectors have magnitudes $3$ and $5$. If angle between them is $60^o$, then the dot product of two vectors will be
Two cylinders $P$ and $Q$ have the same length and diameter and are made of different materials having thermal conductivities in the ratio $2 : 3$ . These two cylinders are combined to make a cylinder. One end of $P$ is kept at $100°C$  and another end of $Q$ at $0°C$ . The temperature at the interface of $P$ and $Q$ is ...... $^oC$
When the speed of a moving body is doubled