The physical quantity which does not change when X-rays of wavelength \( 10^{-10} \, \text{m} \), or visible light of wavelength 400 nm, or radio waves of 500 m wavelength pass through glass is

A metal foil of neglible thickness is introduced between two parallel plates of a capacitor at the centre. The new capacitance of the capacitor would be :

Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor is

Identify the wrong nuclear equation :

The time required for a 50 Hz alternating current to reach the peak value starting from zero

Eight identical spherical drops, each having a potential of 9 V are combined together to form a single large drop. The potential of this large drop will be :

A Wheatstone bridge has four resistors: R1= R2 = R3 = 1 \( \Omega \) and R4 = 2 \( \Omega \). In order to balance the bridge, resistor R4 has to be shunted by resistance of

If a line makes angles \(\alpha, \beta, \gamma\) with the positive directions of \(x\)-axis, \(y\)-axis, \(z\)-axis respectively, then the value of \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is equal to:

The amount to be deposited at the end of every 6 months to accumulate Rs. 50,000 in 8 years, if money is worth 6% p.a. compounded semiannually, is : (Given \((1.03)^{16}=1.6047\) )

Consider the following hypothesis \(H_0: \mu=315\) and \(H_a: \mu \neq 315\).
A sample of 60 provided a sample mean of 324.6 . The standard deviation ( \(\sigma\) ) is 14 and level of significance \(\alpha=0.05\). Then the confidence interval is :
[Given : \(Z_{\alpha / 2} \frac{14}{\sqrt{60}}=3.54\)]

Match List-I with List-II

List-I (Name of the test/Reaction)	List-II (Species)
(A) Tollen's Test	(I) \(Cu ^{2+} a n d OH ^{-}\)
(B) Fehling's Test	(II) \(Zn - Hg and HCl\)
(C) Clemmensen reduction	(III) \(2\left[ Ag \left(NH _3\right)_2\right]^{+} \) and \(OH ^{-}\)
(D) Wolff Kishner reduction	(IV) Hydrazine KOH /ethylene glycol

Choose the correct answer from the options given below :

Read the given passage and answer the question.
ABO blood groups in human beings are controlled by the gene I. The plasma membrane of the red blood cells has sugar polymers that protrude from its surfaces and the kind of sugar is controlled by the gene. The gene (I) has three alleles IA, IB and I. The alleles IA and IB produce a slightly different form of the sugar while allele i does not produce any sugar. Because humans are diploid organisms, each person possesses any two of the three I gene alleles, IA and IB are completely dominant over I.
Match List - I with List - II.

List - I (Phenotype)	List - II (Genotype)
(A) Blood group A	(I) IB IB, IBi
(B) Blood group B	(II) IA, IA IA
(C) Blood group O	(III) IA IB
(D) Blood group AB	(IV) ii

Choose the correct answer from the options given below :

The role of cryolite in the metallurgy of aluminum is:-